##############ECHO OF PROBLEM################# ##############temp/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(cos(c(x)) + (c(0.05) * c(x) * c(x)) + c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 1.0955041652780257 y[1] (numeric) 1.0955041652780257 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 1.1045610979566969 y[1] (numeric) 1.1045610979566969 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] 0.12000000000000002 y[1] (closed_form) 1.1135286358538663 y[1] (numeric) 1.1135286358538663 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 y[1] (closed_form) 1.1224068937147882 y[1] (numeric) 1.122406893714788 absolute error 2.220446049250313e-16 relative error 1.9782897465119673e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 1.1311959962126372 y[1] (numeric) 1.131195996212637 absolute error 2.220446049250313e-16 relative error 1.9629189430342744e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 1.1398960779360423 y[1] (numeric) 1.1398960779360423 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] 0.16000000000000006 y[1] (closed_form) 1.148507283375627 y[1] (numeric) 1.1485072833756271 absolute error 2.220446049250313e-16 relative error 1.9333321445938986e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 1.1570297669095608 y[1] (numeric) 1.1570297669095608 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] 0.18000000000000008 y[1] (closed_form) 1.1654636927881215 y[1] (numeric) 1.1654636927881215 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] 0.19000000000000009 y[1] (closed_form) 1.1738092351172704 y[1] (numeric) 1.1738092351172704 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] 0.2000000000000001 y[1] (closed_form) 1.1820665778412418 y[1] (numeric) 1.1820665778412418 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] 0.2100000000000001 y[1] (closed_form) 1.1902359147241484 y[1] (numeric) 1.190235914724148 absolute error 4.440892098500626e-16 relative error 3.7311024172294927e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 1.1983174493306057 y[1] (numeric) 1.1983174493306052 absolute error 4.440892098500626e-16 relative error 3.705939608057415e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 1.206311395005375 y[1] (numeric) 1.2063113950053745 absolute error 4.440892098500626e-16 relative error 3.68138120628533e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 1.2142179748520296 y[1] (numeric) 1.2142179748520292 absolute error 4.440892098500626e-16 relative error 3.6574092876872574e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 1.2220374217106449 y[1] (numeric) 1.2220374217106444 absolute error 4.440892098500626e-16 relative error 3.6340066348247595e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 1.2297699781345135 y[1] (numeric) 1.2297699781345128 absolute error 6.661338147750939e-16 relative error 5.416735053050966e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 1.2374158963658908 y[1] (numeric) 1.2374158963658901 absolute error 6.661338147750939e-16 relative error 5.3832653736826187e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 1.244975438310771 y[1] (numeric) 1.2449754383107707 absolute error 2.220446049250313e-16 relative error 1.7835259884830313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.2524488755126972 y[1] (numeric) 1.252448875512697 absolute error 2.220446049250313e-16 relative error 1.772883582446717e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.2598364891256062 y[1] (numeric) 1.2598364891256058 absolute error 4.440892098500626e-16 relative error 3.524974976381929e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.2671385698857136 y[1] (numeric) 1.2671385698857132 absolute error 4.440892098500626e-16 relative error 3.5046617663142885e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.274355418082441 y[1] (numeric) 1.2743554180824406 absolute error 4.440892098500626e-16 relative error 3.4848143896802066e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.2814873435283871 y[1] (numeric) 1.2814873435283864 absolute error 6.661338147750939e-16 relative error 5.1981302674515096e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.2885346655283465 y[1] (numeric) 1.2885346655283454 absolute error 1.1102230246251565e-15 relative error 8.616167297058511e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.295497712847379 y[1] (numeric) 1.2954977128473781 absolute error 8.881784197001252e-16 relative error 6.855885663804027e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.302376823677935 y[1] (numeric) 1.3023768236779338 absolute error 1.1102230246251565e-15 relative error 8.524591381239934e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.3091723456060347 y[1] (numeric) 1.3091723456060336 absolute error 1.1102230246251565e-15 relative error 8.480342778026054e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.3158846355765104 y[1] (numeric) 1.3158846355765095 absolute error 8.881784197001252e-16 relative error 6.749667833236763e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.3225140598573133 y[1] (numeric) 1.3225140598573124 absolute error 8.881784197001252e-16 relative error 6.715833477006295e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 1.3290609940028852 y[1] (numeric) 1.3290609940028844 absolute error 8.881784197001252e-16 relative error 6.68275138393082e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 1.3355258228166051 y[1] (numeric) 1.3355258228166045 absolute error 6.661338147750939e-16 relative error 4.9878018335147355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 1.3419089403123086 y[1] (numeric) 1.3419089403123077 absolute error 8.881784197001252e-16 relative error 6.618768181791944e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 1.3482107496748852 y[1] (numeric) 1.3482107496748845 absolute error 6.661338147750939e-16 relative error 4.940873041812855e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 1.3544316632199636 y[1] (numeric) 1.354431663219963 absolute error 6.661338147750939e-16 relative error 4.9181795794071884e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 1.3605721023526771 y[1] (numeric) 1.3605721023526764 absolute error 6.661338147750939e-16 relative error 4.8959831942991274e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 1.3666324975255253 y[1] (numeric) 1.366632497525525 absolute error 2.220446049250313e-16 relative error 1.6247572432755214e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 1.3726132881953292 y[1] (numeric) 1.3726132881953292 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] 0.4800000000000003 y[1] (closed_form) 1.3785149227792843 y[1] (numeric) 1.3785149227792846 absolute error 2.220446049250313e-16 relative error 1.6107522759155734e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 1.3843378586101216 y[1] (numeric) 1.3843378586101223 absolute error 6.661338147750939e-16 relative error 4.811930921573537e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 1.390082561890373 y[1] (numeric) 1.3900825618903734 absolute error 4.440892098500626e-16 relative error 3.194696646263556e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 1.3957495076457516 y[1] (numeric) 1.3957495076457518 absolute error 2.220446049250313e-16 relative error 1.5908628569001606e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 1.4013391796776502 y[1] (numeric) 1.4013391796776502 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 1.4068520705147611 y[1] (numeric) 1.4068520705147611 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] 0.5400000000000004 y[1] (closed_form) 1.4122886813638242 y[1] (numeric) 1.4122886813638247 absolute error 4.440892098500626e-16 relative error 3.144464837183379e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 1.417649522059506 y[1] (numeric) 1.4176495220595065 absolute error 4.440892098500626e-16 relative error 3.1325740455575163e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 1.4229351110134163 y[1] (numeric) 1.4229351110134167 absolute error 4.440892098500626e-16 relative error 3.120937886856848e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 1.428145975162269 y[1] (numeric) 1.4281459751622696 absolute error 6.661338147750939e-16 relative error 4.6643258207509663e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 1.4332826499151872 y[1] (numeric) 1.4332826499151878 absolute error 6.661338147750939e-16 relative error 4.647609561271893e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 1.4383456791001636 y[1] (numeric) 1.4383456791001643 absolute error 6.661338147750939e-16 relative error 4.631249806317982e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 1.4433356149096785 y[1] (numeric) 1.4433356149096792 absolute error 6.661338147750939e-16 relative error 4.615238534225316e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 1.4482530178454796 y[1] (numeric) 1.4482530178454809 absolute error 1.3322676295501878e-15 relative error 9.199135877045576e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 1.4530984566625342 y[1] (numeric) 1.4530984566625353 absolute error 1.1102230246251565e-15 relative error 7.640384032717979e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 1.457872508312152 y[1] (numeric) 1.4578725083121533 absolute error 1.3322676295501878e-15 relative error 9.138437153826414e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 1.4625757578842928 y[1] (numeric) 1.462575757884294 absolute error 1.1102230246251565e-15 relative error 7.590875335108545e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 1.467208798549056 y[1] (numeric) 1.4672087985490572 absolute error 1.1102230246251565e-15 relative error 7.566905444699296e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 1.4717722314973654 y[1] (numeric) 1.4717722314973665 absolute error 1.1102230246251565e-15 relative error 7.543443209929484e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 1.4762666658808494 y[1] (numeric) 1.4762666658808505 absolute error 1.1102230246251565e-15 relative error 7.520477501012432e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 1.480692718750928 y[1] (numeric) 1.4806927187509291 absolute error 1.1102230246251565e-15 relative error 7.497997461361938e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 1.485051014997107 y[1] (numeric) 1.4850510149971075 absolute error 4.440892098500626e-16 relative error 2.9903969989268534e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 1.4893421872844885 y[1] (numeric) 1.4893421872844894 absolute error 8.881784197001252e-16 relative error 5.963561814625941e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 1.4935668759905085 y[1] (numeric) 1.4935668759905087 absolute error 2.220446049250313e-16 relative error 1.4866733354525894e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 1.4977257291408952 y[1] (numeric) 1.4977257291408954 absolute error 2.220446049250313e-16 relative error 1.482545172355405e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 1.5018194023448705 y[1] (numeric) 1.5018194023448708 absolute error 2.220446049250313e-16 relative error 1.478504037025632e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 1.5058485587295882 y[1] (numeric) 1.5058485587295882 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] 0.7500000000000006 y[1] (closed_form) 1.5098138688738212 y[1] (numeric) 1.509813868873821 absolute error 2.220446049250313e-16 relative error 1.4706753560997267e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 1.5137160107409053 y[1] (numeric) 1.5137160107409051 absolute error 2.220446049250313e-16 relative error 1.4668841668415006e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 1.5175556696109436 y[1] (numeric) 1.517555669610943 absolute error 6.661338147750939e-16 relative error 4.3895181449644674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 1.5213335380122777 y[1] (numeric) 1.5213335380122768 absolute error 8.881784197001252e-16 relative error 5.838157100385684e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 1.5250503156522361 y[1] (numeric) 1.525050315652236 absolute error 2.220446049250313e-16 relative error 1.4559821577432145e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 1.5287067093471656 y[1] (numeric) 1.5287067093471656 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 1.5323034329517473 y[1] (numeric) 1.5323034329517473 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] 0.8200000000000006 y[1] (closed_form) 1.5358412072876138 y[1] (numeric) 1.5358412072876142 absolute error 4.440892098500626e-16 relative error 2.891504718995985e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 1.5393207600712673 y[1] (numeric) 1.539320760071268 absolute error 6.661338147750939e-16 relative error 4.3274529393357457e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 1.5427428258413083 y[1] (numeric) 1.5427428258413092 absolute error 8.881784197001252e-16 relative error 5.757138551046396e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 1.5461081458849824 y[1] (numeric) 1.5461081458849832 absolute error 8.881784197001252e-16 relative error 5.744607335935985e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 1.549417468164052 y[1] (numeric) 1.5494174681640531 absolute error 1.1102230246251565e-15 relative error 7.165422150175516e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 1.5526715472400014 y[1] (numeric) 1.5526715472400028 absolute error 1.3322676295501878e-15 relative error 8.580485885236969e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 1.5558711441985804 y[1] (numeric) 1.5558711441985817 absolute error 1.3322676295501878e-15 relative error 8.562840403061981e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 1.5590170265736971 y[1] (numeric) 1.5590170265736982 absolute error 1.1102230246251565e-15 relative error 7.121301472025165e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 1.5621099682706647 y[1] (numeric) 1.562109968270666 absolute error 1.3322676295501878e-15 relative error 8.528641751291531e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 1.5651507494888117 y[1] (numeric) 1.5651507494888133 absolute error 1.5543122344752192e-15 relative error 9.930750983461929e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 1.568140156643463 y[1] (numeric) 1.5681401566434647 absolute error 1.7763568394002505e-15 relative error 1.132779383191402e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 1.5710789822872986 y[1] (numeric) 1.5710789822873001 absolute error 1.5543122344752192e-15 relative error 9.893278772097956e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 1.5739680250310983 y[1] (numeric) 1.5739680250311 absolute error 1.5543122344752192e-15 relative error 9.875119505331179e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 1.5768080894638836 y[1] (numeric) 1.5768080894638852 absolute error 1.5543122344752192e-15 relative error 9.85733295548786e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 1.579599986072457 y[1] (numeric) 1.5795999860724586 absolute error 1.5543122344752192e-15 relative error 9.839910408836393e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 1.5823445311603546 y[1] (numeric) 1.5823445311603563 absolute error 1.7763568394002505e-15 relative error 1.122610660585798e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 1.5850425467662175 y[1] (numeric) 1.5850425467662195 absolute error 1.9984014443252818e-15 relative error 1.2607872567221577e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 1.5876948605815877 y[1] (numeric) 1.5876948605815895 absolute error 1.7763568394002505e-15 relative error 1.1188276056707484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 1.59030230586814 y[1] (numeric) 1.5903023058681414 absolute error 1.3322676295501878e-15 relative error 8.377448895308669e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 1.5928657213743553 y[1] (numeric) 1.5928657213743573 absolute error 1.9984014443252818e-15 relative error 1.254595046844892e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 1.5953859512516493 y[1] (numeric) 1.5953859512516517 absolute error 2.4424906541753444e-15 relative error 1.530971644986033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 1.5978638449699547 y[1] (numeric) 1.5978638449699574 absolute error 2.6645352591003757e-15 relative error 1.6675608923052377e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 1.6003002572327776 y[1] (numeric) 1.6003002572327802 absolute error 2.6645352591003757e-15 relative error 1.665022077611774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 1.6026960478917258 y[1] (numeric) 1.6026960478917287 absolute error 2.886579864025407e-15 relative error 1.8010775454413658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 1.605052081860526 y[1] (numeric) 1.605052081860529 absolute error 2.886579864025407e-15 relative error 1.7984337683792628e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 1.6073692290285324 y[1] (numeric) 1.6073692290285353 absolute error 2.886579864025407e-15 relative error 1.7958411868877249e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 1.6096483641737382 y[1] (numeric) 1.6096483641737411 absolute error 2.886579864025407e-15 relative error 1.7932984173889065e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 1.6118903668752989 y[1] (numeric) 1.611890366875302 absolute error 3.1086244689504383e-15 relative error 1.9285582523683708e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 1.6140961214255751 y[1] (numeric) 1.6140961214255787 absolute error 3.552713678800501e-15 relative error 2.201054591261103e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 1.6162665167417045 y[1] (numeric) 1.6162665167417083 absolute error 3.774758283725532e-15 relative error 2.3354800985020815e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 1.6184024462767095 y[1] (numeric) 1.6184024462767135 absolute error 3.9968028886505635e-15 relative error 2.4695976565319665e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 1.6205048079301545 y[1] (numeric) 1.6205048079301587 absolute error 4.218847493575595e-15 relative error 2.6034155979853356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 1.622574503958355 y[1] (numeric) 1.6225745039583597 absolute error 4.6629367034256575e-15 relative error 2.873788964420543e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 1.624612440884154 y[1] (numeric) 1.624612440884159 absolute error 4.884981308350689e-15 relative error 3.006859473322857e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 1.6266195294062697 y[1] (numeric) 1.6266195294062749 absolute error 5.10702591327572e-15 relative error 3.1396560910219914e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 1.6285966843082267 y[1] (numeric) 1.6285966843082318 absolute error 5.10702591327572e-15 relative error 3.1358444742536203e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 1.630544824366878 y[1] (numeric) 1.6305448243668834 absolute error 5.329070518200751e-15 relative error 3.2682760011028635e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 1.632464872260529 y[1] (numeric) 1.6324648722605348 absolute error 5.773159728050814e-15 relative error 3.5364679670298357e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 1.6343577544766696 y[1] (numeric) 1.6343577544766756 absolute error 5.995204332975845e-15 relative error 3.668232562028956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 1.636224401219326 y[1] (numeric) 1.636224401219333 absolute error 6.8833827526759706e-15 relative error 4.206869636919254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 1.6380657463160428 y[1] (numeric) 1.63806574631605 absolute error 7.105427357601002e-15 relative error 4.3376936326157113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 1.639882727124498 y[1] (numeric) 1.6398827271245058 absolute error 7.771561172376096e-15 relative error 4.739095694972881e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 1.6416762844387716 y[1] (numeric) 1.641676284438779 absolute error 7.549516567451064e-15 relative error 4.598663353434484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 1.643447362395264 y[1] (numeric) 1.6434473623952712 absolute error 7.327471962526033e-15 relative error 4.4585985107831585e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 1.6451969083782845 y[1] (numeric) 1.645196908378292 absolute error 7.549516567451064e-15 relative error 4.588822486235298e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 1.6469258729253138 y[1] (numeric) 1.646925872925321 absolute error 7.327471962526033e-15 relative error 4.449181400927767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 1.6486352096319505 y[1] (numeric) 1.648635209631958 absolute error 7.549516567451064e-15 relative error 4.579252295076517e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 1.6503258750565524 y[1] (numeric) 1.6503258750565604 absolute error 7.993605777301127e-15 relative error 4.843652940378946e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 1.6519988286245821 y[1] (numeric) 1.6519988286245906 absolute error 8.43769498715119e-15 relative error 5.107567173141539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 1.6536550325326642 y[1] (numeric) 1.6536550325326729 absolute error 8.659739592076221e-15 relative error 5.236726778990507e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 1.6552954516523672 y[1] (numeric) 1.6552954516523766 absolute error 9.325873406851315e-15 relative error 5.633963047226366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 1.6569210534337175 y[1] (numeric) 1.6569210534337266 absolute error 9.103828801926284e-15 relative error 5.4944252069584e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 1.6585328078084536 y[1] (numeric) 1.6585328078084627 absolute error 9.103828801926284e-15 relative error 5.489085750408441e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 1.6601316870930356 y[1] (numeric) 1.660131687093045 absolute error 9.325873406851315e-15 relative error 5.617550390343633e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 1.6617186658914131 y[1] (numeric) 1.6617186658914227 absolute error 9.547918011776346e-15 relative error 5.745808967400903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 1.6632947209975666 y[1] (numeric) 1.6632947209975761 absolute error 9.547918011776346e-15 relative error 5.740364525446188e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 1.664860831297828 y[1] (numeric) 1.6648608312978375 absolute error 9.547918011776346e-15 relative error 5.734964648266335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 1.6664179776729928 y[1] (numeric) 1.6664179776730028 absolute error 9.992007221626409e-15 relative error 5.996099031276279e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 1.6679671429002343 y[1] (numeric) 1.6679671429002445 absolute error 1.021405182655144e-14 relative error 6.123652896897844e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 1.6695093115548243 y[1] (numeric) 1.6695093115548347 absolute error 1.0436096431476471e-14 relative error 6.250996241379014e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 1.6710454699116788 y[1] (numeric) 1.671045469911689 absolute error 1.021405182655144e-14 relative error 6.11237217087294e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 1.6725766058467295 y[1] (numeric) 1.6725766058467402 absolute error 1.0658141036401503e-14 relative error 6.372288718582129e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 1.674103708738138 y[1] (numeric) 1.6741037087381485 absolute error 1.0436096431476471e-14 relative error 6.233841055965833e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 1.6756277693673591 y[1] (numeric) 1.6756277693673693 absolute error 1.021405182655144e-14 relative error 6.095656811899102e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 1.6771497798200619 y[1] (numeric) 1.6771497798200725 absolute error 1.0658141036401503e-14 relative error 6.354913058239196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 1.678670733386924 y[1] (numeric) 1.6786707333869344 absolute error 1.0436096431476471e-14 relative error 6.216881145250187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 1.6801916244643018 y[1] (numeric) 1.6801916244643127 absolute error 1.0880185641326534e-14 relative error 6.475562360213217e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 1.6817134484547924 y[1] (numeric) 1.6817134484548037 absolute error 1.1324274851176597e-14 relative error 6.733771952398711e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 1.6832372016676946 y[1] (numeric) 1.6832372016677062 absolute error 1.1546319456101628e-14 relative error 6.859591413890998e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 1.6847638812193775 y[1] (numeric) 1.684763881219389 absolute error 1.1546319456101628e-14 relative error 6.853375469887671e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 1.6862944849335706 y[1] (numeric) 1.6862944849335826 absolute error 1.199040866595169e-14 relative error 7.110506956573505e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 1.6878300112415823 y[1] (numeric) 1.6878300112415945 absolute error 1.2212453270876722e-14 relative error 7.235594336833208e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 1.6893714590824571 y[1] (numeric) 1.689371459082469 absolute error 1.199040866595169e-14 relative error 7.097556077136525e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 1.6909198278030833 y[1] (numeric) 1.690919827803095 absolute error 1.176836406102666e-14 relative error 6.959741004584842e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 1.6924761170582578 y[1] (numeric) 1.69247611705827 absolute error 1.2212453270876722e-14 relative error 7.215731523646871e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 1.6940413267107235 y[1] (numeric) 1.6940413267107364 absolute error 1.2878587085651816e-14 relative error 7.602286250393806e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 1.6956164567311818 y[1] (numeric) 1.6956164567311944 absolute error 1.2656542480726785e-14 relative error 7.464272023595556e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 1.6972025070982972 y[1] (numeric) 1.6972025070983099 absolute error 1.2656542480726785e-14 relative error 7.457296597072345e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 1.6988004776987007 y[1] (numeric) 1.6988004776987138 absolute error 1.3100631690576847e-14 relative error 7.711695318289389e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 1.7004113682270017 y[1] (numeric) 1.700411368227015 absolute error 1.3322676295501878e-14 relative error 7.834972492211265e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 1.7020361780858186 y[1] (numeric) 1.7020361780858317 absolute error 1.3100631690576847e-14 relative error 7.697034798232296e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 1.7036759062858404 y[1] (numeric) 1.7036759062858537 absolute error 1.3322676295501878e-14 relative error 7.819959328148541e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 1.7053315513459264 y[1] (numeric) 1.70533155134594 absolute error 1.354472090042691e-14 relative error 7.942573331113701e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 1.7070041111932541 y[1] (numeric) 1.707004111193268 absolute error 1.3766765505351941e-14 relative error 8.064869565972224e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 1.7086945830635287 y[1] (numeric) 1.7086945830635427 absolute error 1.3988810110276972e-14 relative error 8.186840555903415e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 1.7104039634012593 y[1] (numeric) 1.7104039634012738 absolute error 1.4432899320127035e-14 relative error 8.438298570956415e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 1.7121332477601159 y[1] (numeric) 1.7121332477601305 absolute error 1.4654943925052066e-14 relative error 8.559464600213958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 1.7138834307033746 y[1] (numeric) 1.7138834307033894 absolute error 1.4876988529977098e-14 relative error 8.680280270795085e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 1.7156555057044618 y[1] (numeric) 1.715655505704477 absolute error 1.509903313490213e-14 relative error 8.800737143732328e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 1.7174504650476083 y[1] (numeric) 1.7174504650476237 absolute error 1.532107773982716e-14 relative error 8.920826569168301e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 1.719269299728622 y[1] (numeric) 1.7192692997286378 absolute error 1.5765166949677223e-14 relative error 9.169690258626542e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 1.7211129993557874 y[1] (numeric) 1.7211129993558034 absolute error 1.5987211554602254e-14 relative error 9.288879672971077e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 1.7229825520509077 y[1] (numeric) 1.7229825520509237 absolute error 1.5987211554602254e-14 relative error 9.278800609775352e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 1.7248789443504924 y[1] (numeric) 1.7248789443505084 absolute error 1.5987211554602254e-14 relative error 9.268599171533327e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 1.7268031611071037 y[1] (numeric) 1.7268031611071202 absolute error 1.6431300764452317e-14 relative error 9.515445150052732e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 1.7287561853908744 y[1] (numeric) 1.7287561853908908 absolute error 1.6431300764452317e-14 relative error 9.504695285146398e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 1.7307389983911992 y[1] (numeric) 1.730738998391216 absolute error 1.687538997430238e-14 relative error 9.750395634459513e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 1.7327525793186178 y[1] (numeric) 1.7327525793186351 absolute error 1.7319479184152442e-14 relative error 9.995356169640273e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 1.734797905306895 y[1] (numeric) 1.7347979053069122 absolute error 1.7319479184152442e-14 relative error 9.983571648991895e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 1.736875951315307 y[1] (numeric) 1.7368759513153247 absolute error 1.7763568394002505e-14 relative error 1.0227309774512366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 1.738987690031147 y[1] (numeric) 1.738987690031165 absolute error 1.7985612998927536e-14 relative error 1.0342576374767435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 1.7411340917724578 y[1] (numeric) 1.7411340917724756 absolute error 1.7763568394002505e-14 relative error 1.020229773108363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 1.7433161243909996 y[1] (numeric) 1.7433161243910176 absolute error 1.7985612998927536e-14 relative error 1.031689706031402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 1.7455347531754664 y[1] (numeric) 1.7455347531754848 absolute error 1.84297022087776e-14 relative error 1.0558198383189104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 1.747790940754958 y[1] (numeric) 1.7477909407549763 absolute error 1.84297022087776e-14 relative error 1.0544569020833173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 1.750085647002717 y[1] (numeric) 1.7500856470027357 absolute error 1.865174681370263e-14 relative error 1.0657619440309411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 1.752419828940144 y[1] (numeric) 1.752419828940163 absolute error 1.887379141862766e-14 relative error 1.077013116773647e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 1.7547944406410942 y[1] (numeric) 1.7547944406411138 absolute error 1.9539925233402755e-14 relative error 1.1135164769649068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 1.7572104331364726 y[1] (numeric) 1.7572104331364926 absolute error 1.9984014443252818e-14 relative error 1.1372578984511852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 1.75966875431913 y[1] (numeric) 1.7596687543191507 absolute error 2.0650148258027912e-14 relative error 1.173524744776075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 1.7621703488490763 y[1] (numeric) 1.7621703488490972 absolute error 2.0872192862952943e-14 relative error 1.1844594296224067e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 1.764716158059014 y[1] (numeric) 1.7647161580590351 absolute error 2.1094237467877974e-14 relative error 1.1953331628741487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 1.767307119860206 y[1] (numeric) 1.767307119860227 absolute error 2.1094237467877974e-14 relative error 1.193580743880358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 1.7699441686486854 y[1] (numeric) 1.7699441686487067 absolute error 2.1316282072803006e-14 relative error 1.2043477105313175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 1.772628235211817 y[1] (numeric) 1.7726282352118388 absolute error 2.1760371282653068e-14 relative error 1.2275767050530396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 1.7753602466352187 y[1] (numeric) 1.7753602466352405 absolute error 2.1760371282653068e-14 relative error 1.2256876498104977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 1.778141126210054 y[1] (numeric) 1.778141126210076 absolute error 2.19824158875781e-14 relative error 1.2362582229022294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 1.7809717933407034 y[1] (numeric) 1.7809717933407259 absolute error 2.2426505097428162e-14 relative error 1.2592285392325654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 1.7838531634528259 y[1] (numeric) 1.7838531634528487 absolute error 2.2870594307278225e-14 relative error 1.2820895113928496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 1.786786147901815 y[1] (numeric) 1.7867861479018379 absolute error 2.2870594307278225e-14 relative error 1.2799849794075624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 1.789771653881666 y[1] (numeric) 1.789771653881689 absolute error 2.3092638912203256e-14 relative error 1.2902561543043674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 1.7928105843342563 y[1] (numeric) 1.7928105843342796 absolute error 2.3314683517128287e-14 relative error 1.300454365946639e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 1.7959038378590526 y[1] (numeric) 1.7959038378590757 absolute error 2.3092638912203256e-14 relative error 1.2858505241423528e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 1.7990523086232506 y[1] (numeric) 1.7990523086232741 absolute error 2.353672812205332e-14 relative error 1.3082848124669105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 1.8022568862723602 y[1] (numeric) 1.8022568862723842 absolute error 2.398081733190338e-14 relative error 1.3305992899549036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 1.8055184558412416 y[1] (numeric) 1.8055184558412658 absolute error 2.4202861936828413e-14 relative error 1.340493743419068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 1.808837897665601 y[1] (numeric) 1.808837897665626 absolute error 2.5091040356528538e-14 relative error 1.3871359279297402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 1.8122160872939603 y[1] (numeric) 1.8122160872939856 absolute error 2.531308496145357e-14 relative error 1.3968027951485413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 1.815653895400101 y[1] (numeric) 1.8156538954001267 absolute error 2.5757174171303632e-14 relative error 1.4186169641999821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 1.8191521876959977 y[1] (numeric) 1.8191521876960237 absolute error 2.5979218776228663e-14 relative error 1.4280948538523322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 1.8227118248452487 y[1] (numeric) 1.822711824845275 absolute error 2.6201263381153694e-14 relative error 1.437487979394561e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 1.8263336623770101 y[1] (numeric) 1.8263336623770363 absolute error 2.6201263381153694e-14 relative error 1.434637269240946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 1.8300185506004423 y[1] (numeric) 1.830018550600469 absolute error 2.6645352591003757e-14 relative error 1.4560154366884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 1.8337673345196812 y[1] (numeric) 1.8337673345197085 absolute error 2.731148640577885e-14 relative error 1.4893648660686036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 1.8375808537493388 y[1] (numeric) 1.8375808537493663 absolute error 2.7533531010703882e-14 relative error 1.4983575255763784e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 1.8414599424305398 y[1] (numeric) 1.8414599424305682 absolute error 2.842170943040401e-14 relative error 1.5434334885878778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 1.845405429147512 y[1] (numeric) 1.8454054291475406 absolute error 2.864375403532904e-14 relative error 1.5521659134037048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 1.8494181368447253 y[1] (numeric) 1.8494181368447546 absolute error 2.930988785010413e-14 relative error 1.5848167197121498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 1.8534988827446002 y[1] (numeric) 1.8534988827446301 absolute error 2.9976021664879227e-14 relative error 1.617266778196905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 1.8576484782657847 y[1] (numeric) 1.8576484782658154 absolute error 3.064215547965432e-14 relative error 1.649513125769652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 1.8618677289420136 y[1] (numeric) 1.8618677289420444 absolute error 3.086420008457935e-14 relative error 1.6577010066186389e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 1.8661574343415568 y[1] (numeric) 1.8661574343415879 absolute error 3.108624468950438e-14 relative error 1.6657889692180583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 1.8705183879872607 y[1] (numeric) 1.8705183879872924 absolute error 3.175237850427948e-14 relative error 1.697517581660669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 1.8749513772771997 y[1] (numeric) 1.8749513772772322 absolute error 3.241851231905457e-14 relative error 1.7290321611503688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 1.8794571834059348 y[1] (numeric) 1.8794571834059675 absolute error 3.26405569239796e-14 relative error 1.7367012780162775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 1.8840365812863953 y[1] (numeric) 1.8840365812864284 absolute error 3.3084646133829665e-14 relative error 1.7560511543379856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 1.8886903394723886 y[1] (numeric) 1.8886903394724224 absolute error 3.375077994860476e-14 relative error 1.7869938360585431e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 1.893419220081745 y[1] (numeric) 1.8934192200817797 absolute error 3.4638958368304884e-14 relative error 1.8294394606815816e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 1.898223978720107 y[1] (numeric) 1.898223978720142 absolute error 3.5083047578154947e-14 relative error 1.8482037932009465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 1.9031053644053686 y[1] (numeric) 1.9031053644054041 absolute error 3.552713678800501e-14 relative error 1.8667982053166867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 1.9080641194927752 y[1] (numeric) 1.9080641194928112 absolute error 3.597122599785507e-14 relative error 1.8852210274473052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 1.9131009796006877 y[1] (numeric) 1.9131009796007246 absolute error 3.68594044175552e-14 relative error 1.92668368322349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 1.9182166735370223 y[1] (numeric) 1.9182166735370594 absolute error 3.708144902248023e-14 relative error 1.9331209833613483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 1.9234119232263687 y[1] (numeric) 1.9234119232264062 absolute error 3.752553823233029e-14 relative error 1.9509881257980464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 1.9286874436378003 y[1] (numeric) 1.928687443637838 absolute error 3.774758283725532e-14 relative error 1.9571643379425745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 1.9340439427133762 y[1] (numeric) 1.934043942713415 absolute error 3.885780586188048e-14 relative error 2.0091480345252516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 1.9394821212973485 y[1] (numeric) 1.9394821212973878 absolute error 3.930189507173054e-14 relative error 2.026411826134335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 1.945002673066078 y[1] (numeric) 1.9450026730661178 absolute error 3.9745984281580604e-14 relative error 2.043492527386892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 1.950606284458668 y[1] (numeric) 1.9506062844587084 absolute error 4.04121180963557e-14 relative error 2.0717721673685094e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 1.956293634608319 y[1] (numeric) 1.9562936346083601 absolute error 4.107825191113079e-14 relative error 2.0997999065388417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 1.9620653952744187 y[1] (numeric) 1.96206539527446 absolute error 4.1300296516055823e-14 relative error 2.104939856516835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 1.9679222307753639 y[1] (numeric) 1.967922230775406 absolute error 4.218847493575595e-14 relative error 2.1438080365164447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 1.9738647979221315 y[1] (numeric) 1.9738647979221744 absolute error 4.285460875053104e-14 relative error 2.171101526084445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 1.9798937459525963 y[1] (numeric) 1.9798937459526402 absolute error 4.39648317751562e-14 relative error 2.2205652129075833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 1.9860097164666084 y[1] (numeric) 1.986009716466653 absolute error 4.463096558993129e-14 relative error 2.247268239419094e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 1.992213343361834 y[1] (numeric) 1.9922133433618794 absolute error 4.529709940470639e-14 relative error 2.273707259096464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 1.9985052527703662 y[1] (numeric) 1.998505252770412 absolute error 4.574118861455645e-14 relative error 2.28876999703399e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 2.004886062996111 y[1] (numeric) 2.0048860629961576 absolute error 4.6629367034256575e-14 relative error 2.325786382323065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 2.0113563844529594 y[1] (numeric) 2.0113563844530065 absolute error 4.707345624410664e-14 relative error 2.340383663878119e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 2.0179168196037445 y[1] (numeric) 2.017916819603793 absolute error 4.8405723873656825e-14 relative error 2.398796789015426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 2.0245679628999986 y[1] (numeric) 2.024567962900047 absolute error 4.8405723873656825e-14 relative error 2.3909162231491744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 2.0313104007225045 y[1] (numeric) 2.0313104007225533 absolute error 4.884981308350689e-14 relative error 2.404842365112284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 2.0381447113226616 y[1] (numeric) 2.038144711322711 absolute error 4.929390229335695e-14 relative error 2.4185673382027662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 2.0450714647646593 y[1] (numeric) 2.0450714647647095 absolute error 5.0182080713057076e-14 relative error 2.4538057264826138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 2.0520912228684716 y[1] (numeric) 2.052091222868522 absolute error 5.062616992290714e-14 relative error 2.467052602668435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 2.0592045391536753 y[1] (numeric) 2.059204539153727 absolute error 5.1514348342607263e-14 relative error 2.501662528569379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 2.066411958784099 y[1] (numeric) 2.0664119587841507 absolute error 5.1958437552457326e-14 relative error 2.5144278386305065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 2.0737140185133063 y[1] (numeric) 2.0737140185133587 absolute error 5.240252676230739e-14 relative error 2.526989078266249e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 2.0811112466309223 y[1] (numeric) 2.0811112466309756 absolute error 5.3290705182007514e-14 relative error 2.560685079583275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 2.0886041629098036 y[1] (numeric) 2.0886041629098573 absolute error 5.3734794391857577e-14 relative error 2.572761049992129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 2.096193278554062 y[1] (numeric) 2.096193278554117 absolute error 5.5067062021407764e-14 relative error 2.627003081480759e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 2.103879096147945 y[1] (numeric) 2.103879096148001 absolute error 5.595524044110789e-14 relative error 2.659622434747225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 2.111662109605578 y[1] (numeric) 2.111662109605635 absolute error 5.728750807065808e-14 relative error 2.7129107355796804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 2.1195428041215707 y[1] (numeric) 2.1195428041216293 absolute error 5.861977570020827e-14 relative error 2.7656802017028766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 2.127521656122502 y[1] (numeric) 2.127521656122562 absolute error 5.995204332975845e-14 relative error 2.8179286992088053e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 2.1355991332192747 y[1] (numeric) 2.1355991332193356 absolute error 6.084022174945858e-14 relative error 2.848859638641357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 2.1437756941603565 y[1] (numeric) 2.1437756941604182 absolute error 6.17284001691587e-14 relative error 2.879424388349342e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 2.1520517887859043 y[1] (numeric) 2.152051788785967 absolute error 6.261657858885883e-14 relative error 2.9096222923233846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 2.160427857982782 y[1] (numeric) 2.160427857982845 absolute error 6.306066779870889e-14 relative error 2.918897178894435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 2.1689043336404703 y[1] (numeric) 2.168904333640533 absolute error 6.261657858885883e-14 relative error 2.88701431490793e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 2.1774816386078792 y[1] (numeric) 2.177481638607943 absolute error 6.394884621840902e-14 relative error 2.9368259683371282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 2.1861601866510654 y[1] (numeric) 2.18616018665113 absolute error 6.483702463810914e-14 relative error 2.9657947772542537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 2.194940382411851 y[1] (numeric) 2.1949403824119167 absolute error 6.572520305780927e-14 relative error 2.9943958197893695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 2.2038226213673653 y[1] (numeric) 2.2038226213674315 absolute error 6.616929226765933e-14 relative error 3.0024781316839595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 2.2128072897904927 y[1] (numeric) 2.21280728979056 absolute error 6.750155989720952e-14 relative error 3.050494284280875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 2.2218947647112506 y[1] (numeric) 2.221894764711318 absolute error 6.750155989720952e-14 relative error 3.0380178651702153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 2.2310854138790805 y[1] (numeric) 2.2310854138791494 absolute error 6.88338275267597e-14 relative error 3.0852170472076034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 2.2403795957260804 y[1] (numeric) 2.24037959572615 absolute error 6.972200594645983e-14 relative error 3.112062173725688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 2.2497776593311554 y[1] (numeric) 2.2497776593312255 absolute error 7.016609515630989e-14 relative error 3.118801312000308e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 2.2592799443851144 y[1] (numeric) 2.259279944385186 absolute error 7.149836278586008e-14 relative error 3.1646526568587354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 2.2688867811567004 y[1] (numeric) 2.2688867811567732 absolute error 7.283063041541027e-14 relative error 3.2099720012596004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 2.2785984904595615 y[1] (numeric) 2.278598490459636 absolute error 7.460698725481052e-14 relative error 3.274248954661746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 2.2884153836201744 y[1] (numeric) 2.28841538362025 absolute error 7.549516567451064e-14 relative error 3.299014952219057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 2.2983377624467076 y[1] (numeric) 2.2983377624467836 absolute error 7.593925488436071e-14 relative error 3.3040946428830884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 2.308365919198842 y[1] (numeric) 2.3083659191989194 absolute error 7.72715225139109e-14 relative error 3.3474555256269466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 2.318500136558548 y[1] (numeric) 2.318500136558626 absolute error 7.815970093361102e-14 relative error 3.371132039251329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 2.328740687601813 y[1] (numeric) 2.328740687601892 absolute error 7.904787935331115e-14 relative error 3.3944474700064755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 2.3390878357713376 y[1] (numeric) 2.339087835771419 absolute error 8.126832540256146e-14 relative error 3.47435971235182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 2.3495418348501906 y[1] (numeric) 2.349541834850272 absolute error 8.126832540256146e-14 relative error 3.4589009736761385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 2.360102928936429 y[1] (numeric) 2.3601029289365116 absolute error 8.260059303211165e-14 relative error 3.4998724851943333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 2.3707713524186915 y[1] (numeric) 2.370771352418774 absolute error 8.260059303211165e-14 relative error 3.4841231292862323e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 2.381547329952758 y[1] (numeric) 2.381547329952842 absolute error 8.393286066166183e-14 relative error 3.5242995008344757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 2.392431076439083 y[1] (numeric) 2.392431076439169 absolute error 8.615330671091215e-14 relative error 3.601077897681531e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 2.40342279700131 y[1] (numeric) 2.403422797001397 absolute error 8.704148513061227e-14 relative error 3.6215635983486444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 2.414522686965754 y[1] (numeric) 2.414522686965842 absolute error 8.79296635503124e-14 relative error 3.641699621419194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 2.4257309318418727 y[1] (numeric) 2.425730931841962 absolute error 8.926193117986259e-14 relative error 3.67979523236262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 2.437047707303716 y[1] (numeric) 2.4370477073038064 absolute error 9.059419880941277e-14 relative error 3.717374860488216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 2.4484731791723533 y[1] (numeric) 2.4484731791724452 absolute error 9.192646643896296e-14 relative error 3.754440408860695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 2.4600075033993 y[1] (numeric) 2.4600075033993933 absolute error 9.325873406851315e-14 relative error 3.790993886792861e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 2.471650826050916 y[1] (numeric) 2.471650826051011 absolute error 9.50350909079134e-14 relative error 3.8450047193662814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 2.4834032832938013 y[1] (numeric) 2.483403283293897 absolute error 9.547918011776346e-14 relative error 3.8446909030065785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 2.495265001381179 y[1] (numeric) 2.495265001381276 absolute error 9.681144774731365e-14 relative error 3.8798062608070316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 2.5072360966402716 y[1] (numeric) 2.5072360966403697 absolute error 9.814371537686384e-14 relative error 3.914418570647482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 2.519316675460666 y[1] (numeric) 2.519316675460766 absolute error 9.992007221626409e-14 relative error 3.966157696232981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 2.5315068342836766 y[1] (numeric) 2.5315068342837783 absolute error 1.0169642905566434e-13 relative error 4.017229093692757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 2.543806659592701 y[1] (numeric) 2.5438066595928044 absolute error 1.0347278589506459e-13 relative error 4.06763562414889e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 2.55621622790457 y[1] (numeric) 2.5562162279046747 absolute error 1.0480505352461478e-13 relative error 4.100007361682684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 2.568735605761898 y[1] (numeric) 2.5687356057620048 absolute error 1.0658141036401503e-13 relative error 4.149177911691013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 2.5813648497264285 y[1] (numeric) 2.5813648497265373 absolute error 1.0880185641326534e-13 relative error 4.214896488762373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 2.594104006373376 y[1] (numeric) 2.5941040063734864 absolute error 1.1057821325266559e-13 relative error 4.26267462603617e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 2.6069531122867717 y[1] (numeric) 2.6069531122868836 absolute error 1.1191048088221578e-13 relative error 4.292769223764441e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 2.619912194055802 y[1] (numeric) 2.619912194055916 absolute error 1.141309269314661e-13 relative error 4.356288244713411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 2.632981268272152 y[1] (numeric) 2.6329812682722675 absolute error 1.1546319456101628e-13 relative error 4.3852645650148125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 2.646160341528346 y[1] (numeric) 2.6461603415284634 absolute error 1.1723955140041653e-13 relative error 4.430553567011073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 2.6594494104170856 y[1] (numeric) 2.6594494104172046 absolute error 1.1901590823981678e-13 relative error 4.475208581657183e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 2.672848461531594 y[1] (numeric) 2.6728484615317143 absolute error 1.2034817586936697e-13 relative error 4.502618745561248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 2.6863574714669545 y[1] (numeric) 2.686357471467077 absolute error 1.2256862191861728e-13 relative error 4.562632606437353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 2.6999764068224525 y[1] (numeric) 2.699976406822577 absolute error 1.2434497875801753e-13 relative error 4.6054098266864716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 2.7137052242049142 y[1] (numeric) 2.7137052242050395 absolute error 1.2523315717771766e-13 relative error 4.6148401108823306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 2.7275438702330455 y[1] (numeric) 2.727543870233172 absolute error 1.2656542480726785e-13 relative error 4.6402709114428984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 2.7414922815427722 y[1] (numeric) 2.7414922815428997 absolute error 1.2745360322696797e-13 relative error 4.649059349357116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 2.755550384793574 y[1] (numeric) 2.755550384793703 absolute error 1.2922996006636822e-13 relative error 4.6898057382481576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 2.7697180966758204 y[1] (numeric) 2.769718096675951 absolute error 1.305622276959184e-13 relative error 4.7139175590691884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 2.7839953239191 y[1] (numeric) 2.7839953239192323 absolute error 1.3233858453531866e-13 relative error 4.753549095370689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 2.798381963301549 y[1] (numeric) 2.7983819633016833 absolute error 1.341149413747189e-13 relative error 4.792588829313681e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 2.8128779016601726 y[1] (numeric) 2.812877901660309 absolute error 1.3633538742396922e-13 relative error 4.846829197367703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 2.82748301590216 y[1] (numeric) 2.827483015902298 absolute error 1.3811174426336947e-13 relative error 4.884617997229681e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 2.8421971730171958 y[1] (numeric) 2.8421971730173348 absolute error 1.389999226830696e-13 relative error 4.890579865559124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 2.8570202300907597 y[1] (numeric) 2.8570202300908996 absolute error 1.3988810110276972e-13 relative error 4.8962936849182155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 2.871952034318417 y[1] (numeric) 2.8719520343185594 absolute error 1.425526363618701e-13 relative error 4.96361480478908e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 2.886992423021101 y[1] (numeric) 2.8869924230212454 absolute error 1.4432899320127035e-13 relative error 4.999285486528464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 2.9021412236613795 y[1] (numeric) 2.902141223661525 absolute error 1.4566126083082054e-13 relative error 5.0190962329204774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 2.917398253860708 y[1] (numeric) 2.917398253860856 absolute error 1.4788170688007085e-13 relative error 5.068958503844073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 2.932763321417668 y[1] (numeric) 2.9327633214178173 absolute error 1.4921397450962104e-13 relative error 5.087828718394245e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 2.948236224327188 y[1] (numeric) 2.9482362243273386 absolute error 1.5054624213917123e-13 relative error 5.10631546064553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 2.963816750800741 y[1] (numeric) 2.963816750800893 absolute error 1.5187850976872141e-13 relative error 5.124423084783769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 2.9795046792875266 y[1] (numeric) 2.9795046792876807 absolute error 1.5409895581797173e-13 relative error 5.171965558208843e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 2.9952997784966233 y[1] (numeric) 2.995299778496779 absolute error 1.5587531265737198e-13 relative error 5.2039970682202516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 3.0112018074201186 y[1] (numeric) 3.011201807420276 absolute error 1.5765166949677223e-13 relative error 5.235506604316305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 3.0272105153572095 y[1] (numeric) 3.027210515357369 absolute error 1.5942802633617248e-13 relative error 5.266499489460185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 3.043325641939272 y[1] (numeric) 3.043325641939433 absolute error 1.6120438317557273e-13 relative error 5.296981070775254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 3.059546917155897 y[1] (numeric) 3.0595469171560605 absolute error 1.6342482922482304e-13 relative error 5.3414715854967176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 3.075874061381895 y[1] (numeric) 3.075874061382059 absolute error 1.6431300764452317e-13 relative error 5.3419939947314494e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 3.0923067854052517 y[1] (numeric) 3.0923067854054183 absolute error 1.6653345369377348e-13 relative error 5.385411773494169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 3.1088447904560557 y[1] (numeric) 3.108844790456224 absolute error 1.6830981053317373e-13 relative error 5.4139020079057506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 3.1254877682363706 y[1] (numeric) 3.1254877682365403 absolute error 1.6964207816272392e-13 relative error 5.42769931422411e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 3.142235400951067 y[1] (numeric) 3.1422354009512383 absolute error 1.7141843500212417e-13 relative error 5.455302137778748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 3.1590873613396 y[1] (numeric) 3.1590873613397736 absolute error 1.7363888105137448e-13 relative error 5.496488738372323e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 3.176043312708737 y[1] (numeric) 3.1760433127089116 absolute error 1.745270594710746e-13 relative error 5.495109552590658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 3.193102908966225 y[1] (numeric) 3.1931029089664023 absolute error 1.7719159473017498e-13 relative error 5.549197748454064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 3.2102657946554007 y[1] (numeric) 3.2102657946555793 absolute error 1.7852386235972517e-13 relative error 5.561030574382345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 3.2275316049907348 y[1] (numeric) 3.2275316049909155 absolute error 1.8074430840897548e-13 relative error 5.60007865235124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 3.244899965894311 y[1] (numeric) 3.2448999658944935 absolute error 1.8252066524837574e-13 relative error 5.6248472115248124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 3.2623704940332336 y[1] (numeric) 3.262370494033418 absolute error 1.8429702208777599e-13 relative error 5.649175114379224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 3.27994279685796 y[1] (numeric) 3.2799427968581454 absolute error 1.851852005074761e-13 relative error 5.645988725317872e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 3.2976164726415553 y[1] (numeric) 3.2976164726417423 absolute error 1.8696155734687636e-13 relative error 5.669596779916338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 3.3153911105198652 y[1] (numeric) 3.3153911105200544 absolute error 1.8918200339612667e-13 relative error 5.7061745383778344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 3.3332662905326016 y[1] (numeric) 3.3332662905327926 absolute error 1.9095836023552692e-13 relative error 5.728866030832925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 3.351241583665338 y[1] (numeric) 3.3512415836655314 absolute error 1.9317880628477724e-13 relative error 5.7643951193006104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 3.369316551892412 y[1] (numeric) 3.369316551892608 absolute error 1.9584334154387761e-13 relative error 5.812553926815815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 3.3874907482207255 y[1] (numeric) 3.387490748220923 absolute error 1.9761969838327786e-13 relative error 5.8338077672116835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 3.405763716734445 y[1] (numeric) 3.4057637167346444 absolute error 1.9939605522267811e-13 relative error 5.854664968181217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 3.424134992640592 y[1] (numeric) 3.4241349926407936 absolute error 2.0161650127192843e-13 relative error 5.888100256130607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 3.4426041023155234 y[1] (numeric) 3.442604102315727 absolute error 2.0383694732117874e-13 relative error 5.9210104113939895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 3.4611705633522916 y[1] (numeric) 3.461170563352497 absolute error 2.05613304160579e-13 relative error 5.940571271975506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 3.4798338846088854 y[1] (numeric) 3.4798338846090924 absolute error 2.0694557179012918e-13 relative error 5.946995708773286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 3.4985935662573446 y[1] (numeric) 3.4985935662575542 absolute error 2.0961010704922955e-13 relative error 5.991267721716588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 3.517449099833742 y[1] (numeric) 3.5174490998339536 absolute error 2.113864638886298e-13 relative error 6.00965238981344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 3.536399968289029 y[1] (numeric) 3.5363999682892424 absolute error 2.1360690993788012e-13 relative error 6.040236168230338e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 3.5554456460407384 y[1] (numeric) 3.5554456460409547 absolute error 2.162714451969805e-13 relative error 6.082822428682473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 3.574585599025547 y[1] (numeric) 3.5745855990257653 absolute error 2.184918912462308e-13 relative error 6.112369817239598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 3.5938192847526764 y[1] (numeric) 3.593819284752897 absolute error 2.2071233729548112e-13 relative error 6.1414422876488726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 3.6131461523581447 y[1] (numeric) 3.6131461523583686 absolute error 2.2382096176443156e-13 relative error 6.1946279593022626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 3.6325656426598516 y[1] (numeric) 3.6325656426600776 absolute error 2.2604140781368187e-13 relative error 6.222637938296662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 3.652077188213495 y[1] (numeric) 3.6520771882137226 absolute error 2.278177646530821e-13 relative error 6.238032574676355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 3.6716802133693167 y[1] (numeric) 3.6716802133695468 absolute error 2.3003821070233244e-13 relative error 6.265202777320248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 3.6913741343296667 y[1] (numeric) 3.6913741343298985 absolute error 2.318145675417327e-13 relative error 6.2798990052475116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 3.711158359207381 y[1] (numeric) 3.711158359207614 absolute error 2.3314683517128287e-13 relative error 6.28231976662612e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 3.731032288084971 y[1] (numeric) 3.731032288085207 absolute error 2.362554596402333e-13 relative error 6.332174084762378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 3.7509953130746148 y[1] (numeric) 3.7509953130748532 absolute error 2.384759056894836e-13 relative error 6.35767005248561e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 3.771046818378945 y[1] (numeric) 3.7710468183791854 absolute error 2.402522625288839e-13 relative error 6.3709700276848e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 3.791186180352629 y[1] (numeric) 3.7911861803528715 absolute error 2.424727085781342e-13 relative error 6.395695094973709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 3.8114127675647307 y[1] (numeric) 3.8114127675649754 absolute error 2.446931546273845e-13 relative error 6.420011936511644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 3.8317259408618547 y[1] (numeric) 3.831725940862102 absolute error 2.473576898864849e-13 relative error 6.455516226999463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 3.852125053432063 y[1] (numeric) 3.852125053432312 absolute error 2.4913404672588513e-13 relative error 6.467444417566828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 3.8726094508695503 y[1] (numeric) 3.8726094508698017 absolute error 2.5135449277513544e-13 relative error 6.490571692394559e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 3.8931784712400894 y[1] (numeric) 3.893178471240343 absolute error 2.5357493882438575e-13 relative error 6.51331401058567e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 3.9138314451472227 y[1] (numeric) 3.9138314451474785 absolute error 2.5579538487363607e-13 relative error 6.535677084172798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 3.934567695799198 y[1] (numeric) 3.934567695799456 absolute error 2.580158309228864e-13 relative error 6.557666581727923e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 3.955386539076652 y[1] (numeric) 3.9553865390769127 absolute error 2.6068036618198676e-13 relative error 6.5905155818940556e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 3.9762872836010184 y[1] (numeric) 3.9762872836012817 absolute error 2.6334490144108713e-13 relative error 6.622884179600722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 3.9972692308036657 y[1] (numeric) 3.9972692308039317 absolute error 2.660094367001875e-13 relative error 6.6547790839373944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 4.018331674995755 y[1] (numeric) 4.018331674996023 absolute error 2.682298827494378e-13 relative error 6.675155374020268e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 4.039473903438806 y[1] (numeric) 4.039473903439076 absolute error 2.7000623958883807e-13 relative error 6.6841931905781505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 4.060695196415972 y[1] (numeric) 4.060695196416245 absolute error 2.7267077484793845e-13 relative error 6.714879144058918e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 4.081994827304012 y[1] (numeric) 4.081994827304287 absolute error 2.753353101070388e-13 relative error 6.745116585286963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 4.103372062645947 y[1] (numeric) 4.1033720626462244 absolute error 2.7711166694643907e-13 relative error 6.7532668916147754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 4.124826162224414 y[1] (numeric) 4.124826162224694 absolute error 2.7977620220553945e-13 relative error 6.782739228328188e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 4.1463563791356775 y[1] (numeric) 4.14635637913596 absolute error 2.824407374646398e-13 relative error 6.81178151704161e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 4.167961959864336 y[1] (numeric) 4.167961959864611 absolute error 2.753353101070388e-13 relative error 6.605993834838185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 4.18964214435864 y[1] (numeric) 4.189642144358909 absolute error 2.6911806116913795e-13 relative error 6.423414026696907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 4.211396166106528 y[1] (numeric) 4.211396166106792 absolute error 2.637889906509372e-13 relative error 6.263694514753105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 4.233223252212268 y[1] (numeric) 4.2332232522125235 absolute error 2.5579538487363607e-13 relative error 6.0425677937008945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 4.255122623473739 y[1] (numeric) 4.255122623473989 absolute error 2.495781359357352e-13 relative error 5.865357077112574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 4.277093494460364 y[1] (numeric) 4.2770934944606065 absolute error 2.424727085781342e-13 relative error 5.6691000300129445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 4.299135073591639 y[1] (numeric) 4.299135073591875 absolute error 2.362554596402333e-13 relative error 5.495418394539014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 4.321246563216298 y[1] (numeric) 4.321246563216527 absolute error 2.291500322826323e-13 relative error 5.302868719253924e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 4.343427159692076 y[1] (numeric) 4.343427159692298 absolute error 2.220446049250313e-13 relative error 5.112198196522145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 4.365676053466071 y[1] (numeric) 4.365676053466286 absolute error 2.149391775674303e-13 relative error 4.923388151917093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 4.387992429155702 y[1] (numeric) 4.387992429155908 absolute error 2.0605739337042905e-13 relative error 4.695937759630018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 4.410375465630241 y[1] (numeric) 4.410375465630439 absolute error 1.9806378759312793e-13 relative error 4.4908599990324104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 4.432824336092931 y[1] (numeric) 4.432824336093123 absolute error 1.9184653865522705e-13 relative error 4.327862421553108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 4.455338208163664 y[1] (numeric) 4.455338208163848 absolute error 1.8385293287792592e-13 relative error 4.12657635151123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 4.4779162439622135 y[1] (numeric) 4.47791624396239 absolute error 1.7674750552032492e-13 relative error 3.94709270765486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 4.500557600192027 y[1] (numeric) 4.500557600192197 absolute error 1.6964207816272392e-13 relative error 3.769356893809908e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 4.523261428224555 y[1] (numeric) 4.523261428224717 absolute error 1.616484723854228e-13 relative error 3.5737150052118948e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 4.546026874184109 y[1] (numeric) 4.546026874184264 absolute error 1.5543122344752192e-13 relative error 3.4190564145183963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 4.568853079033251 y[1] (numeric) 4.568853079033399 absolute error 1.4832579608992091e-13 relative error 3.24645580683251e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 4.591739178658698 y[1] (numeric) 4.591739178658839 absolute error 1.412203687323199e-13 relative error 3.0755311492577433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 4.6146843039577305 y[1] (numeric) 4.614684303957864 absolute error 1.3322676295501878e-13 relative error 2.887017923214344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 4.637687580925101 y[1] (numeric) 4.637687580925226 absolute error 1.2523315717771766e-13 relative error 2.7003362126591725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 4.660748130740436 y[1] (numeric) 4.660748130740553 absolute error 1.1723955140041653e-13 relative error 2.515466361015117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 4.683865069856118 y[1] (numeric) 4.683865069856227 absolute error 1.092459456231154e-13 relative error 2.3323888283244523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 4.7070375100856365 y[1] (numeric) 4.707037510085738 absolute error 1.0125233984581428e-13 relative error 2.1510841931653133e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 4.730264558692408 y[1] (numeric) 4.730264558692502 absolute error 9.414691248821327e-14 relative error 1.9903096606976757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 4.753545318479048 y[1] (numeric) 4.7535453184791345 absolute error 8.615330671091215e-14 relative error 1.8124010804314346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 4.776878887877093 y[1] (numeric) 4.77687888787717 absolute error 7.72715225139109e-14 relative error 1.617615274065518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 4.80026436103715 y[1] (numeric) 4.800264361037218 absolute error 6.838973831690964e-14 relative error 1.424707748848509e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 4.823700827919486 y[1] (numeric) 4.823700827919546 absolute error 5.950795411990839e-14 relative error 1.2336576467486855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 4.847187374385033 y[1] (numeric) 4.8471873743850855 absolute error 5.240252676230739e-14 relative error 1.0810914188964223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 4.870723082286795 y[1] (numeric) 4.870723082286838 absolute error 4.263256414560601e-14 relative error 8.752820356518833e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 4.894307029561665 y[1] (numeric) 4.8943070295617 absolute error 3.552713678800501e-14 relative error 7.258869656811626e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 4.917938290322631 y[1] (numeric) 4.91793829032266 absolute error 2.842170943040401e-14 relative error 5.779191960649725e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 4.941615934951365 y[1] (numeric) 4.941615934951386 absolute error 2.1316282072803006e-14 relative error 4.3136258166151475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 4.9653390301911795 y[1] (numeric) 4.965339030191194 absolute error 1.4210854715202004e-14 relative error 2.862010958122802e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 4.989106639240359 y[1] (numeric) 4.989106639240365 absolute error 6.217248937900877e-15 relative error 1.246164772065789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 5.012917821845834 y[1] (numeric) 5.012917821845832 absolute error 1.7763568394002505e-15 relative error 3.543558666888675e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 5.036771634397206 y[1] (numeric) 5.036771634397198 absolute error 7.993605777301127e-15 relative error 1.5870494748483454e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 5.060667130021112 y[1] (numeric) 5.060667130021095 absolute error 1.687538997430238e-14 relative error 3.3346176582517057e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 5.084603358675905 y[1] (numeric) 5.0846033586758805 absolute error 2.4868995751603507e-14 relative error 4.89103947688846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 5.108579367246664 y[1] (numeric) 5.10857936724663 absolute error 3.375077994860476e-14 relative error 6.606686031932041e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 5.132594199640499 y[1] (numeric) 5.132594199640456 absolute error 4.263256414560601e-14 relative error 8.306240954835688e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 5.156646896882161 y[1] (numeric) 5.15664689688211 absolute error 5.062616992290714e-14 relative error 9.817653008880053e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 5.180736497209941 y[1] (numeric) 5.180736497209882 absolute error 5.950795411990839e-14 relative error 1.1486388885432814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 5.2048620361718445 y[1] (numeric) 5.204862036171776 absolute error 6.838973831690964e-14 relative error 1.3139587147868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 5.2290225467220335 y[1] (numeric) 5.229022546721957 absolute error 7.638334409421077e-14 relative error 1.4607575968876614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 5.253217059317532 y[1] (numeric) 5.253217059317446 absolute error 8.526512829121202e-14 relative error 1.623103087658997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 5.277444602015179 y[1] (numeric) 5.277444602015087 absolute error 9.237055564881302e-14 relative error 1.7502894414759287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 5.3017042005688255 y[1] (numeric) 5.301704200568724 absolute error 1.0125233984581428e-13 relative error 1.9098074131512432e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 5.325994878526753 y[1] (numeric) 5.325994878526642 absolute error 1.1102230246251565e-13 relative error 2.0845364104673344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 5.35031565732932 y[1] (numeric) 5.350315657329202 absolute error 1.1812772982011666e-13 relative error 2.207864682867733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 5.374665556406817 y[1] (numeric) 5.37466555640669 absolute error 1.270095140171179e-13 relative error 2.363114740520319e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 5.399043593277525 y[1] (numeric) 5.399043593277391 absolute error 1.341149413747189e-13 relative error 2.48404998140242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 5.4234487836459575 y[1] (numeric) 5.423448783645816 absolute error 1.412203687323199e-13 relative error 2.603884988425822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 5.4478801415012965 y[1] (numeric) 5.447880141501146 absolute error 1.5010215292932116e-13 relative error 2.755239635062104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 5.472336679215986 y[1] (numeric) 5.472336679215827 absolute error 1.5898393712632242e-13 relative error 2.905229455821783e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 5.496817407644497 y[1] (numeric) 5.496817407644331 absolute error 1.6608936448392342e-13 relative error 3.021555059350175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 5.5213213362222415 y[1] (numeric) 5.52132133622207 absolute error 1.7141843500212417e-13 relative error 3.104663260179145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 5.5458474730646286 y[1] (numeric) 5.54584747306445 absolute error 1.7852386235972517e-13 relative error 3.2190546751743444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 5.5703948250662485 y[1] (numeric) 5.570394825066062 absolute error 1.865174681370263e-13 relative error 3.3483706989263198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 5.594962398000187 y[1] (numeric) 5.594962397999992 absolute error 1.9539925233402755e-13 relative error 3.492414040242152e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 5.619549196617445 y[1] (numeric) 5.619549196617242 absolute error 2.0339285811132868e-13 relative error 3.6193803274069777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 5.644154224746461 y[1] (numeric) 5.6441542247462495 absolute error 2.113864638886298e-13 relative error 3.7452283454945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 5.668776485392731 y[1] (numeric) 5.668776485392511 absolute error 2.1938006966593093e-13 relative error 3.86997212240116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 5.693414980838505 y[1] (numeric) 5.693414980838277 absolute error 2.282618538629322e-13 relative error 4.0092256515845014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 5.718068712742558 y[1] (numeric) 5.718068712742322 absolute error 2.362554596402333e-13 relative error 4.131735232802372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 5.742736682240023 y[1] (numeric) 5.742736682239778 absolute error 2.4513724383723456e-13 relative error 4.268648510305993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 5.767417890042278 y[1] (numeric) 5.767417890042025 absolute error 2.531308496145357e-13 relative error 4.388980553179234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 5.792111336536873 y[1] (numeric) 5.792111336536611 absolute error 2.6201263381153694e-13 relative error 4.5236118331971735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 5.81681602188749 y[1] (numeric) 5.816816021887221 absolute error 2.6911806116913795e-13 relative error 4.6265527421961025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 5.841530946133928 y[1] (numeric) 5.84153094613365 absolute error 2.779998453661392e-13 relative error 4.7590237547252315e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 5.866255109292095 y[1] (numeric) 5.866255109291809 absolute error 2.859934511434403e-13 relative error 4.875230378072533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 5.890987511454007 y[1] (numeric) 5.890987511453713 absolute error 2.9398705692074145e-13 relative error 4.990454594397534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 5.915727152887781 y[1] (numeric) 5.915727152887478 absolute error 3.028688411177427e-13 relative error 5.119722956963901e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 5.9404730341376 y[1] (numeric) 5.94047303413729 absolute error 3.099742684753437e-13 relative error 5.21800649029196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 5.965224156123667 y[1] (numeric) 5.96522415612335 absolute error 3.170796958329447e-13 relative error 5.315469922575215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 5.989979520242104 y[1] (numeric) 5.989979520241778 absolute error 3.2596148002994596e-13 relative error 5.441779540788333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 6.014738128464816 y[1] (numeric) 6.014738128464483 absolute error 3.3306690738754696e-13 relative error 5.537513026731855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 6.039498983439293 y[1] (numeric) 6.03949898343895 absolute error 3.4283687000424834e-13 relative error 5.676577990067219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 6.06426108858834 y[1] (numeric) 6.0642610885879895 absolute error 3.5083047578154947e-13 relative error 5.785213905808548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 6.089023448209742 y[1] (numeric) 6.089023448209383 absolute error 3.597122599785507e-13 relative error 5.907552549897162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 6.113785067575826 y[1] (numeric) 6.113785067575458 absolute error 3.6770586575585185e-13 relative error 6.014373447734739e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 6.138544953032935 y[1] (numeric) 6.138544953032558 absolute error 3.765876499528531e-13 relative error 6.134803163195677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 6.163302112100794 y[1] (numeric) 6.163302112100412 absolute error 3.8191672047105385e-13 relative error 6.19662501569107e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 6.188055553571758 y[1] (numeric) 6.188055553571367 absolute error 3.907985046680551e-13 relative error 6.315368394559507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 6.212804287609927 y[1] (numeric) 6.2128042876095275 absolute error 3.9968028886505635e-13 relative error 6.433170439025914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 6.237547325850134 y[1] (numeric) 6.237547325849725 absolute error 4.085620730620576e-13 relative error 6.55004365848837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 6.262283681496777 y[1] (numeric) 6.262283681496362 absolute error 4.156675004196586e-13 relative error 6.637634472673841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 6.287012369422504 y[1] (numeric) 6.2870123694220785 absolute error 4.2543746303636e-13 relative error 6.766925815280982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 6.311732406266714 y[1] (numeric) 6.311732406266281 absolute error 4.32542890393961e-13 relative error 6.852997918043915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 6.336442810533903 y[1] (numeric) 6.336442810533462 absolute error 4.4142467459096224e-13 relative error 6.9664429679239574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 6.361142602691808 y[1] (numeric) 6.3611426026913565 absolute error 4.511946372076636e-13 relative error 7.092981015969273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 6.385830805269357 y[1] (numeric) 6.385830805268898 absolute error 4.591882429849647e-13 relative error 7.190736131092906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) 6.410506442954421 y[1] (numeric) 6.410506442953954 absolute error 4.671818487622659e-13 relative error 7.28775258116666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) 6.43516854269134 y[1] (numeric) 6.435168542690867 absolute error 4.725109192804666e-13 relative error 7.3426347133847e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) 6.459816133778229 y[1] (numeric) 6.45981613377775 absolute error 4.796163466380676e-13 relative error 7.424612972034372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) 6.48444824796405 y[1] (numeric) 6.484448247963561 absolute error 4.884981308350689e-13 relative error 7.533380052627373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) 6.50906391954543 y[1] (numeric) 6.509063919544933 absolute error 4.973799150320701e-13 relative error 7.641343228148931e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%