##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) 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) $array_y2_init[2 + 1] = exact_soln_y2pp(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_y2 (x) x = c(x) return(sin(c(x))) end def exact_soln_y2p (x) x = c(x) return( cos(c(x))) end def exact_soln_y2pp (x) x = c(x) return( neg( sin(c(x)))) end def exact_soln_y1 (x) x = c(x) return( cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y2[1] (closed_form) 0.09983341664682815 y2[1] (numeric) 0.09983341664682815 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9950041652780258 y1[1] (numeric) 0.9950041652780258 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] 0.11000000000000001 y2[1] (closed_form) 0.10977830083717482 y2[1] (numeric) 0.10977830083717481 absolute error 1.3877787807814457e-17 relative error 1.2641649307724524e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9939560979566968 y1[1] (numeric) 0.9939560979566969 absolute error 1.1102230246251565e-16 relative error 1.1169739054948934e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y2[1] (closed_form) 0.11971220728891939 y2[1] (numeric) 0.11971220728891939 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9928086358538663 y1[1] (numeric) 0.9928086358538663 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] 0.13000000000000003 y2[1] (closed_form) 0.1296341426196949 y2[1] (numeric) 0.1296341426196949 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9915618937147881 y1[1] (numeric) 0.9915618937147881 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] 0.14000000000000004 y2[1] (closed_form) 0.13954311464423652 y2[1] (numeric) 0.13954311464423652 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9902159962126371 y1[1] (numeric) 0.9902159962126372 absolute error 1.1102230246251565e-16 relative error 1.1211927790214665e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y2[1] (closed_form) 0.14943813247359927 y2[1] (numeric) 0.14943813247359927 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9887710779360422 y1[1] (numeric) 0.9887710779360421 absolute error 1.1102230246251565e-16 relative error 1.1228312087592942e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y2[1] (closed_form) 0.15931820661424603 y2[1] (numeric) 0.159318206614246 absolute error 2.7755575615628914e-17 relative error 1.7421471284090544e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9872272833756269 y1[1] (numeric) 0.9872272833756267 absolute error 2.220446049250313e-16 relative error 2.249174112832397e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y2[1] (closed_form) 0.16918234906699608 y2[1] (numeric) 0.16918234906699606 absolute error 2.7755575615628914e-17 relative error 1.6405715944183826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9855847669095607 y1[1] (numeric) 0.9855847669095603 absolute error 3.3306690738754696e-16 relative error 3.379383677285567e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y2[1] (closed_form) 0.17902957342582426 y2[1] (numeric) 0.1790295734258242 absolute error 5.551115123125783e-17 relative error 3.1006693569684045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9838436927881214 y1[1] (numeric) 0.9838436927881212 absolute error 2.220446049250313e-16 relative error 2.2569093703876637e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y2[1] (closed_form) 0.18885889497650066 y2[1] (numeric) 0.18885889497650057 absolute error 8.326672684688674e-17 relative error 4.4089385812221054e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9820042351172703 y1[1] (numeric) 0.9820042351172701 absolute error 2.220446049250313e-16 relative error 2.2611369379533774e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y2[1] (closed_form) 0.1986693307950613 y2[1] (numeric) 0.19866933079506122 absolute error 8.326672684688674e-17 relative error 4.191221992526924e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9800665778412416 y1[1] (numeric) 0.9800665778412414 absolute error 2.220446049250313e-16 relative error 2.265607357146299e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y2[1] (closed_form) 0.20845989984609967 y2[1] (numeric) 0.20845989984609956 absolute error 1.1102230246251565e-16 relative error 5.325834970873556e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9780309147241483 y1[1] (numeric) 0.978030914724148 absolute error 2.220446049250313e-16 relative error 2.2703229681411303e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y2[1] (closed_form) 0.21822962308086943 y2[1] (numeric) 0.2182296230808693 absolute error 1.3877787807814457e-16 relative error 6.359259394711854e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9758974493306055 y1[1] (numeric) 0.9758974493306055 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] 0.23000000000000012 y2[1] (closed_form) 0.22797752353518852 y2[1] (numeric) 0.2279775235351884 absolute error 1.1102230246251565e-16 relative error 4.8698793083160795e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9736663950053748 y1[1] (numeric) 0.9736663950053749 absolute error 1.1102230246251565e-16 relative error 1.1402499154949555e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y2[1] (closed_form) 0.23770262642713472 y2[1] (numeric) 0.2377026264271346 absolute error 1.1102230246251565e-16 relative error 4.670638441454007e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9713379748520296 y1[1] (numeric) 0.9713379748520296 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] 0.2500000000000001 y2[1] (closed_form) 0.24740395925452305 y2[1] (numeric) 0.24740395925452294 absolute error 1.1102230246251565e-16 relative error 4.487490935757365e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9689124217106447 y1[1] (numeric) 0.9689124217106446 absolute error 1.1102230246251565e-16 relative error 1.1458445569982719e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y2[1] (closed_form) 0.25708055189215523 y2[1] (numeric) 0.25708055189215506 absolute error 1.6653345369377348e-16 relative error 6.477870553336681e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9663899781345132 y1[1] (numeric) 0.9663899781345132 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] 0.27000000000000013 y2[1] (closed_form) 0.26673143668883126 y2[1] (numeric) 0.26673143668883104 absolute error 2.220446049250313e-16 relative error 8.324650730392475e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9637708963658905 y1[1] (numeric) 0.9637708963658905 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] 0.28000000000000014 y2[1] (closed_form) 0.2763556485641139 y2[1] (numeric) 0.27635564856411365 absolute error 2.220446049250313e-16 relative error 8.034740960741299e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9610554383107709 y1[1] (numeric) 0.961055438310771 absolute error 1.1102230246251565e-16 relative error 1.1552122597387043e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y2[1] (closed_form) 0.2859522251048357 y2[1] (numeric) 0.2859522251048353 absolute error 3.885780586188048e-16 relative error 1.3588915367815182e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9582438755126971 y1[1] (numeric) 0.9582438755126974 absolute error 3.3306690738754696e-16 relative error 3.4758052297422036e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y2[1] (closed_form) 0.2955202066613397 y2[1] (numeric) 0.2955202066613393 absolute error 3.885780586188048e-16 relative error 1.3148950557689192e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.955336489125606 y1[1] (numeric) 0.9553364891256064 absolute error 4.440892098500626e-16 relative error 4.6485109163633603e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y2[1] (closed_form) 0.30505863644344366 y2[1] (numeric) 0.30505863644344333 absolute error 3.3306690738754696e-16 relative error 1.0918127454794937e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9523335698857134 y1[1] (numeric) 0.9523335698857137 absolute error 3.3306690738754696e-16 relative error 3.49737652771725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y2[1] (closed_form) 0.31456656061611793 y2[1] (numeric) 0.3145665606161176 absolute error 3.3306690738754696e-16 relative error 1.0588121850434254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9492354180824408 y1[1] (numeric) 0.9492354180824413 absolute error 4.440892098500626e-16 relative error 4.678388536609509e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y2[1] (closed_form) 0.32404302839486854 y2[1] (numeric) 0.32404302839486826 absolute error 2.7755575615628914e-16 relative error 8.565398167371418e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9460423435283869 y1[1] (numeric) 0.9460423435283875 absolute error 5.551115123125783e-16 relative error 5.86772374524187e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y2[1] (closed_form) 0.33348709214081457 y2[1] (numeric) 0.33348709214081423 absolute error 3.3306690738754696e-16 relative error 9.987400269360645e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.9427546655283462 y1[1] (numeric) 0.9427546655283467 absolute error 5.551115123125783e-16 relative error 5.888186318351214e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y2[1] (closed_form) 0.34289780745545156 y2[1] (numeric) 0.3428978074554511 absolute error 4.440892098500626e-16 relative error 1.2951065891774696e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9393727128473789 y1[1] (numeric) 0.9393727128473793 absolute error 4.440892098500626e-16 relative error 4.727508088924171e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y2[1] (closed_form) 0.35227423327509017 y2[1] (numeric) 0.3522742332750897 absolute error 4.440892098500626e-16 relative error 1.2606349482940306e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9358968236779348 y1[1] (numeric) 0.9358968236779351 absolute error 3.3306690738754696e-16 relative error 3.558799420631045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y2[1] (closed_form) 0.3616154319649622 y2[1] (numeric) 0.3616154319649617 absolute error 4.996003610813204e-16 relative error 1.381579205197548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9323273456060344 y1[1] (numeric) 0.9323273456060348 absolute error 4.440892098500626e-16 relative error 4.7632326987190785e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y2[1] (closed_form) 0.3709204694129829 y2[1] (numeric) 0.3709204694129824 absolute error 4.996003610813204e-16 relative error 1.3469204378825082e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9286646355765101 y1[1] (numeric) 0.9286646355765106 absolute error 4.440892098500626e-16 relative error 4.7820191793388836e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y2[1] (closed_form) 0.38018841512316165 y2[1] (numeric) 0.38018841512316115 absolute error 4.996003610813204e-16 relative error 1.314086229901233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.924909059857313 y1[1] (numeric) 0.9249090598573132 absolute error 2.220446049250313e-16 relative error 2.4007182388210842e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y2[1] (closed_form) 0.3894183423086507 y2[1] (numeric) 0.38941834230865024 absolute error 4.440892098500626e-16 relative error 1.1403910951325455e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.921060994002885 y1[1] (numeric) 0.9210609940028852 absolute error 2.220446049250313e-16 relative error 2.4107481086571322e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y2[1] (closed_form) 0.3986093279844231 y2[1] (numeric) 0.3986093279844226 absolute error 4.996003610813204e-16 relative error 1.253358428934819e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.917120822816605 y1[1] (numeric) 0.9171208228166053 absolute error 3.3306690738754696e-16 relative error 3.6316578917557706e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y2[1] (closed_form) 0.4077604530595704 y2[1] (numeric) 0.4077604530595698 absolute error 6.106226635438361e-16 relative error 1.4975033968157505e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9130889403123081 y1[1] (numeric) 0.9130889403123086 absolute error 4.440892098500626e-16 relative error 4.863592036260659e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y2[1] (closed_form) 0.416870802429211 y2[1] (numeric) 0.41687080242921043 absolute error 5.551115123125783e-16 relative error 1.331615236849892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.908965749674885 y1[1] (numeric) 0.9089657496748855 absolute error 5.551115123125783e-16 relative error 6.107067428130578e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y2[1] (closed_form) 0.42593946506599983 y2[1] (numeric) 0.42593946506599933 absolute error 4.996003610813204e-16 relative error 1.172937475995343e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9047516632199633 y1[1] (numeric) 0.9047516632199637 absolute error 4.440892098500626e-16 relative error 4.908409985891296e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y2[1] (closed_form) 0.43496553411123046 y2[1] (numeric) 0.4349655341112299 absolute error 5.551115123125783e-16 relative error 1.2762195364440617e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.9004471023526768 y1[1] (numeric) 0.9004471023526771 absolute error 3.3306690738754696e-16 relative error 3.6989058715088755e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y2[1] (closed_form) 0.44394810696552 y2[1] (numeric) 0.4439481069655195 absolute error 4.996003610813204e-16 relative error 1.1253575659916549e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8960524975255251 y1[1] (numeric) 0.8960524975255255 absolute error 4.440892098500626e-16 relative error 4.9560624079105615e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y2[1] (closed_form) 0.45288628537906855 y2[1] (numeric) 0.452886285379068 absolute error 5.551115123125783e-16 relative error 1.2257194139759534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8915682881953289 y1[1] (numeric) 0.8915682881953292 absolute error 3.3306690738754696e-16 relative error 3.7357419706091785e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y2[1] (closed_form) 0.4617791755414832 y2[1] (numeric) 0.46177917554148257 absolute error 6.106226635438361e-16 relative error 1.3223261157842788e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.886994922779284 y1[1] (numeric) 0.8869949227792844 absolute error 3.3306690738754696e-16 relative error 3.755003538734188e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y2[1] (closed_form) 0.4706258881711583 y2[1] (numeric) 0.47062588817115775 absolute error 5.551115123125783e-16 relative error 1.179517587674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8823328586101213 y1[1] (numeric) 0.8823328586101219 absolute error 5.551115123125783e-16 relative error 6.2914070001542e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y2[1] (closed_form) 0.4794255386042033 y2[1] (numeric) 0.47942553860420273 absolute error 5.551115123125783e-16 relative error 1.157868047515213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8775825618903725 y1[1] (numeric) 0.8775825618903731 absolute error 5.551115123125783e-16 relative error 6.325461972681297e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y2[1] (closed_form) 0.4881772468829078 y2[1] (numeric) 0.48817724688290726 absolute error 5.551115123125783e-16 relative error 1.1371105799318932e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8727445076457511 y1[1] (numeric) 0.8727445076457516 absolute error 5.551115123125783e-16 relative error 6.360527135369831e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y2[1] (closed_form) 0.496880137843737 y2[1] (numeric) 0.49688013784373647 absolute error 5.551115123125783e-16 relative error 1.1171940072339022e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8678191796776498 y1[1] (numeric) 0.8678191796776501 absolute error 3.3306690738754696e-16 relative error 3.8379758731682357e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y2[1] (closed_form) 0.5055333412048473 y2[1] (numeric) 0.5055333412048468 absolute error 4.440892098500626e-16 relative error 8.78456817094707e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8628070705147608 y1[1] (numeric) 0.8628070705147614 absolute error 5.551115123125783e-16 relative error 6.433784924611156e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y2[1] (closed_form) 0.5141359916531134 y2[1] (numeric) 0.514135991653113 absolute error 4.440892098500626e-16 relative error 8.637582605764911e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8577086813638239 y1[1] (numeric) 0.8577086813638244 absolute error 4.440892098500626e-16 relative error 5.177622886408542e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y2[1] (closed_form) 0.5226872289306594 y2[1] (numeric) 0.522687228930659 absolute error 4.440892098500626e-16 relative error 8.496270527952314e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8525245220595056 y1[1] (numeric) 0.852524522059506 absolute error 4.440892098500626e-16 relative error 5.2091077541939084e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y2[1] (closed_form) 0.5311861979208837 y2[1] (numeric) 0.5311861979208832 absolute error 5.551115123125783e-16 relative error 1.0450412952846678e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.8472551110134159 y1[1] (numeric) 0.8472551110134163 absolute error 4.440892098500626e-16 relative error 5.2415052335167403e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y2[1] (closed_form) 0.5396320487339695 y2[1] (numeric) 0.5396320487339691 absolute error 4.440892098500626e-16 relative error 8.229481753204616e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8419009751622685 y1[1] (numeric) 0.841900975162269 absolute error 5.551115123125783e-16 relative error 6.59354875085619e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y2[1] (closed_form) 0.5480239367918739 y2[1] (numeric) 0.5480239367918734 absolute error 4.440892098500626e-16 relative error 8.103463736452024e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8364626499151867 y1[1] (numeric) 0.8364626499151873 absolute error 5.551115123125783e-16 relative error 6.636417207258015e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y2[1] (closed_form) 0.5563610229127841 y2[1] (numeric) 0.5563610229127838 absolute error 3.3306690738754696e-16 relative error 5.986524822386038e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8309406791001632 y1[1] (numeric) 0.8309406791001639 absolute error 6.661338147750939e-16 relative error 8.01662298560782e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y2[1] (closed_form) 0.5646424733950357 y2[1] (numeric) 0.5646424733950353 absolute error 4.440892098500626e-16 relative error 7.864962888460721e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8253356149096781 y1[1] (numeric) 0.8253356149096787 absolute error 5.551115123125783e-16 relative error 6.725888260296725e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y2[1] (closed_form) 0.5728674601004816 y2[1] (numeric) 0.5728674601004813 absolute error 3.3306690738754696e-16 relative error 5.814030828860948e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8196480178454792 y1[1] (numeric) 0.8196480178454798 absolute error 5.551115123125783e-16 relative error 6.772559686921958e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y2[1] (closed_form) 0.5810351605373054 y2[1] (numeric) 0.5810351605373052 absolute error 2.220446049250313e-16 relative error 3.8215347367222695e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8138784566625337 y1[1] (numeric) 0.8138784566625342 absolute error 5.551115123125783e-16 relative error 6.820570169517947e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y2[1] (closed_form) 0.5891447579422698 y2[1] (numeric) 0.5891447579422696 absolute error 2.220446049250313e-16 relative error 3.7689311825598794e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8080275083121516 y1[1] (numeric) 0.8080275083121521 absolute error 4.440892098500626e-16 relative error 5.4959664773999887e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y2[1] (closed_form) 0.5971954413623924 y2[1] (numeric) 0.5971954413623919 absolute error 5.551115123125783e-16 relative error 9.295307262329275e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.8020957578842923 y1[1] (numeric) 0.8020957578842927 absolute error 3.3306690738754696e-16 relative error 4.1524581586877575e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y2[1] (closed_form) 0.6051864057360399 y2[1] (numeric) 0.6051864057360393 absolute error 5.551115123125783e-16 relative error 9.172570749295673e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.7960837985490555 y1[1] (numeric) 0.7960837985490558 absolute error 2.220446049250313e-16 relative error 2.7892114539917832e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y2[1] (closed_form) 0.6131168519734341 y2[1] (numeric) 0.6131168519734334 absolute error 7.771561172376096e-16 relative error 1.2675497578254187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7899922314973647 y1[1] (numeric) 0.7899922314973651 absolute error 3.3306690738754696e-16 relative error 4.216078261380448e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y2[1] (closed_form) 0.62098598703656 y2[1] (numeric) 0.6209859870365592 absolute error 8.881784197001252e-16 relative error 1.4302712754254702e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.783821665880849 y1[1] (numeric) 0.7838216658808494 absolute error 4.440892098500626e-16 relative error 5.665691944748691e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y2[1] (closed_form) 0.6287930240184689 y2[1] (numeric) 0.6287930240184679 absolute error 9.992007221626409e-16 relative error 1.5890773020619458e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7775727187509276 y1[1] (numeric) 0.7775727187509281 absolute error 5.551115123125783e-16 relative error 7.139030201629178e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y2[1] (closed_form) 0.6365371822219683 y2[1] (numeric) 0.6365371822219672 absolute error 1.1102230246251565e-15 relative error 1.744160522955921e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7712460149971063 y1[1] (numeric) 0.7712460149971068 absolute error 4.440892098500626e-16 relative error 5.758074611921708e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y2[1] (closed_form) 0.6442176872376915 y2[1] (numeric) 0.6442176872376904 absolute error 1.1102230246251565e-15 relative error 1.7233662574301955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.764842187284488 y1[1] (numeric) 0.7648421872844888 absolute error 7.771561172376096e-16 relative error 1.0160999617409196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y2[1] (closed_form) 0.6518337710215371 y2[1] (numeric) 0.6518337710215361 absolute error 9.992007221626409e-16 relative error 1.5329072634526428e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7583618759905079 y1[1] (numeric) 0.7583618759905086 absolute error 7.771561172376096e-16 relative error 1.0247826820441815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y2[1] (closed_form) 0.6593846719714735 y2[1] (numeric) 0.6593846719714724 absolute error 1.1102230246251565e-15 relative error 1.6837258611209986e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7518057291408946 y1[1] (numeric) 0.7518057291408955 absolute error 8.881784197001252e-16 relative error 1.181393523982674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y2[1] (closed_form) 0.6668696350036982 y2[1] (numeric) 0.6668696350036971 absolute error 1.1102230246251565e-15 relative error 1.664827675980478e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.74517440234487 y1[1] (numeric) 0.745174402344871 absolute error 9.992007221626409e-16 relative error 1.3408951233676522e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y2[1] (closed_form) 0.6742879116281455 y2[1] (numeric) 0.6742879116281443 absolute error 1.2212453270876722e-15 relative error 1.8111630151263357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7384685587295875 y1[1] (numeric) 0.7384685587295887 absolute error 1.2212453270876722e-15 relative error 1.6537539921653833e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y2[1] (closed_form) 0.6816387600233346 y2[1] (numeric) 0.6816387600233332 absolute error 1.3322676295501878e-15 relative error 1.9545068556614655e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7316888688738205 y1[1] (numeric) 0.7316888688738217 absolute error 1.2212453270876722e-15 relative error 1.6690773620314233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y2[1] (closed_form) 0.6889214451105518 y2[1] (numeric) 0.6889214451105504 absolute error 1.3322676295501878e-15 relative error 1.9338454899402903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7248360107409048 y1[1] (numeric) 0.7248360107409061 absolute error 1.3322676295501878e-15 relative error 1.8380262705054975e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y2[1] (closed_form) 0.6961352386273572 y2[1] (numeric) 0.6961352386273557 absolute error 1.4432899320127035e-15 relative error 2.0732895735296918e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.717910669610943 y1[1] (numeric) 0.7179106696109443 absolute error 1.3322676295501878e-15 relative error 1.855756831518026e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y2[1] (closed_form) 0.7032794192004106 y2[1] (numeric) 0.7032794192004094 absolute error 1.2212453270876722e-15 relative error 1.7365008753933962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.710913538012277 y1[1] (numeric) 0.7109135380122783 absolute error 1.3322676295501878e-15 relative error 1.8740220270319012e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y2[1] (closed_form) 0.7103532724176083 y2[1] (numeric) 0.710353272417607 absolute error 1.2212453270876722e-15 relative error 1.7192084199616619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.7038453156522356 y1[1] (numeric) 0.703845315652237 absolute error 1.3322676295501878e-15 relative error 1.8928415092392982e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y2[1] (closed_form) 0.7173560908995231 y2[1] (numeric) 0.7173560908995219 absolute error 1.2212453270876722e-15 relative error 1.702425535352047e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6967067093471649 y1[1] (numeric) 0.6967067093471663 absolute error 1.3322676295501878e-15 relative error 1.9122359691333568e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y2[1] (closed_form) 0.7242871743701429 y2[1] (numeric) 0.7242871743701417 absolute error 1.2212453270876722e-15 relative error 1.6861341333977033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6894984329517466 y1[1] (numeric) 0.689498432951748 absolute error 1.3322676295501878e-15 relative error 1.932227204414001e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y2[1] (closed_form) 0.7311458297268963 y2[1] (numeric) 0.7311458297268949 absolute error 1.4432899320127035e-15 relative error 1.974011029443761e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6822212072876132 y1[1] (numeric) 0.6822212072876146 absolute error 1.4432899320127035e-15 relative error 2.115574708899714e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y2[1] (closed_form) 0.7379313711099631 y2[1] (numeric) 0.7379313711099617 absolute error 1.4432899320127035e-15 relative error 1.9558592960233846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6748757600712666 y1[1] (numeric) 0.6748757600712681 absolute error 1.5543122344752192e-15 relative error 2.3031087000533024e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y2[1] (closed_form) 0.7446431199708597 y2[1] (numeric) 0.7446431199708582 absolute error 1.5543122344752192e-15 relative error 2.0873250457696357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6674628258413077 y1[1] (numeric) 0.6674628258413091 absolute error 1.4432899320127035e-15 relative error 2.162352532807351e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y2[1] (closed_form) 0.7512804051402932 y2[1] (numeric) 0.7512804051402917 absolute error 1.4432899320127035e-15 relative error 1.9211068492371839e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6599831458849816 y1[1] (numeric) 0.6599831458849831 absolute error 1.4432899320127035e-15 relative error 2.186858772093905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y2[1] (closed_form) 0.7578425628952774 y2[1] (numeric) 0.757842562895276 absolute error 1.4432899320127035e-15 relative error 1.9044719875573215e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6524374681640513 y1[1] (numeric) 0.6524374681640527 absolute error 1.3322676295501878e-15 relative error 2.041985162653469e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y2[1] (closed_form) 0.7643289370255055 y2[1] (numeric) 0.7643289370255041 absolute error 1.4432899320127035e-15 relative error 1.8883099436604756e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6448265472400007 y1[1] (numeric) 0.644826547240002 absolute error 1.3322676295501878e-15 relative error 2.0660868186221335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y2[1] (closed_form) 0.7707388788989697 y2[1] (numeric) 0.7707388788989683 absolute error 1.4432899320127035e-15 relative error 1.8726055886456627e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6371511441985797 y1[1] (numeric) 0.637151144198581 absolute error 1.3322676295501878e-15 relative error 2.0909758095560486e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y2[1] (closed_form) 0.7770717475268243 y2[1] (numeric) 0.7770717475268228 absolute error 1.4432899320127035e-15 relative error 1.857344494387092e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6294120265736963 y1[1] (numeric) 0.6294120265736975 absolute error 1.2212453270876722e-15 relative error 1.9402955068013457e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y2[1] (closed_form) 0.7833269096274839 y2[1] (numeric) 0.7833269096274823 absolute error 1.5543122344752192e-15 relative error 1.9842446561862432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.621609968270664 y1[1] (numeric) 0.6216099682706653 absolute error 1.3322676295501878e-15 relative error 2.1432533221058104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y2[1] (closed_form) 0.7895037396899508 y2[1] (numeric) 0.7895037396899494 absolute error 1.4432899320127035e-15 relative error 1.8280976510377312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.613745749488811 y1[1] (numeric) 0.6137457494888126 absolute error 1.5543122344752192e-15 relative error 2.5325018312058475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y2[1] (closed_form) 0.7956016200363665 y2[1] (numeric) 0.7956016200363649 absolute error 1.5543122344752192e-15 relative error 1.953631309101875e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.6058201566434622 y1[1] (numeric) 0.6058201566434638 absolute error 1.5543122344752192e-15 relative error 2.565633080098991e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y2[1] (closed_form) 0.8016199408837775 y2[1] (numeric) 0.8016199408837762 absolute error 1.3322676295501878e-15 relative error 1.6619691721757532e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5978339822872977 y1[1] (numeric) 0.5978339822872991 absolute error 1.4432899320127035e-15 relative error 2.4141985480495986e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y2[1] (closed_form) 0.8075581004051147 y2[1] (numeric) 0.8075581004051134 absolute error 1.2212453270876722e-15 relative error 1.5122693048029978e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5897880250310976 y1[1] (numeric) 0.589788025031099 absolute error 1.3322676295501878e-15 relative error 2.2588923019926383e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y2[1] (closed_form) 0.8134155047893742 y2[1] (numeric) 0.813415504789373 absolute error 1.2212453270876722e-15 relative error 1.5013794547768074e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5816830894638829 y1[1] (numeric) 0.5816830894638843 absolute error 1.3322676295501878e-15 relative error 2.290366788517254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y2[1] (closed_form) 0.8191915683009987 y2[1] (numeric) 0.8191915683009974 absolute error 1.3322676295501878e-15 relative error 1.6263199977916126e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.573519986072456 y1[1] (numeric) 0.5735199860724575 absolute error 1.4432899320127035e-15 relative error 2.5165468807749003e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y2[1] (closed_form) 0.8248857133384505 y2[1] (numeric) 0.8248857133384494 absolute error 1.1102230246251565e-15 relative error 1.3459113264695764e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5652995311603537 y1[1] (numeric) 0.565299531160355 absolute error 1.3322676295501878e-15 relative error 2.3567463903879923e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y2[1] (closed_form) 0.8304973704919709 y2[1] (numeric) 0.8304973704919697 absolute error 1.2212453270876722e-15 relative error 1.4704987282069654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5570225467662167 y1[1] (numeric) 0.5570225467662182 absolute error 1.5543122344752192e-15 relative error 2.7903937524589406e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y2[1] (closed_form) 0.836025978600521 y2[1] (numeric) 0.8360259786005197 absolute error 1.2212453270876722e-15 relative error 1.4607743758537207e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.548689860581587 y1[1] (numeric) 0.5486898605815885 absolute error 1.5543122344752192e-15 relative error 2.832770105916878e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y2[1] (closed_form) 0.8414709848078968 y2[1] (numeric) 0.8414709848078956 absolute error 1.2212453270876722e-15 relative error 1.4513219696653898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5403023058681392 y1[1] (numeric) 0.5403023058681409 absolute error 1.6653345369377348e-15 relative error 3.0822273361612483e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y2[1] (closed_form) 0.846831844618015 y2[1] (numeric) 0.8468318446180143 absolute error 6.661338147750939e-16 relative error 7.866187590944582e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5318607213743558 y1[1] (numeric) 0.5318607213743567 absolute error 8.881784197001252e-16 relative error 1.6699455026590909e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y2[1] (closed_form) 0.8521080219493621 y2[1] (numeric) 0.8521080219493622 absolute error 1.1102230246251565e-16 relative error 1.3029134757883237e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5233659512516509 y1[1] (numeric) 0.5233659512516508 absolute error 1.1102230246251565e-16 relative error 2.1213130544125257e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y2[1] (closed_form) 0.857298989188602 y2[1] (numeric) 0.8572989891886026 absolute error 5.551115123125783e-16 relative error 6.475121507351458e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.5148188449699576 y1[1] (numeric) 0.5148188449699566 absolute error 9.992007221626409e-16 relative error 1.9408782952010035e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y2[1] (closed_form) 0.8624042272433365 y2[1] (numeric) 0.8624042272433377 absolute error 1.1102230246251565e-15 relative error 1.2873580503819764e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.5062202572327816 y1[1] (numeric) 0.5062202572327795 absolute error 2.1094237467877974e-15 relative error 4.167007773096276e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y2[1] (closed_form) 0.8674232255940145 y2[1] (numeric) 0.8674232255940163 absolute error 1.7763568394002505e-15 relative error 2.04785482678746e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4975710478917312 y1[1] (numeric) 0.4975710478917282 absolute error 2.9976021664879227e-15 relative error 6.024470634272485e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y2[1] (closed_form) 0.8723554823449834 y2[1] (numeric) 0.8723554823449857 absolute error 2.3314683517128287e-15 relative error 2.672612712246155e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.48887208186053277 y1[1] (numeric) 0.4888720818605288 absolute error 3.9968028886505635e-15 relative error 8.175559695369936e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y2[1] (closed_form) 0.8772005042746782 y2[1] (numeric) 0.8772005042746809 absolute error 2.6645352591003757e-15 relative error 3.037544148818716e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4801242290285403 y1[1] (numeric) 0.48012422902853524 absolute error 5.051514762044462e-15 relative error 1.0521266073710647e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y2[1] (closed_form) 0.8819578068849436 y2[1] (numeric) 0.8819578068849467 absolute error 3.1086244689504383e-15 relative error 3.524686152424949e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4713283641737472 y1[1] (numeric) 0.4713283641737411 absolute error 6.106226635438361e-15 relative error 1.2955355755308214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y2[1] (closed_form) 0.8866269144494829 y2[1] (numeric) 0.8866269144494865 absolute error 3.552713678800501e-15 relative error 4.0069995856221243e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.46248536687530906 y1[1] (numeric) 0.462485366875302 absolute error 7.049916206369744e-15 relative error 1.5243544361200244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y2[1] (closed_form) 0.8912073600614306 y2[1] (numeric) 0.8912073600614349 absolute error 4.218847493575595e-15 relative error 4.733856207476553e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4535961214255866 y1[1] (numeric) 0.45359612142557854 absolute error 8.049116928532385e-15 relative error 1.7745118505941325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y2[1] (closed_form) 0.8956986856800425 y2[1] (numeric) 0.8956986856800473 absolute error 4.773959005888173e-15 relative error 5.32987162112852e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4446615167417171 y1[1] (numeric) 0.44466151674170795 absolute error 9.159339953157541e-15 relative error 2.0598454348541636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y2[1] (closed_form) 0.9001004421764995 y2[1] (numeric) 0.9001004421765045 absolute error 4.9960036108132044e-15 relative error 5.550495674385575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4356824462767235 y1[1] (numeric) 0.4356824462767133 absolute error 1.0158540675320182e-14 relative error 2.3316387341591427e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y2[1] (closed_form) 0.9044121893788201 y2[1] (numeric) 0.9044121893788255 absolute error 5.440092820663267e-15 relative error 6.015059156157218e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.42665980793016967 y1[1] (numeric) 0.4266598079301584 absolute error 1.1268763699945339e-14 relative error 2.6411589492370626e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y2[1] (closed_form) 0.9086334961158771 y2[1] (numeric) 0.9086334961158827 absolute error 5.662137425588298e-15 relative error 6.23148656723768e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.4175945039583715 y1[1] (numeric) 0.41759450395835923 absolute error 1.226796442210798e-14 relative error 2.9377696080336654e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y2[1] (closed_form) 0.9127639402605146 y2[1] (numeric) 0.9127639402605204 absolute error 5.88418203051333e-15 relative error 6.446554000406621e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.40848744088417177 y1[1] (numeric) 0.4084874408841584 absolute error 1.3378187446733136e-14 relative error 3.2750547771495805e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y2[1] (closed_form) 0.9168031087717602 y2[1] (numeric) 0.9168031087717663 absolute error 6.106226635438361e-15 relative error 6.660346782221173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3993395294062887 y1[1] (numeric) 0.39933952940627426 absolute error 1.4432899320127035e-14 relative error 3.6141924996969132e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y2[1] (closed_form) 0.9207505977361286 y2[1] (numeric) 0.9207505977361351 absolute error 6.5503158452884236e-15 relative error 7.114104363759135e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3901516843082468 y1[1] (numeric) 0.39015168430823133 absolute error 1.5487611193520934e-14 relative error 3.96963842946905e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y2[1] (closed_form) 0.9246060124080131 y2[1] (numeric) 0.9246060124080199 absolute error 6.772360450213455e-15 relative error 7.324590538380499e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3809248243668995 y1[1] (numeric) 0.38092482436688285 absolute error 1.6653345369377348e-14 relative error 4.371819399550911e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y2[1] (closed_form) 0.9283689672491592 y2[1] (numeric) 0.9283689672491664 absolute error 7.216449660063518e-15 relative error 7.773256016351459e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.37165987226055175 y1[1] (numeric) 0.37165987226053404 absolute error 1.7708057242771247e-14 relative error 4.764586807573628e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y2[1] (closed_form) 0.9320390859672186 y2[1] (numeric) 0.9320390859672261 absolute error 7.438494264988549e-15 relative error 7.980882322407424e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3623577544766935 y1[1] (numeric) 0.3623577544766747 absolute error 1.8818280267396403e-14 relative error 5.193287582481356e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y2[1] (closed_form) 0.935616001553378 y2[1] (numeric) 0.9356160015533855 absolute error 7.549516567451064e-15 relative error 8.069033187671871e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3530194012193514 y1[1] (numeric) 0.3530194012193315 absolute error 1.9872992140790302e-14 relative error 5.629433417015532e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y2[1] (closed_form) 0.9390993563190595 y2[1] (numeric) 0.9390993563190673 absolute error 7.771561172376096e-15 relative error 8.275547331687984e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.34364574631606915 y1[1] (numeric) 0.3436457463160482 absolute error 2.09277040141842e-14 relative error 6.08990631734341e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y2[1] (closed_form) 0.9424888019316893 y2[1] (numeric) 0.9424888019316972 absolute error 7.882583474838611e-15 relative error 8.363583162667575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3342377271245258 y1[1] (numeric) 0.33423772712450384 absolute error 2.19824158875781e-14 relative error 6.576880496613773e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y2[1] (closed_form) 0.9457839994495306 y2[1] (numeric) 0.9457839994495387 absolute error 8.104628079763643e-15 relative error 8.569216739213958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.3247962844388006 y1[1] (numeric) 0.32479628443877745 absolute error 2.3148150063434514e-14 relative error 7.126975021722017e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y2[1] (closed_form) 0.9489846193555778 y2[1] (numeric) 0.9489846193555859 absolute error 8.104628079763643e-15 relative error 8.540315527207608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.31532236239529415 y1[1] (numeric) 0.3153223623952698 absolute error 2.4369395390522186e-14 relative error 7.728406956425198e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y2[1] (closed_form) 0.9520903415905072 y2[1] (numeric) 0.9520903415905153 absolute error 8.104628079763643e-15 relative error 8.512456986197884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.30581690837831593 y1[1] (numeric) 0.3058169083782904 absolute error 2.55351295663786e-14 relative error 8.349809597443822e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y2[1] (closed_form) 0.9551008555846836 y2[1] (numeric) 0.9551008555846918 absolute error 8.215650382226158e-15 relative error 8.601866843891359e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.2962808729253465 y1[1] (numeric) 0.29628087292531985 absolute error 2.6645352591003757e-14 relative error 8.993274634275009e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y2[1] (closed_form) 0.9580158602892163 y2[1] (numeric) 0.9580158602892246 absolute error 8.326672684688674e-15 relative error 8.691581246029609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.28671520963198444 y1[1] (numeric) 0.2867152096319566 absolute error 2.781108676686017e-14 relative error 9.699899353981713e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y2[1] (closed_form) 0.960835064206064 y2[1] (numeric) 0.9608350642060723 absolute error 8.326672684688674e-15 relative error 8.666079116886711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.27712087505658767 y1[1] (numeric) 0.2771208750565588 absolute error 2.886579864025407e-14 relative error 1.0416320544007996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y2[1] (closed_form) 0.9635581854171843 y2[1] (numeric) 0.9635581854171926 absolute error 8.326672684688674e-15 relative error 8.641587825942799e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.2674988286246186 y1[1] (numeric) 0.2674988286245886 absolute error 2.9976021664879227e-14 relative error 1.1206038478375773e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y2[1] (closed_form) 0.9661849516127254 y2[1] (numeric) 0.9661849516127338 absolute error 8.326672684688674e-15 relative error 8.618093948565494e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.257850032532702 y1[1] (numeric) 0.25785003253267097 absolute error 3.1030733538273125e-14 relative error 1.2034411333393039e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y2[1] (closed_form) 0.9687151001182567 y2[1] (numeric) 0.9687151001182649 absolute error 8.215650382226158e-15 relative error 8.480976895294836e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.24817545165240645 y1[1] (numeric) 0.24817545165237426 absolute error 3.219646771412954e-14 relative error 1.2973268508129395e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y2[1] (closed_form) 0.971148377921036 y2[1] (numeric) 0.9711483779210444 absolute error 8.326672684688674e-15 relative error 8.57404787362546e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.23847605343375786 y1[1] (numeric) 0.23847605343372452 absolute error 3.3334446314370325e-14 relative error 1.397811052069835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y2[1] (closed_form) 0.973484541695311 y2[1] (numeric) 0.9734845416953191 absolute error 8.104628079763643e-15 relative error 8.325379328211557e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.22875280780849527 y1[1] (numeric) 0.2287528078084608 absolute error 3.447242491461111e-14 relative error 1.5069727556511723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y2[1] (closed_form) 0.9757233578266508 y2[1] (numeric) 0.9757233578266589 absolute error 8.104628079763643e-15 relative error 8.306276584190916e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.21900668709307855 y1[1] (numeric) 0.21900668709304297 absolute error 3.558264793923627e-14 relative error 1.6247288341526086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y2[1] (closed_form) 0.977864602435308 y2[1] (numeric) 0.977864602435316 absolute error 7.993605777301127e-15 relative error 8.1745527523888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.20923866589145748 y1[1] (numeric) 0.20923866589142073 absolute error 3.674838211509268e-14 relative error 1.7562902133086575e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y2[1] (closed_form) 0.9799080613986062 y2[1] (numeric) 0.9799080613986141 absolute error 7.882583474838611e-15 relative error 8.044207191833827e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.19944972099761224 y1[1] (numeric) 0.19944972099757438 absolute error 3.785860513971784e-14 relative error 1.8981528252010476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y2[1] (closed_form) 0.9818535303723519 y2[1] (numeric) 0.9818535303723596 absolute error 7.66053886991358e-15 relative error 7.802119799893622e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1896408312978748 y1[1] (numeric) 0.1896408312978358 absolute error 3.8996583739958623e-14 relative error 2.056339000049281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y2[1] (closed_form) 0.9837008148112689 y2[1] (numeric) 0.9837008148112765 absolute error 7.549516567451064e-15 relative error 7.674606398389028e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.17981297767304108 y1[1] (numeric) 0.17981297767300092 absolute error 4.016231791581504e-14 relative error 2.233560582531662e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y2[1] (closed_form) 0.9854497299884528 y2[1] (numeric) 0.9854497299884601 absolute error 7.327471962526033e-15 relative error 7.435662864925534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1699671429002837 y1[1] (numeric) 0.1699671429002424 absolute error 4.1300296516055823e-14 relative error 2.4298988505258265e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y2[1] (closed_form) 0.9871001010138433 y2[1] (numeric) 0.9871001010138504 absolute error 7.105427357601002e-15 relative error 7.198284500531476e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.16010431155487512 y1[1] (numeric) 0.16010431155483265 absolute error 4.246603069191224e-14 relative error 2.652397694946346e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y2[1] (closed_form) 0.988651762851713 y2[1] (numeric) 0.9886517628517199 absolute error 6.8833827526759706e-15 relative error 6.962393646900727e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.15022546991173086 y1[1] (numeric) 0.15022546991168725 absolute error 4.360400929215302e-14 relative error 2.902571003290838e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y2[1] (closed_form) 0.9901045603371712 y2[1] (numeric) 0.9901045603371776 absolute error 6.439293542825908e-15 relative error 6.503650019178847e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.1403316058467829 y1[1] (numeric) 0.14033160584673815 absolute error 4.474198789239381e-14 relative error 3.1883044181254566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y2[1] (closed_form) 0.9914583481916802 y2[1] (numeric) 0.9914583481916864 absolute error 6.217248937900877e-15 relative error 6.270812030823595e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.13042370873819287 y1[1] (numeric) 0.13042370873814696 absolute error 4.590772206825022e-14 relative error 3.5198908628187745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y2[1] (closed_form) 0.9927129910375826 y2[1] (numeric) 0.9927129910375885 absolute error 5.88418203051333e-15 relative error 5.927374864272893e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.12050276936741511 y1[1] (numeric) 0.12050276936736806 absolute error 4.704570066849101e-14 relative error 3.904117798741025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y2[1] (closed_form) 0.9938683634116393 y2[1] (numeric) 0.9938683634116448 absolute error 5.440092820663267e-15 relative error 5.473655285685048e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.11056977982011924 y1[1] (numeric) 0.11056977982007105 absolute error 4.819755705653961e-14 relative error 4.359017186698747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y2[1] (closed_form) 0.9949243497775757 y2[1] (numeric) 0.9949243497775808 absolute error 5.10702591327572e-15 relative error 5.133079630041663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.10062573338698254 y1[1] (numeric) 0.10062573338693319 absolute error 4.934941344458821e-14 relative error 4.9042537911055166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y2[1] (closed_form) 0.9958808445376354 y2[1] (numeric) 0.9958808445376399 absolute error 4.551914400963142e-15 relative error 4.570741997830565e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.09067162446436164 y1[1] (numeric) 0.09067162446431115 absolute error 5.0487392044828994e-14 relative error 5.568157882146801e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y2[1] (closed_form) 0.9967377520431391 y2[1] (numeric) 0.9967377520431431 absolute error 3.9968028886505635e-15 relative error 4.0098841249444125e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.08070844845485374 y1[1] (numeric) 0.08070844845480209 absolute error 5.165312622068541e-14 relative error 6.399965209290185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y2[1] (closed_form) 0.9974949866040506 y2[1] (numeric) 0.9974949866040542 absolute error 3.6637359812630166e-15 relative error 3.6729367369916553e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.07073720166775717 y1[1] (numeric) 0.0707372016677044 absolute error 5.2763349245310565e-14 relative error 7.459066516814264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y2[1] (closed_form) 0.9981524724975448 y2[1] (numeric) 0.998152472497548 absolute error 3.219646771412954e-15 relative error 3.2256061675195356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.060758881219441306 y1[1] (numeric) 0.060758881219387384 absolute error 5.392214452726307e-14 relative error 8.874775743897231e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y2[1] (closed_form) 0.9987101439755801 y2[1] (numeric) 0.9987101439755828 absolute error 2.6645352591003757e-15 relative error 2.6679765647454237e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.050774484933635726 y1[1] (numeric) 0.05077448493358068 absolute error 5.504624533969604e-14 relative error 1.0841320283532897e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y2[1] (closed_form) 0.9991679452714737 y2[1] (numeric) 0.9991679452714759 absolute error 2.220446049250313e-15 relative error 2.222295120413434e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.04078501124164872 y1[1] (numeric) 0.04078501124159254 absolute error 5.617728504603292e-14 relative error 1.3774002589624388e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y2[1] (closed_form) 0.9995258306054773 y2[1] (numeric) 0.9995258306054788 absolute error 1.5543122344752192e-15 relative error 1.5550495913984254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) 0.030791459082524935 y1[1] (numeric) 0.030791459082467647 absolute error 5.728750807065808e-14 relative error 1.8604999495840855e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y2[1] (closed_form) 0.9997837641893558 y2[1] (numeric) 0.9997837641893567 absolute error 8.881784197001252e-16 relative error 8.883705172190686e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.02079482780315237 y1[1] (numeric) 0.020794827803093968 absolute error 5.840120054223519e-14 relative error 2.808448384140114e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y2[1] (closed_form) 0.9999417202299656 y2[1] (numeric) 0.9999417202299661 absolute error 4.440892098500626e-16 relative error 4.4411509277553834e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.01079611705832845 y1[1] (numeric) 0.010796117058268941 absolute error 5.950968884338437e-14 relative error 5.512138162440245e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y2[1] (closed_form) 0.9999996829318346 y2[1] (numeric) 0.9999996829318345 absolute error 1.1102230246251565e-16 relative error 1.1102233766416457e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) 0.0007963267107954358 y1[1] (numeric) 0.0007963267107348223 absolute error 6.061351507519186e-14 relative error 7.611639073948198e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y2[1] (closed_form) 0.9999576464987406 y2[1] (numeric) 0.9999576464987397 absolute error 8.881784197001252e-16 relative error 8.882160387592414e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y1[1] (closed_form) -0.009203543268745056 y1[1] (numeric) -0.009203543268806767 absolute error 6.171105293439894e-14 relative error 6.70514074117169e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y2[1] (closed_form) 0.9998156151342921 y2[1] (numeric) 0.9998156151342905 absolute error 1.5543122344752192e-15 relative error 1.5545988789807498e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.019202492901628267 y1[1] (numeric) -0.01920249290169107 absolute error 6.280392872426432e-14 relative error 3.270613302449855e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y2[1] (closed_form) 0.9995736030415071 y2[1] (numeric) 0.9995736030415046 absolute error 2.55351295663786e-15 relative error 2.5546022312594284e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.02919952230122334 y1[1] (numeric) -0.029199522301287223 absolute error 6.38829267263219e-14 relative error 2.1878072547661324e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y2[1] (closed_form) 0.9992316344213932 y2[1] (numeric) 0.99923163442139 absolute error 3.219646771412954e-15 relative error 3.22212253946233e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.03919363177292114 y1[1] (numeric) -0.03919363177298611 absolute error 6.496886362228338e-14 relative error 1.6576382612026868e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y2[1] (closed_form) 0.9987897434705273 y2[1] (numeric) 0.9987897434705235 absolute error 3.774758283725532e-15 relative error 3.7793322452523956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.04918382191410291 y1[1] (numeric) -0.04918382191416893 absolute error 6.602357549567728e-14 relative error 1.342383997953314e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 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 y1[1] (closed_form) -0.05916909371407965 y1[1] (numeric) -0.05916909371414673 absolute error 6.707828736907118e-14 relative error 1.1336710292236483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y2[1] (closed_form) 0.9976063813191784 y2[1] (numeric) 0.997606381319173 absolute error 5.440092820663267e-15 relative error 5.453145571773103e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.06914844865399239 y1[1] (numeric) -0.06914844865406052 absolute error 6.812606034856117e-14 relative error 9.852145879577562e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y2[1] (closed_form) 0.9968650284539244 y2[1] (numeric) 0.9968650284539179 absolute error 6.5503158452884236e-15 relative error 6.570915478344702e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.07912088880666325 y1[1] (numeric) -0.07912088880673242 absolute error 6.916689443414725e-14 relative error 8.741925865261803e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y2[1] (closed_form) 0.9960239899165432 y2[1] (numeric) 0.9960239899165358 absolute error 7.327471962526033e-15 relative error 7.356722364829789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.0890854169363873 y1[1] (numeric) -0.08908541693645751 absolute error 7.020772851973334e-14 relative error 7.880945157372519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y2[1] (closed_form) 0.9950833498101874 y2[1] (numeric) 0.9950833498101792 absolute error 8.215650382226158e-15 relative error 8.256243443117903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.09904103659865532 y1[1] (numeric) -0.09904103659872657 absolute error 7.124856260531942e-14 relative error 7.193842578005364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y2[1] (closed_form) 0.9940432021980841 y2[1] (numeric) 0.994043202198075 absolute error 9.103828801926284e-15 relative error 9.158383440272401e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y1[1] (closed_form) -0.1089867522397974 y1[1] (numeric) -0.10898675223986967 absolute error 7.227551890309769e-14 relative error 6.631587547821771e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y2[1] (closed_form) 0.9929036510941275 y2[1] (numeric) 0.9929036510941175 absolute error 9.992007221626409e-15 relative error 1.0063420766572611e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.11892156929653748 y1[1] (numeric) -0.11892156929661074 absolute error 7.326084183745252e-14 relative error 6.160433491654704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y2[1] (closed_form) 0.9916648104524785 y2[1] (numeric) 0.9916648104524675 absolute error 1.099120794378905e-14 relative error 1.1083591782160712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.1288444942954489 y1[1] (numeric) -0.12884449429552317 absolute error 7.427392034742297e-14 relative error 5.764617320559154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y2[1] (closed_form) 0.9903268041561688 y2[1] (numeric) 0.9903268041561569 absolute error 1.1879386363489175e-14 relative error 1.1995420414386628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.1387545349523008 y1[1] (numeric) -0.13875453495237608 absolute error 7.527312106958561e-14 relative error 5.424912497127536e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y2[1] (closed_form) 0.9888897660047131 y2[1] (numeric) 0.9888897660047004 absolute error 1.27675647831893e-14 relative error 1.291100911557866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.1486507002712859 y1[1] (numeric) -0.14865070027136212 absolute error 7.6216810640517e-14 relative error 5.127241950520391e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y2[1] (closed_form) 0.9873538397007291 y2[1] (numeric) 0.9873538397007152 absolute error 1.3877787807814457e-14 relative error 1.4055536373890914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.15853200064411904 y1[1] (numeric) -0.15853200064419623 absolute error 7.718825578706401e-14 relative error 4.868938477622588e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y2[1] (closed_form) 0.9857191788355671 y2[1] (numeric) 0.9857191788355524 absolute error 1.4765966227514582e-14 relative error 1.4979891377336962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.16839744794899733 y1[1] (numeric) -0.1683974479490755 absolute error 7.815970093361102e-14 relative error 4.641382745733968e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y2[1] (closed_form) 0.9839859468739515 y2[1] (numeric) 0.9839859468739356 absolute error 1.587618925213974e-14 relative error 1.6134569098854698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.17824605564941146 y1[1] (numeric) -0.17824605564949056 absolute error 7.91033905045424e-14 relative error 4.437876070600365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y2[1] (closed_form) 0.9821543171376341 y2[1] (numeric) 0.9821543171376171 absolute error 1.6986412276764895e-14 relative error 1.7295054331451364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.18807683889279855 y1[1] (numeric) -0.18807683889287855 absolute error 7.999156892424253e-14 relative error 4.2531323577719595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y2[1] (closed_form) 0.9802244727880621 y2[1] (numeric) 0.980224472788044 absolute error 1.8096635301390052e-14 relative error 1.846172565954981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.19788881460902652 y1[1] (numeric) -0.19788881460910743 absolute error 8.090750291955828e-14 relative error 4.088533405963803e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y2[1] (closed_form) 0.9781966068080624 y2[1] (numeric) 0.9781966068080431 absolute error 1.9317880628477724e-14 relative error 1.974846415743926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2076810016087004 y1[1] (numeric) -0.20768100160878217 absolute error 8.176792576364278e-14 relative error 3.9371885309810286e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y2[1] (closed_form) 0.976070921982543 y2[1] (numeric) 0.9760709219825224 absolute error 2.0539125955565396e-14 relative error 2.104265734486529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.21745242068128035 y1[1] (numeric) -0.217452420681363 absolute error 8.26561041833429e-14 relative error 3.801112166255984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y2[1] (closed_form) 0.973847630878215 y2[1] (numeric) 0.9738476308781934 absolute error 2.1649348980190553e-14 relative error 2.2230735377635194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2272020946930019 y1[1] (numeric) -0.22720209469308544 absolute error 8.354428260304303e-14 relative error 3.6770912132623175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y2[1] (closed_form) 0.9715269558223363 y2[1] (numeric) 0.9715269558223134 absolute error 2.2870594307278225e-14 relative error 2.3540874671788917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2369290486845886 y1[1] (numeric) -0.23692904868467302 absolute error 8.440470544712753e-14 relative error 3.5624464756742914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y2[1] (closed_form) 0.9691091288804785 y2[1] (numeric) 0.9691091288804543 absolute error 2.4202861936828413e-14 relative error 2.4974341088694237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.24663230996874708 y1[1] (numeric) -0.24663230996883231 absolute error 8.523737271559639e-14 relative error 3.4560505363793396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y2[1] (closed_form) 0.9665943918333209 y2[1] (numeric) 0.9665943918332954 absolute error 2.5424107263916085e-14 relative error 2.630276719865369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2563109082274349 y1[1] (numeric) -0.25631090822752095 absolute error 8.604228440844963e-14 relative error 3.356949768680968e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y2[1] (closed_form) 0.9639829961524726 y2[1] (numeric) 0.9639829961524461 absolute error 2.653433028854124e-14 relative error 2.75257244105417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.26596387560889173 y1[1] (numeric) -0.2659638756089786 absolute error 8.68749516769185e-14 relative error 3.26641922622119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y2[1] (closed_form) 0.9612752029753255 y2[1] (numeric) 0.9612752029752978 absolute error 2.7755575615628914e-14 relative error 2.887370394005821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2755902468244235 y1[1] (numeric) -0.2755902468245113 absolute error 8.776313009661862e-14 relative error 3.184551380460567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y2[1] (closed_form) 0.958471283078941 y2[1] (numeric) 0.9584712830789118 absolute error 2.919886554764162e-14 relative error 3.046399622307386e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.2851890592449306 y1[1] (numeric) -0.28518905924501914 absolute error 8.854028621385623e-14 relative error 3.104617212465176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y2[1] (closed_form) 0.955571516852972 y2[1] (numeric) 0.9555715168529415 absolute error 3.0531133177191805e-14 relative error 3.1950652189530933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.29475935299717 y1[1] (numeric) -0.29475935299725925 absolute error 8.926193117986259e-14 relative error 3.0282985178325996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y2[1] (closed_form) 0.9525761942716247 y2[1] (numeric) 0.9525761942715928 absolute error 3.186340080674199e-14 relative error 3.3449713522502984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.3043001710597416 y1[1] (numeric) -0.3043001710598316 absolute error 8.998357614586894e-14 relative error 2.957066236029258e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y2[1] (closed_form) 0.949485614864661 y2[1] (numeric) 0.9494856148646277 absolute error 3.3306690738754696e-14 relative error 3.5078668088617865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.31381055935878993 y1[1] (numeric) -0.3138105593588807 absolute error 9.076073226310655e-14 relative error 2.892214094024058e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y2[1] (closed_form) 0.9463000876874463 y2[1] (numeric) 0.9463000876874116 absolute error 3.47499806707674e-14 relative error 3.672194594812822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.32328956686341026 y1[1] (numeric) -0.3232895668635018 absolute error 9.153788838034416e-14 relative error 2.8314519787463133e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y2[1] (closed_form) 0.9430199312900437 y2[1] (numeric) 0.9430199312900076 absolute error 3.608224830031759e-14 relative error 3.826244504817344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.33273624568075133 y1[1] (numeric) -0.3327362456808436 absolute error 9.225953334635051e-14 relative error 2.7727527296461194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y2[1] (closed_form) 0.9396454736853593 y2[1] (numeric) 0.9396454736853219 absolute error 3.7414515929867775e-14 relative error 3.981769398954827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.34214965115080365 y1[1] (numeric) -0.3421496511508965 absolute error 9.287015600989434e-14 relative error 2.7143139178289416e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y2[1] (closed_form) 0.9361770523163419 y2[1] (numeric) 0.936177052316303 absolute error 3.885780586188048e-14 relative error 4.150689847154052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.35152884194086464 y1[1] (numeric) -0.3515288419409582 absolute error 9.353628982466944e-14 relative error 2.6608425444761778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y2[1] (closed_form) 0.9326150140222376 y2[1] (numeric) 0.9326150140221975 absolute error 4.007905118896815e-14 relative error 4.297491525051997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.3608728801396713 y1[1] (numeric) -0.3608728801397655 absolute error 9.420242363944453e-14 relative error 2.6104046278840538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y2[1] (closed_form) 0.9289597150039077 y2[1] (numeric) 0.9289597150038662 absolute error 4.1522341120980855e-14 relative error 4.469767682100853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.37018083135119034 y1[1] (numeric) -0.37018083135128527 absolute error 9.492406860545088e-14 relative error 2.564262127214158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y2[1] (closed_form) 0.9252115207882081 y2[1] (numeric) 0.925211520788165 absolute error 4.3076653355456074e-14 relative error 4.655870834677688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.3794517647880573 y1[1] (numeric) -0.37945176478815273 absolute error 9.54236689665322e-14 relative error 2.5147773135231318e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y2[1] (closed_form) 0.9213708061914366 y2[1] (numeric) 0.9213708061913921 absolute error 4.451994328746878e-14 relative error 4.831924670100596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.38868475336465425 y1[1] (numeric) -0.3886847533647503 absolute error 9.603429163007604e-14 relative error 2.4707501593194494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y2[1] (closed_form) 0.9174379552818526 y2[1] (numeric) 0.9174379552818065 absolute error 4.6074255521943996e-14 relative error 5.02205683301921e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.39787887378981757 y1[1] (numeric) -0.3978788737899142 absolute error 9.664491429361988e-14 relative error 2.4290034143575378e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y2[1] (closed_form) 0.9134133613412693 y2[1] (numeric) 0.9134133613412218 absolute error 4.75175454539567e-14 relative error 5.202195135856263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.40703320665916654 y1[1] (numeric) -0.4070332066592637 absolute error 9.71445146547012e-14 relative error 2.386648388028109e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y2[1] (closed_form) 0.9092974268257272 y2[1] (numeric) 0.909297426825678 absolute error 4.9182879990894435e-14 relative error 5.408888064556313e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.4161468365470429 y1[1] (numeric) -0.4161468365471406 absolute error 9.769962616701378e-14 relative error 2.3477200254042884e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y2[1] (closed_form) 0.9050905633252478 y2[1] (numeric) 0.9050905633251973 absolute error 5.051514762044462e-14 relative error 5.581225754343857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.4252188520980525 y1[1] (numeric) -0.4252188520981505 absolute error 9.803269307440132e-14 relative error 2.3054644118129472e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y2[1] (closed_form) 0.9007931915226757 y2[1] (numeric) 0.9007931915226237 absolute error 5.1958437552457326e-14 relative error 5.768076184571093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.43424834611820007 y1[1] (numeric) -0.4342483461182985 absolute error 9.842127113302013e-14 relative error 2.2664742885682835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y2[1] (closed_form) 0.8964057411516098 y2[1] (numeric) 0.8964057411515561 absolute error 5.362377208939506e-14 relative error 5.982087087093481e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.4432344156656082 y1[1] (numeric) -0.4432344156657071 absolute error 9.892087149410145e-14 relative error 2.2317958172438233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y2[1] (closed_form) 0.891928650953431 y2[1] (numeric) 0.8919286509533757 absolute error 5.5289106626332796e-14 relative error 6.198826169249218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.4521761621408106 y1[1] (numeric) -0.45217616214090994 absolute error 9.936496070395151e-14 relative error 2.1974833930544224e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y2[1] (closed_form) 0.8873623686334283 y2[1] (numeric) 0.8873623686333714 absolute error 5.695444116327053e-14 relative error 6.418397170817885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.46107269137661105 y1[1] (numeric) -0.46107269137671086 absolute error 9.980904991380157e-14 relative error 2.1647139763538077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y2[1] (closed_form) 0.8827073508160285 y2[1] (numeric) 0.8827073508159697 absolute error 5.873079800267078e-14 relative error 6.6534846399972145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.4699231137274999 y1[1] (numeric) -0.46992311372760004 absolute error 1.0014211682118912e-13 relative error 2.131031947478535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y2[1] (closed_form) 0.8779640629991341 y2[1] (numeric) 0.8779640629990737 absolute error 6.039613253960852e-14 relative error 6.879112151048041e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.47872654415861726 y1[1] (numeric) -0.47872654415871785 absolute error 1.0058620603103918e-13 relative error 2.1011203004801796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y2[1] (closed_form) 0.8731329795075741 y2[1] (numeric) 0.873132979507512 absolute error 6.206146707654625e-14 relative error 7.107905500436763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.48748210233425626 y1[1] (numeric) -0.4874821023343572 absolute error 1.0091927293842673e-13 relative error 2.070214936203514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y2[1] (closed_form) 0.8682145834456717 y2[1] (numeric) 0.8682145834456078 absolute error 6.394884621840902e-14 relative error 7.36555771323445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.49618891270589555 y1[1] (numeric) -0.49618891270599674 absolute error 1.0119682869458302e-13 relative error 2.039481860703427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y2[1] (closed_form) 0.8632093666489344 y2[1] (numeric) 0.8632093666488689 absolute error 6.550315845288424e-14 relative error 7.588328044582519e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5048461045997537 y1[1] (numeric) -0.5048461045998551 absolute error 1.0147438445073931e-13 relative error 2.0100062875832045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y2[1] (closed_form) 0.8581178296348712 y2[1] (numeric) 0.8581178296348038 absolute error 6.7390537594747e-14 relative error 7.853296513303034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5134528123038554 y1[1] (numeric) -0.5134528123039571 absolute error 1.0169642905566434e-13 relative error 1.9806382713019706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y2[1] (closed_form) 0.8529404815529402 y2[1] (numeric) 0.8529404815528708 absolute error 6.938893903907228e-14 relative error 8.135261549872335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5220081751546028 y1[1] (numeric) -0.522008175154705 absolute error 1.021405182655144e-13 relative error 1.9566842652466793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y2[1] (closed_form) 0.8476778401336353 y2[1] (numeric) 0.847677840133564 absolute error 7.138734048339757e-14 relative error 8.421517834197888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5305113376228401 y1[1] (numeric) -0.5305113376229424 absolute error 1.0236256287043943e-13 relative error 1.929507545100058e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y2[1] (closed_form) 0.842330431636713 y2[1] (numeric) 0.8423304316366397 absolute error 7.327471962526033e-14 relative error 8.699046938489674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5389614493994064 y1[1] (numeric) -0.538961449399509 absolute error 1.0258460747536446e-13 relative error 1.9033756048726675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y2[1] (closed_form) 0.8368987907985665 y2[1] (numeric) 0.8368987907984915 absolute error 7.505107646466058e-14 relative error 8.967760174805253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5473576654801658 y1[1] (numeric) -0.5473576654802687 absolute error 1.028066520802895e-13 relative error 1.8782353580469736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y2[1] (closed_form) 0.8313834607787537 y2[1] (numeric) 0.8313834607786768 absolute error 7.693845560652335e-14 relative error 9.254268245179594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5556991462505071 y1[1] (numeric) -0.5556991462506102 absolute error 1.0313971898767704e-13 relative error 1.8560352248801557e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y2[1] (closed_form) 0.8257849931056802 y2[1] (numeric) 0.8257849931056014 absolute error 7.882583474838611e-14 relative error 9.545563967193376e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5639850575693045 y1[1] (numeric) -0.5639850575694078 absolute error 1.0325074129013956e-13 relative error 1.830735405209769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y2[1] (closed_form) 0.8201039476214481 y2[1] (numeric) 0.8201039476213672 absolute error 8.093525849517391e-14 relative error 9.868902439734728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y1[1] (closed_form) -0.5722145708523309 y1[1] (numeric) -0.5722145708524342 absolute error 1.0336176359260207e-13 relative error 1.8063462354452387e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y2[1] (closed_form) 0.8143408924258715 y2[1] (numeric) 0.8143408924257888 absolute error 8.271161533457416e-14 relative error 1.0156878538689287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5803868631551159 y1[1] (numeric) -0.5803868631552194 absolute error 1.0347278589506459e-13 relative error 1.782824396344239e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y2[1] (closed_form) 0.8084964038196675 y2[1] (numeric) 0.8084964038195825 absolute error 8.493206138382448e-14 relative error 1.0504939908522871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5885011172552396 y1[1] (numeric) -0.588501117255343 absolute error 1.0347278589506459e-13 relative error 1.7582428114607517e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y2[1] (closed_form) 0.8025710662468262 y2[1] (numeric) 0.8025710662467395 absolute error 8.670841822322473e-14 relative error 1.0803830572750556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5965565217340537 y1[1] (numeric) -0.5965565217341572 absolute error 1.0347278589506459e-13 relative error 1.7345009588411305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y2[1] (closed_form) 0.7965654722361674 y2[1] (numeric) 0.7965654722360787 absolute error 8.870681966755001e-14 relative error 1.1136161779461366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6045522710578232 y1[1] (numeric) -0.6045522710579269 absolute error 1.0369483049998962e-13 relative error 1.7152334953361147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y2[1] (closed_form) 0.7904802223420871 y2[1] (numeric) 0.7904802223419964 absolute error 9.070522111187529e-14 relative error 1.1474698360336942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6124875656582788 y1[1] (numeric) -0.6124875656583822 absolute error 1.0347278589506459e-13 relative error 1.6893859026159316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y2[1] (closed_form) 0.7843159250845042 y2[1] (numeric) 0.7843159250844115 absolute error 9.270362255620057e-14 relative error 1.1819678727830554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6203616120125732 y1[1] (numeric) -0.6203616120126767 absolute error 1.0347278589506459e-13 relative error 1.6679430817677262e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y2[1] (closed_form) 0.7780731968880071 y2[1] (numeric) 0.7780731968879124 absolute error 9.470202400052585e-14 relative error 1.217135153598626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6281736227226327 y1[1] (numeric) -0.6281736227227361 absolute error 1.0347278589506459e-13 relative error 1.6472004259999396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y2[1] (closed_form) 0.7717526620202135 y2[1] (numeric) 0.7717526620201167 absolute error 9.681144774731365e-14 relative error 1.25443620102185e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6359228165938962 y1[1] (numeric) -0.6359228165939993 absolute error 1.0313971898767704e-13 relative error 1.6218905234460653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y2[1] (closed_form) 0.7653549525293429 y2[1] (numeric) 0.765354952529244 absolute error 9.892087149410145e-14 relative error 1.2924835877417141e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6436084187134341 y1[1] (numeric) -0.6436084187135371 absolute error 1.0302869668521453e-13 relative error 1.6007978405746728e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y2[1] (closed_form) 0.7588807081810132 y2[1] (numeric) 0.758880708180912 absolute error 1.0114131754335176e-13 relative error 1.3327696494720601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6512296605274394 y1[1] (numeric) -0.651229660527542 absolute error 1.0269562977782698e-13 relative error 1.576949515700075e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y2[1] (closed_form) 0.7523305763942637 y2[1] (numeric) 0.7523305763941606 absolute error 1.0313971898767704e-13 relative error 1.3709361579054844e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6587857799180815 y1[1] (numeric) -0.6587857799181842 absolute error 1.0269562977782698e-13 relative error 1.5588622722032183e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y2[1] (closed_form) 0.745705212176815 y2[1] (numeric) 0.7457052121767097 absolute error 1.0524914273446484e-13 relative error 1.4114041449063803e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6662760212797181 y1[1] (numeric) -0.6662760212798206 absolute error 1.0247358517290195e-13 relative error 1.5380049994307265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y2[1] (closed_form) 0.7390052780595675 y2[1] (numeric) 0.7390052780594601 absolute error 1.0735856648125264e-13 relative error 1.4527442451175431e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6736996355944549 y1[1] (numeric) -0.6736996355945571 absolute error 1.0225154056797692e-13 relative error 1.5177615537486946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y2[1] (closed_form) 0.7322314440303498 y2[1] (numeric) 0.7322314440302401 absolute error 1.0969003483296547e-13 relative error 1.4980240978072363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6810558805070468 y1[1] (numeric) -0.6810558805071487 absolute error 1.0191847366058937e-13 relative error 1.4964774048307308e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y2[1] (closed_form) 0.7253843874669198 y2[1] (numeric) 0.7253843874668082 absolute error 1.1157741397482823e-13 relative error 1.5381832846508098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6883440203991327 y1[1] (numeric) -0.6883440203992341 absolute error 1.0147438445073931e-13 relative error 1.4741812443129806e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y2[1] (closed_form) 0.7184647930692282 y2[1] (numeric) 0.7184647930691144 absolute error 1.1379786002407855e-13 relative error 1.583903082264373e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6955633264627967 y1[1] (numeric) -0.695563326462898 absolute error 1.0125233984581428e-13 relative error 1.455688303187588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y2[1] (closed_form) 0.7114733527909483 y2[1] (numeric) 0.7114733527908322 absolute error 1.1601830607332886e-13 relative error 1.6306767585632747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7027130767734487 y1[1] (numeric) -0.7027130767735498 absolute error 1.0103029524088925e-13 relative error 1.4377175917200259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y2[1] (closed_form) 0.7044107657702818 y2[1] (numeric) 0.7044107657701635 absolute error 1.1834977442504169e-13 relative error 1.680124441250195e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7097925563620157 y1[1] (numeric) -0.7097925563621164 absolute error 1.006972283335017e-13 relative error 1.4186853247604793e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y2[1] (closed_form) 0.6972777382600454 y2[1] (numeric) 0.6972777382599249 absolute error 1.2045919817182948e-13 relative error 1.727564090493091e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7168010572864383 y1[1] (numeric) -0.7168010572865385 absolute error 1.0025313912365164e-13 relative error 1.3986187395310976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y2[1] (closed_form) 0.6900749835570457 y2[1] (numeric) 0.6900749835569231 absolute error 1.2256862191861728e-13 relative error 1.7761638204420583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7237378787024644 y1[1] (numeric) -0.7237378787025643 absolute error 9.992007221626409e-14 relative error 1.380611339500474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y2[1] (closed_form) 0.6828032219307509 y2[1] (numeric) 0.6828032219306261 absolute error 1.247890679678676e-13 relative error 1.8275992842418595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7306023269337333 y1[1] (numeric) -0.7306023269338325 absolute error 9.9253938401489e-14 relative error 1.3585220679223414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y2[1] (closed_form) 0.675463180551264 y2[1] (numeric) 0.675463180551137 absolute error 1.270095140171179e-13 relative error 1.880332158348912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.737393715541142 y1[1] (numeric) -0.7373937155412408 absolute error 9.880984919163893e-14 relative error 1.3399876769918845e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y2[1] (closed_form) 0.6680555934166059 y2[1] (numeric) 0.6680555934164766 absolute error 1.2934098236883074e-13 relative error 1.9360811232392817e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7441113653914893 y1[1] (numeric) -0.7441113653915876 absolute error 9.836575998178887e-14 relative error 1.321922558326159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y2[1] (closed_form) 0.6605812012793174 y2[1] (numeric) 0.6605812012791858 absolute error 1.3156142841808105e-13 relative error 1.9916011561227e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7507546047253882 y1[1] (numeric) -0.7507546047254859 absolute error 9.769962616701378e-14 relative error 1.3013523400599113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y2[1] (closed_form) 0.6530407515723835 y2[1] (numeric) 0.6530407515722495 absolute error 1.340039190722564e-13 relative error 2.051999339238836e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7573227692244414 y1[1] (numeric) -0.7573227692245385 absolute error 9.703349235223868e-14 relative error 1.2812699722683457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y2[1] (closed_form) 0.6454349983344911 y2[1] (numeric) 0.6454349983343548 absolute error 1.3633538742396922e-13 relative error 2.1123023662456338e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7638152020776723 y1[1] (numeric) -0.7638152020777687 absolute error 9.636735853746359e-14 relative error 1.2616580329290697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y2[1] (closed_form) 0.6377647021346261 y2[1] (numeric) 0.6377647021344873 absolute error 1.3877787807814457e-13 relative error 2.1760043729866045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.770231254047206 y1[1] (numeric) -0.7702312540473016 absolute error 9.559020242022598e-14 relative error 1.2410584732564933e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y2[1] (closed_form) 0.6300306299960163 y2[1] (numeric) 0.6300306299958752 absolute error 1.411093464298574e-13 relative error 2.239722002575488e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7765702835331924 y1[1] (numeric) -0.776570283533287 absolute error 9.470202400052585e-14 relative error 1.2194907017257515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y2[1] (closed_form) 0.6222335553194308 y2[1] (numeric) 0.6222335553192873 absolute error 1.4355183708403274e-13 relative error 2.307041075763565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7828316566379651 y1[1] (numeric) -0.7828316566380591 absolute error 9.403589018575076e-14 relative error 1.2012274847137332e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y2[1] (closed_form) 0.6143742578058397 y2[1] (numeric) 0.6143742578056937 absolute error 1.4599432773820809e-13 relative error 2.376309324215641e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7890147472294315 y1[1] (numeric) -0.7890147472295247 absolute error 9.314771176605063e-14 relative error 1.1805572974793199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y2[1] (closed_form) 0.6064535233784447 y2[1] (numeric) 0.6064535233782964 absolute error 1.4832579608992091e-13 relative error 2.4457899966286663e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7951189370036852 y1[1] (numeric) -0.7951189370037776 absolute error 9.237055564881302e-14 relative error 1.1617199811250994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y2[1] (closed_form) 0.5984721441040881 y2[1] (numeric) 0.5984721441039377 absolute error 1.504352198367087e-13 relative error 2.5136545003595782e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8011436155468353 y1[1] (numeric) -0.801143615546927 absolute error 9.170442183403793e-14 relative error 1.14466894642159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y2[1] (closed_form) 0.5904309181140464 y2[1] (numeric) 0.5904309181138935 absolute error 1.5287771049088406e-13 relative error 2.5892565209695628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8070881803960483 y1[1] (numeric) -0.8070881803961392 absolute error 9.08162434143378e-14 relative error 1.1252332225925193e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y2[1] (closed_form) 0.5823306495242173 y2[1] (numeric) 0.5823306495240618 absolute error 1.5554224574998443e-13 relative error 2.6710296955358162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.812952037099793 y1[1] (numeric) -0.8129520370998828 absolute error 8.981704269217516e-14 relative error 1.1048258518743311e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y2[1] (closed_form) 0.5741721483547098 y2[1] (numeric) 0.5741721483545517 absolute error 1.580957587066223e-13 relative error 2.7534557215923076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8187345992772854 y1[1] (numeric) -0.8187345992773744 absolute error 8.892886427247504e-14 relative error 1.086174498439109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y2[1] (closed_form) 0.5659562304488419 y2[1] (numeric) 0.5659562304486814 absolute error 1.6053824936079764e-13 relative error 2.8365841866159836e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8244352886771268 y1[1] (numeric) -0.8244352886772146 absolute error 8.781864124784988e-14 relative error 1.0651975049340987e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y2[1] (closed_form) 0.5576837173915579 y2[1] (numeric) 0.5576837173913948 absolute error 1.630917623174355e-13 relative error 2.924449060127864e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8300535352351275 y1[1] (numeric) -0.8300535352352144 absolute error 8.693046282814976e-14 relative error 1.047287423497632e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y2[1] (closed_form) 0.5493554364272695 y2[1] (numeric) 0.549355436427104 absolute error 1.6542323066914832e-13 relative error 3.011224058234092e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8355887771313137 y1[1] (numeric) -0.8355887771313998 absolute error 8.604228440844963e-14 relative error 1.0297204410026199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y2[1] (closed_form) 0.5409722203771331 y2[1] (numeric) 0.5409722203769651 absolute error 1.6797674362578618e-13 relative error 3.1050900082943805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8410404608461085 y1[1] (numeric) -0.8410404608461935 absolute error 8.504308368628699e-14 relative error 1.0111651893742597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y2[1] (closed_form) 0.5325349075557677 y2[1] (numeric) 0.5325349075555972 absolute error 1.7053025658242404e-13 relative error 3.202236213305245e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8464080412156834 y1[1] (numeric) -0.8464080412157673 absolute error 8.393286066166183e-14 relative error 9.916359081502854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y2[1] (closed_form) 0.5240443416874244 y2[1] (numeric) 0.5240443416872514 absolute error 1.729727472365994e-13 relative error 3.300727314021302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8516909814864744 y1[1] (numeric) -0.8516909814865573 absolute error 8.293365993949919e-14 relative error 9.737529425843317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y2[1] (closed_form) 0.5155013718216145 y2[1] (numeric) 0.5155013718214391 absolute error 1.7541523789077473e-13 relative error 3.4028083624862965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8568887533688568 y1[1] (numeric) -0.8568887533689387 absolute error 8.182343691487404e-14 relative error 9.54889845305885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y2[1] (closed_form) 0.5069068522482054 y2[1] (numeric) 0.5069068522480276 absolute error 1.7785772854495008e-13 relative error 3.508686610885713e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8620008370899741 y1[1] (numeric) -0.8620008370900547 absolute error 8.060219158778636e-14 relative error 9.350593191984714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y2[1] (closed_form) 0.4982616424119926 y2[1] (numeric) 0.49826164241181226 absolute error 1.8035573035035668e-13 relative error 3.619699270393119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8670267214457139 y1[1] (numeric) -0.8670267214457935 absolute error 7.960299086562372e-14 relative error 9.181146197304117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y2[1] (closed_form) 0.4895666068267552 y2[1] (numeric) 0.48956660682657227 absolute error 1.8290924330699454e-13 relative error 3.736146231307834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8719659038518291 y1[1] (numeric) -0.8719659038519074 absolute error 7.827072323607354e-14 relative error 8.97635135620783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y2[1] (closed_form) 0.48082261498880596 y2[1] (numeric) 0.48082261498862056 absolute error 1.8540724511240114e-13 relative error 3.856042526550412e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.876817890394195 y1[1] (numeric) -0.8768178903942722 absolute error 7.716050021144838e-14 relative error 8.800059973315438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y2[1] (closed_form) 0.472030541290042 y2[1] (numeric) 0.47203054128985417 absolute error 1.8784973576657649e-13 relative error 3.979609778070506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8815821958782005 y1[1] (numeric) -0.8815821958782765 absolute error 7.593925488436071e-14 relative error 8.613973290228798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y2[1] (closed_form) 0.46319126493050655 y2[1] (numeric) 0.4631912649303162 absolute error 1.903477375719831e-13 relative error 4.109484612162134e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8862583438772678 y1[1] (numeric) -0.8862583438773424 absolute error 7.460698725481052e-14 relative error 8.418198572711251e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y2[1] (closed_form) 0.45430566983046944 y2[1] (numeric) 0.4543056698302766 absolute error 1.928457393773897e-13 relative error 4.244845534271074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8908458667804934 y1[1] (numeric) -0.8908458667805668 absolute error 7.338574192772285e-14 relative error 8.23775971402753e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y2[1] (closed_form) 0.4453746445420361 y2[1] (numeric) 0.44537464454184084 absolute error 1.9528823003156504e-13 relative error 4.384807990862915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.89534430583941 y1[1] (numeric) -0.895344305839482 absolute error 7.194245199571014e-14 relative error 8.035171668206691e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y2[1] (closed_form) 0.43639908216029294 y2[1] (numeric) 0.436399082160095 absolute error 1.979527652906654e-13 relative error 4.536049074868488e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8997532112138605 y1[1] (numeric) -0.8997532112139309 absolute error 7.038813976123492e-14 relative error 7.823049574479875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y2[1] (closed_form) 0.4273798802339984 y2[1] (numeric) 0.4273798802337978 absolute error 2.0061730054976579e-13 relative error 4.6941213152084766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9040721420169815 y1[1] (numeric) -0.9040721420170504 absolute error 6.894484982922222e-14 relative error 7.626034098938888e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y2[1] (closed_form) 0.41831794067582917 y2[1] (numeric) 0.41831794067562605 absolute error 2.031153023551724e-13 relative error 4.855524533014813e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9083006663592917 y1[1] (numeric) -0.9083006663593591 absolute error 6.7390537594747e-14 relative error 7.41940858249791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y2[1] (closed_form) 0.40921416967218954 y2[1] (numeric) 0.4092141696719839 absolute error 2.0566881531181025e-13 relative error 5.025945594126567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9124383613918808 y1[1] (numeric) -0.9124383613919467 absolute error 6.583622536027178e-14 relative error 7.215416201905605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y2[1] (closed_form) 0.4000694775925933 y2[1] (numeric) 0.4000694775923851 absolute error 2.082223282684481e-13 relative error 5.2046541896027667e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9164848133486935 y1[1] (numeric) -0.9164848133487578 absolute error 6.428191312579656e-14 relative error 7.013963809276928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y2[1] (closed_form) 0.390884778898628 y2[1] (numeric) 0.39088477889841716 absolute error 2.1083135237631723e-13 relative error 5.39369562995939e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.920439617587906 y1[1] (numeric) -0.9204396175879687 absolute error 6.261657858885883e-14 relative error 6.802899113898546e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y2[1] (closed_form) 0.38166099205250903 y2[1] (numeric) 0.3816609920522956 absolute error 2.1344037648418634e-13 relative error 5.592407422522791e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9243023786323903 y1[1] (numeric) -0.9243023786324512 absolute error 6.09512440519211e-14 relative error 6.594297002903459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y2[1] (closed_form) 0.3723990394252346 y2[1] (numeric) 0.3723990394250185 absolute error 2.1610491174328672e-13 relative error 5.803046970175481e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9280727102092609 y1[1] (numeric) -0.9280727102093198 absolute error 5.895284260759581e-14 relative error 6.3521793022341095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y2[1] (closed_form) 0.3630998472043491 y2[1] (numeric) 0.36309984720413047 absolute error 2.1865842469992458e-13 relative error 6.021991647296555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9317502352885018 y1[1] (numeric) -0.9317502352885589 absolute error 5.717648576819556e-14 relative error 6.136460566655158e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y2[1] (closed_form) 0.35376434530132544 y2[1] (numeric) 0.3537643453011042 absolute error 2.212674488077937e-13 relative error 6.254656574260613e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9353345861206698 y1[1] (numeric) -0.9353345861207251 absolute error 5.5289106626332796e-14 relative error 5.911158150972064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y2[1] (closed_form) 0.3443934672585743 y2[1] (numeric) 0.3443934672583504 absolute error 2.2387647291566282e-13 relative error 6.500601614129167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9388254042736687 y1[1] (numeric) -0.9388254042737221 absolute error 5.340172748447003e-14 relative error 5.688142570639617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y2[1] (closed_form) 0.33498815015609085 y2[1] (numeric) 0.33498815015586436 absolute error 2.2648549702353193e-13 relative error 6.761000259800202e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.942222340668592 y1[1] (numeric) -0.9422223406686435 absolute error 5.1514348342607263e-14 relative error 5.467324018877877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y2[1] (closed_form) 0.3255493345177477 y2[1] (numeric) 0.3255493345175186 absolute error 2.2909452113140105e-13 relative error 7.037167545458818e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9455250556146313 y1[1] (numeric) -0.9455250556146809 absolute error 4.96269692007445e-14 relative error 5.248614926283986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y2[1] (closed_form) 0.316077964217243 y2[1] (numeric) 0.31607796421701134 absolute error 2.316480340880389e-13 relative error 7.328825806054145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9487332188430441 y1[1] (numeric) -0.9487332188430916 absolute error 4.75175454539567e-14 relative error 5.008525527534825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y2[1] (closed_form) 0.306574986383714 y2[1] (numeric) 0.30657498638347974 absolute error 2.3425705819590803e-13 relative error 7.64110147925468e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9518465095401808 y1[1] (numeric) -0.9518465095402265 absolute error 4.574118861455645e-14 relative error 4.805521494915515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y2[1] (closed_form) 0.2970413513070249 y2[1] (numeric) 0.29704135130678816 absolute error 2.3675506000131463e-13 relative error 7.970441117358177e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9548646163795664 y1[1] (numeric) -0.95486461637961 absolute error 4.3520742565306136e-14 relative error 4.5577919444033824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y2[1] (closed_form) 0.2874780123427388 y2[1] (numeric) 0.28747801234249953 absolute error 2.3925306180672123e-13 relative error 8.322482121571005e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.957787237553032 y1[1] (numeric) -0.9577872375530733 absolute error 4.1300296516055823e-14 relative error 4.312053334681133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y2[1] (closed_form) 0.2778859258167826 y2[1] (numeric) 0.27788592581654076 absolute error 2.4186208591459035e-13 relative error 8.703646476650145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9606140808008956 y1[1] (numeric) -0.9606140808009346 absolute error 3.8968828164342995e-14 relative error 4.056658021486985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y2[1] (closed_form) 0.2682660509298156 y2[1] (numeric) 0.26826605092957106 absolute error 2.4452662117369073e-13 relative error 9.115078867644881e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9633448634411882 y1[1] (numeric) -0.9633448634412252 absolute error 3.697042672001771e-14 relative error 3.8377146256798145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y2[1] (closed_form) 0.25861934966130984 y2[1] (numeric) 0.25861934966106276 absolute error 2.470801341303286e-13 relative error 9.553814687644482e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9659793123979215 y1[1] (numeric) -0.9659793123979562 absolute error 3.47499806707674e-14 relative error 3.597383528277119e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y2[1] (closed_form) 0.24894678667335343 y2[1] (numeric) 0.2489467866731037 absolute error 2.4974466938942896e-13 relative error 1.0032050331990123e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.968517164228395 y1[1] (numeric) -0.9685171642284276 absolute error 3.26405569239796e-14 relative error 3.3701578174904014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y2[1] (closed_form) 0.23924932921418465 y2[1] (numeric) 0.2392493292139323 absolute error 2.523536934972981e-13 relative error 1.0547728360457886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9709581651495407 y1[1] (numeric) -0.9709581651495709 absolute error 3.019806626980426e-14 relative error 3.1101305240224584e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y2[1] (closed_form) 0.22952794702146823 y2[1] (numeric) 0.22952794702121324 absolute error 2.5499047318078283e-13 relative error 1.1109343175405697e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9733020710633005 y1[1] (numeric) -0.9733020710633286 absolute error 2.808864252301646e-14 relative error 2.88591212924581e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y2[1] (closed_form) 0.2197836122253223 y2[1] (numeric) 0.2197836122250647 absolute error 2.5759949728865195e-13 relative error 1.1720596211903223e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9755486475810364 y1[1] (numeric) -0.9755486475810621 absolute error 2.5646151868841116e-14 relative error 2.6288952306410486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y2[1] (closed_form) 0.21001729925110627 y2[1] (numeric) 0.21001729925084603 absolute error 2.602362769721367e-13 relative error 1.2391182912079368e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9776976700469687 y1[1] (numeric) -0.9776976700469918 absolute error 2.3092638912203256e-14 relative error 2.3619406714034497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y2[1] (closed_form) 0.20022998472197892 y2[1] (numeric) 0.2002299847217161 absolute error 2.628175455043902e-13 relative error 1.3125783626728766e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9797489235606417 y1[1] (numeric) -0.9797489235606622 absolute error 2.0539125955565396e-14 relative error 2.096366269117327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y2[1] (closed_form) 0.19042264736123718 y2[1] (numeric) 0.1904226473609718 absolute error 2.6537105846102804e-13 relative error 1.393589796898536e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9817022029984133 y1[1] (numeric) -0.9817022029984313 absolute error 1.7985612998927536e-14 relative error 1.8320844084890587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y2[1] (closed_form) 0.18059626789444433 y2[1] (numeric) 0.18059626789417638 absolute error 2.6795232699328153e-13 relative error 1.483709104940615e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9835573130339675 y1[1] (numeric) -0.983557313033983 absolute error 1.5432100042289676e-14 relative error 1.5690087235167273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y2[1] (closed_form) 0.17075182895135843 y2[1] (numeric) 0.17075182895108787 absolute error 2.7056135110115065e-13 relative error 1.5845297398145273e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9853140681578468 y1[1] (numeric) -0.9853140681578598 absolute error 1.2989609388114332e-14 relative error 1.3183217217632786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y2[1] (closed_form) 0.1608903149676701 y2[1] (numeric) 0.16089031496739695 absolute error 2.7314261963340414e-13 relative error 1.6976946044781532e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9869722926960026 y1[1] (numeric) -0.986972292696013 absolute error 1.0436096431476471e-14 relative error 1.0573849447150483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y2[1] (closed_form) 0.15101271208655984 y2[1] (numeric) 0.1510127120862841 absolute error 2.7572388816565763e-13 relative error 1.8258323048169208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.988531820827363 y1[1] (numeric) -0.9885318208273709 absolute error 7.882583474838611e-15 relative error 7.974031092131352e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y2[1] (closed_form) 0.1411200080600844 y2[1] (numeric) 0.1411200080598061 absolute error 2.783051566979111e-13 relative error 1.9721169274552313e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9899924966004146 y1[1] (numeric) -0.9899924966004197 absolute error 5.10702591327572e-15 relative error 5.158651132016653e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y2[1] (closed_form) 0.13121319215040259 y2[1] (numeric) 0.13121319215012175 absolute error 2.8083091407893335e-13 relative error 2.1402643246193725e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9913541739487969 y1[1] (numeric) -0.9913541739487995 absolute error 2.6645352591003757e-15 relative error 2.687773279338609e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y2[1] (closed_form) 0.12129325503084971 y2[1] (numeric) 0.12129325503056632 absolute error 2.83398304823379e-13 relative error 2.336472087844452e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9926167167059102 y1[1] (numeric) -0.99261671670591 absolute error 2.220446049250313e-16 relative error 2.2369621747043183e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y2[1] (closed_form) 0.11136118868687113 y2[1] (numeric) 0.11136118868658519 absolute error 2.8593793999220907e-13 relative error 2.5676624267743613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9937799986185308 y1[1] (numeric) -0.9937799986185278 absolute error 2.9976021664879227e-15 relative error 3.016363954451626e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y2[1] (closed_form) 0.10141798631682453 y2[1] (numeric) 0.10141798631653605 absolute error 2.884775751610391e-13 relative error 2.844441953913876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9948439033594367 y1[1] (numeric) -0.994843903359431 absolute error 5.773159728050814e-15 relative error 5.803080974367668e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y2[1] (closed_form) 0.09146464223266096 y2[1] (numeric) 0.09146464223236994 absolute error 2.9101721032986916e-13 relative error 3.18174546170094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9958083245390407 y1[1] (numeric) -0.995808324539032 absolute error 8.659739592076221e-15 relative error 8.696191203347101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y2[1] (closed_form) 0.08150215176049441 y2[1] (numeric) 0.08150215176020086 absolute error 2.935568454986992e-13 relative error 3.6018293892578134e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9966731657160282 y1[1] (numeric) -0.9966731657160167 absolute error 1.1435297153639112e-14 relative error 1.1473467478602965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y2[1] (closed_form) 0.07153151114107005 y2[1] (numeric) 0.07153151114077397 absolute error 2.9608260287972143e-13 relative error 4.139191220157582e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9974383404070023 y1[1] (numeric) -0.997438340406988 absolute error 1.432187701766452e-14 relative error 1.435865901427101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y2[1] (closed_form) 0.06155371743014097 y2[1] (numeric) 0.06155371742984239 absolute error 2.9858060468512804e-13 relative error 4.850732289629712e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9981037720951316 y1[1] (numeric) -0.9981037720951145 absolute error 1.709743457922741e-14 relative error 1.712991680548204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y2[1] (closed_form) 0.05156976839876348 y2[1] (numeric) 0.0515697683984624 absolute error 3.0108554538443855e-13 relative error 5.838411820202354e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9986693942378018 y1[1] (numeric) -0.9986693942377816 absolute error 2.020605904817785e-14 relative error 2.0232981169508446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y2[1] (closed_form) 0.04158066243352077 y2[1] (numeric) 0.041580662433217196 absolute error 3.0357660829594124e-13 relative error 7.300908415812278e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9991351502732699 y1[1] (numeric) -0.9991351502732467 absolute error 2.3203661214665772e-14 relative error 2.3223746265276945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y2[1] (closed_form) 0.031587398436685156 y2[1] (numeric) 0.031587398436379074 absolute error 3.0608154899525175e-13 relative error 9.689989177449098e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9995009936263206 y1[1] (numeric) -0.9995009936262944 absolute error 2.6201263381153694e-14 relative error 2.621434450614409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y2[1] (closed_form) 0.021590975726328607 y2[1] (numeric) 0.02159097572602005 absolute error 3.085552646719947e-13 relative error 1.4290936573826732e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y1[1] (closed_form) -0.9997668877129233 y1[1] (numeric) -0.9997668877128943 absolute error 2.8976820942716586e-14 relative error 2.898357737072514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y2[1] (closed_form) 0.01159239393639185 y2[1] (numeric) 0.011592393936080816 absolute error 3.1103418451916554e-13 relative error 2.6830884649523513e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y1[1] (closed_form) -0.9999328059438911 y1[1] (numeric) -0.9999328059438591 absolute error 3.197442310920451e-14 relative error 3.1976571744760497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y2[1] (closed_form) 0.001592652916721751 y2[1] (numeric) 0.0015926529164082505 absolute error 3.1350052762113556e-13 relative error 1.9684171254740908e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 y1[1] (closed_form) -0.9999987317275392 y1[1] (numeric) -0.9999987317275041 absolute error 3.5083047578154947e-14 relative error 3.5083092073074464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y2[1] (closed_form) -0.008407247366912814 y2[1] (numeric) -0.008407247367228773 absolute error 3.159590644674637e-13 relative error 3.758174949281712e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y1[1] (closed_form) -0.999964658471344 y1[1] (numeric) -0.9999646584713056 absolute error 3.8413716652030416e-14 relative error 3.841507429947959e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y2[1] (closed_form) -0.018406306932816707 y2[1] (numeric) -0.01840630693313511 absolute error 3.18405024568591e-13 relative error 1.7298691461072232e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y1[1] (closed_form) -0.9998305895826027 y1[1] (numeric) -0.9998305895825612 absolute error 4.1522341120980855e-14 relative error 4.152937663000999e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y2[1] (closed_form) -0.02840352588336585 y2[1] (numeric) -0.028403525883686696 absolute error 3.208440457758144e-13 relative error 1.1295923157332817e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 y1[1] (closed_form) -0.9995965384680926 y1[1] (numeric) -0.9995965384680479 absolute error 4.474198789239381e-14 relative error 4.476004684946394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y2[1] (closed_form) -0.03839790450499619 y2[1] (numeric) -0.03839790450531946 absolute error 3.2327612808913386e-13 relative error 8.419108601279802e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9992625285327301 y1[1] (numeric) -0.9992625285326822 absolute error 4.796163466380676e-14 relative error 4.799703110476019e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y2[1] (closed_form) -0.048388443368174175 y2[1] (numeric) -0.04838844336849988 absolute error 3.257047409555014e-13 relative error 6.731043990758389e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9988285931772303 y1[1] (numeric) -0.998828593177179 absolute error 5.129230373768223e-14 relative error 5.135245835776852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y2[1] (closed_form) -0.05837414342733891 y2[1] (numeric) -0.058374143427667016 absolute error 3.281055982462533e-13 relative error 5.620735123157088e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9982947757947672 y1[1] (numeric) -0.9982947757947127 absolute error 5.4511950509095186e-14 relative error 5.460506438661554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y2[1] (closed_form) -0.06835400612080587 y2[1] (numeric) -0.06835400612113636 absolute error 3.3048563885529347e-13 relative error 4.834912503463332e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9976611297666341 y1[1] (numeric) -0.9976611297665765 absolute error 5.762057497804562e-14 relative error 5.775565796727374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y2[1] (closed_form) -0.07832703347062224 y2[1] (numeric) -0.07832703347095513 absolute error 3.3288649614604537e-13 relative error 4.2499566419925707e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.996927718456906 y1[1] (numeric) -0.9969277184568449 absolute error 6.106226635438361e-14 relative error 6.1250444965958825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y2[1] (closed_form) -0.08829222818236386 y2[1] (numeric) -0.08829222818269913 absolute error 3.3527347564898946e-13 relative error 3.7973158289367925e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9960946152061025 y1[1] (numeric) -0.996094615206038 absolute error 6.45039577307216e-14 relative error 6.475685817995818e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y2[1] (closed_form) -0.09824859374486385 y2[1] (numeric) -0.0982485937452015 absolute error 3.3766045515193355e-13 relative error 3.4367968261081137e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9951619033238545 y1[1] (numeric) -0.9951619033237867 absolute error 6.772360450213455e-14 relative error 6.80528507732629e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y2[1] (closed_form) -0.10819513452986292 y2[1] (numeric) -0.10819513453020291 absolute error 3.399919235036464e-13 relative error 3.142395681478683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9941296760805729 y1[1] (numeric) -0.9941296760805016 absolute error 7.127631818093505e-14 relative error 7.1697203992488195e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y2[1] (closed_form) -0.11813085589157131 y2[1] (numeric) -0.11813085589191363 absolute error 3.423233918553592e-13 relative error 2.8978321478477e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.992998036698122 y1[1] (numeric) -0.9929980366980473 absolute error 7.471800955727304e-14 relative error 7.524487138536791e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y2[1] (closed_form) -0.1280547642661326 y2[1] (numeric) -0.12805476426647724 absolute error 3.446409824192642e-13 relative error 2.691356189629982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9917670983394968 y1[1] (numeric) -0.9917670983394187 absolute error 7.815970093361102e-14 relative error 7.880852375973435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y2[1] (closed_form) -0.13796586727097923 y2[1] (numeric) -0.13796586727132618 absolute error 3.469446951953614e-13 relative error 2.5147139800449785e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9904369840975076 y1[1] (numeric) -0.9904369840974259 absolute error 8.171241461241152e-14 relative error 8.250137658870684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y2[1] (closed_form) -0.1478631738040699 y2[1] (numeric) -0.14786317380441918 absolute error 3.4927616354707425e-13 relative error 2.362157896122885e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.98900782698247 y1[1] (numeric) -0.9890078269823847 absolute error 8.537615059367454e-14 relative error 8.632505048434548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y2[1] (closed_form) -0.15774569414299913 y2[1] (numeric) -0.15774569414335068 absolute error 3.515521207475558e-13 relative error 2.2286004233425725e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9874797699089047 y1[1] (numeric) -0.9874797699088155 absolute error 8.926193117986259e-14 relative error 9.0393680863049e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y2[1] (closed_form) -0.16761244004396833 y2[1] (numeric) -0.16761244004432216 absolute error 3.538280779480374e-13 relative error 2.1109893624555594e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9858529656812456 y1[1] (numeric) -0.9858529656811525 absolute error 9.303668946358812e-14 relative error 9.437177013440109e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y2[1] (closed_form) -0.17746242484060973 y2[1] (numeric) -0.1774624248409658 absolute error 3.5607627957290333e-13 relative error 2.0064883024827258e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9841275769785597 y1[1] (numeric) -0.9841275769784628 absolute error 9.692247004977617e-14 relative error 9.848567636661983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y2[1] (closed_form) -0.1872946635426519 y2[1] (numeric) -0.18729466354301028 absolute error 3.5837999234900053e-13 relative error 1.913455437385636e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9823037763382796 y1[1] (numeric) -0.9823037763381789 absolute error 1.006972283335017e-13 relative error 1.0251129106809442e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y2[1] (closed_form) -0.1971081729344182 y2[1] (numeric) -0.1971081729347788 absolute error 3.6060043839825084e-13 relative error 1.8294545225084592e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9803817461389495 y1[1] (numeric) -0.980381746138845 absolute error 1.0447198661722723e-13 relative error 1.065625579307965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y2[1] (closed_form) -0.20690197167314733 y2[1] (numeric) -0.2069019716735101 absolute error 3.627653732962699e-13 relative error 1.7533200402234313e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9783616785819874 y1[1] (numeric) -0.9783616785818793 absolute error 1.0813572259849025e-13 relative error 1.1052734889945752e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y2[1] (closed_form) -0.21667508038712688 y2[1] (numeric) -0.21667508038749184 absolute error 3.649580637699046e-13 relative error 1.6843564249190306e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.976243775672466 y1[1] (numeric) -0.9762437756723539 absolute error 1.1213252548714081e-13 relative error 1.148611937729391e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y2[1] (closed_form) -0.22642652177362968 y2[1] (numeric) -0.22642652177399686 absolute error 3.671785098191549e-13 relative error 1.6216232398174729e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9740282491989111 y1[1] (numeric) -0.974028249198795 absolute error 1.1601830607332886e-13 relative error 1.1911184934189336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y2[1] (closed_form) -0.23615532069664324 y2[1] (numeric) -0.23615532069701262 absolute error 3.693712002927896e-13 relative error 1.564102808283836e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9717153207121237 y1[1] (numeric) -0.9717153207120038 absolute error 1.199040866595169e-13 relative error 1.2339425354706246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y2[1] (closed_form) -0.24586050428438264 y2[1] (numeric) -0.24586050428475412 absolute error 3.714806240395774e-13 relative error 1.5109406251355123e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9693052215030253 y1[1] (numeric) -0.9693052215029013 absolute error 1.2401191185062999e-13 relative error 1.2793897020211495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y2[1] (closed_form) -0.25554110202657665 y2[1] (numeric) -0.25554110202695024 absolute error 3.735900477863652e-13 relative error 1.461956784343488e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9667981925795284 y1[1] (numeric) -0.9667981925794 absolute error 1.283417816466681e-13 relative error 1.327492982834789e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y2[1] (closed_form) -0.2651961458715182 y2[1] (numeric) -0.2651961458718939 absolute error 3.7569947153315297e-13 relative error 1.416685262519506e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9641944846424358 y1[1] (numeric) -0.9641944846423035 absolute error 1.3233858453531866e-13 relative error 1.3725299889512998e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y2[1] (closed_form) -0.27482467032286867 y2[1] (numeric) -0.2748246703232465 absolute error 3.7780889527994077e-13 relative error 1.3747270026234708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9614943580603719 y1[1] (numeric) -0.9614943580602355 absolute error 1.3633538742396922e-13 relative error 1.4179530673377989e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y2[1] (closed_form) -0.28442571253620663 y2[1] (numeric) -0.28442571253658655 absolute error 3.7991831902672857e-13 relative error 1.335738304526058e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9586980828437445 y1[1] (numeric) -0.9586980828436041 absolute error 1.4033219031261979e-13 relative error 1.4637787727326887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y2[1] (closed_form) -0.29399831241531166 y2[1] (numeric) -0.2939983124156937 absolute error 3.8202774277351637e-13 relative error 1.2994215498551959e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9558059386177451 y1[1] (numeric) -0.9558059386176008 absolute error 1.4432899320127035e-13 relative error 1.510024026529843e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y2[1] (closed_form) -0.3035415127081729 y2[1] (numeric) -0.3035415127085569 absolute error 3.839706330666104e-13 relative error 1.26496909645358e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9528182145943863 y1[1] (numeric) -0.9528182145942377 absolute error 1.4865886299730846e-13 relative error 1.5602017333452465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y2[1] (closed_form) -0.3130543591027138 y2[1] (numeric) -0.3130543591030998 absolute error 3.8602454566216693e-13 relative error 1.2330911052272283e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9497352095435807 y1[1] (numeric) -0.9497352095434276 absolute error 1.5309975509580909e-13 relative error 1.6120256841839637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y2[1] (closed_form) -0.3225359003222221 y2[1] (numeric) -0.32253590032261015 absolute error 3.880229471064922e-13 relative error 1.2030380082305465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.946557231763264 y1[1] (numeric) -0.9465572317631068 absolute error 1.5720758028692217e-13 relative error 1.6608354467280656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y2[1] (closed_form) -0.3319851882204773 y2[1] (numeric) -0.33198518822086737 absolute error 3.9007685970204875e-13 relative error 1.1749827207441308e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9432845990485662 y1[1] (numeric) -0.9432845990484047 absolute error 1.6153745008296028e-13 relative error 1.7124996024094243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y2[1] (closed_form) -0.3414012778765638 y2[1] (numeric) -0.34140127787695584 absolute error 3.9201974999514277e-13 relative error 1.1482667915990649e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9399176386600313 y1[1] (numeric) -0.9399176386598656 absolute error 1.6575629757653587e-13 relative error 1.7635193846648302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y2[1] (closed_form) -0.3507832276893628 y2[1] (numeric) -0.35078322768975684 absolute error 3.9401815143946806e-13 relative error 1.1232525398517402e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9364566872908926 y1[1] (numeric) -0.9364566872907225 absolute error 1.7008616737257398e-13 relative error 1.8162737228629553e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y2[1] (closed_form) -0.3601300994717113 y2[1] (numeric) -0.3601300994721073 absolute error 3.959610417325621e-13 relative error 1.0994944391302269e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9329020910334028 y1[1] (numeric) -0.9329020910332283 absolute error 1.745270594710746e-13 relative error 1.8707971731282744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y2[1] (closed_form) -0.36944095854422 y2[1] (numeric) -0.36944095854461784 absolute error 3.9784842087442485e-13 relative error 1.0768931047660343e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9292542053442254 y1[1] (numeric) -0.9292542053440467 absolute error 1.787459069646502e-13 relative error 1.9235415447857674e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y2[1] (closed_form) -0.37871487382874075 y2[1] (numeric) -0.3787148738291404 absolute error 3.996247777138251e-13 relative error 1.0552127875878993e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9255133950088896 y1[1] (numeric) -0.9255133950087066 absolute error 1.8307577676068831e-13 relative error 1.9780996984806455e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y2[1] (closed_form) -0.38795091794147324 y2[1] (numeric) -0.3879509179418748 absolute error 4.015676680069191e-13 relative error 1.0350991567121388e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9216800341053115 y1[1] (numeric) -0.9216800341051241 absolute error 1.8740564655672642e-13 relative error 2.0333048305493986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y2[1] (closed_form) -0.397148167285703 y2[1] (numeric) -0.39714816728610636 absolute error 4.0334402484631937e-13 relative error 1.0156008715914812e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y1[1] (closed_form) -0.9177545059663871 y1[1] (numeric) -0.9177545059661951 absolute error 1.9195756095768957e-13 relative error 2.0916003104289856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y2[1] (closed_form) -0.4063057021441599 y2[1] (numeric) -0.40630570214456513 absolute error 4.0523140398818214e-13 relative error 9.973559363053276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9137372031416588 y1[1] (numeric) -0.9137372031414625 absolute error 1.963984530561902e-13 relative error 2.1493975771252697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y2[1] (closed_form) -0.41542260677098936 y2[1] (numeric) -0.4154226067713963 absolute error 4.0695224967635113e-13 relative error 9.796102644473856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9096285273580617 y1[1] (numeric) -0.9096285273578608 absolute error 2.0083934515469082e-13 relative error 2.207927072582162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y2[1] (closed_form) -0.4244979694833261 y2[1] (numeric) -0.4244979694837348 absolute error 4.087286065157514e-13 relative error 9.628517352232138e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9054288894797499 y1[1] (numeric) -0.9054288894795446 absolute error 2.0528023725319144e-13 relative error 2.2672154559939363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y2[1] (closed_form) -0.4335308827524616 y2[1] (numeric) -0.433530882752872 absolute error 4.103939410526891e-13 relative error 9.466313874737655e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.9011387094670118 y1[1] (numeric) -0.901138709466802 absolute error 2.0983215165415459e-13 relative error 2.3285222291500725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y2[1] (closed_form) -0.4425204432945964 y2[1] (numeric) -0.44252044329500856 absolute error 4.1217029789208937e-13 relative error 9.314152693680138e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8967584163342733 y1[1] (numeric) -0.8967584163340591 absolute error 2.142730437526552e-13 relative error 2.389417705479146e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y2[1] (closed_form) -0.4514657521611676 y2[1] (numeric) -0.45146575216158147 absolute error 4.1389114358025836e-13 relative error 9.167719624333862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8922884481071977 y1[1] (numeric) -0.8922884481069786 absolute error 2.1904700275854339e-13 relative error 2.4548900439449323e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y2[1] (closed_form) -0.46036591482874284 y2[1] (numeric) -0.4603659148291585 absolute error 4.156675004196586e-13 relative error 9.02906768356836e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8877292517788826 y1[1] (numeric) -0.8877292517786588 absolute error 2.2382096176443156e-13 relative error 2.5212750544822795e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y2[1] (closed_form) -0.4692200412884722 y2[1] (numeric) -0.46922004128888956 absolute error 4.1733283495659634e-13 relative error 8.89418179604191e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8830812832651616 y1[1] (numeric) -0.8830812832649331 absolute error 2.284838984678572e-13 relative error 2.5873484445627265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y2[1] (closed_form) -0.4780272461350882 y2[1] (numeric) -0.4780272461355072 absolute error 4.189981694935341e-13 relative error 8.765152465287036e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8783450073590126 y1[1] (numeric) -0.8783450073587793 absolute error 2.332578574737454e-13 relative error 2.6556518853007398e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y2[1] (closed_form) -0.4867866486554453 y2[1] (numeric) -0.4867866486558659 absolute error 4.2060799287924056e-13 relative error 8.640499776257278e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8735208976840795 y1[1] (numeric) -0.8735208976838414 absolute error 2.3803181647963356e-13 relative error 2.7249699132638376e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y2[1] (closed_form) -0.49549737291659113 y2[1] (numeric) -0.49549737291701335 absolute error 4.2221781626494703e-13 relative error 8.52109091476496e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8686094366473096 y1[1] (numeric) -0.868609436647067 absolute error 2.425837308805967e-13 relative error 2.7927825861175334e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y2[1] (closed_form) -0.5041585478533583 y2[1] (numeric) -0.5041585478537822 absolute error 4.2388315080188477e-13 relative error 8.407735078711334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8636111153907139 y1[1] (numeric) -0.8636111153904664 absolute error 2.474687121889474e-13 relative error 2.8655109664375718e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y2[1] (closed_form) -0.5127693073554711 y2[1] (numeric) -0.5127693073558965 absolute error 4.2543746303636e-13 relative error 8.296858976027413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8585264337422526 y1[1] (numeric) -0.8585264337420002 absolute error 2.523536934972981e-13 relative error 2.93938175435446e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y2[1] (closed_form) -0.5213287903541545 y2[1] (numeric) -0.5213287903545815 absolute error 4.269917752708352e-13 relative error 8.190450693904066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8533559001658534 y1[1] (numeric) -0.8533559001655961 absolute error 2.5723867480564877e-13 relative error 3.0144360020907257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y2[1] (closed_form) -0.5298361409082418 y2[1] (numeric) -0.5298361409086702 absolute error 4.283240429003854e-13 relative error 8.084085056299765e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8481000317105652 y1[1] (numeric) -0.848100031710303 absolute error 2.62234678416462e-13 relative error 3.092025334411919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y2[1] (closed_form) -0.5382905082897669 y2[1] (numeric) -0.5382905082901968 absolute error 4.298783551348606e-13 relative error 7.985991737076163e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8427593539588537 y1[1] (numeric) -0.8427593539585866 absolute error 2.6711965972481266e-13 relative error 3.169584039263649e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y2[1] (closed_form) -0.5466910470690369 y2[1] (numeric) -0.5466910470694684 absolute error 4.3143266736933583e-13 relative error 7.89170903168008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8373344009740433 y1[1] (numeric) -0.8373344009737715 absolute error 2.717825964282383e-13 relative error 3.245807124514204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y2[1] (closed_form) -0.5550369171991745 y2[1] (numeric) -0.5550369171996072 absolute error 4.32764934998886e-13 relative error 7.797047756439393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8318257152469121 y1[1] (numeric) -0.8318257152466352 absolute error 2.7688962234151404e-13 relative error 3.32869755366152e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y2[1] (closed_form) -0.5633272841001213 y2[1] (numeric) -0.5633272841005554 absolute error 4.340972026284362e-13 relative error 7.70595025096074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8262338476414418 y1[1] (numeric) -0.82623384764116 absolute error 2.8177460364986473e-13 relative error 3.41034931519951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y2[1] (closed_form) -0.5715613187420959 y2[1] (numeric) -0.5715613187425316 absolute error 4.3565151486291143e-13 relative error 7.622130829666751e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8205593573397333 y1[1] (numeric) -0.8205593573394465 absolute error 2.8677060726067793e-13 relative error 3.494818561211621e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y2[1] (closed_form) -0.579738197728496 y2[1] (numeric) -0.5797381977289329 absolute error 4.368727601899991e-13 relative error 7.535690453065439e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.814802811786088 y1[1] (numeric) -0.8148028117857963 absolute error 2.9176661087149114e-13 relative error 3.5808247916072394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y2[1] (closed_form) -0.5878571033782367 y2[1] (numeric) -0.5878571033786747 absolute error 4.3798298321462426e-13 relative error 7.450500822354084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8089647866302644 y1[1] (numeric) -0.8089647866299674 absolute error 2.9698465908722937e-13 relative error 3.671169178133406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y2[1] (closed_form) -0.5959172238075189 y2[1] (numeric) -0.5959172238079581 absolute error 4.3920422854171193e-13 relative error 7.370222087817599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.8030458656699127 y1[1] (numeric) -0.8030458656696107 absolute error 3.019806626980426e-13 relative error 3.760441035906783e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y2[1] (closed_form) -0.6039177530110164 y2[1] (numeric) -0.6039177530114568 absolute error 4.404254738687996e-13 relative error 7.292805546333485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7970466407921967 y1[1] (numeric) -0.7970466407918896 absolute error 3.070876886113183e-13 relative error 3.852819557787725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y2[1] (closed_form) -0.6118578909424759 y2[1] (numeric) -0.6118578909429175 absolute error 4.4164671919588727e-13 relative error 7.218125740204091e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7909677119146048 y1[1] (numeric) -0.7909677119142926 absolute error 3.12194714524594e-13 relative error 3.946996948445596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y2[1] (closed_form) -0.619736843594721 y2[1] (numeric) -0.6197368435951638 absolute error 4.4275694222051243e-13 relative error 7.144273360485484e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7848096869249591 y1[1] (numeric) -0.7848096869246418 absolute error 3.1730174043786974e-13 relative error 4.0430405705250814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y2[1] (closed_form) -0.6275538230790524 y2[1] (numeric) -0.6275538230794963 absolute error 4.438671652451376e-13 relative error 7.072973646584319e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7785731816206267 y1[1] (numeric) -0.7785731816203044 absolute error 3.2229774404868294e-13 relative error 4.139594731195456e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y2[1] (closed_form) -0.6353080477040356 y2[1] (numeric) -0.6353080477044806 absolute error 4.4497738826976274e-13 relative error 7.004120125313756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7722588196469412 y1[1] (numeric) -0.7722588196466137 absolute error 3.275157922644212e-13 relative error 4.241010706930531e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y2[1] (closed_form) -0.64299874205367 y2[1] (numeric) -0.6429987420541161 absolute error 4.460876112943879e-13 relative error 6.937612504024987e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7658672324348378 y1[1] (numeric) -0.7658672324345054 absolute error 3.3240077357277187e-13 relative error 4.3401879528910844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y2[1] (closed_form) -0.6506251370649296 y2[1] (numeric) -0.6506251370653766 absolute error 4.46975789714088e-13 relative error 6.869943447473683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7593990591377116 y1[1] (numeric) -0.7593990591373737 absolute error 3.3784086639343514e-13 relative error 4.448792269732983e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y2[1] (closed_form) -0.6581864701046686 y2[1] (numeric) -0.6581864701051167 absolute error 4.480860127387132e-13 relative error 6.807888540575074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.752854946567502 y1[1] (numeric) -0.7528549465671589 absolute error 3.4305891460917337e-13 relative error 4.5567730699424214e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y2[1] (closed_form) -0.6656819850458839 y2[1] (numeric) -0.6656819850463331 absolute error 4.4919623576333834e-13 relative error 6.747910351402649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7462355491300127 y1[1] (numeric) -0.7462355491296645 absolute error 3.481659405224491e-13 relative error 4.6656305898097866e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y2[1] (closed_form) -0.6731109323433279 y2[1] (numeric) -0.673110932343778 absolute error 4.5008441418303846e-13 relative error 6.68663057686705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7395415287594713 y1[1] (numeric) -0.7395415287591179 absolute error 3.5338398873818733e-13 relative error 4.778419804645238e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y2[1] (closed_form) -0.6804725691084613 y2[1] (numeric) -0.6804725691089124 absolute error 4.510836149052011e-13 relative error 6.628975735145355e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7327735548523365 y1[1] (numeric) -0.7327735548519777 absolute error 3.588240815588506e-13 relative error 4.896793548058081e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y2[1] (closed_form) -0.6877661591837426 y2[1] (numeric) -0.6877661591841945 absolute error 4.518607710224387e-13 relative error 6.569976800817271e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7259323042003591 y1[1] (numeric) -0.7259323041999952 absolute error 3.639311074721263e-13 relative error 5.013292635778341e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y2[1] (closed_form) -0.694990973216242 y2[1] (numeric) -0.6949909732166948 absolute error 4.5274894944213884e-13 relative error 6.514457984208507e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7190184609229033 y1[1] (numeric) -0.719018460922534 absolute error 3.693712002927896e-13 relative error 5.137158784750526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y2[1] (closed_form) -0.7021462887305772 y2[1] (numeric) -0.7021462887310307 absolute error 4.5352610555937645e-13 relative error 6.45913982368709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.7120327163985353 y1[1] (numeric) -0.7120327163981606 absolute error 3.7470027081099033e-13 relative error 5.2624024455817984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y2[1] (closed_form) -0.7092313902011591 y2[1] (numeric) -0.7092313902016134 absolute error 4.5430326167661406e-13 relative error 6.405571833865956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.704975769195886 y1[1] (numeric) -0.704975769195506 absolute error 3.800293413291911e-13 relative error 5.390672388111475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y2[1] (closed_form) -0.7162455691237452 y2[1] (numeric) -0.7162455691242003 absolute error 4.551914400963142e-13 relative error 6.355242667025436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.697848325003795 y1[1] (numeric) -0.6978483250034095 absolute error 3.8546943414985435e-13 relative error 5.523685023500746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y2[1] (closed_form) -0.7231881240862882 y2[1] (numeric) -0.7231881240867439 absolute error 4.557465516086268e-13 relative error 6.301908679493867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.690651096560742 y1[1] (numeric) -0.6906510965603511 absolute error 3.909095269705176e-13 relative error 5.6600145705573e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y2[1] (closed_form) -0.7300583608390774 y2[1] (numeric) -0.7300583608395338 absolute error 4.564126854234019e-13 relative error 6.251728764517311e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6833848035835736 y1[1] (numeric) -0.6833848035831772 absolute error 3.963496197911809e-13 relative error 5.799801483919153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y2[1] (closed_form) -0.7368555923641626 y2[1] (numeric) -0.7368555923646198 absolute error 4.571898415406395e-13 relative error 6.204605709427675e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6760501726955322 y1[1] (numeric) -0.6760501726951303 absolute error 4.0190073491430667e-13 relative error 5.944835918196085e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y2[1] (closed_form) -0.7435791389440558 y2[1] (numeric) -0.7435791389445137 absolute error 4.578559753554146e-13 relative error 6.15746127581804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6686479373535946 y1[1] (numeric) -0.6686479373531874 absolute error 4.072298054325074e-13 relative error 6.090347142088857e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y2[1] (closed_form) -0.7502283282297016 y2[1] (numeric) -0.7502283282301603 absolute error 4.586331314726522e-13 relative error 6.113247317051854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6611788377751264 y1[1] (numeric) -0.6611788377747139 absolute error 4.1255887595070817e-13 relative error 6.239747136175336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y2[1] (closed_form) -0.7568024953077128 y2[1] (numeric) -0.756802495308172 absolute error 4.591882429849647e-13 relative error 6.067477919695028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6536436208638613 y1[1] (numeric) -0.6536436208634433 absolute error 4.1799896877137144e-13 relative error 6.394906267408229e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y2[1] (closed_form) -0.7633009827668628 y2[1] (numeric) -0.7633009827673194 absolute error 4.566347300283269e-13 relative error 5.982367903852131e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6460430401352075 y1[1] (numeric) -0.6460430401347875 absolute error 4.199973702156967e-13 relative error 6.501074140939546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y2[1] (closed_form) -0.769723140763818 y2[1] (numeric) -0.7697231407642724 absolute error 4.5441428397907657e-13 relative error 5.903606893358415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6383778556409077 y1[1] (numeric) -0.6383778556404857 absolute error 4.21995771660022e-13 relative error 6.610438753962635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y2[1] (closed_form) -0.7760683270881307 y2[1] (numeric) -0.7760683270885826 absolute error 4.5197179332490123e-13 relative error 5.82386598639755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6306488338930235 y1[1] (numeric) -0.6306488338925994 absolute error 4.241051954068098e-13 relative error 6.724902554545125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y2[1] (closed_form) -0.7823359072264559 y2[1] (numeric) -0.7823359072269057 absolute error 4.4986236957811343e-13 relative error 5.750245711883141e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6228567477872888 y1[1] (numeric) -0.6228567477868628 absolute error 4.2599257454867256e-13 relative error 6.839334663420117e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y2[1] (closed_form) -0.7885252544260027 y2[1] (numeric) -0.7885252544264504 absolute error 4.476419235288631e-13 relative error 5.676951004628489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.615002376525821 y1[1] (numeric) -0.6150023765253931 absolute error 4.2787995369053533e-13 relative error 6.957370735827891e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y2[1] (closed_form) -0.7946357497572092 y2[1] (numeric) -0.7946357497576546 absolute error 4.454214774796128e-13 relative error 5.605354121252481e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.6070865055392007 y1[1] (numeric) -0.6070865055387711 absolute error 4.296563105299356e-13 relative error 7.077349053382835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y2[1] (closed_form) -0.8006667821756341 y2[1] (numeric) -0.8006667821760773 absolute error 4.432010314303625e-13 relative error 5.5353992609267757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5991099264079304 y1[1] (numeric) -0.5991099264074987 absolute error 4.3165471197426086e-13 relative error 7.204933401159335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y2[1] (closed_form) -0.8066177485830615 y2[1] (numeric) -0.8066177485835024 absolute error 4.409805853811122e-13 relative error 5.467033004862057e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5910734367832757 y1[1] (numeric) -0.5910734367828424 absolute error 4.333200465111986e-13 relative error 7.33106953459796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y2[1] (closed_form) -0.8124880538878098 y2[1] (numeric) -0.8124880538882486 absolute error 4.388711616343244e-13 relative error 5.4015706389071995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5829778403075022 y1[1] (numeric) -0.5829778403070672 absolute error 4.3498538104813633e-13 relative error 7.461439371669691e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y2[1] (closed_form) -0.8182771110642403 y2[1] (numeric) -0.8182771110646772 absolute error 4.368727601899991e-13 relative error 5.338934137138557e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5748239465335112 y1[1] (numeric) -0.5748239465330746 absolute error 4.3665071558507407e-13 relative error 7.596251308218909e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y2[1] (closed_form) -0.8239843412114597 y2[1] (numeric) -0.8239843412118947 absolute error 4.3498538104813633e-13 relative error 5.2790491189262264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5666125708438852 y1[1] (numeric) -0.5666125708434467 absolute error 4.384270724244743e-13 relative error 7.737687001393251e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y2[1] (closed_form) -0.8296091736112092 y2[1] (numeric) -0.8296091736116422 absolute error 4.3298697960381105e-13 relative error 5.2191681743231e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5583445343693503 y1[1] (numeric) -0.5583445343689101 absolute error 4.4020342926387457e-13 relative error 7.884082357161139e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y2[1] (closed_form) -0.8351510457849362 y2[1] (numeric) -0.8351510457853673 absolute error 4.310996004619483e-13 relative error 5.1619357077709136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5500206639066639 y1[1] (numeric) -0.5500206639062223 absolute error 4.4164671919588727e-13 relative error 8.029638669554291e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y2[1] (closed_form) -0.8406094035500415 y2[1] (numeric) -0.8406094035504709 absolute error 4.2932324362254803e-13 relative error 5.107285759705285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.541641791835936 y1[1] (numeric) -0.5416417918354928 absolute error 4.432010314303625e-13 relative error 8.182548653199358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y2[1] (closed_form) -0.8459837010752973 y2[1] (numeric) -0.8459837010757248 absolute error 4.275468867831478e-13 relative error 5.053843073332375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.533208756037391 y1[1] (numeric) -0.5332087560369464 absolute error 4.446443213623752e-13 relative error 8.339028876172369e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y2[1] (closed_form) -0.8512734009354296 y2[1] (numeric) -0.8512734009358552 absolute error 4.25659507641285e-13 relative error 5.00026791831561e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5247223998075815 y1[1] (numeric) -0.5247223998071354 absolute error 4.460876112943879e-13 relative error 8.501402102482581e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y2[1] (closed_form) -0.8564779741648604 y2[1] (numeric) -0.8564779741652844 absolute error 4.239941731043473e-13 relative error 4.950438725733467e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5161835717750582 y1[1] (numeric) -0.5161835717746108 absolute error 4.474198789239381e-13 relative error 8.667844220329315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y2[1] (closed_form) -0.8615969003106039 y2[1] (numeric) -0.8615969003110261 absolute error 4.2221781626494703e-13 relative error 4.9004101118833925e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.5075931258155091 y1[1] (numeric) -0.5075931258150602 absolute error 4.488631688559508e-13 relative error 8.842971782464516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y2[1] (closed_form) -0.8666296674843114 y2[1] (numeric) -0.8666296674847319 absolute error 4.205524817280093e-13 relative error 4.8527358052350845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.49895192096637125 y1[1] (numeric) -0.498951920965921 absolute error 4.5025094763673223e-13 relative error 9.023934545931502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y2[1] (closed_form) -0.8715757724134593 y2[1] (numeric) -0.8715757724138783 absolute error 4.189981694935341e-13 relative error 4.807363659654013e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.4902608213409286 y1[1] (numeric) -0.49026082134047705 absolute error 4.5152770411505116e-13 relative error 9.209948755033348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y2[1] (closed_form) -0.8764347204916765 y2[1] (numeric) -0.8764347204920939 absolute error 4.1744385725905886e-13 relative error 4.762977179006264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.48152069604190106 y1[1] (numeric) -0.48152069604144826 absolute error 4.528044605933701e-13 relative error 9.403634450511093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y2[1] (closed_form) -0.8812060258282044 y2[1] (numeric) -0.8812060258286204 absolute error 4.1600056732704616e-13 relative error 4.720809380939794e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.4727324190745353 y1[1] (numeric) -0.47273241907408126 absolute error 4.5402570592045777e-13 relative error 9.604285375843283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y2[1] (closed_form) -0.8858892112964852 y2[1] (numeric) -0.8858892112968997 absolute error 4.1444625509257094e-13 relative error 4.678307962301914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.46389686925920437 y1[1] (numeric) -0.46389686925874923 absolute error 4.551359289450829e-13 relative error 9.811144655317209e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y2[1] (closed_form) -0.8904838085818749 y2[1] (numeric) -0.8904838085822878 absolute error 4.128919428580957e-13 relative error 4.636714770992185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.45501493014352695 y1[1] (numeric) -0.45501493014307065 absolute error 4.563016631209393e-13 relative error 1.0028278917727084e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y2[1] (closed_form) -0.8949893582284738 y2[1] (numeric) -0.8949893582288854 absolute error 4.1155967522854553e-13 relative error 4.598486802604888e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.446087489914013 y1[1] (numeric) -0.4460874899135555 absolute error 4.574673972967958e-13 relative error 1.0255104831228877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y2[1] (closed_form) -0.8994054096850717 y2[1] (numeric) -0.8994054096854819 absolute error 4.1022740759899534e-13 relative error 4.561095621413231e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.43711544130724594 y1[1] (numeric) -0.4371154413067873 absolute error 4.586331314726522e-13 relative error 1.0492265615258408e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y2[1] (closed_form) -0.9037315213502031 y2[1] (numeric) -0.9037315213506121 absolute error 4.0900616227190767e-13 relative error 4.525748550419484e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) -0.4280996815206098 y1[1] (numeric) -0.42809968152015015 absolute error 4.596323321948148e-13 relative error 1.0736572626314532e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y2[1] (closed_form) -0.9079672606163064 y2[1] (numeric) -0.9079672606167143 absolute error 4.078959392472825e-13 relative error 4.492408007865972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.41904111212257006 y1[1] (numeric) -0.41904111212210937 absolute error 4.606870440682087e-13 relative error 1.0993838808194485e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y2[1] (closed_form) -0.912112203912985 y2[1] (numeric) -0.9121122039133918 absolute error 4.0678571622265736e-13 relative error 4.459821000941947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.40994063896251787 y1[1] (numeric) -0.4099406389620561 absolute error 4.617417559416026e-13 relative error 1.1263624828955323e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y2[1] (closed_form) -0.9161659367493631 y2[1] (numeric) -0.9161659367497687 absolute error 4.055644708955697e-13 relative error 4.426757802571747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.4007991720801854 y1[1] (numeric) -0.4007991720797227 absolute error 4.62685445512534e-13 relative error 1.1544071887952088e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y2[1] (closed_form) -0.9201280537555353 y2[1] (numeric) -0.9201280537559398 absolute error 4.0445424787094453e-13 relative error 4.395630001934515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3916176256146431 y1[1] (numeric) -0.3916176256141794 absolute error 4.636846462346966e-13 relative error 1.1840239455692132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y2[1] (closed_form) -0.9239981587231028 y2[1] (numeric) -0.9239981587235061 absolute error 4.0334402484631937e-13 relative error 4.3652037727403165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.38239691771288625 y1[1] (numeric) -0.3823969177124215 absolute error 4.647393581080905e-13 relative error 1.2153323852286623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y2[1] (closed_form) -0.9277758646447937 y2[1] (numeric) -0.9277758646451959 absolute error 4.022338018216942e-13 relative error 4.3354630913544254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3731379704380211 y1[1] (numeric) -0.3731379704375555 absolute error 4.656275365277907e-13 relative error 1.247869617721288e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y2[1] (closed_form) -0.931460793753164 y2[1] (numeric) -0.9314607937535652 absolute error 4.0112357879706906e-13 relative error 4.3063925125695233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3638417096770594 y1[1] (numeric) -0.3638417096765929 absolute error 4.665157149474908e-13 relative error 1.282194158997228e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y2[1] (closed_form) -0.9350525775583738 y2[1] (numeric) -0.9350525775587741 absolute error 4.0034642267983145e-13 relative error 4.28153915927619e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.35450906504833046 y1[1] (numeric) -0.354509065047863 absolute error 4.674594045184222e-13 relative error 1.318610581804708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y2[1] (closed_form) -0.9385508568850355 y2[1] (numeric) -0.938550856885435 absolute error 3.9956926656259384e-13 relative error 4.257300109327349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3451409698085198 y1[1] (numeric) -0.34514096980805153 absolute error 4.68292071786891e-13 relative error 1.3568139188074195e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y2[1] (closed_form) -0.9419552819081318 y2[1] (numeric) -0.9419552819085305 absolute error 3.986810881428937e-13 relative error 4.232484235719555e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3357383607593448 y1[1] (numeric) -0.3357383607588756 absolute error 4.692357613578224e-13 relative error 1.3976233168487044e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y2[1] (closed_form) -0.9452655121879973 y2[1] (numeric) -0.9452655121883952 absolute error 3.979039320256561e-13 relative error 4.2094409125816044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.32630217815387497 y1[1] (numeric) -0.32630217815340484 absolute error 4.701239397775225e-13 relative error 1.4407624933347066e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y2[1] (closed_form) -0.9484812167043626 y2[1] (numeric) -0.9484812167047598 absolute error 3.97237798210881e-13 relative error 4.188146177434511e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.3168333656025072 y1[1] (numeric) -0.3168333656020362 absolute error 4.710121181972227e-13 relative error 1.4866241038140695e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y2[1] (closed_form) -0.9516020738894557 y2[1] (numeric) -0.9516020738898523 absolute error 3.965716643961059e-13 relative error 4.1674106780285794e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.30733286997860615 y1[1] (numeric) -0.3073328699781343 absolute error 4.718447854656915e-13 relative error 1.535289035300836e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y2[1] (closed_form) -0.954627771660159 y2[1] (numeric) -0.954627771660555 absolute error 3.9601655288379334e-13 relative error 4.148387095371164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.29780164132381703 y1[1] (numeric) -0.2978016413233445 absolute error 4.725109192804666e-13 relative error 1.5866632473213203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y2[1] (closed_form) -0.9575580074492166 y2[1] (numeric) -0.9575580074496122 absolute error 3.955724636739433e-13 relative error 4.1310548352854974e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2882406327530628 y1[1] (numeric) -0.28824063275258943 absolute error 4.733435865489355e-13 relative error 1.6421820269679028e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y2[1] (closed_form) -0.9603924882354916 y2[1] (numeric) -0.9603924882358869 absolute error 3.9523939676655573e-13 relative error 4.115394503894137e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2786508003592329 y1[1] (numeric) -0.27865080035875883 absolute error 4.740652315149418e-13 relative error 1.70128788757751e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y2[1] (closed_form) -0.9631309305732675 y2[1] (numeric) -0.9631309305736623 absolute error 3.9479530755670567e-13 relative error 4.099082430274756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2690331031175753 y1[1] (numeric) -0.2690331031171005 absolute error 4.747868764809482e-13 relative error 1.764789800879829e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y2[1] (closed_form) -0.9657730606205923 y2[1] (numeric) -0.9657730606209869 absolute error 3.9457326295178063e-13 relative error 4.085569157398461e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2593885027897994 y1[1] (numeric) -0.2593885027893239 absolute error 4.755085214469545e-13 relative error 1.8331904318530734e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y2[1] (closed_form) -0.9683186141666632 y2[1] (numeric) -0.9683186141670577 absolute error 3.944622406493181e-13 relative error 4.073682307437548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2497179638279009 y1[1] (numeric) -0.24971796382742467 absolute error 4.762301664129609e-13 relative error 1.907072118933207e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y2[1] (closed_form) -0.9707673366582469 y2[1] (numeric) -0.9707673366586411 absolute error 3.942401960443931e-13 relative error 4.061119293542765e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2400224532777172 y1[1] (numeric) -0.24002245327724028 absolute error 4.769240558033516e-13 relative error 1.9869976716366955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y2[1] (closed_form) -0.9731189832251348 y2[1] (numeric) -0.9731189832255289 absolute error 3.9412917374193057e-13 relative error 4.0501642711325806e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.23030294068222376 y1[1] (numeric) -0.23030294068174614 absolute error 4.776179451937423e-13 relative error 2.0738682006356505e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y2[1] (closed_form) -0.9753733187046298 y2[1] (numeric) -0.9753733187050239 absolute error 3.9401815143946806e-13 relative error 4.039665058326121e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.22056039798458055 y1[1] (numeric) -0.2205603979841022 absolute error 4.783395901597487e-13 relative error 2.1687464954301976e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y2[1] (closed_form) -0.9775301176650628 y2[1] (numeric) -0.9775301176654569 absolute error 3.9412917374193057e-13 relative error 4.0318877814562994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2107957994309386 y1[1] (numeric) -0.21079579943045956 absolute error 4.790334795501394e-13 relative error 2.2725001202269282e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y2[1] (closed_form) -0.9795891644283349 y2[1] (numeric) -0.9795891644287291 absolute error 3.942401960443931e-13 relative error 4.024546313499316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.2010101214730161 y1[1] (numeric) -0.2010101214725364 absolute error 4.796996133649145e-13 relative error 2.3864450697787877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y2[1] (closed_form) -0.9815502530914857 y2[1] (numeric) -0.98155025309188 absolute error 3.943512183468556e-13 relative error 4.01763656119296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.1912043426704542 y1[1] (numeric) -0.1912043426699738 absolute error 4.803935027553052e-13 relative error 2.51246125504208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y2[1] (closed_form) -0.983413187547283 y2[1] (numeric) -0.9834131875476776 absolute error 3.9457326295178063e-13 relative error 4.012283625521438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.18137944359296163 y1[1] (numeric) -0.18137944359248057 absolute error 4.810596365700803e-13 relative error 2.6522279870349526e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y2[1] (closed_form) -0.9851777815038338 y2[1] (numeric) -0.9851777815042285 absolute error 3.9468428525424315e-13 relative error 4.006223979714338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.17153640672225878 y1[1] (numeric) -0.17153640672177708 absolute error 4.816980148092398e-13 relative error 2.808138657055908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y2[1] (closed_form) -0.986843858503213 y2[1] (numeric) -0.9868438585036079 absolute error 3.949063298591682e-13 relative error 4.0017103664012157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.16167621635383023 y1[1] (numeric) -0.16167621635334792 absolute error 4.823086374727836e-13 relative error 2.9831761798361595e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y2[1] (closed_form) -0.9884112519391088 y2[1] (numeric) -0.9884112519395041 absolute error 3.9523939676655573e-13 relative error 3.9987342919372644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.15179985849849603 y1[1] (numeric) -0.15179985849801303 absolute error 4.830025268631744e-13 relative error 3.181837793794516e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y2[1] (closed_form) -0.989879805073484 y2[1] (numeric) -0.9898798050738796 absolute error 3.955724636739433e-13 relative error 3.996166621912019e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.14190832078381144 y1[1] (numeric) -0.1419083207833277 absolute error 4.837241718291807e-13 relative error 3.4087090112644247e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y2[1] (closed_form) -0.991249371052249 y2[1] (numeric) -0.991249371052645 absolute error 3.9601655288379334e-13 relative error 3.995125388714312e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.13200259235530495 y1[1] (numeric) -0.13200259235482062 absolute error 4.843347944927245e-13 relative error 3.6691309303158545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y2[1] (closed_form) -0.992519812919947 y2[1] (numeric) -0.9925198129203434 absolute error 3.964606420936434e-13 relative error 3.994485922928578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.12208366377756476 y1[1] (numeric) -0.12208366377707978 absolute error 4.84973172731884e-13 relative error 3.972465747878442e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y2[1] (closed_form) -0.99369100363345 y2[1] (numeric) -0.993691003633847 absolute error 3.97015753605956e-13 relative error 3.995364274752014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.11215252693518285 y1[1] (numeric) -0.1121525269346972 absolute error 4.856531843344669e-13 relative error 4.3302919479927913e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y2[1] (closed_form) -0.9947628260746626 y2[1] (numeric) -0.9947628260750602 absolute error 3.9757086511826856e-13 relative error 3.996639748663352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.10221017493356753 y1[1] (numeric) -0.10221017493308124 absolute error 4.862915625736264e-13 relative error 4.757760789370492e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y2[1] (closed_form) -0.995735173062234 y2[1] (numeric) -0.9957351730626322 absolute error 3.9812597663058114e-13 relative error 3.998311874493742e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.0922576019996337 y1[1] (numeric) -0.09225760199914675 absolute error 4.869576963884015e-13 relative error 5.278239254368815e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y2[1] (closed_form) -0.9966079473622756 y2[1] (numeric) -0.9966079473626744 absolute error 3.9879211044535623e-13 relative error 4.0014943840337634e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.08229580338238099 y1[1] (numeric) -0.08229580338189338 absolute error 4.876099524153688e-13 relative error 5.92508891552741e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y2[1] (closed_form) -0.9973810616980849 y2[1] (numeric) -0.9973810616984844 absolute error 3.994582442601313e-13 relative error 4.005071477696159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.07232577525336964 y1[1] (numeric) -0.07232577525288136 absolute error 4.882760862301438e-13 relative error 6.751066055215152e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y2[1] (closed_form) -0.9980544387588723 y2[1] (numeric) -0.9980544387592727 absolute error 4.0034642267983145e-13 relative error 4.011268395115612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.062348514607104236 y1[1] (numeric) -0.0623485146066153 absolute error 4.88935281151015e-13 relative error 7.841971604810354e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y2[1] (closed_form) -0.9986280112074931 y2[1] (numeric) -0.9986280112078944 absolute error 4.0123460109953157e-13 relative error 4.017858467782993e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.052365019161335034 y1[1] (numeric) -0.052365019160845426 absolute error 4.89608353859694e-13 relative error 9.349912626809618e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y2[1] (closed_form) -0.9991017216871803 y2[1] (numeric) -0.9991017216875826 absolute error 4.0234482412415673e-13 relative error 4.027065666994529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.042376287257287065 y1[1] (numeric) -0.04237628725679676 absolute error 4.903022432500848e-13 relative error 1.1570202936213387e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y2[1] (closed_form) -0.9994755228272807 y2[1] (numeric) -0.9994755228276841 absolute error 4.034550471487819e-13 relative error 4.036667611503908e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.032383317759826814 y1[1] (numeric) -0.032383317759335825 absolute error 4.909891937465716e-13 relative error 1.516179402580143e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y2[1] (closed_form) -0.9997493772479917 y2[1] (numeric) -0.9997493772483962 absolute error 4.0445424787094453e-13 relative error 4.045556387184606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.022387109957576593 y1[1] (numeric) -0.0223871099570849 absolute error 4.916934914778182e-13 relative error 2.1963241008311194e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y2[1] (closed_form) -0.9999232575640997 y2[1] (numeric) -0.9999232575645052 absolute error 4.0545344859310717e-13 relative error 4.054845664664578e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.012388663462986475 y1[1] (numeric) -0.012388663462494068 absolute error 4.924064628264446e-13 relative error 3.974653636347489e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y2[1] (closed_form) -0.9999971463877178 y2[1] (numeric) -0.9999971463881244 absolute error 4.0667469392019484e-13 relative error 4.0667585441540786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) -0.0023889781123739087 y1[1] (numeric) -0.002388978111880781 absolute error 4.93127674111582e-13 relative error 2.06417828425211e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y2[1] (closed_form) -0.9999710363300252 y2[1] (numeric) -0.999971036330433 absolute error 4.078959392472825e-13 relative error 4.079077537528424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.007610946134059087 y1[1] (numeric) 0.007610946134552949 absolute error 4.938618958227892e-13 relative error 6.488837092313011e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y2[1] (closed_form) -0.9998449300020059 y2[1] (numeric) -0.9998449300024151 absolute error 4.092282068768327e-13 relative error 4.092916757361681e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.01761010929222111 y1[1] (numeric) 0.01761010929271572 absolute error 4.946078269174592e-13 relative error 2.8086584740047107e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y2[1] (closed_form) -0.9996188400141877 y2[1] (numeric) -0.9996188400145983 absolute error 4.106714968088454e-13 relative error 4.108280880370529e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.02760751145412895 y1[1] (numeric) 0.02760751145462432 absolute error 4.95367635799937e-13 relative error 1.7943219425010883e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y2[1] (closed_form) -0.9992927889753809 y2[1] (numeric) -0.999292788975793 absolute error 4.121147867408581e-13 relative error 4.124064451254748e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.03760215288789756 y1[1] (numeric) 0.037602152888393706 absolute error 4.961447919171746e-13 relative error 1.3194584719559005e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y2[1] (closed_form) -0.9988668094904177 y2[1] (numeric) -0.9988668094908313 absolute error 4.135580766728708e-13 relative error 4.140272484214905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.0475930341377124 y1[1] (numeric) 0.047593034138209346 absolute error 4.96942764716124e-13 relative error 1.044150207524487e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y2[1] (closed_form) -0.9983409441568918 y2[1] (numeric) -0.998340944157307 absolute error 4.1522341120980855e-13 relative error 4.1591343482408064e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.0575791561237742 y1[1] (numeric) 0.05757915612427195 absolute error 4.977546153028811e-13 relative error 8.64470146510814e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y2[1] (closed_form) -0.997715245560898 y2[1] (numeric) -0.9977152455613146 absolute error 4.1666670114182125e-13 relative error 4.176208622607331e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.06755952024220609 y1[1] (numeric) 0.06755952024270466 absolute error 4.985734047835422e-13 relative error 7.379765323911687e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y2[1] (closed_form) -0.9969897762717747 y2[1] (numeric) -0.9969897762721928 absolute error 4.1810999107383395e-13 relative error 4.1937239581066594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.07753312846491316 y1[1] (numeric) 0.07753312846541258 absolute error 4.994199498398189e-13 relative error 6.441374928729032e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y2[1] (closed_form) -0.9961646088358461 y2[1] (numeric) -0.9961646088362659 absolute error 4.197753256107717e-13 relative error 4.2139152694988457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.08749898343938446 y1[1] (numeric) 0.08749898343988474 absolute error 5.002803726839034e-13 relative error 5.717556399160638e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y2[1] (closed_form) -0.9952398257691684 y2[1] (numeric) -0.9952398257695899 absolute error 4.2155168245017194e-13 relative error 4.2356793964145967e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.09745608858842739 y1[1] (numeric) 0.09745608858892855 absolute error 5.011685511036035e-13 relative error 5.142506316050896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y2[1] (closed_form) -0.9942155195492773 y2[1] (numeric) -0.9942155195497006 absolute error 4.2321701698710967e-13 relative error 4.2567935087049636e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.10740344820982461 y1[1] (numeric) 0.10740344821032666 absolute error 5.020428517354958e-13 relative error 4.674364371939894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y2[1] (closed_form) -0.9930917926059415 y2[1] (numeric) -0.9930917926063666 absolute error 4.2510439612897244e-13 relative error 4.2806153398314685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.11734006757590341 y1[1] (numeric) 0.11734006757640639 absolute error 5.029726635186194e-13 relative error 4.2864528196497156e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y2[1] (closed_form) -0.9918687573109188 y2[1] (numeric) -0.9918687573113457 absolute error 4.268807529683727e-13 relative error 4.303802794693324e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.1272649530330077 y1[1] (numeric) 0.12726495303351162 absolute error 5.039302308773586e-13 relative error 3.959693685241515e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y2[1] (closed_form) -0.9905465359667195 y2[1] (numeric) -0.9905465359671483 absolute error 4.2876813211023546e-13 relative error 4.328601600648486e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.13717711210086242 y1[1] (numeric) 0.13717711210136732 absolute error 5.049016760239056e-13 relative error 3.6806553826024984e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y2[1] (closed_form) -0.989125260794376 y2[1] (numeric) -0.9891252607948067 absolute error 4.306555112520982e-13 relative error 4.353902668568333e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.14707555357182095 y1[1] (numeric) 0.14707555357232685 absolute error 5.059008767460682e-13 relative error 3.439734642909389e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y2[1] (closed_form) -0.9876050739202215 y2[1] (numeric) -0.987605073920654 absolute error 4.32542890393961e-13 relative error 4.379715149467749e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.15695928760998482 y1[1] (numeric) 0.15695928761049172 absolute error 5.069000774682308e-13 relative error 3.229500370362186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y2[1] (closed_form) -0.9859861273616762 y2[1] (numeric) -0.985986127362111 absolute error 4.347633364432113e-13 relative error 4.409426505893757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.16682732585018667 y1[1] (numeric) 0.16682732585069462 absolute error 5.079547893416247e-13 relative error 3.044793691638835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y2[1] (closed_form) -0.9842685830120471 y2[1] (numeric) -0.984268583012484 absolute error 4.368727601899991e-13 relative error 4.438552319257069e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.17667868149682578 y1[1] (numeric) 0.17667868149733476 absolute error 5.08981745639403e-13 relative error 2.880832827861846e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y2[1] (closed_form) -0.9824526126243379 y2[1] (numeric) -0.9824526126247767 absolute error 4.3876013933186186e-13 relative error 4.465967454245362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.18651236942254695 y1[1] (numeric) 0.18651236942305702 absolute error 5.100642130884125e-13 relative error 2.7347473771718237e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y2[1] (closed_form) -0.9805383977940739 y2[1] (numeric) -0.980538397794515 absolute error 4.410916076835747e-13 relative error 4.498463381708482e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.19632740626675232 y1[1] (numeric) 0.19632740626726353 absolute error 5.112021916886533e-13 relative error 2.6038249137467695e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y2[1] (closed_form) -0.9785261299411431 y2[1] (numeric) -0.9785261299415865 absolute error 4.434230760352875e-13 relative error 4.531540471606607e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.2061228105339366 y1[1] (numeric) 0.20612281053444895 absolute error 5.123401702888941e-13 relative error 2.485606367202824e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y2[1] (closed_form) -0.9764160102906538 y2[1] (numeric) -0.9764160102910996 absolute error 4.4575454438700035e-13 relative error 4.5652113411609335e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.21589760269183594 y1[1] (numeric) 0.21589760269234942 absolute error 5.134781488891349e-13 relative error 2.3783411324953623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y2[1] (closed_form) -0.9742082498528126 y2[1] (numeric) -0.9742082498532607 absolute error 4.480860127387132e-13 relative error 4.599488998439624e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 y1[1] (closed_form) 0.22565080526938014 y1[1] (numeric) 0.22565080526989484 absolute error 5.146993942162226e-13 relative error 2.2809552733560093e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y2[1] (closed_form) -0.9719030694018237 y2[1] (numeric) -0.9719030694022741 absolute error 4.50417481090426e-13 relative error 4.6343868567844325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) 0.23538144295443908 y1[1] (numeric) 0.23538144295495506 absolute error 5.159761506945415e-13 relative error 2.1920850863099473e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y2[1] (closed_form) -0.969500699453811 y2[1] (numeric) -0.9695006994542639 absolute error 4.5285997174460135e-13 relative error 4.671063899177481e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) 0.24508854269135313 y1[1] (numeric) 0.24508854269187036 absolute error 5.172251515972448e-13 relative error 2.110360386158895e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y2[1] (closed_form) -0.9670013802437675 y2[1] (numeric) -0.9670013802442228 absolute error 4.553024623987767e-13 relative error 4.7083951657235626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) 0.2547711337782378 y1[1] (numeric) 0.2547711337787564 absolute error 5.185851748024106e-13 relative error 2.0354942379532146e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y2[1] (closed_form) -0.9644053617015312 y2[1] (numeric) -0.9644053617019891 absolute error 4.578559753554146e-13 relative error 4.7475469707842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) 0.2644282479640532 y1[1] (numeric) 0.26442824796457304 absolute error 5.198619312807296e-13 relative error 1.965984857076996e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y2[1] (closed_form) -0.9617129034267932 y2[1] (numeric) -0.9617129034272539 absolute error 4.6074255521944e-13 relative error 4.790853419744225e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y1[1] (closed_form) 0.2740589195454283 y1[1] (numeric) 0.2740589195459495 absolute error 5.211941989102797e-13 relative error 1.9017596645814915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 Finished! diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; Iterations 4900 Total Elapsed Time 31 Seconds Elapsed Time(since restart) 31 Seconds Time to Timeout 2 Minutes 29.0 Seconds Percent Done 100.0204081632654%