##############ECHO OF PROBLEM################# ##############temp/mtest1postode.ode################# diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! #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(10.0) $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y1 (x) x = c(x) return(c(1.0) + cos(c(x))) end def exact_soln_y2 (x) x = c(x) return(c(1.0) + sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y1[1] (closed_form) 1.9950041652780257 y1[1] (numeric) 1.9950041652780257 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.0998334166468282 y2[1] (numeric) 1.0998334166468282 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y1[1] (closed_form) 1.9939560979566968 y1[1] (numeric) 1.993956097956697 absolute error 2.220446049250313e-16 relative error 1.1135882337257633e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1097783008371749 y2[1] (numeric) 1.1097783008371749 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 y1[1] (closed_form) 1.9928086358538661 y1[1] (numeric) 1.9928086358538664 absolute error 2.220446049250313e-16 relative error 1.1142294394458554e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1197122072889194 y2[1] (numeric) 1.1197122072889192 absolute error 2.220446049250313e-16 relative error 1.983050675696859e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y1[1] (closed_form) 1.991561893714788 y1[1] (numeric) 1.9915618937147883 absolute error 2.220446049250313e-16 relative error 1.1149269607225692e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.129634142619695 y2[1] (numeric) 1.1296341426196943 absolute error 6.661338147750939e-16 relative error 5.896898735995057e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y1[1] (closed_form) 1.9902159962126371 y1[1] (numeric) 1.9902159962126371 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1395431146442365 y2[1] (numeric) 1.1395431146442359 absolute error 6.661338147750939e-16 relative error 5.84562186559356e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y1[1] (closed_form) 1.9887710779360424 y1[1] (numeric) 1.9887710779360424 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1494381324735992 y2[1] (numeric) 1.1494381324735985 absolute error 6.661338147750939e-16 relative error 5.79529942461165e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y1[1] (closed_form) 1.9872272833756268 y1[1] (numeric) 1.9872272833756266 absolute error 2.220446049250313e-16 relative error 1.1173588787884023e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.159318206614246 y2[1] (numeric) 1.1593182066142451 absolute error 8.881784197001252e-16 relative error 7.66121341520223e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y1[1] (closed_form) 1.9855847669095605 y1[1] (numeric) 1.9855847669095605 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1691823490669961 y2[1] (numeric) 1.169182349066995 absolute error 1.1102230246251565e-15 relative error 9.49572173674287e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y1[1] (closed_form) 1.9838436927881213 y1[1] (numeric) 1.9838436927881213 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1790295734258243 y2[1] (numeric) 1.1790295734258234 absolute error 8.881784197001252e-16 relative error 7.533130972443778e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y1[1] (closed_form) 1.9820042351172704 y1[1] (numeric) 1.98200423511727 absolute error 4.440892098500626e-16 relative error 2.240606765523823e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1888588949765007 y2[1] (numeric) 1.1888588949764995 absolute error 1.1102230246251565e-15 relative error 9.338560104284719e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y1[1] (closed_form) 1.9800665778412416 y1[1] (numeric) 1.980066577841241 absolute error 6.661338147750939e-16 relative error 3.364199074060142e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.1986693307950613 y2[1] (numeric) 1.1986693307950602 absolute error 1.1102230246251565e-15 relative error 9.262129230325435e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y1[1] (closed_form) 1.9780309147241484 y1[1] (numeric) 1.9780309147241475 absolute error 8.881784197001252e-16 relative error 4.49021505725045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2084598998460996 y2[1] (numeric) 1.2084598998460985 absolute error 1.1102230246251565e-15 relative error 9.187090318566187e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y1[1] (closed_form) 1.9758974493306054 y1[1] (numeric) 1.9758974493306043 absolute error 1.1102230246251565e-15 relative error 5.6188291806403105e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2182296230808694 y2[1] (numeric) 1.2182296230808682 absolute error 1.1102230246251565e-15 relative error 9.113413461556065e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y1[1] (closed_form) 1.9736663950053748 y1[1] (numeric) 1.9736663950053734 absolute error 1.3322676295501878e-15 relative error 6.750216920760612e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2279775235351886 y2[1] (numeric) 1.2279775235351873 absolute error 1.3322676295501878e-15 relative error 1.0849283508990958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y1[1] (closed_form) 1.9713379748520294 y1[1] (numeric) 1.9713379748520279 absolute error 1.5543122344752192e-15 relative error 7.884554826738359e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2377026264271347 y2[1] (numeric) 1.2377026264271338 absolute error 8.881784197001252e-16 relative error 7.176024359453951e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y1[1] (closed_form) 1.9689124217106446 y1[1] (numeric) 1.9689124217106433 absolute error 1.3322676295501878e-15 relative error 6.766515436947051e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.247403959254523 y2[1] (numeric) 1.247403959254522 absolute error 8.881784197001252e-16 relative error 7.120214851898666e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y1[1] (closed_form) 1.9663899781345133 y1[1] (numeric) 1.966389978134512 absolute error 1.3322676295501878e-15 relative error 6.775195380186445e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2570805518921553 y2[1] (numeric) 1.2570805518921544 absolute error 8.881784197001252e-16 relative error 7.065405779790649e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y1[1] (closed_form) 1.9637708963658906 y1[1] (numeric) 1.9637708963658895 absolute error 1.1102230246251565e-15 relative error 5.653526216727775e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2667314366888314 y2[1] (numeric) 1.2667314366888303 absolute error 1.1102230246251565e-15 relative error 8.764470451031203e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y1[1] (closed_form) 1.9610554383107708 y1[1] (numeric) 1.9610554383107697 absolute error 1.1102230246251565e-15 relative error 5.661354610053702e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2763556485641139 y2[1] (numeric) 1.2763556485641128 absolute error 1.1102230246251565e-15 relative error 8.698382977143912e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y1[1] (closed_form) 1.958243875512697 y1[1] (numeric) 1.9582438755126956 absolute error 1.3322676295501878e-15 relative error 6.80337952902511e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2859522251048356 y2[1] (numeric) 1.2859522251048348 absolute error 8.881784197001252e-16 relative error 6.906776180022688e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y1[1] (closed_form) 1.955336489125606 y1[1] (numeric) 1.9553364891256044 absolute error 1.5543122344752192e-15 relative error 7.94907803909639e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.2955202066613398 y2[1] (numeric) 1.2955202066613387 absolute error 1.1102230246251565e-15 relative error 8.569708283333465e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y1[1] (closed_form) 1.9523335698857134 y1[1] (numeric) 1.952333569885712 absolute error 1.3322676295501878e-15 relative error 6.823975421516604e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3050586364434436 y2[1] (numeric) 1.3050586364434427 absolute error 8.881784197001252e-16 relative error 6.805659109084909e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y1[1] (closed_form) 1.949235418082441 y1[1] (numeric) 1.9492354180824398 absolute error 1.1102230246251565e-15 relative error 5.695684648072616e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3145665606161179 y2[1] (numeric) 1.3145665606161172 absolute error 6.661338147750939e-16 relative error 5.0673266362631866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y1[1] (closed_form) 1.946042343528387 y1[1] (numeric) 1.946042343528386 absolute error 8.881784197001252e-16 relative error 4.5640241213341786e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3240430283948685 y2[1] (numeric) 1.3240430283948676 absolute error 8.881784197001252e-16 relative error 6.708078216890428e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y1[1] (closed_form) 1.942754665528346 y1[1] (numeric) 1.942754665528345 absolute error 1.1102230246251565e-15 relative error 5.714684639932255e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3334870921408146 y2[1] (numeric) 1.3334870921408135 absolute error 1.1102230246251565e-15 relative error 8.325712570961417e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y1[1] (closed_form) 1.939372712847379 y1[1] (numeric) 1.9393727128473779 absolute error 1.1102230246251565e-15 relative error 5.724650126664573e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3428978074554516 y2[1] (numeric) 1.3428978074554505 absolute error 1.1102230246251565e-15 relative error 8.267367914829114e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y1[1] (closed_form) 1.9358968236779348 y1[1] (numeric) 1.935896823677934 absolute error 8.881784197001252e-16 relative error 4.5879429566535975e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.35227423327509 y2[1] (numeric) 1.3522742332750892 absolute error 8.881784197001252e-16 relative error 6.568034780556565e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y1[1] (closed_form) 1.9323273456060344 y1[1] (numeric) 1.932327345606034 absolute error 4.440892098500626e-16 relative error 2.2982090009743315e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3616154319649623 y2[1] (numeric) 1.3616154319649612 absolute error 1.1102230246251565e-15 relative error 8.153719461176946e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y1[1] (closed_form) 1.92866463557651 y1[1] (numeric) 1.9286646355765096 absolute error 4.440892098500626e-16 relative error 2.3025735094547266e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3709204694129828 y2[1] (numeric) 1.370920469412982 absolute error 8.881784197001252e-16 relative error 6.478701277838795e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y1[1] (closed_form) 1.9249090598573129 y1[1] (numeric) 1.9249090598573122 absolute error 6.661338147750939e-16 relative error 3.460598885770075e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3801884151231616 y2[1] (numeric) 1.3801884151231607 absolute error 8.881784197001252e-16 relative error 6.435196890280146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y1[1] (closed_form) 1.921060994002885 y1[1] (numeric) 1.9210609940028847 absolute error 4.440892098500626e-16 relative error 2.311687193880923e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3894183423086508 y2[1] (numeric) 1.3894183423086495 absolute error 1.3322676295501878e-15 relative error 9.588671669156882e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y1[1] (closed_form) 1.917120822816605 y1[1] (numeric) 1.9171208228166048 absolute error 2.220446049250313e-16 relative error 1.1582191496872207e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.3986093279844232 y2[1] (numeric) 1.3986093279844218 absolute error 1.3322676295501878e-15 relative error 9.525659545472629e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y1[1] (closed_form) 1.9130889403123081 y1[1] (numeric) 1.913088940312308 absolute error 2.220446049250313e-16 relative error 1.1606601253404505e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4077604530595704 y2[1] (numeric) 1.4077604530595693 absolute error 1.1102230246251565e-15 relative error 7.88644845230765e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y1[1] (closed_form) 1.908965749674885 y1[1] (numeric) 1.9089657496748849 absolute error 2.220446049250313e-16 relative error 1.1631670445781838e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.416870802429211 y2[1] (numeric) 1.4168708024292098 absolute error 1.1102230246251565e-15 relative error 7.835739311740281e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y1[1] (closed_form) 1.9047516632199633 y1[1] (numeric) 1.904751663219963 absolute error 2.220446049250313e-16 relative error 1.1657404438207297e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4259394650659998 y2[1] (numeric) 1.4259394650659987 absolute error 1.1102230246251565e-15 relative error 7.785905726185717e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y1[1] (closed_form) 1.9004471023526768 y1[1] (numeric) 1.9004471023526766 absolute error 2.220446049250313e-16 relative error 1.1683808754800333e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4349655341112304 y2[1] (numeric) 1.434965534111229 absolute error 1.3322676295501878e-15 relative error 9.284317970573069e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y1[1] (closed_form) 1.896052497525525 y1[1] (numeric) 1.8960524975255244 absolute error 6.661338147750939e-16 relative error 3.5132667246526294e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.44394810696552 y2[1] (numeric) 1.443948106965519 absolute error 1.1102230246251565e-15 relative error 7.688801413773159e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y1[1] (closed_form) 1.8915682881953289 y1[1] (numeric) 1.8915682881953282 absolute error 6.661338147750939e-16 relative error 3.5215953816323813e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4528862853790685 y2[1] (numeric) 1.4528862853790674 absolute error 1.1102230246251565e-15 relative error 7.641499791124336e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y1[1] (closed_form) 1.8869949227792842 y1[1] (numeric) 1.8869949227792835 absolute error 6.661338147750939e-16 relative error 3.530130403286779e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.461779175541483 y2[1] (numeric) 1.4617791755414824 absolute error 6.661338147750939e-16 relative error 4.5570071452710337e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y1[1] (closed_form) 1.8823328586101213 y1[1] (numeric) 1.8823328586101207 absolute error 6.661338147750939e-16 relative error 3.538873646752118e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4706258881711582 y2[1] (numeric) 1.4706258881711576 absolute error 6.661338147750939e-16 relative error 4.529593964944307e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y1[1] (closed_form) 1.8775825618903725 y1[1] (numeric) 1.8775825618903719 absolute error 6.661338147750939e-16 relative error 3.547827021275818e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4794255386042032 y2[1] (numeric) 1.479425538604202 absolute error 1.3322676295501878e-15 relative error 9.005303712731262e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y1[1] (closed_form) 1.8727445076457512 y1[1] (numeric) 1.8727445076457503 absolute error 8.881784197001252e-16 relative error 4.74265665217016e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.4881772468829078 y2[1] (numeric) 1.4881772468829064 absolute error 1.3322676295501878e-15 relative error 8.95234510768604e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y1[1] (closed_form) 1.8678191796776498 y1[1] (numeric) 1.867819179677649 absolute error 6.661338147750939e-16 relative error 3.566372066540488e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.496880137843737 y2[1] (numeric) 1.4968801378437357 absolute error 1.3322676295501878e-15 relative error 8.900295994770334e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y1[1] (closed_form) 1.8628070705147608 y1[1] (numeric) 1.8628070705147597 absolute error 1.1102230246251565e-15 relative error 5.959946374470019e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5055333412048473 y2[1] (numeric) 1.505533341204846 absolute error 1.3322676295501878e-15 relative error 8.849140653929334e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y1[1] (closed_form) 1.857708681363824 y1[1] (numeric) 1.857708681363823 absolute error 8.881784197001252e-16 relative error 4.781042520876175e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5141359916531134 y2[1] (numeric) 1.514135991653112 absolute error 1.3322676295501878e-15 relative error 8.798863753946143e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y1[1] (closed_form) 1.8525245220595057 y1[1] (numeric) 1.8525245220595048 absolute error 8.881784197001252e-16 relative error 4.794421931390745e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5226872289306594 y2[1] (numeric) 1.5226872289306579 absolute error 1.5543122344752192e-15 relative error 1.020769206534141e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y1[1] (closed_form) 1.8472551110134159 y1[1] (numeric) 1.8472551110134154 absolute error 4.440892098500626e-16 relative error 2.40404916030484e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5311861979208836 y2[1] (numeric) 1.531186197920882 absolute error 1.5543122344752192e-15 relative error 1.0151033470558558e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y1[1] (closed_form) 1.8419009751622686 y1[1] (numeric) 1.841900975162268 absolute error 6.661338147750939e-16 relative error 3.616556067659438e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5396320487339694 y2[1] (numeric) 1.5396320487339679 absolute error 1.5543122344752192e-15 relative error 1.009534866303492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y1[1] (closed_form) 1.8364626499151866 y1[1] (numeric) 1.8364626499151862 absolute error 4.440892098500626e-16 relative error 2.418177194458989e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.548023936791874 y2[1] (numeric) 1.548023936791872 absolute error 1.9984014443252818e-15 relative error 1.2909370435619816e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y1[1] (closed_form) 1.8309406791001632 y1[1] (numeric) 1.8309406791001626 absolute error 6.661338147750939e-16 relative error 3.638205335535355e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.556361022912784 y2[1] (numeric) 1.5563610229127822 absolute error 1.7763568394002505e-15 relative error 1.141352689542261e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y1[1] (closed_form) 1.8253356149096782 y1[1] (numeric) 1.8253356149096773 absolute error 8.881784197001252e-16 relative error 4.865836246470622e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5646424733950357 y2[1] (numeric) 1.5646424733950337 absolute error 1.9984014443252818e-15 relative error 1.277225614353326e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y1[1] (closed_form) 1.8196480178454792 y1[1] (numeric) 1.8196480178454786 absolute error 6.661338147750939e-16 relative error 3.6607838892041185e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5728674601004817 y2[1] (numeric) 1.5728674601004797 absolute error 1.9984014443252818e-15 relative error 1.270546625840689e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y1[1] (closed_form) 1.8138784566625337 y1[1] (numeric) 1.813878456662533 absolute error 6.661338147750939e-16 relative error 3.6724280633486015e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5810351605373054 y2[1] (numeric) 1.5810351605373036 absolute error 1.7763568394002505e-15 relative error 1.1235403764180463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y1[1] (closed_form) 1.8080275083121515 y1[1] (numeric) 1.808027508312151 absolute error 4.440892098500626e-16 relative error 2.4562082590470837e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.58914475794227 y2[1] (numeric) 1.5891447579422677 absolute error 2.220446049250313e-15 relative error 1.3972585179247573e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y1[1] (closed_form) 1.8020957578842922 y1[1] (numeric) 1.802095757884292 absolute error 2.220446049250313e-16 relative error 1.2321465380159237e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.5971954413623926 y2[1] (numeric) 1.5971954413623908 absolute error 1.7763568394002505e-15 relative error 1.112172495236422e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y1[1] (closed_form) 1.7960837985490556 y1[1] (numeric) 1.7960837985490554 absolute error 2.220446049250313e-16 relative error 1.2362708527542386e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6051864057360399 y2[1] (numeric) 1.6051864057360385 absolute error 1.3322676295501878e-15 relative error 8.299768953869826e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y1[1] (closed_form) 1.7899922314973646 y1[1] (numeric) 1.7899922314973646 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6131168519734342 y2[1] (numeric) 1.613116851973433 absolute error 1.3322676295501878e-15 relative error 8.258965417913373e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y1[1] (closed_form) 1.783821665880849 y1[1] (numeric) 1.7838216658808488 absolute error 2.220446049250313e-16 relative error 1.2447690773807591e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6209859870365602 y2[1] (numeric) 1.620985987036559 absolute error 1.1102230246251565e-15 relative error 6.849059976482797e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y1[1] (closed_form) 1.7775727187509276 y1[1] (numeric) 1.7775727187509278 absolute error 2.220446049250313e-16 relative error 1.2491449862093888e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.628793024018469 y2[1] (numeric) 1.628793024018468 absolute error 8.881784197001252e-16 relative error 5.452985165106246e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y1[1] (closed_form) 1.7712460149971063 y1[1] (numeric) 1.7712460149971068 absolute error 4.440892098500626e-16 relative error 2.5072136004257326e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6365371822219683 y2[1] (numeric) 1.6365371822219679 absolute error 4.440892098500626e-16 relative error 2.713590712599095e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y1[1] (closed_form) 1.7648421872844882 y1[1] (numeric) 1.7648421872844886 absolute error 4.440892098500626e-16 relative error 2.516311163965147e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6442176872376915 y2[1] (numeric) 1.644217687237691 absolute error 4.440892098500626e-16 relative error 2.7009149293129102e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y1[1] (closed_form) 1.758361875990508 y1[1] (numeric) 1.7583618759905084 absolute error 4.440892098500626e-16 relative error 2.525584840719442e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6518337710215372 y2[1] (numeric) 1.6518337710215365 absolute error 6.661338147750939e-16 relative error 4.032692795493213e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y1[1] (closed_form) 1.7518057291408946 y1[1] (numeric) 1.7518057291408953 absolute error 6.661338147750939e-16 relative error 3.8025552930562313e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6593846719714735 y2[1] (numeric) 1.659384671971473 absolute error 4.440892098500626e-16 relative error 2.6762282269514477e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y1[1] (closed_form) 1.7451744023448699 y1[1] (numeric) 1.7451744023448705 absolute error 6.661338147750939e-16 relative error 3.817004271206683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6668696350036982 y2[1] (numeric) 1.6668696350036978 absolute error 4.440892098500626e-16 relative error 2.664210808837953e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y1[1] (closed_form) 1.7384685587295876 y1[1] (numeric) 1.7384685587295876 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6742879116281455 y2[1] (numeric) 1.674287911628145 absolute error 4.440892098500626e-16 relative error 2.6524064754084752e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y1[1] (closed_form) 1.7316888688738206 y1[1] (numeric) 1.7316888688738206 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6816387600233345 y2[1] (numeric) 1.6816387600233345 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] 0.7600000000000006 y1[1] (closed_form) 1.7248360107409049 y1[1] (numeric) 1.7248360107409049 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6889214451105516 y2[1] (numeric) 1.6889214451105516 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] 0.7700000000000006 y1[1] (closed_form) 1.717910669610943 y1[1] (numeric) 1.7179106696109432 absolute error 2.220446049250313e-16 relative error 1.2925270728734573e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.6961352386273572 y2[1] (numeric) 1.696135238627357 absolute error 2.220446049250313e-16 relative error 1.3091208759080252e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y1[1] (closed_form) 1.710913538012277 y1[1] (numeric) 1.710913538012277 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7032794192004106 y2[1] (numeric) 1.7032794192004101 absolute error 4.440892098500626e-16 relative error 2.6072598825772012e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y1[1] (closed_form) 1.7038453156522357 y1[1] (numeric) 1.703845315652236 absolute error 2.220446049250313e-16 relative error 1.3031969679714272e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7103532724176083 y2[1] (numeric) 1.710353272417608 absolute error 2.220446049250313e-16 relative error 1.298238255838036e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y1[1] (closed_form) 1.6967067093471648 y1[1] (numeric) 1.696706709347165 absolute error 2.220446049250313e-16 relative error 1.3086799486427831e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7173560908995231 y2[1] (numeric) 1.717356090899523 absolute error 2.220446049250313e-16 relative error 1.2929444633042176e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y1[1] (closed_form) 1.6894984329517466 y1[1] (numeric) 1.6894984329517468 absolute error 2.220446049250313e-16 relative error 1.3142634559127353e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.724287174370143 y2[1] (numeric) 1.724287174370143 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 y1[1] (closed_form) 1.682221207287613 y1[1] (numeric) 1.6822212072876137 absolute error 6.661338147750939e-16 relative error 3.959846730556664e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7311458297268962 y2[1] (numeric) 1.7311458297268962 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y1[1] (closed_form) 1.6748757600712665 y1[1] (numeric) 1.6748757600712676 absolute error 1.1102230246251565e-15 relative error 6.62868883228638e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.737931371109963 y2[1] (numeric) 1.737931371109963 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] 0.8400000000000006 y1[1] (closed_form) 1.6674628258413078 y1[1] (numeric) 1.6674628258413087 absolute error 8.881784197001252e-16 relative error 5.326526060645463e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7446431199708599 y2[1] (numeric) 1.7446431199708594 absolute error 4.440892098500626e-16 relative error 2.5454444222236127e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y1[1] (closed_form) 1.6599831458849816 y1[1] (numeric) 1.6599831458849832 absolute error 1.5543122344752192e-15 relative error 9.363421781289071e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7512804051402933 y2[1] (numeric) 1.7512804051402928 absolute error 4.440892098500626e-16 relative error 2.5357972860690295e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y1[1] (closed_form) 1.6524374681640515 y1[1] (numeric) 1.652437468164053 absolute error 1.5543122344752192e-15 relative error 9.406178838356559e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.7578425628952774 y2[1] (numeric) 1.7578425628952772 absolute error 2.220446049250313e-16 relative error 1.2631654825749006e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y1[1] (closed_form) 1.6448265472400005 y1[1] (numeric) 1.6448265472400023 absolute error 1.7763568394002505e-15 relative error 1.0799660562269962e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7643289370255055 y2[1] (numeric) 1.764328937025505 absolute error 4.440892098500626e-16 relative error 2.517043168825172e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y1[1] (closed_form) 1.6371511441985795 y1[1] (numeric) 1.6371511441985818 absolute error 2.220446049250313e-15 relative error 1.356286532931734e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7707388788989697 y2[1] (numeric) 1.7707388788989693 absolute error 4.440892098500626e-16 relative error 2.507931661421437e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y1[1] (closed_form) 1.6294120265736964 y1[1] (numeric) 1.6294120265736987 absolute error 2.220446049250313e-15 relative error 1.362728403275281e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7770717475268243 y2[1] (numeric) 1.7770717475268238 absolute error 4.440892098500626e-16 relative error 2.4989942610258016e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y1[1] (closed_form) 1.621609968270664 y1[1] (numeric) 1.6216099682706662 absolute error 2.220446049250313e-15 relative error 1.369284903704845e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7833269096274837 y2[1] (numeric) 1.7833269096274833 absolute error 4.440892098500626e-16 relative error 2.4902288383167372e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y1[1] (closed_form) 1.613745749488811 y1[1] (numeric) 1.6137457494888132 absolute error 2.220446049250313e-15 relative error 1.3759577987757287e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.789503739689951 y2[1] (numeric) 1.7895037396899502 absolute error 6.661338147750939e-16 relative error 3.7224499731445553e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y1[1] (closed_form) 1.6058201566434622 y1[1] (numeric) 1.605820156643465 absolute error 2.6645352591003757e-15 relative error 1.6592986755564672e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.7956016200363665 y2[1] (numeric) 1.795601620036366 absolute error 4.440892098500626e-16 relative error 2.473205664857155e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y1[1] (closed_form) 1.5978339822872978 y1[1] (numeric) 1.5978339822873 absolute error 2.220446049250313e-15 relative error 1.3896600484561898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8016199408837776 y2[1] (numeric) 1.801619940883777 absolute error 6.661338147750939e-16 relative error 3.697415862572683e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y1[1] (closed_form) 1.5897880250310976 y1[1] (numeric) 1.5897880250311003 absolute error 2.6645352591003757e-15 relative error 1.6760317835758356e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8075581004051147 y2[1] (numeric) 1.8075581004051138 absolute error 8.881784197001252e-16 relative error 4.9136922320840716e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y1[1] (closed_form) 1.581683089463883 y1[1] (numeric) 1.5816830894638854 absolute error 2.4424906541753444e-15 relative error 1.544235169766679e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8134155047893743 y2[1] (numeric) 1.813415504789373 absolute error 1.3322676295501878e-15 relative error 7.346731215386454e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y1[1] (closed_form) 1.573519986072456 y1[1] (numeric) 1.5735199860724582 absolute error 2.220446049250313e-15 relative error 1.4111330449590286e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8191915683009987 y2[1] (numeric) 1.8191915683009974 absolute error 1.3322676295501878e-15 relative error 7.323404817637954e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y1[1] (closed_form) 1.5652995311603537 y1[1] (numeric) 1.5652995311603564 absolute error 2.6645352591003757e-15 relative error 1.702252639867055e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8248857133384506 y2[1] (numeric) 1.8248857133384495 absolute error 1.1102230246251565e-15 relative error 6.083794818000474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y1[1] (closed_form) 1.5570225467662167 y1[1] (numeric) 1.5570225467662193 absolute error 2.6645352591003757e-15 relative error 1.7113016536814797e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.830497370491971 y2[1] (numeric) 1.8304973704919703 absolute error 6.661338147750939e-16 relative error 3.6390864336290273e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y1[1] (closed_form) 1.5486898605815869 y1[1] (numeric) 1.5486898605815898 absolute error 2.886579864025407e-15 relative error 1.863885040831478e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8360259786005209 y2[1] (numeric) 1.8360259786005204 absolute error 4.440892098500626e-16 relative error 2.41875232173219e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y1[1] (closed_form) 1.5403023058681393 y1[1] (numeric) 1.5403023058681418 absolute error 2.4424906541753444e-15 relative error 1.5857216111863944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8414709848078967 y2[1] (numeric) 1.8414709848078965 absolute error 2.220446049250313e-16 relative error 1.2058001823373563e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y1[1] (closed_form) 1.5318607213743558 y1[1] (numeric) 1.5318607213743574 absolute error 1.5543122344752192e-15 relative error 1.0146563671145771e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.846831844618015 y2[1] (numeric) 1.8468318446180154 absolute error 4.440892098500626e-16 relative error 2.404600132622874e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y1[1] (closed_form) 1.5233659512516509 y1[1] (numeric) 1.5233659512516518 absolute error 8.881784197001252e-16 relative error 5.830368067307575e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.8521080219493622 y2[1] (numeric) 1.852108021949363 absolute error 8.881784197001252e-16 relative error 4.795500095967991e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y1[1] (closed_form) 1.5148188449699576 y1[1] (numeric) 1.5148188449699576 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.857298989188602 y2[1] (numeric) 1.8572989891886036 absolute error 1.5543122344752192e-15 relative error 8.368670006945146e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y1[1] (closed_form) 1.5062202572327816 y1[1] (numeric) 1.5062202572327807 absolute error 8.881784197001252e-16 relative error 5.896736652127365e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 y2[1] (closed_form) 1.8624042272433365 y2[1] (numeric) 1.8624042272433385 absolute error 1.9984014443252818e-15 relative error 1.0730223949734282e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y1[1] (closed_form) 1.4975710478917312 y1[1] (numeric) 1.4975710478917295 absolute error 1.7763568394002505e-15 relative error 1.1861586412884996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8674232255940146 y2[1] (numeric) 1.867423225594017 absolute error 2.4424906541753444e-15 relative error 1.3079470259873227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y1[1] (closed_form) 1.4888720818605328 y1[1] (numeric) 1.48887208186053 absolute error 2.6645352591003757e-15 relative error 1.7896334356479463e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8723554823449833 y2[1] (numeric) 1.8723554823449864 absolute error 3.1086244689504383e-15 relative error 1.6602747172012026e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y1[1] (closed_form) 1.4801242290285404 y1[1] (numeric) 1.4801242290285368 absolute error 3.552713678800501e-15 relative error 2.4002807393621795e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8772005042746782 y2[1] (numeric) 1.877200504274682 absolute error 3.774758283725532e-15 relative error 2.0108444863134327e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y1[1] (closed_form) 1.4713283641737471 y1[1] (numeric) 1.4713283641737427 absolute error 4.440892098500626e-15 relative error 3.0182875601630196e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8819578068849436 y2[1] (numeric) 1.8819578068849476 absolute error 3.9968028886505635e-15 relative error 2.1237473412149213e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y1[1] (closed_form) 1.462485366875309 y1[1] (numeric) 1.4624853668753035 absolute error 5.551115123125783e-15 relative error 3.7956722500315234e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.886626914449483 y2[1] (numeric) 1.8866269144494874 absolute error 4.440892098500626e-15 relative error 2.353879330612898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y1[1] (closed_form) 1.4535961214255866 y1[1] (numeric) 1.45359612142558 absolute error 6.661338147750939e-15 relative error 4.582660925937227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8912073600614305 y2[1] (numeric) 1.8912073600614354 absolute error 4.884981308350689e-15 relative error 2.5829961386106355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y1[1] (closed_form) 1.4446615167417172 y1[1] (numeric) 1.4446615167417096 absolute error 7.549516567451064e-15 relative error 5.225803054876279e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.8956986856800424 y2[1] (numeric) 1.8956986856800482 absolute error 5.773159728050814e-15 relative error 3.045399446473643e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y1[1] (closed_form) 1.4356824462767235 y1[1] (numeric) 1.435682446276715 absolute error 8.43769498715119e-15 relative error 5.8771318191104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9001004421764995 y2[1] (numeric) 1.9001004421765058 absolute error 6.217248937900877e-15 relative error 3.272063307758211e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y1[1] (closed_form) 1.4266598079301698 y1[1] (numeric) 1.4266598079301602 absolute error 9.547918011776346e-15 relative error 6.692498070460596e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.90441218937882 y2[1] (numeric) 1.9044121893788264 absolute error 6.439293542825908e-15 relative error 3.3812499094149744e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y1[1] (closed_form) 1.4175945039583715 y1[1] (numeric) 1.417594503958361 absolute error 1.0436096431476471e-14 relative error 7.361834715312168e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.908633496115877 y2[1] (numeric) 1.908633496115884 absolute error 6.8833827526759706e-15 relative error 3.6064455363923186e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y1[1] (closed_form) 1.4084874408841719 y1[1] (numeric) 1.4084874408841603 absolute error 1.1546319456101628e-14 relative error 8.197672993699877e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9127639402605146 y2[1] (numeric) 1.9127639402605217 absolute error 7.105427357601002e-15 relative error 3.7147434704531587e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y1[1] (closed_form) 1.3993395294062887 y1[1] (numeric) 1.3993395294062763 absolute error 1.2434497875801753e-14 relative error 8.885976287025535e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9168031087717603 y2[1] (numeric) 1.9168031087717674 absolute error 7.105427357601002e-15 relative error 3.7069156060342485e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y1[1] (closed_form) 1.3901516843082469 y1[1] (numeric) 1.3901516843082335 absolute error 1.3322676295501878e-14 relative error 9.583613389736943e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 y2[1] (closed_form) 1.9207505977361286 y2[1] (numeric) 1.9207505977361359 absolute error 7.327471962526033e-15 relative error 3.8149002640751363e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y1[1] (closed_form) 1.3809248243668995 y1[1] (numeric) 1.3809248243668852 absolute error 1.4210854715202004e-14 relative error 1.0290824282717294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.924606012408013 y2[1] (numeric) 1.9246060124080209 absolute error 7.771561172376096e-15 relative error 4.0380010881564983e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y1[1] (closed_form) 1.3716598722605517 y1[1] (numeric) 1.3716598722605362 absolute error 1.554312234475219e-14 relative error 1.1331615555054832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9283689672491593 y2[1] (numeric) 1.928368967249167 absolute error 7.771561172376096e-15 relative error 4.0301214676060244e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y1[1] (closed_form) 1.3623577544766934 y1[1] (numeric) 1.3623577544766772 absolute error 1.6209256159527285e-14 relative error 1.1897943918375213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9320390859672187 y2[1] (numeric) 1.932039085967227 absolute error 8.215650382226158e-15 relative error 4.2523210021464105e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y1[1] (closed_form) 1.3530194012193513 y1[1] (numeric) 1.353019401219334 absolute error 1.7319479184152442e-14 relative error 1.2800614069941642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9356160015533779 y2[1] (numeric) 1.9356160015533863 absolute error 8.43769498715119e-15 relative error 4.3591781533009333e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y1[1] (closed_form) 1.3436457463160691 y1[1] (numeric) 1.3436457463160505 absolute error 1.865174681370263e-14 relative error 1.3881446701886208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9390993563190595 y2[1] (numeric) 1.939099356319068 absolute error 8.43769498715119e-15 relative error 4.351347423047079e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y1[1] (closed_form) 1.3342377271245258 y1[1] (numeric) 1.3342377271245058 absolute error 1.9984014443252818e-14 relative error 1.49778514255636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9424888019316893 y2[1] (numeric) 1.9424888019316982 absolute error 8.881784197001252e-15 relative error 4.572373435650619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y1[1] (closed_form) 1.3247962844388006 y1[1] (numeric) 1.3247962844387795 absolute error 2.1094237467877974e-14 relative error 1.5922627286665242e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9457839994495307 y2[1] (numeric) 1.94578399944954 absolute error 9.325873406851315e-15 relative error 4.792861596913963e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y1[1] (closed_form) 1.315322362395294 y1[1] (numeric) 1.315322362395272 absolute error 2.220446049250313e-14 relative error 1.6881382942556571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9489846193555778 y2[1] (numeric) 1.9489846193555873 absolute error 9.547918011776346e-15 relative error 4.898919117654874e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y1[1] (closed_form) 1.305816908378316 y1[1] (numeric) 1.3058169083782927 absolute error 2.3314683517128287e-14 relative error 1.7854481258082814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.952090341590507 y2[1] (numeric) 1.952090341590517 absolute error 9.992007221626409e-15 relative error 5.118619260973961e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y1[1] (closed_form) 1.2962808729253466 y1[1] (numeric) 1.2962808729253221 absolute error 2.4424906541753444e-14 relative error 1.884229494695328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9551008555846836 y2[1] (numeric) 1.9551008555846936 absolute error 9.992007221626409e-15 relative error 5.110737480925629e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y1[1] (closed_form) 1.2867152096319845 y1[1] (numeric) 1.2867152096319592 absolute error 2.531308496145357e-14 relative error 1.9672639891070695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9580158602892164 y2[1] (numeric) 1.9580158602892264 absolute error 9.992007221626409e-15 relative error 5.103128848073019e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y1[1] (closed_form) 1.2771208750565877 y1[1] (numeric) 1.2771208750565615 absolute error 2.6201263381153694e-14 relative error 2.051588372948077e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.960835064206064 y2[1] (numeric) 1.9608350642060741 absolute error 1.021405182655144e-14 relative error 5.209031607503958e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y1[1] (closed_form) 1.2674988286246185 y1[1] (numeric) 1.2674988286245914 absolute error 2.708944180085382e-14 relative error 2.13723604228092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9635581854171842 y2[1] (numeric) 1.9635581854171944 absolute error 1.021405182655144e-14 relative error 5.201807566696237e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y1[1] (closed_form) 1.257850032532702 y1[1] (numeric) 1.2578500325326738 absolute error 2.8199664825478976e-14 relative error 2.2418940331621632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9661849516127254 y2[1] (numeric) 1.9661849516127357 absolute error 1.021405182655144e-14 relative error 5.194858102323263e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y1[1] (closed_form) 1.2481754516524064 y1[1] (numeric) 1.2481754516523769 absolute error 2.9531932455029164e-14 relative error 2.366008113357228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9687151001182568 y2[1] (numeric) 1.968715100118267 absolute error 1.021405182655144e-14 relative error 5.1881817871656e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y1[1] (closed_form) 1.2384760534337578 y1[1] (numeric) 1.238476053433727 absolute error 3.086420008457935e-14 relative error 2.492111171548799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9711483779210361 y2[1] (numeric) 1.9711483779210461 absolute error 9.992007221626409e-15 relative error 5.069129921190888e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y1[1] (closed_form) 1.2287528078084953 y1[1] (numeric) 1.2287528078084629 absolute error 3.241851231905457e-14 relative error 2.6383266115886746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9734845416953108 y2[1] (numeric) 1.9734845416953213 absolute error 1.0436096431476471e-14 relative error 5.288157171229424e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y1[1] (closed_form) 1.2190066870930785 y1[1] (numeric) 1.219006687093045 absolute error 3.352873534367973e-14 relative error 2.7504964245630596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9757233578266509 y2[1] (numeric) 1.975723357826661 absolute error 1.021405182655144e-14 relative error 5.169778342746919e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y1[1] (closed_form) 1.2092386658914576 y1[1] (numeric) 1.209238665891423 absolute error 3.4638958368304884e-14 relative error 2.8645261969661587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9778646024353082 y2[1] (numeric) 1.9778646024353181 absolute error 9.992007221626409e-15 relative error 5.051916703157251e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y1[1] (closed_form) 1.1994497209976123 y1[1] (numeric) 1.1994497209975767 absolute error 3.552713678800501e-14 relative error 2.9619529827774858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9799080613986062 y2[1] (numeric) 1.979908061398616 absolute error 9.769962616701378e-15 relative error 4.934553683164399e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y1[1] (closed_form) 1.1896408312978748 y1[1] (numeric) 1.1896408312978384 absolute error 3.6415315207705135e-14 relative error 3.061034410526809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.981853530372352 y2[1] (numeric) 1.9818535303723614 absolute error 9.547918011776346e-15 relative error 4.81767086490114e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y1[1] (closed_form) 1.179812977673041 y1[1] (numeric) 1.1798129776730035 absolute error 3.752553823233029e-14 relative error 3.1806344685530033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.983700814811269 y2[1] (numeric) 1.983700814811278 absolute error 9.103828801926284e-15 relative error 4.58931545218548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y1[1] (closed_form) 1.1699671429002838 y1[1] (numeric) 1.169967142900245 absolute error 3.885780586188048e-14 relative error 3.3212732594826664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9854497299884528 y2[1] (numeric) 1.9854497299884615 absolute error 8.659739592076221e-15 relative error 4.36160103239007e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y1[1] (closed_form) 1.160104311554875 y1[1] (numeric) 1.1601043115548353 absolute error 3.9745984281580604e-14 relative error 3.42606987024378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9871001010138434 y2[1] (numeric) 1.9871001010138516 absolute error 8.215650382226158e-15 relative error 4.1344924586508905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y1[1] (closed_form) 1.150225469911731 y1[1] (numeric) 1.1502254699116898 absolute error 4.107825191113079e-14 relative error 3.5713217091500473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9886517628517129 y2[1] (numeric) 1.988651762851721 absolute error 8.215650382226158e-15 relative error 4.1312664870218266e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y1[1] (closed_form) 1.140331605846783 y1[1] (numeric) 1.140331605846741 absolute error 4.196643033083092e-14 relative error 3.680195314736335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9901045603371712 y2[1] (numeric) 1.990104560337179 absolute error 7.771561172376096e-15 relative error 3.905101936482879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y1[1] (closed_form) 1.130423708738193 y1[1] (numeric) 1.1304237087381497 absolute error 4.3298697960381105e-14 relative error 3.830306957088876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.99145834819168 y2[1] (numeric) 1.9914583481916877 absolute error 7.549516567451064e-15 relative error 3.790948765916351e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y1[1] (closed_form) 1.1205027693674152 y1[1] (numeric) 1.1205027693673708 absolute error 4.440892098500626e-14 relative error 3.963303099204076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9927129910375827 y2[1] (numeric) 1.9927129910375898 absolute error 7.105427357601002e-15 relative error 3.565705342193452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y1[1] (closed_form) 1.1105697798201193 y1[1] (numeric) 1.1105697798200738 absolute error 4.551914400963142e-14 relative error 4.098719849643687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9938683634116394 y2[1] (numeric) 1.9938683634116465 absolute error 7.105427357601002e-15 relative error 3.5636391488970464e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y1[1] (closed_form) 1.1006257333869824 y1[1] (numeric) 1.100625733386936 absolute error 4.6407322429331543e-14 relative error 4.216448972760355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9949243497775757 y2[1] (numeric) 1.9949243497775824 absolute error 6.661338147750939e-15 relative error 3.3391432354282735e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y1[1] (closed_form) 1.0906716244643617 y1[1] (numeric) 1.0906716244643138 absolute error 4.796163466380676e-14 relative error 4.39744040167554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9958808445376355 y2[1] (numeric) 1.9958808445376417 absolute error 6.217248937900877e-15 relative error 3.115040136246791e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y1[1] (closed_form) 1.0807084484548537 y1[1] (numeric) 1.0807084484548046 absolute error 4.907185768843192e-14 relative error 4.5407119522931986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.996737752043139 y2[1] (numeric) 1.9967377520431449 absolute error 5.773159728050814e-15 relative error 2.891295926139271e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y1[1] (closed_form) 1.0707372016677572 y1[1] (numeric) 1.0707372016677073 absolute error 4.9960036108132044e-14 relative error 4.6659475387905986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9974949866040506 y2[1] (numeric) 1.9974949866040559 absolute error 5.329070518200751e-15 relative error 2.6678767926525443e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y1[1] (closed_form) 1.0607588812194413 y1[1] (numeric) 1.06075888121939 absolute error 5.129230373768223e-14 relative error 4.8354347671090856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9981524724975448 y2[1] (numeric) 1.9981524724975495 absolute error 4.6629367034256575e-15 relative error 2.3336240690367973e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y1[1] (closed_form) 1.0507744849336358 y1[1] (numeric) 1.050774484933583 absolute error 5.284661597215745e-14 relative error 5.029301408617198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9987101439755801 y2[1] (numeric) 1.9987101439755846 absolute error 4.440892098500626e-15 relative error 2.2218790012579654e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y1[1] (closed_form) 1.0407850112416488 y1[1] (numeric) 1.0407850112415948 absolute error 5.395683899678261e-14 relative error 5.184244432230293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9991679452714737 y2[1] (numeric) 1.9991679452714775 absolute error 3.774758283725532e-15 relative error 1.888164670033735e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y1[1] (closed_form) 1.030791459082525 y1[1] (numeric) 1.0307914590824698 absolute error 5.5067062021407764e-14 relative error 5.3422117088961165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9995258306054773 y2[1] (numeric) 1.9995258306054806 absolute error 3.3306690738754696e-15 relative error 1.6657294559015066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y1[1] (closed_form) 1.0207948278031524 y1[1] (numeric) 1.0207948278030963 absolute error 5.617728504603292e-14 relative error 5.503288566511625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9997837641893557 y2[1] (numeric) 1.9997837641893588 absolute error 3.1086244689504383e-15 relative error 1.5544803016292959e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y1[1] (closed_form) 1.0107961170583284 y1[1] (numeric) 1.0107961170582713 absolute error 5.706546346573305e-14 relative error 5.6455958330951975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9999417202299656 y2[1] (numeric) 1.9999417202299679 absolute error 2.220446049250313e-15 relative error 1.1102553773391919e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y1[1] (closed_form) 1.0007963267107953 y1[1] (numeric) 1.0007963267107371 absolute error 5.81756864903582e-14 relative error 5.812939649924344e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9999996829318345 y2[1] (numeric) 1.9999996829318358 absolute error 1.3322676295501878e-15 relative error 6.66133920380024e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y1[1] (closed_form) 0.9907964567312549 y1[1] (numeric) 0.9907964567311954 absolute error 5.950795411990839e-14 relative error 6.006072560678264e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9999576464987405 y2[1] (numeric) 1.9999576464987414 absolute error 8.881784197001252e-16 relative error 4.4409861441567514e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y1[1] (closed_form) 0.9807975070983718 y1[1] (numeric) 0.980797507098311 absolute error 6.072919944699606e-14 relative error 6.191818291490117e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.999815615134292 y2[1] (numeric) 1.9998156151342923 absolute error 2.220446049250313e-16 relative error 1.1103253882239564e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y1[1] (closed_form) 0.9708004776987766 y1[1] (numeric) 0.970800477698715 absolute error 6.161737786669619e-14 relative error 6.34706917458018e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9995736030415072 y2[1] (numeric) 1.9995736030415068 absolute error 4.440892098500626e-16 relative error 2.220919545920032e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y1[1] (closed_form) 0.9608063682270789 y1[1] (numeric) 0.9608063682270161 absolute error 6.272760089132134e-14 relative error 6.528641250272831e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9992316344213932 y2[1] (numeric) 1.999231634421392 absolute error 1.1102230246251565e-15 relative error 5.553248585657116e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y1[1] (closed_form) 0.9508161780858971 y1[1] (numeric) 0.9508161780858332 absolute error 6.394884621840902e-14 relative error 6.725679231409949e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9987897434705273 y2[1] (numeric) 1.9987897434705255 absolute error 1.7763568394002505e-15 relative error 8.887162069963079e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y1[1] (closed_form) 0.9408309062859204 y1[1] (numeric) 0.9408309062858555 absolute error 6.483702463810914e-14 relative error 6.89146415205083e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9982479743776365 y2[1] (numeric) 1.998247974377634 absolute error 2.4424906541753444e-15 relative error 1.2223160916432652e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y1[1] (closed_form) 0.9308515513460076 y1[1] (numeric) 0.9308515513459417 absolute error 6.59472476627343e-14 relative error 7.084614895616261e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9976063813191784 y2[1] (numeric) 1.9976063813191753 absolute error 3.1086244689504383e-15 relative error 1.5561746788661968e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y1[1] (closed_form) 0.9208791111933368 y1[1] (numeric) 0.9208791111932696 absolute error 6.716849298982197e-14 relative error 7.293953372748411e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9968650284539244 y2[1] (numeric) 1.9968650284539207 absolute error 3.774758283725532e-15 relative error 1.8903422264088346e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y1[1] (closed_form) 0.9109145830636127 y1[1] (numeric) 0.9109145830635444 absolute error 6.827871601444713e-14 relative error 7.495622233295496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.996023989916543 y2[1] (numeric) 1.9960239899165386 absolute error 4.440892098500626e-15 relative error 2.2248691002387738e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y1[1] (closed_form) 0.9009589634013446 y1[1] (numeric) 0.9009589634012753 absolute error 6.927791673660977e-14 relative error 7.68935318375305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9950833498101874 y2[1] (numeric) 1.9950833498101823 absolute error 5.10702591327572e-15 relative error 2.5598057914530756e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y1[1] (closed_form) 0.8910132477602026 y1[1] (numeric) 0.8910132477601322 absolute error 7.038813976123492e-14 relative error 7.899785995121186e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.994043202198084 y2[1] (numeric) 1.9940432021980783 absolute error 5.773159728050814e-15 relative error 2.8952029332598787e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y1[1] (closed_form) 0.8810784307034625 y1[1] (numeric) 0.8810784307033911 absolute error 7.138734048339757e-14 relative error 8.102268537705678e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9929036510941276 y2[1] (numeric) 1.9929036510941207 absolute error 6.8833827526759706e-15 relative error 3.453946581359772e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y1[1] (closed_form) 0.8711555057045511 y1[1] (numeric) 0.8711555057044787 absolute error 7.238654120556021e-14 relative error 8.309256009008088e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9916648104524786 y2[1] (numeric) 1.9916648104524708 absolute error 7.771561172376096e-15 relative error 3.902042719030872e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y1[1] (closed_form) 0.8612454650476992 y1[1] (numeric) 0.8612454650476258 absolute error 7.338574192772285e-14 relative error 8.52088572955893e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9903268041561688 y2[1] (numeric) 1.9903268041561601 absolute error 8.659739592076221e-15 relative error 4.350913414818657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y1[1] (closed_form) 0.8513492997287141 y1[1] (numeric) 0.8513492997286396 absolute error 7.4495964952348e-14 relative error 8.750340779758256e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9888897660047131 y2[1] (numeric) 1.9888897660047038 absolute error 9.325873406851315e-15 relative error 4.688984561263621e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y1[1] (closed_form) 0.8414679993558809 y1[1] (numeric) 0.8414679993558054 absolute error 7.549516567451064e-14 relative error 8.97184037091131e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.987353839700729 y2[1] (numeric) 1.9873538397007189 absolute error 1.021405182655144e-14 relative error 5.139523532502672e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y1[1] (closed_form) 0.8316025520510026 y1[1] (numeric) 0.831602552050926 absolute error 7.66053886991358e-14 relative error 9.211778933362093e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9857191788355673 y2[1] (numeric) 1.9857191788355557 absolute error 1.1546319456101628e-14 relative error 5.814678922964541e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y1[1] (closed_form) 0.8217539443505886 y1[1] (numeric) 0.8217539443505109 absolute error 7.771561172376096e-14 relative error 9.457284903594548e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9839859468739514 y2[1] (numeric) 1.9839859468739391 absolute error 1.2212453270876722e-14 relative error 6.15551399954176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y1[1] (closed_form) 0.8119231611072014 y1[1] (numeric) 0.8119231611071228 absolute error 7.860379014346108e-14 relative error 9.681185844762805e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9821543171376341 y2[1] (numeric) 1.9821543171376206 absolute error 1.354472090042691e-14 relative error 6.833333198792721e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y1[1] (closed_form) 0.8021111853909735 y1[1] (numeric) 0.8021111853908939 absolute error 7.960299086562372e-14 relative error 9.9241841175451e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.9802244727880622 y2[1] (numeric) 1.9802244727880474 absolute error 1.4876988529977098e-14 relative error 7.512778846244134e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y1[1] (closed_form) 0.7923189983912996 y1[1] (numeric) 0.7923189983912191 absolute error 8.049116928532385e-14 relative error 1.0158934652425433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9781966068080625 y2[1] (numeric) 1.9781966068080463 absolute error 1.6209256159527285e-14 relative error 8.193956103120549e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y1[1] (closed_form) 0.7825475793187197 y1[1] (numeric) 0.7825475793186382 absolute error 8.149037000748649e-14 relative error 1.0413471610049758e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.976070921982543 y2[1] (numeric) 1.9760709219825259 absolute error 1.709743457922741e-14 relative error 8.652237320548181e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y1[1] (closed_form) 0.7727979053069981 y1[1] (numeric) 0.7727979053069157 absolute error 8.237854842718662e-14 relative error 1.06597789488652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9738476308782151 y2[1] (numeric) 1.9738476308781967 absolute error 1.84297022087776e-14 relative error 9.336942690240865e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y1[1] (closed_form) 0.7630709513154114 y1[1] (numeric) 0.7630709513153281 absolute error 8.326672684688674e-14 relative error 1.0912055648737293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9715269558223363 y2[1] (numeric) 1.9715269558223167 absolute error 1.9539925233402755e-14 relative error 9.911061665019198e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y1[1] (closed_form) 0.7533676900312529 y1[1] (numeric) 0.7533676900311689 absolute error 8.404388296412435e-14 relative error 1.1155758877930889e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9691091288804785 y2[1] (numeric) 1.969109128880458 absolute error 2.042810365310288e-14 relative error 1.0374287211149704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y1[1] (closed_form) 0.7436890917725651 y1[1] (numeric) 0.7436890917724801 absolute error 8.504308368628699e-14 relative error 1.1435300668937988e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9665943918333209 y2[1] (numeric) 1.9665943918332998 absolute error 2.1094237467877974e-14 relative error 1.0726277648037664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y1[1] (closed_form) 0.7340361243911082 y1[1] (numeric) 0.7340361243910223 absolute error 8.593126210598712e-14 relative error 1.170668026417203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9639829961524726 y2[1] (numeric) 1.96398299615245 absolute error 2.2648549702353193e-14 relative error 1.153194795816597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y1[1] (closed_form) 0.7244097531755764 y1[1] (numeric) 0.72440975317549 absolute error 8.64863736182997e-14 relative error 1.193887482038606e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9612752029753255 y2[1] (numeric) 1.9612752029753018 absolute error 2.375877272697835e-14 relative error 1.211394132293899e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y1[1] (closed_form) 0.7148109407550693 y1[1] (numeric) 0.714810940754982 absolute error 8.737455203799982e-14 relative error 1.2223449174645299e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.958471283078941 y2[1] (numeric) 1.9584712830789164 absolute error 2.4646951146678475e-14 relative error 1.2584790678130673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y1[1] (closed_form) 0.7052406470028301 y1[1] (numeric) 0.7052406470027417 absolute error 8.837375276016246e-14 relative error 1.2531006704695486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.955571516852972 y2[1] (numeric) 1.9555715168529464 absolute error 2.55351295663786e-14 relative error 1.3057630133349114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y1[1] (closed_form) 0.6956998289402584 y1[1] (numeric) 0.6956998289401694 absolute error 8.903988657493755e-14 relative error 1.2798606938076974e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9525761942716247 y2[1] (numeric) 1.952576194271598 absolute error 2.6645352591003757e-14 relative error 1.3646254967757278e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y1[1] (closed_form) 0.6861894406412101 y1[1] (numeric) 0.6861894406411204 absolute error 8.970602038971265e-14 relative error 1.3073069195860374e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.949485614864661 y2[1] (numeric) 1.9494856148646336 absolute error 2.7533531010703882e-14 relative error 1.412348508794477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y1[1] (closed_form) 0.6767104331365897 y1[1] (numeric) 0.6767104331364996 absolute error 9.015010959956271e-14 relative error 1.3321814647028869e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9463000876874463 y2[1] (numeric) 1.9463000876874172 absolute error 2.90878432451791e-14 relative error 1.4945199575950633e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y1[1] (closed_form) 0.6672637543192487 y1[1] (numeric) 0.6672637543191577 absolute error 9.092726571680032e-14 relative error 1.362688519018473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9430199312900438 y2[1] (numeric) 1.9430199312900132 absolute error 3.064215547965432e-14 relative error 1.5770376302475623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y1[1] (closed_form) 0.6578503488491964 y1[1] (numeric) 0.6578503488491046 absolute error 9.170442183403793e-14 relative error 1.3940012647931267e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9396454736853594 y2[1] (numeric) 1.9396454736853277 absolute error 3.175237850427948e-14 relative error 1.637019699478865e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y1[1] (closed_form) 0.6484711580591354 y1[1] (numeric) 0.6484711580590428 absolute error 9.259260025373806e-14 relative error 1.4278599611255858e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9361770523163417 y2[1] (numeric) 1.9361770523163087 absolute error 3.3084646133829665e-14 relative error 1.7087614014559729e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y1[1] (closed_form) 0.6391271198603288 y1[1] (numeric) 0.6391271198602354 absolute error 9.336975637097567e-14 relative error 1.460894921676617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9326150140222376 y2[1] (numeric) 1.9326150140222031 absolute error 3.441691376337985e-14 relative error 1.7808468584619945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y1[1] (closed_form) 0.6298191686488097 y1[1] (numeric) 0.6298191686487159 absolute error 9.381384558082573e-14 relative error 1.489536207386168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9289597150039077 y2[1] (numeric) 1.9289597150038718 absolute error 3.597122599785507e-14 relative error 1.864799234429953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y1[1] (closed_form) 0.6205482352119427 y1[1] (numeric) 0.620548235211848 absolute error 9.470202400052585e-14 relative error 1.5261025433128695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9252115207882081 y2[1] (numeric) 1.9252115207881708 absolute error 3.730349362740526e-14 relative error 1.937630916115269e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y1[1] (closed_form) 0.6113152466353458 y1[1] (numeric) 0.6113152466352504 absolute error 9.536815781530095e-14 relative error 1.560048736559466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9213708061914367 y2[1] (numeric) 1.9213708061913979 absolute error 3.885780586188048e-14 relative error 2.022400139351803e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y1[1] (closed_form) 0.6021211262101824 y1[1] (numeric) 0.6021211262100865 absolute error 9.592326932761353e-14 relative error 1.5930892498551793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9174379552818526 y2[1] (numeric) 1.9174379552818126 absolute error 3.9968028886505635e-14 relative error 2.0844496572318328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y1[1] (closed_form) 0.5929667933408335 y1[1] (numeric) 0.592966793340737 absolute error 9.64783808399261e-14 relative error 1.6270452565540372e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9134133613412692 y2[1] (numeric) 1.913413361341228 absolute error 4.107825191113079e-14 relative error 2.146857168507262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y1[1] (closed_form) 0.5838531634529571 y1[1] (numeric) 0.5838531634528603 absolute error 9.681144774731365e-14 relative error 1.6581471816434553e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9092974268257272 y2[1] (numeric) 1.9092974268256846 absolute error 4.263256414560601e-14 relative error 2.232892767078418e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y1[1] (closed_form) 0.5747811479019476 y1[1] (numeric) 0.5747811479018502 absolute error 9.736655925962623e-14 relative error 1.6939762136429025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9050905633252477 y2[1] (numeric) 1.9050905633252038 absolute error 4.39648317751562e-14 relative error 2.30775547480628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y1[1] (closed_form) 0.5657516538817999 y1[1] (numeric) 0.5657516538817021 absolute error 9.781064846947629e-14 relative error 1.7288619096093963e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9007931915226757 y2[1] (numeric) 1.90079319152263 absolute error 4.574118861455645e-14 relative error 2.4064263707675836e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y1[1] (closed_form) 0.5567655843343918 y1[1] (numeric) 0.5567655843342936 absolute error 9.825473767932635e-14 relative error 1.7647415796504195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8964057411516098 y2[1] (numeric) 1.8964057411515627 absolute error 4.707345624410664e-14 relative error 2.482246031143148e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y1[1] (closed_form) 0.5478238378591894 y1[1] (numeric) 0.5478238378590907 absolute error 9.869882688917642e-14 relative error 1.8016526494151136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.891928650953431 y2[1] (numeric) 1.8919286509533821 absolute error 4.884981308350689e-14 relative error 2.5820113807615943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y1[1] (closed_form) 0.538927308623389 y1[1] (numeric) 0.5389273086232896 absolute error 9.936496070395151e-14 relative error 1.843754419455284e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8873623686334282 y2[1] (numeric) 1.8873623686333776 absolute error 5.062616992290714e-14 relative error 2.6823767795881054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y1[1] (closed_form) 0.5300768862725 y1[1] (numeric) 0.5300768862724003 absolute error 9.969802761133906e-14 relative error 1.88082201267849e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8827073508160286 y2[1] (numeric) 1.8827073508159762 absolute error 5.240252676230739e-14 relative error 2.783360182855523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y1[1] (closed_form) 0.5212734558413827 y1[1] (numeric) 0.5212734558412826 absolute error 1.0014211682118912e-13 relative error 1.9211052413852656e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.877964062999134 y2[1] (numeric) 1.8779640629990801 absolute error 5.395683899678261e-14 relative error 2.873156098131761e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y1[1] (closed_form) 0.5125178976657437 y1[1] (numeric) 0.5125178976656433 absolute error 1.0047518372857667e-13 relative error 1.9604229273980405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8731329795075742 y2[1] (numeric) 1.8731329795075184 absolute error 5.573319583618286e-14 relative error 2.975399848591342e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y1[1] (closed_form) 0.5038110872941044 y1[1] (numeric) 0.5038110872940036 absolute error 1.0080825063596421e-13 relative error 2.0009136991682848e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8682145834456718 y2[1] (numeric) 1.8682145834456148 absolute error 5.706546346573305e-14 relative error 3.0545454452284296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y1[1] (closed_form) 0.49515389540024635 y1[1] (numeric) 0.49515389540014515 absolute error 1.0119682869458302e-13 relative error 2.043744977766617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8632093666489344 y2[1] (numeric) 1.8632093666488758 absolute error 5.861977570020827e-14 relative error 3.146172231070229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y1[1] (closed_form) 0.4865471876961446 y1[1] (numeric) 0.4865471876960429 absolute error 1.0169642905566434e-13 relative error 2.0901657974267268e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.858117829634871 y2[1] (numeric) 1.8581178296348109 absolute error 6.017408793468348e-14 relative error 3.2384430618432835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y1[1] (closed_form) 0.47799182484539715 y1[1] (numeric) 0.47799182484529523 absolute error 1.0191847366058937e-13 relative error 2.1322221084754774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8529404815529402 y2[1] (numeric) 1.852940481552878 absolute error 6.217248937900877e-14 relative error 3.355341955015323e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y1[1] (closed_form) 0.4694886623771599 y1[1] (numeric) 0.46948866237705766 absolute error 1.0225154056797692e-13 relative error 2.1779341816317168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8476778401336353 y2[1] (numeric) 1.8476778401335716 absolute error 6.372680161348399e-14 relative error 3.4490212649232657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y1[1] (closed_form) 0.4610385506005936 y1[1] (numeric) 0.46103855060049104 absolute error 1.0258460747536446e-13 relative error 2.225076565543766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.842330431636713 y2[1] (numeric) 1.8423304316366478 absolute error 6.52811138479592e-14 relative error 3.5433987696747717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y1[1] (closed_form) 0.45264233451983416 y1[1] (numeric) 0.4526423345197313 absolute error 1.0286216323152075e-13 relative error 2.2724821649887784e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8368987907985665 y2[1] (numeric) 1.8368987907984995 absolute error 6.705747068735946e-14 relative error 3.650580588504124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y1[1] (closed_form) 0.4443008537494929 y1[1] (numeric) 0.4443008537493897 absolute error 1.031952301389083e-13 relative error 2.3226430754754337e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8313834607787536 y2[1] (numeric) 1.8313834607786847 absolute error 6.88338275267597e-14 relative error 3.758569900892832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y1[1] (closed_form) 0.4360149424306955 y1[1] (numeric) 0.43601494243059213 absolute error 1.0336176359260207e-13 relative error 2.370601406832093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8257849931056802 y2[1] (numeric) 1.8257849931056096 absolute error 7.061018436615996e-14 relative error 3.867387706262788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y1[1] (closed_form) 0.42778542914766915 y1[1] (numeric) 0.4277854291475655 absolute error 1.0363931934875836e-13 relative error 2.422694002347206e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.820103947621448 y2[1] (numeric) 1.8201039476213756 absolute error 7.238654120556021e-14 relative error 3.977055337974325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y1[1] (closed_form) 0.4196131368448841 y1[1] (numeric) 0.41961313684478035 absolute error 1.0375034165122088e-13 relative error 2.4725236781510405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8143408924258715 y2[1] (numeric) 1.8143408924257975 absolute error 7.394085344003543e-14 relative error 4.07535616645737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y1[1] (closed_form) 0.41149888274476043 y1[1] (numeric) 0.4114988827446565 absolute error 1.0391687510491465e-13 relative error 2.5253258140525976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8084964038196674 y2[1] (numeric) 1.8084964038195916 absolute error 7.571721027943568e-14 relative error 4.18674928628643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y1[1] (closed_form) 0.4034434782659463 y1[1] (numeric) 0.40344347826584226 absolute error 1.0402789740737717e-13 relative error 2.5784999141516157e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8025710662468262 y2[1] (numeric) 1.8025710662467485 absolute error 7.771561172376096e-14 relative error 4.311375744290314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y1[1] (closed_form) 0.39544772894217683 y1[1] (numeric) 0.3954477289420727 absolute error 1.0413891970983968e-13 relative error 2.6334433627526808e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7965654722361672 y2[1] (numeric) 1.796565472236088 absolute error 7.926992395823618e-14 relative error 4.412303652901093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y1[1] (closed_form) 0.3875124343417212 y1[1] (numeric) 0.387512434341617 absolute error 1.042499420123022e-13 relative error 2.6902347582573612e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.790480222342087 y2[1] (numeric) 1.790480222342006 absolute error 8.104628079763643e-14 relative error 4.526510809017572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y1[1] (closed_form) 0.3796383879874268 y1[1] (numeric) 0.3796383879873226 absolute error 1.0419443086107094e-13 relative error 2.744570469109719e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7843159250845042 y2[1] (numeric) 1.7843159250844214 absolute error 8.282263763703668e-14 relative error 4.641702541163737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y1[1] (closed_form) 0.37182637727736734 y1[1] (numeric) 0.37182637727726303 absolute error 1.0430545316353346e-13 relative error 2.805219304969476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7780731968880072 y2[1] (numeric) 1.7780731968879226 absolute error 8.459899447643693e-14 relative error 4.757902803129956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y1[1] (closed_form) 0.36407718340610384 y1[1] (numeric) 0.36407718340599954 absolute error 1.0430545316353346e-13 relative error 2.8649269418014495e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7717526620202135 y2[1] (numeric) 1.7717526620201272 absolute error 8.637535131583718e-14 relative error 4.875135969450105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y1[1] (closed_form) 0.3563915812865659 y1[1] (numeric) 0.3563915812864616 absolute error 1.0430545316353346e-13 relative error 2.926709233338033e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7653549525293428 y2[1] (numeric) 1.765354952529255 absolute error 8.79296635503124e-14 relative error 4.980848946232011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y1[1] (closed_form) 0.34877033947256064 y1[1] (numeric) 0.3487703394724564 absolute error 1.042499420123022e-13 relative error 2.9890713232655505e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7588807081810132 y2[1] (numeric) 1.758880708180923 absolute error 9.015010959956271e-14 relative error 5.125424889831984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y1[1] (closed_form) 0.3412142200819185 y1[1] (numeric) 0.3412142200818144 absolute error 1.0408340855860843e-13 relative error 3.0503830858403306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7523305763942636 y2[1] (numeric) 1.752330576394172 absolute error 9.170442183403793e-14 relative error 5.233283209766066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y1[1] (closed_form) 0.3337239787202819 y1[1] (numeric) 0.333723978720178 absolute error 1.0391687510491465e-13 relative error 3.113857011515941e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7457052121768148 y2[1] (numeric) 1.7457052121767214 absolute error 9.348077867343818e-14 relative error 5.354900588105131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y1[1] (closed_form) 0.3263003644055451 y1[1] (numeric) 0.32630036440544136 absolute error 1.0375034165122088e-13 relative error 3.179596254519468e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7390052780595675 y2[1] (numeric) 1.7390052780594718 absolute error 9.57012247226885e-14 relative error 5.503216461164206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y1[1] (closed_form) 0.3189441194929532 y1[1] (numeric) 0.3189441194928496 absolute error 1.035838081975271e-13 relative error 3.2477102372102424e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.73223144403035 y2[1] (numeric) 1.7322314440302524 absolute error 9.747758156208874e-14 relative error 5.627283923174233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y1[1] (closed_form) 0.31165597960086733 y1[1] (numeric) 0.31165597960076397 absolute error 1.0336176359260207e-13 relative error 3.3165339463396717e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.72538438746692 y2[1] (numeric) 1.7253843874668207 absolute error 9.9253938401489e-14 relative error 5.752569637378381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y1[1] (closed_form) 0.3044366735372033 y1[1] (numeric) 0.30443667353710013 absolute error 1.0313971898767704e-13 relative error 3.3878874640598445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.718464793069228 y2[1] (numeric) 1.7184647930691268 absolute error 1.0125233984581428e-13 relative error 5.892022941300686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y1[1] (closed_form) 0.29728692322655126 y1[1] (numeric) 0.29728692322644834 absolute error 1.0291767438275201e-13 relative error 3.461897121667955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7114733527909483 y2[1] (numeric) 1.711473352790845 absolute error 1.0325074129013956e-13 relative error 6.0328570773109404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y1[1] (closed_form) 0.29020744363798434 y1[1] (numeric) 0.29020744363788165 absolute error 1.0269562977782698e-13 relative error 3.538697301849134e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7044107657702818 y2[1] (numeric) 1.7044107657701766 absolute error 1.0524914273446484e-13 relative error 6.1751043145341275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y1[1] (closed_form) 0.2831989427135617 y1[1] (numeric) 0.2831989427134594 absolute error 1.0230705171920818e-13 relative error 3.61255062391548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6972777382600452 y2[1] (numeric) 1.6972777382599384 absolute error 1.0680345496894006e-13 relative error 6.292632758998478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y1[1] (closed_form) 0.2762621212975356 y1[1] (numeric) 0.2762621212974336 absolute error 1.0197398481182063e-13 relative error 3.69120400338902e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6900749835570457 y2[1] (numeric) 1.6900749835569369 absolute error 1.0880185641326534e-13 relative error 6.437694035579038e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y1[1] (closed_form) 0.2693976730662667 y1[1] (numeric) 0.2693976730661651 absolute error 1.0164091790443308e-13 relative error 3.772895168230772e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.682803221930751 y2[1] (numeric) 1.6828032219306404 absolute error 1.1057821325266559e-13 relative error 6.571072114171172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y1[1] (closed_form) 0.26260628445885803 y1[1] (numeric) 0.26260628445875683 absolute error 1.0119682869458302e-13 relative error 3.853557004666326e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6754631805512639 y2[1] (numeric) 1.6754631805511515 absolute error 1.1235457009206584e-13 relative error 6.705881179382214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y1[1] (closed_form) 0.25588863460851075 y1[1] (numeric) 0.2558886346084099 absolute error 1.0086376178719547e-13 relative error 3.941705419684192e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.668055593416606 y2[1] (numeric) 1.6680555934164916 absolute error 1.1435297153639112e-13 relative error 6.8554652487431125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y1[1] (closed_form) 0.24924539527461176 y1[1] (numeric) 0.2492453952745114 absolute error 1.0036416142611415e-13 relative error 4.026720787179866e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6605812012793173 y2[1] (numeric) 1.6605812012792014 absolute error 1.1590728377086634e-13 relative error 6.979922672951554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y1[1] (closed_form) 0.24267723077555858 y1[1] (numeric) 0.2426772307754587 absolute error 9.989231664064846e-14 relative error 4.11626242484341e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6530407515723835 y2[1] (numeric) 1.6530407515722658 absolute error 1.176836406102666e-13 relative error 7.119221985200614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y1[1] (closed_form) 0.23618479792232772 y1[1] (numeric) 0.23618479792222824 absolute error 9.947598300641403e-14 relative error 4.2117860201623954e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6454349983344911 y2[1] (numeric) 1.6454349983343715 absolute error 1.1968204205459188e-13 relative error 7.273580674759805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y1[1] (closed_form) 0.22976874595279395 y1[1] (numeric) 0.22976874595269503 absolute error 9.892087149410145e-14 relative error 4.3052361662114293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6377647021346262 y2[1] (numeric) 1.6377647021345043 absolute error 1.219024881038422e-13 relative error 7.443223556165131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y1[1] (closed_form) 0.22342971646680765 y1[1] (numeric) 0.22342971646670926 absolute error 9.83935155574045e-14 relative error 4.4037792784838306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6300306299960163 y2[1] (numeric) 1.6300306299958924 absolute error 1.2390088954816747e-13 relative error 7.60113873126852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y1[1] (closed_form) 0.21716834336203494 y1[1] (numeric) 0.21716834336193713 absolute error 9.781064846947629e-14 relative error 4.503909131287107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.622233555319431 y2[1] (numeric) 1.6222335553193048 absolute error 1.2612133559741778e-13 relative error 7.774548565085222e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y1[1] (closed_form) 0.21098525277056845 y1[1] (numeric) 0.21098525277047125 absolute error 9.720002580593246e-14 relative error 4.606958284029008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6143742578058395 y2[1] (numeric) 1.6143742578057116 absolute error 1.2789769243681803e-13 relative error 7.922431358057511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y1[1] (closed_form) 0.2048810629963148 y1[1] (numeric) 0.20488106299621822 absolute error 9.658940314238862e-14 relative error 4.714413412826054e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6064535233784447 y2[1] (numeric) 1.6064535233783148 absolute error 1.2989609388114332e-13 relative error 8.085891810176116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y1[1] (closed_form) 0.19885638445316467 y1[1] (numeric) 0.19885638445306864 absolute error 9.603429163007604e-14 relative error 4.829329060475519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.598472144104088 y2[1] (numeric) 1.5984721441039564 absolute error 1.3167245072054357e-13 relative error 8.237394139535873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y1[1] (closed_form) 0.19291181960395165 y1[1] (numeric) 0.19291181960385637 absolute error 9.528489108845406e-14 relative error 4.93929772079669e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5904309181140464 y2[1] (numeric) 1.590430918113913 absolute error 1.3344880755994382e-13 relative error 8.39073272784392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y1[1] (closed_form) 0.18704796290020698 y1[1] (numeric) 0.18704796290011244 absolute error 9.453549054683208e-14 relative error 5.054077525413535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5823306495242173 y2[1] (numeric) 1.5823306495240814 absolute error 1.3589129821411916e-13 relative error 8.588046894938147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y1[1] (closed_form) 0.18126540072271458 y1[1] (numeric) 0.1812654007226207 absolute error 9.386935673205699e-14 relative error 5.1785589725228853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5741721483547098 y2[1] (numeric) 1.574172148354572 absolute error 1.376676550535194e-13 relative error 8.745400253549564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y1[1] (closed_form) 0.1755647113228732 y1[1] (numeric) 0.17556471132278012 absolute error 9.309220061481938e-14 relative error 5.302443749280439e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.565956230448842 y2[1] (numeric) 1.5659562304487022 absolute error 1.396660564978447e-13 relative error 8.918899122602739e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y1[1] (closed_form) 0.16994646476487252 y1[1] (numeric) 0.16994646476478018 absolute error 9.23428000731974e-14 relative error 5.433640540917236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5576837173915579 y2[1] (numeric) 1.557683717391416 absolute error 1.41886502547095e-13 relative error 9.108813359408619e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y1[1] (closed_form) 0.16441122286868626 y1[1] (numeric) 0.1644112228685948 absolute error 9.145462165349727e-14 relative error 5.562553459415678e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5493554364272695 y2[1] (numeric) 1.549355436427126 absolute error 1.4344081478157023e-13 relative error 9.258096070733586e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y1[1] (closed_form) 0.1589595391538915 y1[1] (numeric) 0.15895953915380087 absolute error 9.06219543850284e-14 relative error 5.7009447100432085e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.540972220377133 y2[1] (numeric) 1.5409722203769876 absolute error 1.454392162258955e-13 relative error 9.438146535198483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y1[1] (closed_form) 0.15359195878431664 y1[1] (numeric) 0.15359195878422688 absolute error 8.97615315409439e-14 relative error 5.844155660973932e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5325349075557677 y2[1] (numeric) 1.5325349075556203 absolute error 1.474376176702208e-13 relative error 9.620506322127978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y1[1] (closed_form) 0.14830901851352563 y1[1] (numeric) 0.14830901851343675 absolute error 8.887335312124378e-14 relative error 5.992444290442029e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5240443416874245 y2[1] (numeric) 1.524044341687275 absolute error 1.4943601911454607e-13 relative error 9.80522777631852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y1[1] (closed_form) 0.14311124663114316 y1[1] (numeric) 0.1431112466310552 absolute error 8.795741912592803e-14 relative error 6.146087131267234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5155013718216144 y2[1] (numeric) 1.5155013718214636 absolute error 1.5076828674409626e-13 relative error 9.94840978354738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y1[1] (closed_form) 0.1379991629100259 y1[1] (numeric) 0.13799916290993897 absolute error 8.693046282814976e-14 relative error 6.299347111607305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5069068522482054 y2[1] (numeric) 1.5069068522480529 absolute error 1.525446435834965e-13 relative error 1.0123030720572408e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y1[1] (closed_form) 0.1329732785542861 y1[1] (numeric) 0.13297327855420005 absolute error 8.604228440844963e-14 relative error 6.470644729822393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4982616424119926 y2[1] (numeric) 1.4982616424118385 absolute error 1.5409895581797173e-13 relative error 1.0285183272121542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y1[1] (closed_form) 0.12803409614817085 y1[1] (numeric) 0.12803409614808586 absolute error 8.498757253505573e-14 relative error 6.637885929752776e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4895666068267552 y2[1] (numeric) 1.4895666068265994 absolute error 1.5587531265737198e-13 relative error 1.0464474159328489e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y1[1] (closed_form) 0.123182109605805 y1[1] (numeric) 0.12318210960572101 absolute error 8.398837181289309e-14 relative error 6.818228075624312e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.480822614988806 y2[1] (numeric) 1.4808226149886483 absolute error 1.5765166949677223e-13 relative error 1.064622243751754e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y1[1] (closed_form) 0.11841780412179947 y1[1] (numeric) 0.1184178041217165 absolute error 8.297529330292264e-14 relative error 7.006994760481947e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.472030541290042 y2[1] (numeric) 1.4720305412898826 absolute error 1.5942802633617248e-13 relative error 1.0830483598285582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y1[1] (closed_form) 0.11374165612273224 y1[1] (numeric) 0.11374165612265041 absolute error 8.182343691487404e-14 relative error 7.193796864236174e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4631912649305066 y2[1] (numeric) 1.4631912649303456 absolute error 1.609823385706477e-13 relative error 1.1002139120772667e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y1[1] (closed_form) 0.10915413321950662 y1[1] (numeric) 0.10915413321942594 absolute error 8.068545831463325e-14 relative error 7.391883013021278e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4543056698304695 y2[1] (numeric) 1.454305669830307 absolute error 1.6253665080512292e-13 relative error 1.1176237167807374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y1[1] (closed_form) 0.10465569416058995 y1[1] (numeric) 0.1046556941605104 absolute error 7.954747971439247e-14 relative error 7.600874501136083e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4453746445420361 y2[1] (numeric) 1.4453746445418716 absolute error 1.645350522494482e-13 relative error 1.1383557396053586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y1[1] (closed_form) 0.10024678878613946 y1[1] (numeric) 0.10024678878606104 absolute error 7.84233789019595e-14 relative error 7.82303152565448e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.436399082160293 y2[1] (numeric) 1.4363990821601262 absolute error 1.667554982986985e-13 relative error 1.1609273520831285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y1[1] (closed_form) 0.0959278579830185 y1[1] (numeric) 0.09592785798294125 absolute error 7.725764472610308e-14 relative error 8.053723532509139e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4273798802339983 y2[1] (numeric) 1.42737988023383 absolute error 1.6830981053317373e-13 relative error 1.1791521855105717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y1[1] (closed_form) 0.09169933364070826 y1[1] (numeric) 0.09169933364063221 absolute error 7.605027718682322e-14 relative error 8.293438367262254e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4183179406758293 y2[1] (numeric) 1.4183179406756592 absolute error 1.7008616737257398e-13 relative error 1.1992104343792467e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y1[1] (closed_form) 0.08756163860811916 y1[1] (numeric) 0.08756163860804442 absolute error 7.474576513288866e-14 relative error 8.536359794203057e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4092141696721896 y2[1] (numeric) 1.409214169672018 absolute error 1.716404796070492e-13 relative error 1.2179871825087884e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y1[1] (closed_form) 0.08351518665130653 y1[1] (numeric) 0.08351518665123307 absolute error 7.345513086676192e-14 relative error 8.795421983962335e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4000694775925933 y2[1] (numeric) 1.40006947759242 absolute error 1.7319479184152442e-13 relative error 1.2370442653983951e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y1[1] (closed_form) 0.07956038241209396 y1[1] (numeric) 0.0795603824120218 absolute error 7.215061881282736e-14 relative error 9.068661641055632e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.390884778898628 y2[1] (numeric) 1.3908847788984533 absolute error 1.7474910407599964e-13 relative error 1.2563880684234297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y1[1] (closed_form) 0.07569762136760971 y1[1] (numeric) 0.07569762136753884 absolute error 7.087386233450843e-14 relative error 9.362759496804305e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3816609920525091 y2[1] (numeric) 1.3816609920523326 absolute error 1.765254609153999e-13 relative error 1.2776322262175522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y1[1] (closed_form) 0.07192728979073915 y1[1] (numeric) 0.0719272897906697 absolute error 6.944445019030354e-14 relative error 9.6548125742456e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3723990394252346 y2[1] (numeric) 1.3723990394250563 absolute error 1.7830181775480014e-13 relative error 1.2991980658152716e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y1[1] (closed_form) 0.06824976471149824 y1[1] (numeric) 0.06824976471143017 absolute error 6.807054919732991e-14 relative error 9.973741226079548e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3630998472043492 y2[1] (numeric) 1.363099847204169 absolute error 1.800781745942004e-13 relative error 1.3210930583224103e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y1[1] (closed_form) 0.06466541387933022 y1[1] (numeric) 0.06466541387926354 absolute error 6.668277041654846e-14 relative error 1.0311968394879951e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3537643453013255 y2[1] (numeric) 1.3537643453011436 absolute error 1.8185453143360064e-13 relative error 1.3433248708668188e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y1[1] (closed_form) 0.06117459572633133 y1[1] (numeric) 0.061174595726266094 absolute error 6.523254159063185e-14 relative error 1.0663338403159053e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3443934672585742 y2[1] (numeric) 1.3443934672583908 absolute error 1.8340884366807586e-13 relative error 1.364249738895822e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y1[1] (closed_form) 0.05777765933140799 y1[1] (numeric) 0.05777765933134414 absolute error 6.385170170375432e-14 relative error 1.1051278719600962e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3349881501560907 y2[1] (numeric) 1.334988150155906 absolute error 1.8474111129762605e-13 relative error 1.383840832415071e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y1[1] (closed_form) 0.05447494438536871 y1[1] (numeric) 0.054474944385306374 absolute error 6.233208393879863e-14 relative error 1.1442340078008461e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3255493345177478 y2[1] (numeric) 1.3255493345175613 absolute error 1.865174681370263e-13 relative error 1.4070956340895739e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y1[1] (closed_form) 0.05126678115695593 y1[1] (numeric) 0.05126678115689517 absolute error 6.07638939165156e-14 relative error 1.1852488598900673e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3160779642172429 y2[1] (numeric) 1.3160779642170546 absolute error 1.8829382497642655e-13 relative error 1.4307193805833314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y1[1] (closed_form) 0.048153490459819204 y1[1] (numeric) 0.04815349045975989 absolute error 5.931366509059899e-14 relative error 1.2317625269572552e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.306574986383714 y2[1] (numeric) 1.306574986383524 absolute error 1.8984813721090177e-13 relative error 1.4530213664686468e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y1[1] (closed_form) 0.04513538362043357 y1[1] (numeric) 0.045135383620375856 absolute error 5.771078059879642e-14 relative error 1.2786150458831983e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.297041351307025 y2[1] (numeric) 1.2970413513068337 absolute error 1.9118040484045196e-13 relative error 1.473973089969722e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y1[1] (closed_form) 0.04221276244696803 y1[1] (numeric) 0.042212762446911925 absolute error 5.610789610699385e-14 relative error 1.3291690203284445e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2874780123427387 y2[1] (numeric) 1.287478012342546 absolute error 1.9273471707492718e-13 relative error 1.4969942416664697e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y1[1] (closed_form) 0.03938591919910439 y1[1] (numeric) 0.039385919199049935 absolute error 5.445643935786393e-14 relative error 1.3826372588278258e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2778859258167827 y2[1] (numeric) 1.2778859258165882 absolute error 1.9451107391432743e-13 relative error 1.5221317488883237e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y1[1] (closed_form) 0.03665513655881181 y1[1] (numeric) 0.03665513655875896 absolute error 5.284661597215745e-14 relative error 1.441724705823071e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2682660509298156 y2[1] (numeric) 1.2682660509296195 absolute error 1.9606538614880265e-13 relative error 1.5459326219846334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y1[1] (closed_form) 0.03402068760207855 y1[1] (numeric) 0.03402068760202741 absolute error 5.113964807179627e-14 relative error 1.5031926652967418e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2586193496613098 y2[1] (numeric) 1.2586193496611122 absolute error 1.9761969838327786e-13 relative error 1.5701307820863922e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y1[1] (closed_form) 0.031482835771605044 y1[1] (numeric) 0.03148283577155558 absolute error 4.946737464095463e-14 relative error 1.5712490132661485e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2489467866733535 y2[1] (numeric) 1.2489467866731543 absolute error 1.9917401061775308e-13 relative error 1.5947357625080672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y1[1] (closed_form) 0.029041834850459303 y1[1] (numeric) 0.029041834850411636 absolute error 4.7666731672890705e-14 relative error 1.6413126759494965e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2392493292141846 y2[1] (numeric) 1.239249329213984 absolute error 2.007283228522283e-13 relative error 1.619757365368205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y1[1] (closed_form) 0.026697928936699533 y1[1] (numeric) 0.026697928936653553 absolute error 4.598058045424125e-14 relative error 1.7222527096862326e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2295279470214682 y2[1] (numeric) 1.2295279470212659 absolute error 2.0228263508670352e-13 relative error 1.6452056708164567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y1[1] (closed_form) 0.024451352418963568 y1[1] (numeric) 0.02445135241891945 absolute error 4.411748744104216e-14 relative error 1.8042964121210023e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2197836122253223 y2[1] (numeric) 1.219783612225118 absolute error 2.042810365310288e-13 relative error 1.674731767861244e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y1[1] (closed_form) 0.022302329953031275 y1[1] (numeric) 0.022302329952988965 absolute error 4.2309905579074325e-14 relative error 1.8971069690108173e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2100172992511062 y2[1] (numeric) 1.2100172992509004 absolute error 2.0583534876550402e-13 relative error 1.7010942644613255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y1[1] (closed_form) 0.020251076439358306 y1[1] (numeric) 0.02025107643931783 absolute error 4.0478037588442817e-14 relative error 1.9988091847687204e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2002299847219788 y2[1] (numeric) 1.2002299847217717 absolute error 2.071676163950542e-13 relative error 1.7260659959519548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y1[1] (closed_form) 0.018297797001586735 y1[1] (numeric) 0.018297797001548054 absolute error 3.8680864067330845e-14 relative error 2.113962902964578e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1904226473612372 y2[1] (numeric) 1.1904226473610284 absolute error 2.0872192862952943e-13 relative error 1.7533430592251844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y1[1] (closed_form) 0.01644268696603246 y1[1] (numeric) 0.016442686965995677 absolute error 3.678307658461222e-14 relative error 2.237047792772509e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1805962678944444 y2[1] (numeric) 1.1805962678942343 absolute error 2.1005419625907962e-13 relative error 1.7792212458345693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y1[1] (closed_form) 0.014685931842153166 y1[1] (numeric) 0.014685931842118336 absolute error 3.482977795066233e-14 relative error 2.371642353036809e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1707518289513583 y2[1] (numeric) 1.1707518289511472 absolute error 2.1116441928370477e-13 relative error 1.8036650813763376e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y1[1] (closed_form) 0.013027707303997382 y1[1] (numeric) 0.013027707303964466 absolute error 3.2916377956659915e-14 relative error 2.5266439588000227e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1608903149676701 y2[1] (numeric) 1.1608903149674574 absolute error 2.1271873151818e-13 relative error 1.832375796193149e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y1[1] (closed_form) 0.011468179172636983 y1[1] (numeric) 0.011468179172606029 absolute error 3.0954405705330146e-14 relative error 2.699156094385689e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1510127120865599 y2[1] (numeric) 1.1510127120863454 absolute error 2.1449508835758024e-13 relative error 1.863533617875886e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y1[1] (closed_form) 0.010007503399585449 y1[1] (numeric) 0.010007503399556562 absolute error 2.888661532196579e-14 relative error 2.886495679148347e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1411200080600845 y2[1] (numeric) 1.1411200080598685 absolute error 2.1604940059205546e-13 relative error 1.893310073138947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y1[1] (closed_form) 0.00864582605120312 y1[1] (numeric) 0.008645826051176144 absolute error 2.6976684774915327e-14 relative error 3.1201974935826237e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1312131921504025 y2[1] (numeric) 1.1312131921501853 absolute error 2.1715962361668062e-13 relative error 1.9197055437787696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y1[1] (closed_form) 0.007383283294089771 y1[1] (numeric) 0.007383283294064886 absolute error 2.4884608262887298e-14 relative error 3.370398679244385e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1212932550308496 y2[1] (numeric) 1.121293255030631 absolute error 2.1871393585115584e-13 relative error 1.950550713382633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y1[1] (closed_form) 0.006220001381469165 y1[1] (numeric) 0.006220001381446381 absolute error 2.2783858133479384e-14 relative error 3.662998886360028e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.111361188686871 y2[1] (numeric) 1.111361188686651 absolute error 2.2004620348070603e-13 relative error 1.979970199793477e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y1[1] (closed_form) 0.005156096640563268 y1[1] (numeric) 0.005156096640542494 absolute error 2.0774180986560253e-14 relative error 4.029051903940035e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1014179863168245 y2[1] (numeric) 1.101417986316603 absolute error 2.2160051571518125e-13 relative error 2.011956572964821e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y1[1] (closed_form) 0.004191675460959332 y1[1] (numeric) 0.004191675460940731 absolute error 1.8601439832899302e-14 relative error 4.437709933927486e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.091464642232661 y2[1] (numeric) 1.091464642232438 absolute error 2.2293278334473143e-13 relative error 2.0425103546067063e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y1[1] (closed_form) 0.0033268342839718468 y1[1] (numeric) 0.0033268342839553695 absolute error 1.6477270936565702e-14 relative error 4.952837902371798e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0815021517604944 y2[1] (numeric) 1.0815021517602703 absolute error 2.240430063693566e-13 relative error 2.0715909441756928e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y1[1] (closed_form) 0.0025616595929977004 y1[1] (numeric) 0.0025616595929834093 absolute error 1.429108567596593e-14 relative error 5.578838700907267e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0715315111410701 y2[1] (numeric) 1.0715315111408448 absolute error 2.2537527399890678e-13 relative error 2.103300478386356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y1[1] (closed_form) 0.0018962279048684305 y1[1] (numeric) 0.0018962279048563028 absolute error 1.2127668660988355e-14 relative error 6.395680935741652e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.061553717430141 y2[1] (numeric) 1.0615537174299148 absolute error 2.262634524186069e-13 relative error 2.1314366734672276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y1[1] (closed_form) 0.0013306057621982337 y1[1] (numeric) 0.0013306057621883369 absolute error 9.896814270882182e-15 relative error 7.437826103001465e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0515697683987635 y2[1] (numeric) 1.051569768398536 absolute error 2.2737367544323206e-13 relative error 2.1622310024132433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y1[1] (closed_form) 0.0008648497267300659 y1[1] (numeric) 0.0008648497267224304 absolute error 7.635493799729165e-15 relative error 8.828694238707127e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0415806624335209 y2[1] (numeric) 1.0415806624332924 absolute error 2.284838984678572e-13 relative error 2.193626540013076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y1[1] (closed_form) 0.0004990063736793893 y1[1] (numeric) 0.0004990063736740012 absolute error 5.388051116383963e-15 relative error 1.0797559711823995e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0315873984366852 y2[1] (numeric) 1.0315873984364554 absolute error 2.298161660974074e-13 relative error 2.227791522518415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y1[1] (closed_form) 0.00023311228707667553 y1[1] (numeric) 0.00023311228707348716 absolute error 3.188367538736747e-15 relative error 1.367738946204936e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0215909757263286 y2[1] (numeric) 1.021590975726098 absolute error 2.3070434451710753e-13 relative error 2.258284871331032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y1[1] (closed_form) 6.719405610888796e-05 y1[1] (numeric) 6.71940561079666e-05 absolute error 9.213550061781817e-16 relative error 1.3711852796698656e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0115923939363918 y2[1] (numeric) 1.0115923939361602 absolute error 2.3159252293680765e-13 relative error 2.2893857676767985e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y1[1] (closed_form) 1.2682724608303886e-06 y1[1] (numeric) 1.2682724622741122e-06 absolute error 1.4437236128816977e-15 relative error 1.1383386909910779e-07% Desired digits 8 Estimated correct digits 5 Correct digits 9 h 0.001 y2[1] (closed_form) 1.0015926529167218 y2[1] (numeric) 1.0015926529164891 absolute error 2.327027459614328e-13 relative error 2.3233272057635695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y1[1] (closed_form) 3.534152865602991e-05 y1[1] (numeric) 3.534152865983519e-05 absolute error 3.805285351144577e-15 relative error 1.0767178149480884e-08% Desired digits 8 Estimated correct digits 7 Correct digits 10 h 0.001 y2[1] (closed_form) 0.9915927526330872 y2[1] (numeric) 0.9915927526328535 absolute error 2.3370194668359545e-13 relative error 2.3568339528805602e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y1[1] (closed_form) 0.00016941041739726437 y1[1] (numeric) 0.00016941041740342654 absolute error 6.162171467538613e-15 relative error 3.6374218080629788e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9815936930671832 y2[1] (numeric) 0.9815936930669485 absolute error 2.347011474057581e-13 relative error 2.3910213468506305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y1[1] (closed_form) 0.00040346153190740086 y1[1] (numeric) 0.00040346153191589743 absolute error 8.496567165117153e-15 relative error 2.105917539386931e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9715964741166342 y2[1] (numeric) 0.9715964741163984 absolute error 2.3581137043038325e-13 relative error 2.4270504958839068e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y1[1] (closed_form) 0.000737471467269879 y1[1] (numeric) 0.0007374714672808365 absolute error 1.095748925622475e-14 relative error 1.4858187391017852e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9616020954950039 y2[1] (numeric) 0.9616020954947672 absolute error 2.3669954885008337e-13 relative error 2.461512406836401e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y1[1] (closed_form) 0.0011714068227697272 y1[1] (numeric) 0.0011714068227830494 absolute error 1.3322242614632884e-14 relative error 1.1372857282095362e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 0.9516115566318258 y2[1] (numeric) 0.9516115566315881 absolute error 2.37698749572246e-13 relative error 2.497854801317956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y1[1] (closed_form) 0.0017052242052327804 y1[1] (numeric) 0.001705224205248597 absolute error 1.5816558132653036e-14 relative error 9.275353988124931e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9416258565726611 y2[1] (numeric) 0.9416258565724226 absolute error 2.384759056894836e-13 relative error 2.5325972521346274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y1[1] (closed_form) 0.002338870233365875 y1[1] (numeric) 0.0023388702333840793 absolute error 1.8204188156900614e-14 relative error 7.783325426611168e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9316459938791941 y2[1] (numeric) 0.9316459938789546 absolute error 2.3947510641164627e-13 relative error 2.5704517379452054e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y1[1] (closed_form) 0.0030722815430940242 y1[1] (numeric) 0.0030722815431147195 absolute error 2.069525106840331e-14 relative error 6.736118021124326e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9216729665293778 y2[1] (numeric) 0.9216729665291373 absolute error 2.404743071338089e-13 relative error 2.609106655686466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y1[1] (closed_form) 0.0039053847938974595 y1[1] (numeric) 0.003905384793920719 absolute error 2.3259606046766024e-14 relative error 5.955778309761282e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9117077718176362 y2[1] (numeric) 0.9117077718173949 absolute error 2.412514632510465e-13 relative error 2.6461490261300823e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y1[1] (closed_form) 0.004838096676145542 y1[1] (numeric) 0.004838096676171247 absolute error 2.570426510528634e-14 relative error 5.312887861878081e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9017514062551362 y2[1] (numeric) 0.9017514062548942 absolute error 2.419175970658216e-13 relative error 2.6827526454377926e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y1[1] (closed_form) 0.005870323919427101 y1[1] (numeric) 0.005870323919455334 absolute error 2.8233491933260524e-14 relative error 4.809528796158135e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.891804865470137 y2[1] (numeric) 0.8918048654698943 absolute error 2.426947531830592e-13 relative error 2.7213885299349276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y1[1] (closed_form) 0.007001963301877967 y1[1] (numeric) 0.007001963301908839 absolute error 3.087200634022125e-14 relative error 4.409050006294834e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8818691441084286 y2[1] (numeric) 0.8818691441081853 absolute error 2.433608869978343e-13 relative error 2.7596031522780244e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y1[1] (closed_form) 0.008232901660503167 y1[1] (numeric) 0.008232901660536546 absolute error 3.337954912474572e-14 relative error 4.05440882221174e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8719452357338674 y2[1] (numeric) 0.8719452357336231 absolute error 2.4424906541753444e-13 relative error 2.8011973161590098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y1[1] (closed_form) 0.009563015902492422 y1[1] (numeric) 0.009563015902528376 absolute error 3.5953878763095304e-14 relative error 3.7596799095277665e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8620341327290207 y2[1] (numeric) 0.8620341327287757 absolute error 2.4502622153477205e-13 relative error 2.8424190206839025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y1[1] (closed_form) 0.010992173017529971 y1[1] (numeric) 0.010992173017568552 absolute error 3.858025010572419e-14 relative error 3.5097928357020604e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8521368261959301 y2[1] (numeric) 0.8521368261956844 absolute error 2.4569235534954714e-13 relative error 2.8832500579320767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y1[1] (closed_form) 0.012520230091095264 y1[1] (numeric) 0.012520230091136527 absolute error 4.126386732306031e-14 relative error 3.2957754787915855e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8422543058570009 y2[1] (numeric) 0.8422543058567544 absolute error 2.4646951146678475e-13 relative error 2.9263075267510794e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y1[1] (closed_form) 0.014147034318754415 y1[1] (numeric) 0.014147034318798324 absolute error 4.390932062392494e-14 relative error 3.1037827176057185e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8323875599560316 y2[1] (numeric) 0.8323875599557845 absolute error 2.4713564528155985e-13 relative error 2.968997341750447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y1[1] (closed_form) 0.01587242302144032 y1[1] (numeric) 0.015872423021486844 absolute error 4.6525283625697966e-14 relative error 2.9312023477985723e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8225375751593903 y2[1] (numeric) 0.8225375751591424 absolute error 2.4791280139879746e-13 relative error 3.01399971120781e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y1[1] (closed_form) 0.01769622366172041 y1[1] (numeric) 0.017696223661769636 absolute error 4.922451335431788e-14 relative error 2.7816394217935826e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8127053364573481 y2[1] (numeric) 0.8127053364570995 absolute error 2.4857893521357255e-13 relative error 3.0586600587261965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y1[1] (closed_form) 0.01961825386105054 y1[1] (numeric) 0.0196182538611025 absolute error 5.196190699940928e-14 relative error 2.648650963915438e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8028918270655818 y2[1] (numeric) 0.8028918270653327 absolute error 2.4913404672588513e-13 relative error 3.1029590578399966e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y1[1] (closed_form) 0.021638321418012585 y1[1] (numeric) 0.021638321418067187 absolute error 5.460215612984598e-14 relative error 2.523400733126785e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7930980283268527 y2[1] (numeric) 0.793098028326603 absolute error 2.496891582381977e-13 relative error 3.148276118715749e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y1[1] (closed_form) 0.023756224327533992 y1[1] (numeric) 0.02375622432759139 absolute error 5.739853037312059e-14 relative error 2.416147009800477e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7833249196128731 y2[1] (numeric) 0.783324919612623 absolute error 2.5013324744804777e-13 relative error 3.193224691123909e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y1[1] (closed_form) 0.025971750801088933 y1[1] (numeric) 0.025971750801149066 absolute error 6.013245457126004e-14 relative error 2.315302307949868e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7735734782263703 y2[1] (numeric) 0.7735734782261195 absolute error 2.5079938126282286e-13 relative error 3.2420886744701914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y1[1] (closed_form) 0.028284679287876258 y1[1] (numeric) 0.02828467928793912 absolute error 6.286290932244754e-14 relative error 2.222507410553976e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7638446793033568 y2[1] (numeric) 0.7638446793031055 absolute error 2.512434704726729e-13 relative error 3.289195791765055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y1[1] (closed_form) 0.030694778496974662 y1[1] (numeric) 0.03069477849704031 absolute error 6.564887522486629e-14 relative error 2.1387636086488382e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7541394957156173 y2[1] (numeric) 0.7541394957153659 absolute error 2.5146551507759796e-13 relative error 3.334469504729726e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y1[1] (closed_form) 0.03320180742047163 y1[1] (numeric) 0.033201807420540144 absolute error 6.851463840717997e-14 relative error 2.0635815857703908e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7444588979734234 y2[1] (numeric) 0.7444588979731716 absolute error 2.517985819849855e-13 relative error 3.3823033436827095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y1[1] (closed_form) 0.035805515357564155 y1[1] (numeric) 0.035805515357635445 absolute error 7.129019596874286e-14 relative error 1.9910395160303798e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7348038541284818 y2[1] (numeric) 0.7348038541282297 absolute error 2.5213164889237305e-13 relative error 3.4312782584872966e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y1[1] (closed_form) 0.03850564193962813 y1[1] (numeric) 0.03850564193970226 absolute error 7.412820357544092e-14 relative error 1.9251257696642055e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7251753296771313 y2[1] (numeric) 0.7251753296768788 absolute error 2.524647157997606e-13 relative error 3.4814300137894253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y1[1] (closed_form) 0.04130191715625553 y1[1] (numeric) 0.041301917156332475 absolute error 7.694539450042726e-14 relative error 1.8629981317652518e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7155742874637934 y2[1] (numeric) 0.7155742874635403 absolute error 2.530198273120732e-13 relative error 3.5358988122512084e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y1[1] (closed_form) 0.0441940613822549 y1[1] (numeric) 0.04419406138233466 absolute error 7.975564653150968e-14 relative error 1.8046688635757226e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.7060016875846884 y2[1] (numeric) 0.7060016875844353 absolute error 2.531308496145357e-13 relative error 3.585414228690089e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y1[1] (closed_form) 0.047181785405613685 y1[1] (numeric) 0.04718178540569631 absolute error 8.262140971382337e-14 relative error 1.7511293606958984e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6964584872918271 y2[1] (numeric) 0.6964584872915739 absolute error 2.532418719169982e-13 relative error 3.636137351153937e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y1[1] (closed_form) 0.050264790456419295 y1[1] (numeric) 0.05026479045650486 absolute error 8.556350072908003e-14 relative error 1.7022551959759092e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6869456408972863 y2[1] (numeric) 0.6869456408970326 absolute error 2.5368596112684827e-13 relative error 3.692955395939109e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y1[1] (closed_form) 0.053442768236735994 y1[1] (numeric) 0.05344276823682438 absolute error 8.838763054797028e-14 relative error 1.653874480386919e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6774640996777779 y2[1] (numeric) 0.6774640996775239 absolute error 2.540190280342358e-13 relative error 3.7495570341669e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y1[1] (closed_form) 0.05671540095143379 y1[1] (numeric) 0.05671540095152516 absolute error 9.137135492665038e-14 relative error 1.6110501450019366e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6680148117795227 y2[1] (numeric) 0.6680148117792687 absolute error 2.540190280342358e-13 relative error 3.8025957442104504e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y1[1] (closed_form) 0.06008236133996869 y1[1] (numeric) 0.06008236134006291 absolute error 9.421630142725235e-14 relative error 1.5681191505463797e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6585987221234362 y2[1] (numeric) 0.6585987221231822 absolute error 2.540190280342358e-13 relative error 3.856962054454563e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y1[1] (closed_form) 0.0635433127091074 y1[1] (numeric) 0.06354331270920456 absolute error 9.715839244250901e-14 relative error 1.5290105016602904e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6492167723106372 y2[1] (numeric) 0.6492167723103832 absolute error 2.540190280342358e-13 relative error 3.912699715538045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y1[1] (closed_form) 0.06709790896659718 y1[1] (numeric) 0.06709790896669733 absolute error 1.0015599460899693e-13 relative error 1.4926842900403469e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6398699005282886 y2[1] (numeric) 0.6398699005280347 absolute error 2.539080057317733e-13 relative error 3.968119230520799e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y1[1] (closed_form) 0.07074579465577457 y1[1] (numeric) 0.07074579465587762 absolute error 1.0304257447302234e-13 relative error 1.4565187227649802e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.63055904145578 y2[1] (numeric) 0.630559041455526 absolute error 2.540190280342358e-13 relative error 4.028473328172073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y1[1] (closed_form) 0.07448660499111037 y1[1] (numeric) 0.07448660499121637 absolute error 1.0599854327608682e-13 relative error 1.4230551021722262e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6212851261712593 y2[1] (numeric) 0.6212851261710052 absolute error 2.5413005033669833e-13 relative error 4.090393277283232e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y1[1] (closed_form) 0.07831996589468848 y1[1] (numeric) 0.07831996589479742 absolute error 1.0894063429134349e-13 relative error 1.3909688678596788e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.6120490820585267 y2[1] (numeric) 0.6120490820582726 absolute error 2.5413005033669833e-13 relative error 4.1521188052757725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y1[1] (closed_form) 0.08224549403361292 y1[1] (numeric) 0.08224549403372484 absolute error 1.119243586700236e-13 relative error 1.3608570291313614e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.602851832714297 y2[1] (numeric) 0.6028518327140429 absolute error 2.5413005033669833e-13 relative error 4.21546450630325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y1[1] (closed_form) 0.08626279685834115 y1[1] (numeric) 0.08626279685845603 absolute error 1.1488032747308807e-13 relative error 1.3317482351255315e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5936942978558402 y2[1] (numeric) 0.5936942978555859 absolute error 2.5424107263916085e-13 relative error 4.2823566532029455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y1[1] (closed_form) 0.09037147264193834 y1[1] (numeric) 0.09037147264205624 absolute error 1.178918074273838e-13 relative error 1.3045245803892568e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5845773932290106 y2[1] (numeric) 0.5845773932287567 absolute error 2.539080057317733e-13 relative error 4.3434455159011564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y1[1] (closed_form) 0.09457111052025013 y1[1] (numeric) 0.09457111052037101 absolute error 1.2087553180606392e-13 relative error 1.2781443629149446e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5755020305166739 y2[1] (numeric) 0.5755020305164201 absolute error 2.537969834293108e-13 relative error 4.410010216670427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y1[1] (closed_form) 0.0988612905329882 y1[1] (numeric) 0.09886129053311217 absolute error 1.2397027848720654e-13 relative error 1.2539819965817655e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5664691172475385 y2[1] (numeric) 0.566469117247285 absolute error 2.5346391652192324e-13 relative error 4.474452513024878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y1[1] (closed_form) 0.10324158366572667 y1[1] (numeric) 0.10324158366585362 absolute error 1.2695400286588665e-13 relative error 1.229678956465212e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5574795567054036 y2[1] (numeric) 0.5574795567051503 absolute error 2.533528942194607e-13 relative error 4.5446131821716895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y1[1] (closed_form) 0.10771155189280235 y1[1] (numeric) 0.1077115518929323 absolute error 1.2995160503237457e-13 relative error 1.206477882351061e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5485342478388324 y2[1] (numeric) 0.5485342478385794 absolute error 2.530198273120732e-13 relative error 4.612653235580911e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y1[1] (closed_form) 0.11227074822111738 y1[1] (numeric) 0.11227074822125045 absolute error 1.3307410728913283e-13 relative error 1.1852963429712181e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5396340851712571 y2[1] (numeric) 0.5396340851710043 absolute error 2.5279778270714814e-13 relative error 4.6846148094392667e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y1[1] (closed_form) 0.11691871673483845 y1[1] (numeric) 0.11691871673497456 absolute error 1.361133428190442e-13 relative error 1.1641706872966926e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5307799587115278 y2[1] (numeric) 0.5307799587112753 absolute error 2.525757381022231e-13 relative error 4.7585771458921047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y1[1] (closed_form) 0.12165499264098745 y1[1] (numeric) 0.12165499264112656 absolute error 1.3911094498553211e-13 relative error 1.1434873486537328e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5219727538649118 y2[1] (numeric) 0.5219727538646596 absolute error 2.5224267119483557e-13 relative error 4.8324873152309544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y1[1] (closed_form) 0.12647910231592052 y1[1] (numeric) 0.1264791023160627 absolute error 1.4219181387886692e-13 relative error 1.1242316815603187e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5132133513445547 y2[1] (numeric) 0.5132133513443029 absolute error 2.517985819849855e-13 relative error 4.906313939910268e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y1[1] (closed_form) 0.1313905633526904 y1[1] (numeric) 0.13139056335283564 absolute error 1.452449271965861e-13 relative error 1.1054441315294963e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.5045026270834089 y2[1] (numeric) 0.5045026270831577 absolute error 2.511324481702104e-13 relative error 4.9778224074280383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y1[1] (closed_form) 0.1363888846092861 y1[1] (numeric) 0.13638888460943444 absolute error 1.4832579608992091e-13 relative error 1.0875211459851038e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.49584145214664166 y2[1] (numeric) 0.4958414521463911 absolute error 2.5057733665789783e-13 relative error 5.0535778235779956e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y1[1] (closed_form) 0.14147356625774743 y1[1] (numeric) 0.14147356625789878 absolute error 1.5135115383202447e-13 relative error 1.0698193156188718e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.4872306926445289 y2[1] (numeric) 0.487230692644279 absolute error 2.4991120284312274e-13 relative error 5.129217157619657e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y1[1] (closed_form) 0.1466440998341466 y1[1] (numeric) 0.14664409983430102 absolute error 1.5440426714974365e-13 relative error 1.0529183739705432e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.47867120964584553 y2[1] (numeric) 0.4786712096455962 absolute error 2.4935609133081016e-13 relative error 5.209339653314459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y1[1] (closed_form) 0.15189996828943475 y1[1] (numeric) 0.1518999682895923 absolute error 1.5754064719430971e-13 relative error 1.0371341677578697e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.4701638590917582 y2[1] (numeric) 0.4701638590915095 absolute error 2.4868995751603507e-13 relative error 5.289431603620988e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y1[1] (closed_form) 0.1572406460411463 y1[1] (numeric) 0.15724064604130694 absolute error 1.6064927166326015e-13 relative error 1.0216777640383256e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 0.4617094917102331 y2[1] (numeric) 0.46170949170998504 absolute error 2.4807933485249123e-13 relative error 5.3730611847196925e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y1[1] (closed_form) 0.16266559902595668 y1[1] (numeric) 0.1626655990261203 absolute error 1.6361911825413245e-13 relative error 1.0058618370072434e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 0.45330895293096307 y2[1] (numeric) 0.45330895293071566 absolute error 2.4741320103771614e-13 relative error 5.457937670059565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y1[1] (closed_form) 0.16817428475308793 y1[1] (numeric) 0.16817428475325472 absolute error 1.6678325387431414e-13 relative error 9.917286350834428e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4449630828008255 y2[1] (numeric) 0.4449630828005789 absolute error 2.4663604492047853e-13 relative error 5.5428428661547595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y1[1] (closed_form) 0.1737661523585582 y1[1] (numeric) 0.17376615235872805 absolute error 1.6986412276764895e-13 relative error 9.775443632839519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.43667271589987866 y2[1] (numeric) 0.43667271589963286 absolute error 2.4580337765200966e-13 relative error 5.62900700460452e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y1[1] (closed_form) 0.1794406426602667 y1[1] (numeric) 0.17944064266043958 absolute error 1.7286172493413687e-13 relative error 9.63336523829857e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4284386812579041 y2[1] (numeric) 0.428438681257659 absolute error 2.450817326860033e-13 relative error 5.720345603866549e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y1[1] (closed_form) 0.18519718821391196 y1[1] (numeric) 0.1851971882140879 absolute error 1.7594259382747168e-13 relative error 9.500284292882959e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.420261802271504 y2[1] (numeric) 0.42026180227125975 absolute error 2.4424906541753444e-13 relative error 5.8118311989663264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y1[1] (closed_form) 0.1910352133697356 y1[1] (numeric) 0.19103521336991464 absolute error 1.790234627208065e-13 relative error 9.371228453799185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4121428966217633 y2[1] (numeric) 0.4121428966215199 absolute error 2.433608869978343e-13 relative error 5.904769656170354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y1[1] (closed_form) 0.19695413433008735 y1[1] (numeric) 0.1969541343302694 absolute error 1.8204882046291004e-13 relative error 9.243208886278234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4040827761924811 y2[1] (numeric) 0.40408277619223865 absolute error 2.424727085781342e-13 relative error 6.000570251047635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y1[1] (closed_form) 0.20295335920780333 y1[1] (numeric) 0.20295335920798843 absolute error 1.8510193378062922e-13 relative error 9.120417346288115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.39608224698898364 y2[1] (numeric) 0.39608224698874206 absolute error 2.4158453015843406e-13 relative error 6.099352646955503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y1[1] (closed_form) 0.2090322880853952 y1[1] (numeric) 0.20903228808558338 absolute error 1.8818280267396403e-13 relative error 9.002571057208463e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3881421090575241 y2[1] (numeric) 0.3881421090572836 absolute error 2.4052981828504016e-13 relative error 6.196952422119001e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y1[1] (closed_form) 0.21519031307504088 y1[1] (numeric) 0.2151903130752322 absolute error 1.913191827185301e-13 relative error 8.890696796923825e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.38026315640527897 y2[1] (numeric) 0.3802631564050395 absolute error 2.3947510641164627e-13 relative error 6.297615279783171e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y1[1] (closed_form) 0.22142681837937328 y1[1] (numeric) 0.2214268183795676 absolute error 1.9431678488501802e-13 relative error 8.775666213660384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3724461769209476 y2[1] (numeric) 0.37244617692070925 absolute error 2.383648833870211e-13 relative error 6.399982015055413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y1[1] (closed_form) 0.2277411803530588 y1[1] (numeric) 0.22774118035325622 absolute error 1.9742540935396846e-13 relative error 8.668849834180499e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3646919522959644 y2[1] (numeric) 0.3646919522957271 absolute error 2.373101715136272e-13 relative error 6.507140341858683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y1[1] (closed_form) 0.23413276756516221 y1[1] (numeric) 0.23413276756536264 absolute error 2.0042301152045638e-13 relative error 8.560229036060749e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.35700125794633 y2[1] (numeric) 0.3570012579460938 absolute error 2.3619994848900205e-13 relative error 6.616221742403813e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y1[1] (closed_form) 0.24060094086228845 y1[1] (numeric) 0.24060094086249198 absolute error 2.0353163598940682e-13 relative error 8.459303411697846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.34937486293507036 y2[1] (numeric) 0.3493748629348353 absolute error 2.350897254643769e-13 relative error 6.728867769404097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y1[1] (closed_form) 0.24714505343249804 y1[1] (numeric) 0.24714505343270457 absolute error 2.0652923815589475e-13 relative error 8.356600113475605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3418135298953314 y2[1] (numeric) 0.3418135298950975 absolute error 2.339239912885205e-13 relative error 6.843614158870528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y1[1] (closed_form) 0.25376445086998733 y1[1] (numeric) 0.253764450870197 absolute error 2.0966561820046081e-13 relative error 8.262213934286645e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.33431801495411606 y2[1] (numeric) 0.3343180149538834 absolute error 2.3264723481020155e-13 relative error 6.958860258910413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y1[1] (closed_form) 0.2604584712405287 y1[1] (numeric) 0.26045847124074145 absolute error 2.1277424266941125e-13 relative error 8.169219517261088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.32688906765667214 y2[1] (numeric) 0.32688906765644077 absolute error 2.313704783318826e-13 relative error 7.077950938845357e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y1[1] (closed_form) 0.26722644514766347 y1[1] (numeric) 0.2672264451478792 absolute error 2.1571633368466792e-13 relative error 8.0724171429017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3195274308915387 y2[1] (numeric) 0.3195274308913086 absolute error 2.300937218535637e-13 relative error 7.201063182949929e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y1[1] (closed_form) 0.27406769579964085 y1[1] (numeric) 0.27406769579985973 absolute error 2.188804693048496e-13 relative error 7.986365144794874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.3122338408162574 y2[1] (numeric) 0.3122338408160287 absolute error 2.2870594307278225e-13 relative error 7.324828803786537e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y1[1] (closed_form) 0.28098153907709666 y1[1] (numeric) 0.2809815390773186 absolute error 2.219335826225688e-13 relative error 7.898511174489436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.30500902678375796 y2[1] (numeric) 0.30500902678353065 absolute error 2.273181642920008e-13 relative error 7.452833992784167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y1[1] (closed_form) 0.28796728360146473 y1[1] (numeric) 0.2879672836016897 absolute error 2.2498669594028797e-13 relative error 7.812925590938331e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.29785371126942284 y2[1] (numeric) 0.297853711269197 absolute error 2.2581936320875684e-13 relative error 7.581552777916959e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y1[1] (closed_form) 0.295024230804114 y1[1] (numeric) 0.29502423080434204 absolute error 2.2803980925800715e-13 relative error 7.72952813524723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.2907686097988409 y2[1] (numeric) 0.2907686097986165 absolute error 2.2437607327674414e-13 relative error 7.716653920516787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y1[1] (closed_form) 0.302151674996205 y1[1] (numeric) 0.302151674996436 absolute error 2.310374114244951e-13 relative error 7.646405118468957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.28375443087625485 y2[1] (numeric) 0.283754430876032 absolute error 2.2282176104226892e-13 relative error 7.852626665746811e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y1[1] (closed_form) 0.309348903439258 y1[1] (numeric) 0.30934890343949206 absolute error 2.34035013590983e-13 relative error 7.565406277153227e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.2768118759137118 y2[1] (numeric) 0.2768118759134906 absolute error 2.2121193765656244e-13 relative error 7.991417887197836e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y1[1] (closed_form) 0.31661519641642644 y1[1] (numeric) 0.3166151964166635 absolute error 2.370881269087022e-13 relative error 7.488210597348375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.2699416391609226 y2[1] (numeric) 0.2699416391607029 absolute error 2.1971313657331848e-13 relative error 8.139282893008552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y1[1] (closed_form) 0.32394982730446775 y1[1] (numeric) 0.32394982730470784 absolute error 2.400857290751901e-13 relative error 7.411201020630363e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.26314440763583735 y2[1] (numeric) 0.2631444076356193 absolute error 2.1804780203638074e-13 relative error 8.286241155393837e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y1[1] (closed_form) 0.3313520626464054 y1[1] (numeric) 0.33135206264664846 absolute error 2.43083331241678e-13 relative error 7.336104362841367e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.2564208610559442 y2[1] (numeric) 0.256420861055728 absolute error 2.1621593404574924e-13 relative error 8.432072693125255e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y1[1] (closed_form) 0.3388211622248736 y1[1] (numeric) 0.33882116222511954 absolute error 2.4596991110570343e-13 relative error 7.259579345355491e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.24977167177029835 y2[1] (numeric) 0.24977167177008372 absolute error 2.146338662356584e-13 relative error 8.593202932678677e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y1[1] (closed_form) 0.3463563791361387 y1[1] (numeric) 0.3463563791363877 absolute error 2.490230244234226e-13 relative error 7.18979177009879e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.24319750469228718 y2[1] (numeric) 0.24319750469207432 absolute error 2.1285750939625814e-13 relative error 8.752454498477785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y1[1] (closed_form) 0.3539569598647925 y1[1] (numeric) 0.353956959865041 absolute error 2.485234240623413e-13 relative error 7.021289372506601e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.23669901723313724 y2[1] (numeric) 0.23669901723292908 absolute error 2.0816681711721685e-13 relative error 8.79457885168076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y1[1] (closed_form) 0.36162214435909235 y1[1] (numeric) 0.36162214435934037 absolute error 2.4802382370125997e-13 relative error 6.85864589793957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.23027685923618202 y2[1] (numeric) 0.2302768592359785 absolute error 2.0353163598940682e-13 relative error 8.838562270847019e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y1[1] (closed_form) 0.3693511661069765 y1[1] (numeric) 0.369351166107224 absolute error 2.4752422334017865e-13 relative error 6.701595826787976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.22393167291186933 y2[1] (numeric) 0.2239316729116705 absolute error 1.9884094371036554e-13 relative error 8.879536383788884e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y1[1] (closed_form) 0.37714325221271117 y1[1] (numeric) 0.3771432522129581 absolute error 2.469136006766348e-13 relative error 6.546944674947386e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.21766409277354415 y2[1] (numeric) 0.21766409277334986 absolute error 1.942890293094024e-13 relative error 8.926094645823785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y1[1] (closed_form) 0.384997623474179 y1[1] (numeric) 0.3849976234744252 absolute error 2.4619195571062846e-13 relative error 6.394635724995327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.21147474557399726 y2[1] (numeric) 0.21147474557380755 absolute error 1.8970935933282362e-13 relative error 8.970780828599805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y1[1] (closed_form) 0.39291349446079926 y1[1] (numeric) 0.3929134944610446 absolute error 2.453592884421596e-13 relative error 6.244613430212409e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.2053642502427908 y2[1] (numeric) 0.2053642502426056 absolute error 1.8521295608309174e-13 relative error 9.018753549564965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y1[1] (closed_form) 0.40089007359206963 y1[1] (numeric) 0.4008900735923142 absolute error 2.44582132324922e-13 relative error 6.100977510702832e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.19933321782436586 y2[1] (numeric) 0.19933321782418517 absolute error 1.8068879725774423e-13 relative error 9.064660633580431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y1[1] (closed_form) 0.40892656321672427 y1[1] (numeric) 0.4089265632169679 absolute error 2.436384427539906e-13 relative error 5.957999911707039e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.19338225141693854 y2[1] (numeric) 0.19338225141676219 absolute error 1.7635892746170612e-13 relative error 9.119705979711158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y1[1] (closed_form) 0.4170221596924978 y1[1] (numeric) 0.41702215969274037 absolute error 2.425837308805967e-13 relative error 5.8170465343969294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.18751194611219024 y2[1] (numeric) 0.18751194611201832 absolute error 1.719180353632055e-13 relative error 9.168377744868866e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y1[1] (closed_form) 0.4251760534664888 y1[1] (numeric) 0.4251760534667304 absolute error 2.4158453015843406e-13 relative error 5.681988159699476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.18172288893575972 y2[1] (numeric) 0.18172288893559216 absolute error 1.6756040999155175e-13 relative error 9.22065519499778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y1[1] (closed_form) 0.43338742915611483 y1[1] (numeric) 0.43338742915635525 absolute error 2.4041879598257765e-13 relative error 5.547433538871151e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.1760156587885403 y2[1] (numeric) 0.1760156587883771 absolute error 1.63202784619898e-13 relative error 9.272060550928865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y1[1] (closed_form) 0.4416554656306497 y1[1] (numeric) 0.4416554656308889 absolute error 2.3919755065549e-13 relative error 5.415930952285045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.17039082638879077 y2[1] (numeric) 0.17039082638863184 absolute error 1.5892842597509116e-13 relative error 9.327287703415137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y1[1] (closed_form) 0.44997933609333607 y1[1] (numeric) 0.44997933609357404 absolute error 2.379763053284023e-13 relative error 5.288605192284664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.16484895421506385 y2[1] (numeric) 0.1648489542149091 absolute error 1.547373340571312e-13 relative error 9.38661302365674e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y1[1] (closed_form) 0.45835820816406403 y1[1] (numeric) 0.45835820816430073 absolute error 2.3669954885008337e-13 relative error 5.1640735266457694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.15939059644995845 y2[1] (numeric) 0.15939059644980796 absolute error 1.5049073098793997e-13 relative error 9.441631711014229e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y1[1] (closed_form) 0.46679124396260896 y1[1] (numeric) 0.46679124396284444 absolute error 2.354783035229957e-13 relative error 5.0446169796162254e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.1540162989247027 y2[1] (numeric) 0.15401629892455632 absolute error 1.463829057968269e-13 relative error 9.504377576842843e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y1[1] (closed_form) 0.4752776001924185 y1[1] (numeric) 0.47527760019265264 absolute error 2.341460358934455e-13 relative error 4.9265110705543525e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.14872659906457042 y2[1] (numeric) 0.14872659906442814 absolute error 1.422750806057138e-13 relative error 9.566216231700716e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y1[1] (closed_form) 0.48381642822494175 y1[1] (numeric) 0.4838164282251743 absolute error 2.3253621250773904e-13 relative error 4.8062901328275177e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.14352202583513962 y2[1] (numeric) 0.1435220258350014 absolute error 1.38222766565832e-13 relative error 9.630770312885998e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y1[1] (closed_form) 0.4924068741844909 y1[1] (numeric) 0.49240687418472195 absolute error 2.310374114244951e-13 relative error 4.692002153851571e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.13840309968939613 y2[1] (numeric) 0.1384030996892619 absolute error 1.3422596367718143e-13 relative error 9.69819057365124e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y1[1] (closed_form) 0.5010480790336287 y1[1] (numeric) 0.5010480790338583 absolute error 2.2959412149248237e-13 relative error 4.582277252420576e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.13337033251568864 y2[1] (numeric) 0.1333703325155585 absolute error 1.3014589406168398e-13 relative error 9.75823420447532e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y1[1] (closed_form) 0.5097391786590715 y1[1] (numeric) 0.5097391786592994 absolute error 2.2792878695554464e-13 relative error 4.4714786796482463e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.1284242275865407 y2[1] (numeric) 0.1284242275864145 absolute error 1.2620460232426467e-13 relative error 9.827164600948812e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y1[1] (closed_form) 0.5184793039580989 y1[1] (numeric) 0.5184793039583253 absolute error 2.2637447472106942e-13 relative error 4.366123642600862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.12356527950832352 y2[1] (numeric) 0.12356527950820119 absolute error 1.2233269952588444e-13 relative error 9.90024867929376e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y1[1] (closed_form) 0.5272675809254648 y1[1] (numeric) 0.5272675809256893 absolute error 2.2448709557920665e-13 relative error 4.2575554367515805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.1187939741717956 y2[1] (numeric) 0.11879397417167718 absolute error 1.1841916336408076e-13 relative error 9.968448668349726e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y1[1] (closed_form) 0.5361031307407956 y1[1] (numeric) 0.5361031307410185 absolute error 2.2282176104226892e-13 relative error 4.156322697358069e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.11411078870351476 y2[1] (numeric) 0.11411078870340009 absolute error 1.1467216065597086e-13 relative error 1.0049195344176848e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y1[1] (closed_form) 0.5449850698564731 y1[1] (numeric) 0.5449850698566939 absolute error 2.2082335959794364e-13 relative error 4.051915764519926e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.10951619141812508 y2[1] (numeric) 0.10951619141801415 absolute error 1.1092515794786095e-13 relative error 1.012865371882378e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y1[1] (closed_form) 0.553912510085987 y1[1] (numeric) 0.5539125100862061 absolute error 2.191580250610059e-13 relative error 3.956545863659674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.10501064177152619 y2[1] (numeric) 0.10501064177141901 absolute error 1.0717815523975105e-13 relative error 1.0206408934528823e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y1[1] (closed_form) 0.562884558692754 y1[1] (numeric) 0.5628845586929713 absolute error 2.1727064591914313e-13 relative error 3.859950367509345e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.10059459031492834 y2[1] (numeric) 0.10059459031482476 absolute error 1.035838081975271e-13 relative error 1.0297154933803151e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y1[1] (closed_form) 0.5719003184793903 y1[1] (numeric) 0.5719003184796054 absolute error 2.1516122217235534e-13 relative error 3.762215463429737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.09626847864979693 y2[1] (numeric) 0.09626847864969701 absolute error 9.992007221626409e-14 relative error 1.0379313521692893e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y1[1] (closed_form) 0.5809588878774299 y1[1] (numeric) 0.5809588878776429 absolute error 2.1305179842556754e-13 relative error 3.667243980102719e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.09203273938369361 y2[1] (numeric) 0.09203273938359718 absolute error 9.642286968869485e-14 relative error 1.0477018323522715e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y1[1] (closed_form) 0.5900593610374821 y1[1] (numeric) 0.5900593610376929 absolute error 2.107203300738547e-13 relative error 3.571171715729618e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.08788779608701502 y2[1] (numeric) 0.08788779608692214 absolute error 9.288403379770216e-14 relative error 1.0568479121463066e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y1[1] (closed_form) 0.5992008279198147 y1[1] (numeric) 0.5992008279200233 absolute error 2.0861090632706691e-13 relative error 3.4814856156204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.08383406325063691 y2[1] (numeric) 0.08383406325054746 absolute error 8.945622020917199e-14 relative error 1.0670629185862867e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y1[1] (closed_form) 0.6083823743853569 y1[1] (numeric) 0.6083823743855633 absolute error 2.063904602778166e-13 relative error 3.392446411458435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.0798719462444647 y2[1] (numeric) 0.07987194624437864 absolute error 8.605616219625745e-14 relative error 1.0774266340382475e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y1[1] (closed_form) 0.6176030822871137 y1[1] (numeric) 0.6176030822873179 absolute error 2.041700142285663e-13 relative error 3.305845130702423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.07600184127689724 y2[1] (numeric) 0.07600184127681459 absolute error 8.26561041833429e-14 relative error 1.0875539696755794e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y1[1] (closed_form) 0.6268620295619789 y1[1] (numeric) 0.6268620295621807 absolute error 2.0183854587685346e-13 relative error 3.2198240818300726e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.07222413535520633 y2[1] (numeric) 0.07222413535512692 absolute error 7.940870183631432e-14 relative error 1.099475977743084e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y1[1] (closed_form) 0.6361582903229406 y1[1] (numeric) 0.6361582903231401 absolute error 1.9950707752514063e-13 relative error 3.136123203296816e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.06853920624683596 y2[1] (numeric) 0.06853920624675978 absolute error 7.617517727709355e-14 relative error 1.1114102635323429e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y1[1] (closed_form) 0.6454909349516695 y1[1] (numeric) 0.6454909349518666 absolute error 1.9706458687096529e-13 relative error 3.052941198712888e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.06494742244162621 y2[1] (numeric) 0.06494742244155323 absolute error 7.298328608129623e-14 relative error 1.1237287537760644e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y1[1] (closed_form) 0.6548590301914802 y1[1] (numeric) 0.6548590301916749 absolute error 1.9473311851925246e-13 relative error 2.973664705552166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.06144914311496452 y2[1] (numeric) 0.061449143114894626 absolute error 6.989547829405751e-14 relative error 1.137452448495349e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y1[1] (closed_form) 0.6642616392406552 y1[1] (numeric) 0.6642616392408472 absolute error 1.9206858326015208e-13 relative error 2.89145980911548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.058044718091868175 y2[1] (numeric) 0.05804471809180143 absolute error 6.674522046168363e-14 relative error 1.1498930937358512e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y1[1] (closed_form) 0.673697821846125 y1[1] (numeric) 0.6736978218463148 absolute error 1.8973711490843925e-13 relative error 2.8163533969652033e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.05473448781200274 y2[1] (numeric) 0.054734487811938924 absolute error 6.381700723423478e-14 relative error 1.1659377804617062e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y1[1] (closed_form) 0.6831666343974928 y1[1] (numeric) 0.68316663439768 absolute error 1.871836019518014e-13 relative error 2.7399406312763617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.051518783295637416 y2[1] (numeric) 0.0515187832955766 absolute error 6.081246617384295e-14 relative error 1.1803940676330474e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y1[1] (closed_form) 0.6926671300213938 y1[1] (numeric) 0.6926671300215783 absolute error 1.8451906669270102e-13 relative error 2.6638923473530776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.048397926110544276 y2[1] (numeric) 0.04839792611048635 absolute error 5.792588630981754e-14 relative error 1.1968671173535563e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y1[1] (closed_form) 0.702198358676183 y1[1] (numeric) 0.7021983586763648 absolute error 1.8185453143360064e-13 relative error 2.5897886143801485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.045372228339841 y2[1] (numeric) 0.04537222833978595 absolute error 5.505318423359995e-14 relative error 1.2133674330748744e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y1[1] (closed_form) 0.7117593672469372 y1[1] (numeric) 0.7117593672471164 absolute error 1.7918999617450027e-13 relative error 2.5175642839461532e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.0424419925507834 y2[1] (numeric) 0.04244199255073108 absolute error 5.232619892936441e-14 relative error 1.2328874255079846e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y1[1] (closed_form) 0.721349199640767 y1[1] (numeric) 0.7213491996409437 absolute error 1.766364832178624e-13 relative error 2.4486959063076195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.039607511764508385 y2[1] (numeric) 0.03960751176445879 absolute error 4.959227473122496e-14 relative error 1.252092659243082e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y1[1] (closed_form) 0.7309668968824248 y1[1] (numeric) 0.7309668968825985 absolute error 1.73749903353837e-13 relative error 2.376987304006251e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.036869069426732515 y2[1] (numeric) 0.036869069426685656 absolute error 4.6858350533085513e-14 relative error 1.2709393337470598e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y1[1] (closed_form) 0.7406114972102006 y1[1] (numeric) 0.7406114972103714 absolute error 1.708633234898116e-13 relative error 2.3070573996411658e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.034226939379407684 y2[1] (numeric) 0.034226939379363414 absolute error 4.427014310692812e-14 relative error 1.2934297927194399e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y1[1] (closed_form) 0.7502820361720991 y1[1] (numeric) 0.7502820361722672 absolute error 1.680877659282487e-13 relative error 2.2403277410961878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.031681385833336795 y2[1] (numeric) 0.03168138583329504 absolute error 4.17582635137137e-14 relative error 1.3180693462523187e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y1[1] (closed_form) 0.7599775467222828 y1[1] (numeric) 0.7599775467224482 absolute error 1.6542323066914832e-13 relative error 2.1766857637124197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.029232663341753118 y2[1] (numeric) 0.02923266334171384 absolute error 3.9277608943066866e-14 relative error 1.3436206097227726e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y1[1] (closed_form) 0.7696970593177762 y1[1] (numeric) 0.7696970593179389 absolute error 1.6264767310758543e-13 relative error 2.1131388140127335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.026881016774865207 y2[1] (numeric) 0.026881016774828397 absolute error 3.6810832160227847e-14 relative error 1.369398801709294e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y1[1] (closed_form) 0.7794396020154195 y1[1] (numeric) 0.7794396020155792 absolute error 1.596500709410975e-13 relative error 2.0482673773347635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.024626681295370156 y2[1] (numeric) 0.024626681295335684 absolute error 3.447242491461111e-14 relative error 1.399799855333815e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y1[1] (closed_form) 0.7892042005690614 y1[1] (numeric) 0.7892042005692181 absolute error 1.567634910770721e-13 relative error 1.9863489191268454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.022469882334937186 y2[1] (numeric) 0.02246988233490504 absolute error 3.2144426009850235e-14 relative error 1.4305560452299582e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y1[1] (closed_form) 0.7989898785269839 y1[1] (numeric) 0.7989898785271377 absolute error 1.5376588891058418e-13 relative error 1.9245035893829677e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.02041083557166512 y2[1] (numeric) 0.020410835571635193 absolute error 2.9927449407551876e-14 relative error 1.466253025383144e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y1[1] (closed_form) 0.8087956573295458 y1[1] (numeric) 0.8087956573296965 absolute error 1.5065726444163374e-13 relative error 1.862735823026904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.01844974690851431 y2[1] (numeric) 0.018449746908486598 absolute error 2.7710472805253517e-14 relative error 1.5019432484716366e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y1[1] (closed_form) 0.8186205564070383 y1[1] (numeric) 0.8186205564071861 absolute error 1.4777068457760834e-13 relative error 1.8051181761936246e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.01658681245271698 y2[1] (numeric) 0.01658681245269134 absolute error 2.5642682421889162e-14 relative error 1.5459680692108383e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y1[1] (closed_form) 0.8284635932777412 y1[1] (numeric) 0.8284635932778858 absolute error 1.4455103780619538e-13 relative error 1.7448085706976246e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.014822218496166162 y2[1] (numeric) 0.014822218496142545 absolute error 2.3616525401948252e-14 relative error 1.5933192057624018e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y1[1] (closed_form) 0.8383237836461698 y1[1] (numeric) 0.838323783646311 absolute error 1.412203687323199e-13 relative error 1.6845563908267286e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.01315614149678701 y2[1] (numeric) 0.013156141496765396 absolute error 2.1614654510671016e-14 relative error 1.6429326574170507e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y1[1] (closed_form) 0.8482001415015039 y1[1] (numeric) 0.848200141501642 absolute error 1.3811174426336947e-13 relative error 1.628291926701177e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.011588748060891163 y2[1] (numeric) 0.011588748060871424 absolute error 1.9739418433140088e-14 relative error 1.703326220349478e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y1[1] (closed_form) 0.8580916792161886 y1[1] (numeric) 0.8580916792163233 absolute error 1.34781075189494e-13 relative error 1.570707168639694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.010120194926515946 y2[1] (numeric) 0.010120194926498067 absolute error 1.787979486689295e-14 relative error 1.766744118736889e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y1[1] (closed_form) 0.867997407644695 y1[1] (numeric) 0.8679974076448267 absolute error 1.3167245072054357e-13 relative error 1.516968248532399e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.008750628947751027 y2[1] (numeric) 0.00875062894773497 absolute error 1.6056600493641326e-14 relative error 1.8349081636889638e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y1[1] (closed_form) 0.8779163362224353 y1[1] (numeric) 0.8779163362225637 absolute error 1.284528039491306e-13 relative error 1.46315541298442e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.007480187080053047 y2[1] (numeric) 0.007480187080038712 absolute error 1.4334887443734345e-14 relative error 1.9163808726068236e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y1[1] (closed_form) 0.8878474730648171 y1[1] (numeric) 0.8878474730649425 absolute error 1.2534417948018017e-13 relative error 1.4117760458054426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.006308996366550024 y2[1] (numeric) 0.006308996366537364 absolute error 1.2660011927678738e-14 relative error 2.0066602026911085e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y1[1] (closed_form) 0.8977898250664325 y1[1] (numeric) 0.8977898250665546 absolute error 1.2212453270876722e-13 relative error 1.360279759237977e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.005237173925337402 y2[1] (numeric) 0.005237173925326285 absolute error 1.1116975395797368e-14 relative error 2.122705022648482e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y1[1] (closed_form) 0.9077423980003663 y1[1] (numeric) 0.9077423980004852 absolute error 1.1890488593735427e-13 relative error 1.3098967967045017e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.004264826937765975 y2[1] (numeric) 0.004264826937756415 absolute error 9.560061076108184e-15 relative error 2.2416058648128842e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y1[1] (closed_form) 0.917704196617619 y1[1] (numeric) 0.9177041966177348 absolute error 1.1579626146840383e-13 relative error 1.2618037696154593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.003392052637724352 y2[1] (numeric) 0.003392052637716227 absolute error 8.12501108060637e-15 relative error 2.3953080769575697e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y1[1] (closed_form) 0.9276742247466303 y1[1] (numeric) 0.9276742247467429 absolute error 1.1257661469699087e-13 relative error 1.2135360851244757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.0026189383019150636 y2[1] (numeric) 0.0026189383019084127 absolute error 6.6509298068950784e-15 relative error 2.5395519253094566e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y1[1] (closed_form) 0.9376514853928958 y1[1] (numeric) 0.9376514853930048 absolute error 1.0902390101819037e-13 relative error 1.1627337312061853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.001945561241127658 y2[1] (numeric) 0.0019455612411222918 absolute error 5.366150232499756e-15 relative error 2.758150254571018e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y1[1] (closed_form) 0.9476349808386649 y1[1] (numeric) 0.9476349808387707 absolute error 1.0580425424677742e-13 relative error 1.1165085332027293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.001371988792506884 y2[1] (numeric) 0.0013719887925027984 absolute error 4.085707466794375e-15 relative error 2.977945220185809e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y1[1] (closed_form) 0.957623712742713 y1[1] (numeric) 0.9576237127428153 absolute error 1.0236256287043943e-13 relative error 1.068922599851508e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.0008982783128197447 y2[1] (numeric) 0.000898278312816819 absolute error 2.9257195624521337e-15 relative error 3.2570301661498873e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y1[1] (closed_form) 0.9676166822401732 y1[1] (numeric) 0.9676166822402724 absolute error 9.9253938401489e-14 relative error 1.0257567921596982e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 0.0005244771727193065 y2[1] (numeric) 0.0005244771727175654 absolute error 1.7411202687944716e-15 relative error 3.3197255464277316e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y1[1] (closed_form) 0.9776128900424234 y1[1] (numeric) 0.9776128900425194 absolute error 9.603429163007604e-14 relative error 9.823345478383438e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0002506227520082671 y2[1] (numeric) 0.00025062275200754785 absolute error 7.192597212268836e-16 relative error 2.8698899659483346e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y1[1] (closed_form) 0.9876113365370135 y1[1] (numeric) 0.9876113365371062 absolute error 9.270362255620057e-14 relative error 9.38665030732221e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 7.674243590027885e-05 y2[1] (numeric) 7.674243590062711e-05 absolute error 3.482592903295001e-16 relative error 4.538027575539007e-10% Desired digits 8 Estimated correct digits 7 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y1[1] (closed_form) 0.9976110218876261 y1[1] (numeric) 0.9976110218877154 absolute error 8.93729534823251e-14 relative error 8.958697480428634e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 2.8536122822497845e-06 y2[1] (numeric) 2.853612283512045e-06 absolute error 1.26226035645962e-15 relative error 4.4233772202033535e-08% Desired digits 8 Estimated correct digits 6 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y1[1] (closed_form) 1.007610946134059 y1[1] (numeric) 1.0076109461341451 absolute error 8.615330671091215e-14 relative error 8.550255139789813e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 2.896366997484634e-05 y2[1] (numeric) 2.8963669976990868e-05 absolute error 2.1445281802538047e-15 relative error 7.4042004418508845e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y1[1] (closed_form) 1.0176101092922212 y1[1] (numeric) 1.0176101092923036 absolute error 8.237854842718662e-14 relative error 8.095295798946358e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.00015506999799408394 y2[1] (numeric) 0.00015506999799705246 absolute error 2.968518443210999e-15 relative error 1.914308687438205e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y1[1] (closed_form) 1.027607511454129 y1[1] (numeric) 1.027607511454208 absolute error 7.904787935331115e-14 relative error 7.69241937920962e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.00038115998581234045 y2[1] (numeric) 0.00038115998581598256 absolute error 3.642106147921931e-15 relative error 9.555321344027644e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y1[1] (closed_form) 1.0376021528878976 y1[1] (numeric) 1.037602152887973 absolute error 7.549516567451064e-14 relative error 7.275926082496008e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0007072110246191254 y2[1] (numeric) 0.000707211024623407 absolute error 4.281514379145257e-15 relative error 6.054083194547347e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y1[1] (closed_form) 1.0475930341377124 y1[1] (numeric) 1.0475930341377846 absolute error 7.216449660063518e-14 relative error 6.8886002721500265e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0011331905095822714 y2[1] (numeric) 0.0011331905095871538 absolute error 4.8823792231367236e-15 relative error 4.3085246318701675e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y1[1] (closed_form) 1.0575791561237742 y1[1] (numeric) 1.0575791561238428 absolute error 6.861178292183467e-14 relative error 6.4876262476002e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0016590558431082147 y2[1] (numeric) 0.0016590558431137077 absolute error 5.49300188668056e-15 relative error 3.3109204307369834e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y1[1] (closed_form) 1.0675595202422061 y1[1] (numeric) 1.0675595202422707 absolute error 6.461498003318411e-14 relative error 6.052588057902792e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0022847544391020325 y2[1] (numeric) 0.0022847544391079327 absolute error 5.900228222666115e-15 relative error 2.5824342965211865e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y1[1] (closed_form) 1.0775331284649132 y1[1] (numeric) 1.0775331284649745 absolute error 6.128431095930864e-14 relative error 5.687464203222796e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0030102237282253475 y2[1] (numeric) 0.0030102237282316445 absolute error 6.29704621779581e-15 relative error 2.0918864464297413e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y1[1] (closed_form) 1.0874989834393844 y1[1] (numeric) 1.0874989834394424 absolute error 5.795364188543317e-14 relative error 5.3290754996520344e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0038353911641538785 y2[1] (numeric) 0.003835391164160488 absolute error 6.609730124340629e-15 relative error 1.7233522844074223e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y1[1] (closed_form) 1.0974560885884275 y1[1] (numeric) 1.0974560885884823 absolute error 5.484501741648273e-14 relative error 4.997468052414345e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0047601742308316375 y2[1] (numeric) 0.004760174230838511 absolute error 6.873841773558098e-15 relative error 1.444031550155505e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y1[1] (closed_form) 1.1074034482098245 y1[1] (numeric) 1.1074034482098765 absolute error 5.1958437552457326e-14 relative error 4.691915817713125e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.005784480450722662 y2[1] (numeric) 0.005784480450729697 absolute error 7.035171056823941e-15 relative error 1.2162148557257252e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y1[1] (closed_form) 1.1173400675759033 y1[1] (numeric) 1.117340067575952 absolute error 4.8627768478581856e-14 relative error 4.3521010200664325e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.006908207394058508 y2[1] (numeric) 0.006908207394065641 absolute error 7.13318293321663e-15 relative error 1.0325664135896696e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y1[1] (closed_form) 1.1272649530330077 y1[1] (numeric) 1.1272649530330525 absolute error 4.4853010194856324e-14 relative error 3.978923506330545e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.008131242689081164 y2[1] (numeric) 0.008131242689088443 absolute error 7.278899705198683e-15 relative error 8.95176787057773e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y1[1] (closed_form) 1.1371771121008625 y1[1] (numeric) 1.1371771121009036 absolute error 4.107825191113079e-14 relative error 3.612300271788036e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.009453464033280512 y2[1] (numeric) 0.009453464033287787 absolute error 7.275430258246729e-15 relative error 7.696046901573741e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y1[1] (closed_form) 1.147075553571821 y1[1] (numeric) 1.1470755535718586 absolute error 3.774758283725532e-14 relative error 3.290766917638077e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.010874739205623984 y2[1] (numeric) 0.010874739205631112 absolute error 7.1279787627887e-15 relative error 6.554620417106087e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y1[1] (closed_form) 1.1569592876099848 y1[1] (numeric) 1.156959287610019 absolute error 3.419486915845482e-14 relative error 2.955581023865901e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.012394926079778545 y2[1] (numeric) 0.012394926079785566 absolute error 7.020425907278138e-15 relative error 5.6639514121278e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y1[1] (closed_form) 1.1668273258501867 y1[1] (numeric) 1.166827325850217 absolute error 3.042011087472929e-14 relative error 2.607079059668426e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.014013872638323766 y2[1] (numeric) 0.014013872638330555 absolute error 6.789707684973223e-15 relative error 4.84499028941179e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y1[1] (closed_form) 1.1766786814968258 y1[1] (numeric) 1.1766786814968528 absolute error 2.708944180085382e-14 relative error 2.3021953424357077e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.015731416987952884 y2[1] (numeric) 0.01573141698795934 absolute error 6.456640777585676e-15 relative error 4.1042970143949334e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y1[1] (closed_form) 1.186512369422547 y1[1] (numeric) 1.1865123694225705 absolute error 2.353672812205332e-14 relative error 1.983690075941492e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.017547387375662082 y2[1] (numeric) 0.01754738737566825 absolute error 6.168676680573526e-15 relative error 3.515438822037617e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y1[1] (closed_form) 1.1963274062667524 y1[1] (numeric) 1.1963274062667728 absolute error 2.042810365310288e-14 relative error 1.7075679739587862e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.019461602205926076 y2[1] (numeric) 0.019461602205931808 absolute error 5.731526364627371e-15 relative error 2.945043426528426e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y1[1] (closed_form) 1.2061228105339366 y1[1] (numeric) 1.2061228105339539 absolute error 1.7319479184152442e-14 relative error 1.4359631567274073e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.021473870058856925 y2[1] (numeric) 0.021473870058862164 absolute error 5.2388648974499574e-15 relative error 2.439646362342209e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y1[1] (closed_form) 1.215897602691836 y1[1] (numeric) 1.21589760269185 absolute error 1.3988810110276972e-14 relative error 1.1504924493072117e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.023583989709346165 y2[1] (numeric) 0.02358398970935092 absolute error 4.756611771128405e-15 relative error 2.016881719229802e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y1[1] (closed_form) 1.2256508052693802 y1[1] (numeric) 1.2256508052693913 absolute error 1.1102230246251565e-14 relative error 9.058232735229556e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.025791750147187376 y2[1] (numeric) 0.025791750147191435 absolute error 4.0592529337857286e-15 relative error 1.573857109587577e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y1[1] (closed_form) 1.2353814429544392 y1[1] (numeric) 1.2353814429544472 absolute error 7.993605777301127e-15 relative error 6.470556784618895e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.028096930598176306 y2[1] (numeric) 0.028096930598179734 absolute error 3.427813588530171e-15 relative error 1.2199957488426372e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y1[1] (closed_form) 1.2450885426913532 y1[1] (numeric) 1.2450885426913578 absolute error 4.6629367034256575e-15 relative error 3.745064341646231e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.03049930054618899 y2[1] (numeric) 0.030499300546191693 absolute error 2.7026991755718655e-15 relative error 8.861511992640037e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y1[1] (closed_form) 1.2547711337782377 y1[1] (numeric) 1.2547711337782392 absolute error 1.5543122344752192e-15 relative error 1.238721702016713e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.03299861975623253 y2[1] (numeric) 0.03299861975623448 absolute error 1.949829186997931e-15 relative error 5.9088204337081775e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y1[1] (closed_form) 1.2644282479640532 y1[1] (numeric) 1.2644282479640514 absolute error 1.7763568394002505e-15 relative error 1.4048696256671663e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.03559463829846876 y2[1] (numeric) 0.03559463829846984 absolute error 1.0755285551056204e-15 relative error 3.0216027090571345e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y1[1] (closed_form) 1.2740589195454284 y1[1] (numeric) 1.2740589195454235 absolute error 4.884981308350689e-15 relative error 3.8341879118852694e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.038287096573206836 y2[1] (numeric) 0.038287096573206884 absolute error 4.85722573273506e-17 relative error 1.268632559653042e-13% Desired digits 8 Estimated correct digits 10 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 5.000000000000004 y1[1] (closed_form) 1.2836621854632306 y1[1] (numeric) 1.2836621854632226 absolute error 7.993605777301127e-15 relative error 6.227188015526455e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.04107572533686277 y2[1] (numeric) 0.04107572533686187 absolute error 8.951173136040325e-16 relative error 2.1791880880085725e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.010000000000008 y1[1] (closed_form) 1.2932370853988708 y1[1] (numeric) 1.29323708539886 absolute error 1.0880185641326534e-14 relative error 8.413140764495458e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.04396024572888424 y2[1] (numeric) 0.04396024572888228 absolute error 1.9567680809018384e-15 relative error 4.451221890272867e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.020000000000011 y1[1] (closed_form) 1.3027826618703346 y1[1] (numeric) 1.3027826618703202 absolute error 1.4432899320127035e-14 relative error 1.107851658035309e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.04694036929963574 y2[1] (numeric) 0.046940369299632655 absolute error 3.0878077872387166e-15 relative error 6.578149753207583e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0300000000000145 y1[1] (closed_form) 1.3122979603279292 y1[1] (numeric) 1.312297960327912 absolute error 1.7319479184152442e-14 relative error 1.319782527119412e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.05001579803924361 y2[1] (numeric) 0.050015798039239355 absolute error 4.253541963095131e-15 relative error 8.504396870280263e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 5.040000000000018 y1[1] (closed_form) 1.3217820292497386 y1[1] (numeric) 1.3217820292497178 absolute error 2.0872192862952943e-14 relative error 1.5790949189103655e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.05318622440739684 y2[1] (numeric) 0.05318622440739127 absolute error 5.571931804837504e-15 relative error 1.0476268746127787e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.050000000000021 y1[1] (closed_form) 1.3312339202367738 y1[1] (numeric) 1.3312339202367498 absolute error 2.398081733190338e-14 relative error 1.8013977083485181e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.05645133136410041 y2[1] (numeric) 0.05645133136409359 absolute error 6.8209327075408055e-15 relative error 1.208285534232502e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0600000000000245 y1[1] (closed_form) 1.3406526881078127 y1[1] (numeric) 1.3406526881077854 absolute error 2.731148640577885e-14 relative error 2.0371783570826297e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.059810792401379764 y2[1] (numeric) 0.05981079240137156 absolute error 8.201772594418344e-15 relative error 1.3712863958360028e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.070000000000028 y1[1] (closed_form) 1.350037390993917 y1[1] (numeric) 1.3500373909938865 absolute error 3.042011087472929e-14 relative error 2.253279137130681e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.06326427157593073 y2[1] (numeric) 0.06326427157592102 absolute error 9.71445146547012e-15 relative error 1.535535180202097e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.080000000000031 y1[1] (closed_form) 1.3593870904326186 y1[1] (numeric) 1.359387090432585 absolute error 3.352873534367973e-14 relative error 2.4664597434869978e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.06681142354271352 y2[1] (numeric) 0.06681142354270235 absolute error 1.1171619185290638e-14 relative error 1.6721121318644644e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.0900000000000345 y1[1] (closed_form) 1.3687008514617653 y1[1] (numeric) 1.3687008514617287 absolute error 3.6637359812630166e-14 relative error 2.6767982041876905e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.07045189358948767 y2[1] (numeric) 0.07045189358947487 absolute error 1.2795320358804929e-14 relative error 1.816178346228888e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.100000000000038 y1[1] (closed_form) 1.3779777427130155 y1[1] (numeric) 1.3779777427129758 absolute error 3.9745984281580604e-14 relative error 2.8843705561838165e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.07418531767228198 y2[1] (numeric) 0.0741853176722676 absolute error 1.4377388168895777e-14 relative error 1.9380368811533216e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.110000000000041 y1[1] (closed_form) 1.3872168365049748 y1[1] (numeric) 1.3872168365049322 absolute error 4.263256414560601e-14 relative error 3.0732444289687743e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.07801132245179954 y2[1] (numeric) 0.07801132245178344 absolute error 1.609823385706477e-14 relative error 2.063576587489759e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1200000000000445 y1[1] (closed_form) 1.3964172089359632 y1[1] (numeric) 1.3964172089359181 absolute error 4.5075054799781356e-14 relative error 3.227907427045208e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.0819295253307506 y2[1] (numeric) 0.08192952533073276 absolute error 1.7832957333041577e-14 relative error 2.1766215855699993e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.130000000000048 y1[1] (closed_form) 1.4055779399764046 y1[1] (numeric) 1.4055779399763566 absolute error 4.796163466380676e-14 relative error 3.4122358710760568e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.08593953449211245 y2[1] (numeric) 0.08593953449209285 absolute error 1.9595436384634013e-14 relative error 2.2801422535553165e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.140000000000051 y1[1] (closed_form) 1.4146981135608288 y1[1] (numeric) 1.4146981135607777 absolute error 5.10702591327572e-14 relative error 3.6099757710294918e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.09004094893831072 y2[1] (numeric) 0.09004094893828919 absolute error 2.1524448889920222e-14 relative error 2.3905177748256692e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1500000000000545 y1[1] (closed_form) 1.4237768176794772 y1[1] (numeric) 1.4237768176794234 absolute error 5.3734794391857577e-14 relative error 3.774102354007736e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.09423335853131853 y2[1] (numeric) 0.09423335853129501 absolute error 2.3522850334245504e-14 relative error 2.496233892207892e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.160000000000058 y1[1] (closed_form) 1.4328131444695043 y1[1] (numeric) 1.4328131444694474 absolute error 5.684341886080802e-14 relative error 3.967259728193948e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.09851634403367016 y2[1] (numeric) 0.0985163440336447 absolute error 2.5451862839531714e-14 relative error 2.5835167848730735e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.170000000000061 y1[1] (closed_form) 1.4418061903057604 y1[1] (numeric) 1.4418061903057011 absolute error 5.928590951498336e-14 relative error 4.111919473893418e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.10288947715038466 y2[1] (numeric) 0.10288947715035716 absolute error 2.749189764728044e-14 relative error 2.6719834145038864e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.1800000000000646 y1[1] (closed_form) 1.4507550558911566 y1[1] (numeric) 1.4507550558910949 absolute error 6.17284001691587e-14 relative error 4.2549153917124035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.10735232057179456 y2[1] (numeric) 0.10735232057176497 absolute error 2.958744360626042e-14 relative error 2.7561065702788488e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.190000000000068 y1[1] (closed_form) 1.4596588463465918 y1[1] (numeric) 1.4596588463465272 absolute error 6.461498003318411e-14 relative error 4.426717941312806e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.11190442801727674 y2[1] (numeric) 0.11190442801724503 absolute error 3.1710745140856034e-14 relative error 2.8337346164675687e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.200000000000071 y1[1] (closed_form) 1.4685166713004398 y1[1] (numeric) 1.468516671300373 absolute error 6.683542608243442e-14 relative error 4.551220111328293e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.11654534427988006 y2[1] (numeric) 0.11654534427984617 absolute error 3.3889557826682903e-14 relative error 2.9078431263026837e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.210000000000075 y1[1] (closed_form) 1.4773276449775872 y1[1] (numeric) 1.477327644977518 absolute error 6.927791673660977e-14 relative error 4.689407726994833e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.12127460527184575 y2[1] (numeric) 0.12127460527180957 absolute error 3.617939281497229e-14 relative error 2.98326205505873e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.220000000000078 y1[1] (closed_form) 1.4860908862880085 y1[1] (numeric) 1.4860908862879365 absolute error 7.194245199571014e-14 relative error 4.841053307002618e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1260917380710156 y2[1] (numeric) 0.12609173807097707 absolute error 3.852473895449293e-14 relative error 3.0552944660653006e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.230000000000081 y1[1] (closed_form) 1.4948055189148752 y1[1] (numeric) 1.4948055189148008 absolute error 7.438494264988549e-14 relative error 4.976228794223598e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1309962609681239 y2[1] (numeric) 0.13099626096808298 absolute error 4.091171845743702e-14 relative error 3.1231210841500517e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.240000000000085 y1[1] (closed_form) 1.5034706714021873 y1[1] (numeric) 1.5034706714021102 absolute error 7.704947790898586e-14 relative error 5.124774255631268e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.13598768351496815 y2[1] (numeric) 0.13598768351492477 absolute error 4.338196468722799e-14 relative error 3.190139251283955e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.250000000000088 y1[1] (closed_form) 1.512085477241916 y1[1] (numeric) 1.5120854772418373 absolute error 7.882583474838611e-14 relative error 5.21305415168503e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.14106550657345296 y2[1] (numeric) 0.1410655065734072 absolute error 4.576894419017208e-14 relative error 3.2445170546592934e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.260000000000091 y1[1] (closed_form) 1.5206490749606576 y1[1] (numeric) 1.520649074960576 absolute error 8.149037000748649e-14 relative error 5.358920170953632e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.14622922236550429 y2[1] (numeric) 0.14622922236545594 absolute error 4.835021272242557e-14 relative error 3.306467198572169e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.270000000000095 y1[1] (closed_form) 1.5291606082057756 y1[1] (numeric) 1.5291606082056917 absolute error 8.393286066166183e-14 relative error 5.488819173817429e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.15147831452384575 y2[1] (numeric) 0.15147831452379482 absolute error 5.0931481254679056e-14 relative error 3.362295217950911e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.280000000000098 y1[1] (closed_form) 1.5376192258310386 y1[1] (numeric) 1.5376192258309522 absolute error 8.637535131583718e-14 relative error 5.617473420258114e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.15681225814363586 y2[1] (numeric) 0.15681225814358224 absolute error 5.362377208939506e-14 relative error 3.4196160889588813e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.290000000000101 y1[1] (closed_form) 1.546024081981733 y1[1] (numeric) 1.5460240819816449 absolute error 8.815170815523743e-14 relative error 5.70183279695374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1622305198349575 y2[1] (numeric) 0.1622305198349013 absolute error 5.620504062164855e-14 relative error 3.4645170759994976e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.300000000000105 y1[1] (closed_form) 1.5543743361792481 y1[1] (numeric) 1.5543743361791575 absolute error 9.059419880941277e-14 relative error 5.8283385604589385e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.1677325577761568 y2[1] (numeric) 0.16773255777609788 absolute error 5.892508703198018e-14 relative error 3.513038125288541e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.310000000000108 y1[1] (closed_form) 1.562669153405122 y1[1] (numeric) 1.5626691534050292 absolute error 9.281464485866309e-14 relative error 5.939494272118705e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.17331782176802468 y2[1] (numeric) 0.17331782176796293 absolute error 6.175615574477433e-14 relative error 3.5631740068503266e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.320000000000111 y1[1] (closed_form) 1.5709077041845447 y1[1] (numeric) 1.5709077041844501 absolute error 9.459100169806334e-14 relative error 6.0214232475971815e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.17898575328881638 y2[1] (numeric) 0.17898575328875171 absolute error 6.467049118441537e-14 relative error 3.613164176260513e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.330000000000115 y1[1] (closed_form) 1.579089164669304 y1[1] (numeric) 1.5790891646692073 absolute error 9.658940314238862e-14 relative error 6.1167795526363816e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.18473578555010284 y2[1] (numeric) 0.18473578555003536 absolute error 6.747380432159389e-14 relative error 3.652449043409301e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.340000000000118 y1[1] (closed_form) 1.5872127167201686 y1[1] (numeric) 1.58721271672007 absolute error 9.85878045867139e-14 relative error 6.2113794545722055e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.19056734355344984 y2[1] (numeric) 0.19056734355337943 absolute error 7.041589533685055e-14 relative error 3.695066217738428e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.350000000000121 y1[1] (closed_form) 1.595277547988704 y1[1] (numeric) 1.5952775479886032 absolute error 1.0080825063596421e-13 relative error 6.31916689124481e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.19647984414791664 y2[1] (numeric) 0.1964798441478432 absolute error 7.34412530789541e-14 relative error 3.737851757642125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.360000000000125 y1[1] (closed_form) 1.603282851998503 y1[1] (numeric) 1.6032828519984004 absolute error 1.0258460747536446e-13 relative error 6.39840982191583e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2024726960883707 y2[1] (numeric) 0.20247269608829427 absolute error 7.643885524544203e-14 relative error 3.7752673186156283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.370000000000128 y1[1] (closed_form) 1.6112278282258363 y1[1] (numeric) 1.611227828225732 absolute error 1.0436096431476471e-13 relative error 6.47710786063565e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.20854530009461214 y2[1] (numeric) 0.2085453000945327 absolute error 7.943645741192995e-14 relative error 3.8090744493350593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.380000000000131 y1[1] (closed_form) 1.6191116821797018 y1[1] (numeric) 1.6191116821795954 absolute error 1.0635936575909e-13 relative error 6.568995019287706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.21469704891130081 y2[1] (numeric) 0.2146970489112183 absolute error 8.251732630526476e-14 relative error 3.8434308586773204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.390000000000135 y1[1] (closed_form) 1.626933625481274 y1[1] (numeric) 1.6269336254811662 absolute error 1.0791367799356522e-13 relative error 6.632949021607599e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.22092732736868148 y2[1] (numeric) 0.22092732736859574 absolute error 8.573697307667771e-14 relative error 3.8807771812493186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.400000000000138 y1[1] (closed_form) 1.634692875942741 y1[1] (numeric) 1.6346928759426311 absolute error 1.099120794378905e-13 relative error 6.723714347534749e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.22723551244410023 y2[1] (numeric) 0.22723551244401136 absolute error 8.887335312124378e-14 relative error 3.911067956119163e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.410000000000141 y1[1] (closed_form) 1.6423886576455227 y1[1] (numeric) 1.642388657645411 absolute error 1.1168843627729075e-13 relative error 6.800365781714775e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.23362097332430642 y2[1] (numeric) 0.23362097332421428 absolute error 9.214851104388799e-14 relative error 3.9443595210079825e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.420000000000145 y1[1] (closed_form) 1.6500202010178617 y1[1] (numeric) 1.6500202010177483 absolute error 1.13464793116691e-13 relative error 6.876569938155728e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.24008307146853303 y2[1] (numeric) 0.24008307146843774 absolute error 9.528489108845406e-14 relative error 3.9688300597629916e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.430000000000148 y1[1] (closed_form) 1.6575867429117808 y1[1] (numeric) 1.6575867429116655 absolute error 1.1524114995609125e-13 relative error 6.952345055176672e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.24662116067235096 y2[1] (numeric) 0.2466211606722523 absolute error 9.867107131356079e-14 relative error 4.000916670919834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.440000000000151 y1[1] (closed_form) 1.6650875266793956 y1[1] (numeric) 1.6650875266792788 absolute error 1.1679546219056647e-13 relative error 7.014373738267445e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2532345871322881 y2[1] (numeric) 0.25323458713218605 absolute error 1.0202949596305189e-13 relative error 4.0290505779035765e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.450000000000155 y1[1] (closed_form) 1.6725218022485802 y1[1] (numeric) 1.672521802248462 absolute error 1.1812772982011666e-13 relative error 7.062851417619954e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.25992268951120956 y2[1] (numeric) 0.2599226895111042 absolute error 1.0536016503692736e-13 relative error 4.0535193458893296e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.460000000000158 y1[1] (closed_form) 1.679888826197973 y1[1] (numeric) 1.6798888261978528 absolute error 1.2012613126444194e-13 relative error 7.150838162089496e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.26668479900445097 y2[1] (numeric) 0.2666847990043421 absolute error 1.088573675644966e-13 relative error 4.081873731493776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.470000000000161 y1[1] (closed_form) 1.687187861831318 y1[1] (numeric) 1.6871878618311962 absolute error 1.219024881038422e-13 relative error 7.225187595382889e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.273520239406698 y2[1] (numeric) 0.27352023940658565 absolute error 1.1235457009206584e-13 relative error 4.1077241792336074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.480000000000165 y1[1] (closed_form) 1.6944181792511346 y1[1] (numeric) 1.6944181792510111 absolute error 1.234568003383174e-13 relative error 7.286088041907128e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.28042832717960664 y2[1] (numeric) 0.2804283271794908 absolute error 1.1585177261963508e-13 relative error 4.1312435795915584e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.490000000000168 y1[1] (closed_form) 1.7015790554317056 y1[1] (numeric) 1.7015790554315808 absolute error 1.247890679678676e-13 relative error 7.333721437715247e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.2874083715201563 y2[1] (numeric) 0.2874083715200369 absolute error 1.1940448629843559e-13 relative error 4.1545236023182995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.500000000000171 y1[1] (closed_form) 1.7086697742913808 y1[1] (numeric) 1.7086697742912549 absolute error 1.2589929099249275e-13 relative error 7.368263481146068e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.29445967442972953 y2[1] (numeric) 0.29445967442960663 absolute error 1.2290168882600483e-13 relative error 4.173803732685113e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.510000000000175 y1[1] (closed_form) 1.7156896267641832 y1[1] (numeric) 1.7156896267640562 absolute error 1.270095140171179e-13 relative error 7.402825781295874e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3015815307839116 y2[1] (numeric) 0.3015815307837851 absolute error 1.265099136560366e-13 relative error 4.194882668285252e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.520000000000178 y1[1] (closed_form) 1.722637910870715 y1[1] (numeric) 1.7226379108705867 absolute error 1.283417816466681e-13 relative error 7.450305188151652e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3087732284030019 y2[1] (numeric) 0.30877322840287164 absolute error 1.3028467193976212e-13 relative error 4.219429016356247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.530000000000181 y1[1] (closed_form) 1.7295139317883559 y1[1] (numeric) 1.7295139317882269 absolute error 1.290079154614432e-13 relative error 7.459200708955616e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.31603404812323155 y2[1] (numeric) 0.31603404812309754 absolute error 1.340039190722564e-13 relative error 4.240173483459734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.540000000000185 y1[1] (closed_form) 1.7363170019207441 y1[1] (numeric) 1.736317001920614 absolute error 1.3011813848606835e-13 relative error 7.49391605001445e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3233632638686792 y2[1] (numeric) 0.3233632638685415 absolute error 1.3772316620475067e-13 relative error 4.259085109330209e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.550000000000188 y1[1] (closed_form) 1.7430464409665358 y1[1] (numeric) 1.7430464409664046 absolute error 1.312283615106935e-13 relative error 7.528678434862936e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3307601427238779 y2[1] (numeric) 0.3307601427237364 absolute error 1.414979244884762e-13 relative error 4.277961767799822e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5600000000001915 y1[1] (closed_form) 1.7497015759874341 y1[1] (numeric) 1.749701575987302 absolute error 1.3211653993039363e-13 relative error 7.550804191042374e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3382239450071063 y2[1] (numeric) 0.338223945006961 absolute error 1.4527268277220173e-13 relative error 4.295162566599165e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.570000000000195 y1[1] (closed_form) 1.7562817414754828 y1[1] (numeric) 1.7562817414753502 absolute error 1.325606291402437e-13 relative error 7.547799764112858e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3457539243443557 y2[1] (numeric) 0.3457539243442066 absolute error 1.4910295220715852e-13 relative error 4.312400863993045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.580000000000198 y1[1] (closed_form) 1.7627862794196165 y1[1] (numeric) 1.762786279419483 absolute error 1.3344880755994382e-13 relative error 7.570333915004194e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.35334932774396766 y2[1] (numeric) 0.3533493277438146 absolute error 1.5304424394457783e-13 relative error 4.331244803031625e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.5900000000002015 y1[1] (closed_form) 1.7692145393714616 y1[1] (numeric) 1.7692145393713272 absolute error 1.3433698597964394e-13 relative error 7.59302973099967e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.36100939567193135 y2[1] (numeric) 0.3610093956717744 absolute error 1.5693002453076588e-13 relative error 4.3469789543476766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.600000000000205 y1[1] (closed_form) 1.775565878510379 y1[1] (numeric) 1.7755658785102442 absolute error 1.34781075189494e-13 relative error 7.590880001736086e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3687333621278376 y2[1] (numeric) 0.3687333621276767 absolute error 1.6087131626818518e-13 relative error 4.362808815016095e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.610000000000208 y1[1] (closed_form) 1.7818396617077483 y1[1] (numeric) 1.7818396617076129 absolute error 1.354472090042691e-13 relative error 7.601537439931826e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3765204547214772 y2[1] (numeric) 0.37652045472131246 absolute error 1.6475709685437323e-13 relative error 4.375780778663106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6200000000002115 y1[1] (closed_form) 1.7880352615904778 y1[1] (numeric) 1.7880352615903419 absolute error 1.3589129821411916e-13 relative error 7.600034581714137e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.3843698947500802 y2[1] (numeric) 0.3843698947499115 absolute error 1.6869838859179254e-13 relative error 4.3889594605602845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.630000000000215 y1[1] (closed_form) 1.7941520586037418 y1[1] (numeric) 1.794152058603606 absolute error 1.3589129821411916e-13 relative error 7.574123807536887e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.39228089727618487 y2[1] (numeric) 0.39228089727601223 absolute error 1.7263968032921184e-13 relative error 4.4009198900058877e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.640000000000218 y1[1] (closed_form) 1.8001894410729369 y1[1] (numeric) 1.8001894410728 absolute error 1.3677947663381929e-13 relative error 7.598060154841087e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.40025267120613106 y2[1] (numeric) 0.40025267120595437 absolute error 1.7669199436909366e-13 relative error 4.414511309484725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6500000000002215 y1[1] (closed_form) 1.8061468052648466 y1[1] (numeric) 1.8061468052647098 absolute error 1.3677947663381929e-13 relative error 7.57299884124106e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4082844193691689 y2[1] (numeric) 0.4082844193689882 absolute error 1.8074430840897548e-13 relative error 4.426921524172768e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.660000000000225 y1[1] (closed_form) 1.8120235554480166 y1[1] (numeric) 1.8120235554478796 absolute error 1.3700152123874432e-13 relative error 7.560692068645386e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.41637533859717524 y2[1] (numeric) 0.41637533859699033 absolute error 1.8490764475131982e-13 relative error 4.440888487159173e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.670000000000228 y1[1] (closed_form) 1.817819103952326 y1[1] (numeric) 1.817819103952189 absolute error 1.3700152123874432e-13 relative error 7.536587163204184e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4245246198049696 y2[1] (numeric) 0.4245246198047806 absolute error 1.8895995879120164e-13 relative error 4.4510954129824444e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.6800000000002315 y1[1] (closed_form) 1.8235328712277534 y1[1] (numeric) 1.8235328712276164 absolute error 1.3700152123874432e-13 relative error 7.512972395529318e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4327314480712222 y2[1] (numeric) 0.43273144807102915 absolute error 1.9306778398231472e-13 relative error 4.4616074205574763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.690000000000235 y1[1] (closed_form) 1.8291642859023334 y1[1] (numeric) 1.8291642859021966 absolute error 1.3677947663381929e-13 relative error 7.477703216053416e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.44099500271994563 y2[1] (numeric) 0.44099500271974834 absolute error 1.9728663147589032e-13 relative error 4.4736704556531545e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.700000000000238 y1[1] (closed_form) 1.834712784839291 y1[1] (numeric) 1.8347127848391547 absolute error 1.3633538742396922e-13 relative error 7.430884471430297e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.44931445740256104 y2[1] (numeric) 0.4493144574023596 absolute error 2.0144996781823465e-13 relative error 4.483496235193397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.7100000000002415 y1[1] (closed_form) 1.840177813193356 y1[1] (numeric) 1.8401778131932205 absolute error 1.354472090042691e-13 relative error 7.36055005299844e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4576889801805333 y2[1] (numeric) 0.45768898018032755 absolute error 2.057243264630415e-13 relative error 4.4948498952693706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.720000000000245 y1[1] (closed_form) 1.8455588244662477 y1[1] (numeric) 1.8455588244661125 absolute error 1.3522516439934407e-13 relative error 7.3270579407542e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.466117733608563 y2[1] (numeric) 0.46611773360835324 absolute error 2.0977664050292333e-13 relative error 4.5005076052113874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.730000000000248 y1[1] (closed_form) 1.8508552805613228 y1[1] (numeric) 1.8508552805611878 absolute error 1.3500311979441904e-13 relative error 7.294093774499519e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.47459987481833166 y2[1] (numeric) 0.47459987481811755 absolute error 2.1410651029896144e-13 relative error 4.511305663131866e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.740000000000252 y1[1] (closed_form) 1.8560666518373852 y1[1] (numeric) 1.8560666518372506 absolute error 1.3455903058456897e-13 relative error 7.2496874210505475e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4831345556027864 y2[1] (numeric) 0.48313455560256807 absolute error 2.1832535779253703e-13 relative error 4.518934844561921e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.750000000000255 y1[1] (closed_form) 1.8611924171616505 y1[1] (numeric) 1.8611924171615164 absolute error 1.341149413747189e-13 relative error 7.205861153208782e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.4917209225009612 y2[1] (numeric) 0.4917209225007387 absolute error 2.2254420528611263e-13 relative error 4.525823390923082e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.760000000000258 y1[1] (closed_form) 1.8662320639618573 y1[1] (numeric) 1.866232063961724 absolute error 1.3322676295501878e-13 relative error 7.1388100937559355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5003581168833214 y2[1] (numeric) 0.5003581168830947 absolute error 2.2670754162845697e-13 relative error 4.530905644952751e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.770000000000262 y1[1] (closed_form) 1.8711850882775258 y1[1] (numeric) 1.8711850882773928 absolute error 1.3300471835009375e-13 relative error 7.108047150617689e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5090452750376265 y2[1] (numeric) 0.5090452750373956 absolute error 2.3092638912203256e-13 relative error 4.5364607127521894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.780000000000265 y1[1] (closed_form) 1.8760509948103512 y1[1] (numeric) 1.8760509948102193 absolute error 1.318944953254686e-13 relative error 7.03043231182539e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5177815282553003 y2[1] (numeric) 0.5177815282550652 absolute error 2.3514523661560816e-13 relative error 4.541398713236176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.790000000000268 y1[1] (closed_form) 1.8808292969737361 y1[1] (numeric) 1.8808292969736045 absolute error 1.3167245072054357e-13 relative error 7.000765616125036e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5265660029183012 y2[1] (numeric) 0.526566002918062 absolute error 2.3925306180672123e-13 relative error 4.5436480988280264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.800000000000272 y1[1] (closed_form) 1.8855195169414452 y1[1] (numeric) 1.8855195169413146 absolute error 1.305622276959184e-13 relative error 6.924469703061314e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5353978205864833 y2[1] (numeric) 0.5353978205862399 absolute error 2.4347190930029683e-13 relative error 4.5474953378329744e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.810000000000275 y1[1] (closed_form) 1.8901211856953908 y1[1] (numeric) 1.890121185695261 absolute error 1.2967404927621828e-13 relative error 6.860620909262501e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5442760980854395 y2[1] (numeric) 0.5442760980851918 absolute error 2.476907567938724e-13 relative error 4.55082921453204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.820000000000278 y1[1] (closed_form) 1.8946338430725316 y1[1] (numeric) 1.894633843072403 absolute error 1.2856382625159313e-13 relative error 6.785681925912445e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5531999475948186 y2[1] (numeric) 0.5531999475945667 absolute error 2.51909604287448e-13 relative error 4.553680913794205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.830000000000282 y1[1] (closed_form) 1.899057037810891 y1[1] (numeric) 1.8990570378107634 absolute error 1.27675647831893e-13 relative error 6.72310758917853e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5621684767371062 y2[1] (numeric) 0.56216847673685 absolute error 2.5623947408348613e-13 relative error 4.5580548303016026e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.840000000000285 y1[1] (closed_form) 1.903390327594681 y1[1] (numeric) 1.903390327594554 absolute error 1.270095140171179e-13 relative error 6.672804425649265e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5711807886668616 y2[1] (numeric) 0.571180788666601 absolute error 2.6056934387952424e-13 relative error 4.5619416662751245e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.850000000000288 y1[1] (closed_form) 1.9076332790985342 y1[1] (numeric) 1.9076332790984087 absolute error 1.254552017826427e-13 relative error 6.5764842308647205e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5802359821604024 y2[1] (numeric) 0.5802359821601376 absolute error 2.6478819137309983e-13 relative error 4.563456929837573e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.860000000000292 y1[1] (closed_form) 1.9117854680308362 y1[1] (numeric) 1.9117854680307116 absolute error 1.2456702336294256e-13 relative error 6.515742767479461e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5893331517059248 y2[1] (numeric) 0.5893331517056557 absolute error 2.6911806116913795e-13 relative error 4.5664843457411154e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.870000000000295 y1[1] (closed_form) 1.9158464791761536 y1[1] (numeric) 1.9158464791760301 absolute error 1.234568003383174e-13 relative error 6.443981899395505e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5984713875940555 y2[1] (numeric) 0.598471387593782 absolute error 2.7344793096517606e-13 relative error 4.5691061700456166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.880000000000298 y1[1] (closed_form) 1.9198159064367561 y1[1] (numeric) 1.9198159064366345 absolute error 1.2168044349891716e-13 relative error 6.33813081196729e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6076497760088206 y2[1] (numeric) 0.6076497760085429 absolute error 2.7777780076121417e-13 relative error 4.5713470444393274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.890000000000302 y1[1] (closed_form) 1.9236933528732258 y1[1] (numeric) 1.9236933528731057 absolute error 1.2012613126444194e-13 relative error 6.244557173575596e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6168673991190275 y2[1] (numeric) 0.6168673991187454 absolute error 2.821076705572523e-13 relative error 4.573230340266665e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.900000000000305 y1[1] (closed_form) 1.92747843074415 y1[1] (numeric) 1.9274784307440316 absolute error 1.1834977442504169e-13 relative error 6.140134827830466e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6261233351700466 y2[1] (numeric) 0.6261233351697599 absolute error 2.866595849582154e-13 relative error 4.578324570515529e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.910000000000308 y1[1] (closed_form) 1.9311707615448954 y1[1] (numeric) 1.9311707615447793 absolute error 1.1612932837579137e-13 relative error 6.013415835008313e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6354166585759856 y2[1] (numeric) 0.635416658575695 absolute error 2.90656387846866e-13 relative error 4.574264522718807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.920000000000312 y1[1] (closed_form) 1.9347699760454597 y1[1] (numeric) 1.934769976045345 absolute error 1.1479706074624119e-13 relative error 5.933369969947471e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6447464400122487 y2[1] (numeric) 0.6447464400119537 absolute error 2.949862576429041e-13 relative error 4.575228947945801e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.930000000000315 y1[1] (closed_form) 1.9382757143273917 y1[1] (numeric) 1.9382757143272786 absolute error 1.1302070390684094e-13 relative error 5.830992106613722e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6541117465084669 y2[1] (numeric) 0.6541117465081675 absolute error 2.994271497414047e-13 relative error 4.5776146253250153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.940000000000318 y1[1] (closed_form) 1.9416876258197846 y1[1] (numeric) 1.9416876258196736 absolute error 1.1102230246251565e-13 relative error 5.717825101534641e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6635116415417952 y2[1] (numeric) 0.6635116415414914 absolute error 3.0375701953744283e-13 relative error 4.578020949739567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.950000000000322 y1[1] (closed_form) 1.9450053693343325 y1[1] (numeric) 1.9450053693342233 absolute error 1.092459456231154e-13 relative error 5.616742624237805e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6729451851305632 y2[1] (numeric) 0.6729451851302551 absolute error 3.0808688933348094e-13 relative error 4.578186992655377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.960000000000325 y1[1] (closed_form) 1.9482286130994488 y1[1] (numeric) 1.948228613099342 absolute error 1.0680345496894006e-13 relative error 5.482080195867044e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6824114339282734 y2[1] (numeric) 0.682411433927961 absolute error 3.1241675912951905e-13 relative error 4.578129023001634e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.970000000000328 y1[1] (closed_form) 1.9513570347934432 y1[1] (numeric) 1.9513570347933384 absolute error 1.0480505352461478e-13 relative error 5.370880451701074e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6919094413179345 y2[1] (numeric) 0.6919094413176179 absolute error 3.1663560662309465e-13 relative error 4.5762579279157373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.980000000000332 y1[1] (closed_form) 1.9543903215767529 y1[1] (numeric) 1.95439032157665 absolute error 1.028066520802895e-13 relative error 5.26029273401987e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7014382575067226 y2[1] (numeric) 0.7014382575064017 absolute error 3.2096547641913276e-13 relative error 4.5758193680511734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 5.990000000000335 y1[1] (closed_form) 1.9573281701232275 y1[1] (numeric) 1.957328170123127 absolute error 1.0036416142611415e-13 relative error 5.127610329125112e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7109969296209594 y2[1] (numeric) 0.7109969296206343 absolute error 3.2507330161024584e-13 relative error 4.572077431945397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.000000000000338 y1[1] (closed_form) 1.9601702866504604 y1[1] (numeric) 1.960170286650362 absolute error 9.836575998178887e-14 relative error 5.018225235414435e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.720584501801399 y2[1] (numeric) 0.7205845018010696 absolute error 3.2940317140628395e-13 relative error 4.571333002344687e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.010000000000342 y1[1] (closed_form) 1.9629163869491677 y1[1] (numeric) 1.9629163869490718 absolute error 9.592326932761353e-14 relative error 4.886773067124921e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7302000152988131 y2[1] (numeric) 0.7302000152984794 absolute error 3.3362201889985954e-13 relative error 4.568912789783145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.020000000000345 y1[1] (closed_form) 1.9655661964116076 y1[1] (numeric) 1.9655661964115145 absolute error 9.303668946358812e-14 relative error 4.733327711548891e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7398425085698648 y2[1] (numeric) 0.7398425085695269 absolute error 3.3784086639343514e-13 relative error 4.5663889608950763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.030000000000348 y1[1] (closed_form) 1.968119450059042 y1[1] (numeric) 1.9681194500589516 absolute error 9.037215420448774e-14 relative error 4.591802301520706e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7495110173732622 y2[1] (numeric) 0.7495110173729204 absolute error 3.418376692820857e-13 relative error 4.560809132333914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.040000000000352 y1[1] (closed_form) 1.970575892568234 y1[1] (numeric) 1.970575892568146 absolute error 8.79296635503124e-14 relative error 4.462130277850626e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7592045748661822 y2[1] (numeric) 0.7592045748658365 absolute error 3.4572344986827375e-13 relative error 4.553758780091797e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.050000000000355 y1[1] (closed_form) 1.9729352782969796 y1[1] (numeric) 1.9729352782968945 absolute error 8.504308368628699e-14 relative error 4.310485225835459e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7689222117009534 y2[1] (numeric) 0.7689222117006036 absolute error 3.4983127505938683e-13 relative error 4.5496315457647616e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.060000000000358 y1[1] (closed_form) 1.9751973713086721 y1[1] (numeric) 1.9751973713085897 absolute error 8.237854842718662e-14 relative error 4.170648950013866e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7786629561219904 y2[1] (numeric) 0.7786629561216365 absolute error 3.539391002504999e-13 relative error 4.5454724340970125e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.070000000000362 y1[1] (closed_form) 1.9773619453958955 y1[1] (numeric) 1.9773619453958158 absolute error 7.971401316808624e-14 relative error 4.031331408682814e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7884258340629683 y2[1] (numeric) 0.7884258340626102 absolute error 3.58046925441613e-13 relative error 4.541288602841714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.080000000000365 y1[1] (closed_form) 1.9794287841030447 y1[1] (numeric) 1.979428784102968 absolute error 7.66053886991358e-14 relative error 3.870075514429212e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.7982098692442287 y2[1] (numeric) 0.7982098692438666 absolute error 3.6204372833026355e-13 relative error 4.535695965185928e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.0900000000003685 y1[1] (closed_form) 1.9813976807479716 y1[1] (numeric) 1.9813976807478977 absolute error 7.394085344003543e-14 relative error 3.731752295789656e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8080140832704067 y2[1] (numeric) 0.8080140832700407 absolute error 3.660405312189141e-13 relative error 4.530125635154511e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.100000000000372 y1[1] (closed_form) 1.9832684384426522 y1[1] (numeric) 1.9832684384425814 absolute error 7.083222897108499e-14 relative error 3.571489748846379e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.81783749572827 y2[1] (numeric) 0.8178374957279 absolute error 3.700373341075647e-13 relative error 4.524582646801403e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.110000000000375 y1[1] (closed_form) 1.9850408701128763 y1[1] (numeric) 1.9850408701128088 absolute error 6.750155989720952e-14 relative error 3.4005123478072845e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.827679124284759 y2[1] (numeric) 0.827679124284385 absolute error 3.7403413699621524e-13 relative error 4.519071775785547e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1200000000003785 y1[1] (closed_form) 1.9867147985169535 y1[1] (numeric) 1.9867147985168891 absolute error 6.439293542825908e-14 relative error 3.2411766135897933e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8375379847852191 y2[1] (numeric) 0.8375379847848413 absolute error 3.7780889527994077e-13 relative error 4.510946394590417e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.130000000000382 y1[1] (closed_form) 1.9882900562634387 y1[1] (numeric) 1.9882900562633776 absolute error 6.106226635438361e-14 relative error 3.0710944895603883e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8474130913518163 y2[1] (numeric) 0.8474130913514345 absolute error 3.8180569816859133e-13 relative error 4.5055440146614276e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.140000000000385 y1[1] (closed_form) 1.9897664858278699 y1[1] (numeric) 1.9897664858278117 absolute error 5.81756864903582e-14 relative error 2.923744414468485e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8573034564821229 y2[1] (numeric) 0.8573034564817372 absolute error 3.856914787547794e-13 relative error 4.498890980067127e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1500000000003885 y1[1] (closed_form) 1.9911439395685204 y1[1] (numeric) 1.991143939568466 absolute error 5.440092820663267e-14 relative error 2.7321444284144176e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8672080911478679 y2[1] (numeric) 0.8672080911474782 absolute error 3.8968828164342995e-13 relative error 4.493596007938815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.160000000000392 y1[1] (closed_form) 1.9924222797411648 y1[1] (numeric) 1.992422279741114 absolute error 5.084821452783217e-14 relative error 2.552080201313441e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8771260048938386 y2[1] (numeric) 0.877126004893445 absolute error 3.93574062229618e-13 relative error 4.4870869183413795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.170000000000395 y1[1] (closed_form) 1.993601378512851 y1[1] (numeric) 1.9936013785128035 absolute error 4.75175454539567e-14 relative error 2.383502838937789e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8870562059369254 y2[1] (numeric) 0.8870562059365279 absolute error 3.9745984281580604e-13 relative error 4.480661317238647e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.1800000000003985 y1[1] (closed_form) 1.9946811179746842 y1[1] (numeric) 1.9946811179746406 absolute error 4.3520742565306136e-14 relative error 2.1818396019858693e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.8969977012652988 y2[1] (numeric) 0.8969977012648974 absolute error 4.013456234019941e-13 relative error 4.474321649162074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.190000000000402 y1[1] (closed_form) 1.9956613901536178 y1[1] (numeric) 1.9956613901535782 absolute error 3.952393967665557e-14 relative error 1.9804932776503324e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9069494967377109 y2[1] (numeric) 0.9069494967373057 absolute error 4.051203816857196e-13 relative error 4.466846093888733e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.200000000000405 y1[1] (closed_form) 1.996542097023251 y1[1] (numeric) 1.9965420970232155 absolute error 3.552713678800501e-14 relative error 1.7794333934142573e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9169105971829072 y2[1] (numeric) 0.9169105971824985 absolute error 4.0878411766698264e-13 relative error 4.458276727555778e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2100000000004085 y1[1] (closed_form) 1.997323150513631 y1[1] (numeric) 1.9973231505135995 absolute error 3.1530333899354446e-14 relative error 1.578629571847005e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9268800064991444 y2[1] (numeric) 0.9268800064987321 absolute error 4.122258090433206e-13 relative error 4.4474560477392406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.220000000000412 y1[1] (closed_form) 1.9980044725200594 y1[1] (numeric) 1.9980044725200314 absolute error 2.7977620220553945e-14 relative error 1.4002781577994219e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9368567277537985 y2[1] (numeric) 0.9368567277533827 absolute error 4.157785227221211e-13 relative error 4.4380160851167604e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.230000000000415 y1[1] (closed_form) 1.9985859949109033 y1[1] (numeric) 1.998585994910879 absolute error 2.4202861936828413e-14 relative error 1.2109992764112897e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9468397632830581 y2[1] (numeric) 0.9468397632826387 absolute error 4.1933123640092163e-13 relative error 4.4287455244479674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.2400000000004185 y1[1] (closed_form) 1.9990676595344083 y1[1] (numeric) 1.999067659534388 absolute error 2.042810365310288e-14 relative error 1.02188155341679e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 0.9568281147916893 y2[1] (numeric) 0.9568281147912665 absolute error 4.227729277772596e-13 relative error 4.4184835420445535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.250000000000422 y1[1] (closed_form) 1.9994494182245135 y1[1] (numeric) 1.999449418224497 absolute error 1.6431300764452317e-14 relative error 8.217912698708382e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.9668207834528648 y2[1] (numeric) 0.9668207834524386 absolute error 4.262146191535976e-13 relative error 4.408413911329377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.260000000000425 y1[1] (closed_form) 1.9997312328056678 y1[1] (numeric) 1.9997312328056558 absolute error 1.199040866595169e-14 relative error 5.99601009838151e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.9768167700080459 y2[1] (numeric) 0.9768167700076161 absolute error 4.297673328323981e-13 relative error 4.39967193467469e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.270000000000429 y1[1] (closed_form) 1.9999130750966478 y1[1] (numeric) 1.9999130750966403 absolute error 7.549516567451064e-15 relative error 3.774922351105798e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.9868150748669068 y2[1] (numeric) 0.9868150748664736 absolute error 4.332090242087361e-13 relative error 4.3899716901584994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.280000000000432 y1[1] (closed_form) 1.9999949269133765 y1[1] (numeric) 1.999994926913373 absolute error 3.552713678800501e-15 relative error 1.77636134521774e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 0.9968146982072936 y2[1] (numeric) 0.996814698206857 absolute error 4.3665071558507407e-13 relative error 4.3804602437179346e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.290000000000435 y1[1] (closed_form) 1.9999767800707402 y1[1] (numeric) 1.9999767800707409 absolute error 6.661338147750939e-16 relative error 3.330707743274562e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 y2[1] (closed_form) 1.0068146400752054 y2[1] (numeric) 1.0068146400747653 absolute error 4.4009240696141205e-13 relative error 4.371136348678231e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.300000000000439 y1[1] (closed_form) 1.9998586363834079 y1[1] (numeric) 1.9998586363834132 absolute error 5.329070518200751e-15 relative error 2.6647236065834984e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 1.0168139004847885 y2[1] (numeric) 1.0168139004843448 absolute error 4.4364512064021255e-13 relative error 4.3630906346647596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.310000000000442 y1[1] (closed_form) 1.9996405076656498 y1[1] (numeric) 1.99964050766566 absolute error 1.021405182655144e-14 relative error 5.107944046640249e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 1.0268114795183345 y2[1] (numeric) 1.0268114795178875 absolute error 4.46975789714088e-13 relative error 4.353046285806614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.320000000000445 y1[1] (closed_form) 1.999322415730156 y1[1] (numeric) 1.9993224157301708 absolute error 1.4876988529977098e-14 relative error 7.441015222421741e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 1.0368063774262717 y2[1] (numeric) 1.0368063774258214 absolute error 4.503064587879635e-13 relative error 4.343206876348378e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.330000000000449 y1[1] (closed_form) 1.9989043923858552 y1[1] (numeric) 1.9989043923858747 absolute error 1.9539925233402755e-14 relative error 9.775317572883144e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 y2[1] (closed_form) 1.046797594727138 y2[1] (numeric) 1.0467975947266845 absolute error 4.5341508325691393e-13 relative error 4.331449418118913e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.340000000000452 y1[1] (closed_form) 1.9983864794347332 y1[1] (numeric) 1.9983864794347574 absolute error 2.4202861936828413e-14 relative error 1.2111201805005442e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.0567841323075293 y2[1] (numeric) 1.0567841323070726 absolute error 4.567457523307894e-13 relative error 4.3220345420352526e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.350000000000455 y1[1] (closed_form) 1.9977687286676535 y1[1] (numeric) 1.9977687286676824 absolute error 2.886579864025407e-14 relative error 1.444901916124454e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.06676499152201 y2[1] (numeric) 1.0667649915215502 absolute error 4.598543767997398e-13 relative error 4.3107374206538336e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.360000000000459 y1[1] (closed_form) 1.9970512018591786 y1[1] (numeric) 1.9970512018592121 absolute error 3.352873534367973e-14 relative error 1.6789121537027068e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.076739174292976 y2[1] (numeric) 1.076739174292513 absolute error 4.629630012686903e-13 relative error 4.2996763963072835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.370000000000462 y1[1] (closed_form) 1.9962339707613905 y1[1] (numeric) 1.9962339707614294 absolute error 3.885780586188048e-14 relative error 1.9465556859078793e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.0867056832104613 y2[1] (numeric) 1.086705683209996 absolute error 4.654054919228656e-13 relative error 4.2827188549149325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.380000000000465 y1[1] (closed_form) 1.9953171170967186 y1[1] (numeric) 1.9953171170967623 absolute error 4.374278717023117e-14 relative error 2.1922724360666544e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.0966635216318805 y2[1] (numeric) 1.0966635216314122 absolute error 4.68292071786891e-13 relative error 4.270152718219834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.390000000000469 y1[1] (closed_form) 1.994300732549765 y1[1] (numeric) 1.9943007325498137 absolute error 4.8627768478581856e-14 relative error 2.4383367906810124e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.106611693781689 y2[1] (numeric) 1.106611693781218 absolute error 4.709566070459914e-13 relative error 4.2558433973941103e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.400000000000472 y1[1] (closed_form) 1.9931849187581376 y1[1] (numeric) 1.9931849187581911 absolute error 5.3512749786932545e-14 relative error 2.6847860067230437e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.116549204850962 y2[1] (numeric) 1.1165492048504886 absolute error 4.733990977001667e-13 relative error 4.239840892308517e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.410000000000475 y1[1] (closed_form) 1.9919697873022857 y1[1] (numeric) 1.9919697873023445 absolute error 5.88418203051333e-14 relative error 2.9539514444555137e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.1264750610968741 y2[1] (numeric) 1.1264750610963978 absolute error 4.762856775641922e-13 relative error 4.228106719916392e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.420000000000479 y1[1] (closed_form) 1.9906554596943422 y1[1] (numeric) 1.9906554596944064 absolute error 6.417089082333405e-14 relative error 3.2236060997309526e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.136388269942072 y2[1] (numeric) 1.1363882699415933 absolute error 4.787281682183675e-13 relative error 4.212716558951906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.430000000000482 y1[1] (closed_form) 1.9892420673659728 y1[1] (numeric) 1.9892420673660418 absolute error 6.905587213168474e-14 relative error 3.4714665080014174e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.146287840073932 y2[1] (numeric) 1.1462878400734506 absolute error 4.813927034774679e-13 relative error 4.199579605122737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.440000000000485 y1[1] (closed_form) 1.9877297516552321 y1[1] (numeric) 1.9877297516553065 absolute error 7.438494264988549e-14 relative error 3.7422060311741724e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.1561727815436909 y2[1] (numeric) 1.156172781543207 absolute error 4.838351941316432e-13 relative error 4.184800073615636e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.450000000000489 y1[1] (closed_form) 1.9861186637924315 y1[1] (numeric) 1.986118663792511 absolute error 7.949196856316121e-14 relative error 4.0023776027245916e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.1660421058654389 y2[1] (numeric) 1.1660421058649524 absolute error 4.864997293907436e-13 relative error 4.1722312337054285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.460000000000492 y1[1] (closed_form) 1.9844089648850143 y1[1] (numeric) 1.984408964885099 absolute error 8.482103908136196e-14 relative error 4.27437290308134e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.1758948261149684 y2[1] (numeric) 1.1758948261144795 absolute error 4.889422200449189e-13 relative error 4.15804380788316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.470000000000495 y1[1] (closed_form) 1.9826008259014465 y1[1] (numeric) 1.9826008259015366 absolute error 9.015010959956271e-14 relative error 4.547063050807183e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.1857299570284647 y2[1] (numeric) 1.185729957027974 absolute error 4.907185768843192e-13 relative error 4.1385357093793907e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.480000000000499 y1[1] (closed_form) 1.9806944276541198 y1[1] (numeric) 1.9806944276542156 absolute error 9.57012247226885e-14 relative error 4.8317006089644225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.195546515101033 y2[1] (numeric) 1.1955465151005393 absolute error 4.936051567483446e-13 relative error 4.128698888028051e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.490000000000502 y1[1] (closed_form) 1.9786899607812702 y1[1] (numeric) 1.9786899607813717 absolute error 1.0147438445073931e-13 relative error 5.128362020428554e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.2053435186850456 y2[1] (numeric) 1.2053435186845496 absolute error 4.960476474025199e-13 relative error 4.115404776421554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.500000000000505 y1[1] (closed_form) 1.9765876257279147 y1[1] (numeric) 1.976587625728022 absolute error 1.0724754417879012e-13 relative error 5.425893736398064e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.215119988088309 y2[1] (numeric) 1.2151199880878107 absolute error 4.982680934517703e-13 relative error 4.1005670084949546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.510000000000509 y1[1] (closed_form) 1.9743876327258068 y1[1] (numeric) 1.97438763272592 absolute error 1.1324274851176597e-13 relative error 5.735588424215609e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.2248749456720296 y2[1] (numeric) 1.224874945671529 absolute error 5.004885395010206e-13 relative error 4.086037854471966e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.520000000000512 y1[1] (closed_form) 1.9720902017724131 y1[1] (numeric) 1.9720902017725317 absolute error 1.1857181902996672e-13 relative error 6.0124947085787695e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.234607415948578 y2[1] (numeric) 1.2346074159480758 absolute error 5.022648963404208e-13 relative error 4.0682154493176996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.530000000000515 y1[1] (closed_form) 1.9696955626089148 y1[1] (numeric) 1.969695562609039 absolute error 1.2434497875801753e-13 relative error 6.312903431295711e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.2443164256790373 y2[1] (numeric) 1.2443164256785328 absolute error 5.044853423896711e-13 relative error 4.054317149388813e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.540000000000519 y1[1] (closed_form) 1.967203954697232 y1[1] (numeric) 1.9672039546973623 absolute error 1.3034018309099338e-13 relative error 6.6256568252504225e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.254001003970525 y2[1] (numeric) 1.2540010039700187 absolute error 5.062616992290714e-13 relative error 4.037171402782792e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.550000000000522 y1[1] (closed_form) 1.9646156271960804 y1[1] (numeric) 1.9646156271962165 absolute error 1.361133428190442e-13 relative error 6.928242905881114e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.263660182373282 y2[1] (numeric) 1.2636601823727742 absolute error 5.078160114635466e-13 relative error 4.018612112235875e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.560000000000525 y1[1] (closed_form) 1.9619308389360528 y1[1] (numeric) 1.9619308389361945 absolute error 1.4166445794216997e-13 relative error 7.220665230941272e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.2732929949775182 y2[1] (numeric) 1.2732929949770082 absolute error 5.100364575127969e-13 relative error 4.005648813938557e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.570000000000529 y1[1] (closed_form) 1.959149858393738 y1[1] (numeric) 1.9591498583938856 absolute error 1.4765966227514582e-13 relative error 7.53692534762035e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.28289847851 y2[1] (numeric) 1.282898478509488 absolute error 5.120348589571222e-13 relative error 3.991234439312892e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.580000000000532 y1[1] (closed_form) 1.9562729636648721 y1[1] (numeric) 1.956272963665026 absolute error 1.538769112130467e-13 relative error 7.8658200604467e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.2924756724303785 y2[1] (numeric) 1.2924756724298647 absolute error 5.138112157965224e-13 relative error 3.9754033809421646e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.590000000000535 y1[1] (closed_form) 1.9533004424365314 y1[1] (numeric) 1.9533004424366918 absolute error 1.603162047558726e-13 relative error 8.207452436548647e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.302023619027243 y2[1] (numeric) 1.3020236190267274 absolute error 5.155875726359227e-13 relative error 3.95989416091487e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.600000000000539 y1[1] (closed_form) 1.9502325919583616 y1[1] (numeric) 1.9502325919585277 absolute error 1.6608936448392342e-13 relative error 8.516387489819446e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.3115413635138902 y2[1] (numeric) 1.3115413635133728 absolute error 5.173639294753229e-13 relative error 3.9447015844715574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.610000000000542 y1[1] (closed_form) 1.9470697190128536 y1[1] (numeric) 1.947069719013026 absolute error 1.723066134218243e-13 relative error 8.849534854313392e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.3210279541238028 y2[1] (numeric) 1.321027954123284 absolute error 5.186961971048731e-13 relative error 3.926458902596867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6200000000005454 y1[1] (closed_form) 1.9438121398846664 y1[1] (numeric) 1.943812139884845 absolute error 1.7852386235972517e-13 relative error 9.1842137774856e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.3304824422058257 y2[1] (numeric) 1.3304824422053054 absolute error 5.202505093393484e-13 relative error 3.910239570518628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.630000000000549 y1[1] (closed_form) 1.9404601803289983 y1[1] (numeric) 1.9404601803291828 absolute error 1.8451906669270102e-13 relative error 9.50903649367422e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.339903882319029 y2[1] (numeric) 1.3399038823185077 absolute error 5.213607323639735e-13 relative error 3.8910308361942514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.640000000000552 y1[1] (closed_form) 1.9370141755390111 y1[1] (numeric) 1.9370141755392023 absolute error 1.9118040484045196e-13 relative error 9.869850580068799e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 y2[1] (closed_form) 1.3492913323272524 y2[1] (numeric) 1.3492913323267304 absolute error 5.220268661787486e-13 relative error 3.8688966101809805e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6500000000005555 y1[1] (closed_form) 1.9334744701123128 y1[1] (numeric) 1.9334744701125104 absolute error 1.9761969838327786e-13 relative error 1.0220962388595615e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3586438534933185 y2[1] (numeric) 1.3586438534927952 absolute error 5.233591338082988e-13 relative error 3.8520700804898063e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.660000000000559 y1[1] (closed_form) 1.9298414180164958 y1[1] (numeric) 1.9298414180167003 absolute error 2.0450308113595383e-13 relative error 1.0596885279109799e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.367960510572904 y2[1] (numeric) 1.3679605105723796 absolute error 5.24469356832924e-13 relative error 3.833951000627024e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.670000000000562 y1[1] (closed_form) 1.9261153825537425 y1[1] (numeric) 1.9261153825539534 absolute error 2.1094237467877974e-13 relative error 1.0951699809338605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.377240371908065 y2[1] (numeric) 1.3772403719075397 absolute error 5.253575352526241e-13 relative error 3.814566766764032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.6800000000005655 y1[1] (closed_form) 1.922296736324494 y1[1] (numeric) 1.9222967363247114 absolute error 2.1738166822160565e-13 relative error 1.1308434546752019e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3864825095204012 y2[1] (numeric) 1.3864825095198752 absolute error 5.260236690673992e-13 relative error 3.793943778269199e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.690000000000569 y1[1] (closed_form) 1.918385861190191 y1[1] (numeric) 1.9183858611904152 absolute error 2.2426505097428162e-13 relative error 1.1690299408021321e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.3956859992038528 y2[1] (numeric) 1.395685999203326 absolute error 5.269118474870993e-13 relative error 3.775289340064082e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.700000000000572 y1[1] (closed_form) 1.9143831482350877 y1[1] (numeric) 1.9143831482353189 absolute error 2.311484337269576e-13 relative error 1.2074303617855102e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4048499206171212 y2[1] (numeric) 1.4048499206165939 absolute error 5.273559366969494e-13 relative error 3.7538240132105564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7100000000005755 y1[1] (closed_form) 1.9102889977271444 y1[1] (numeric) 1.9102889977273823 absolute error 2.3780977187470853e-13 relative error 1.2448889783569597e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4139733573757018 y2[1] (numeric) 1.4139733573751738 absolute error 5.280220705117245e-13 relative error 3.734314142182423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.720000000000579 y1[1] (closed_form) 1.9061038190780002 y1[1] (numeric) 1.9061038190782447 absolute error 2.4447111002245947e-13 relative error 1.2825697507951712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4230553971435216 y2[1] (numeric) 1.4230553971429927 absolute error 5.289102489314246e-13 relative error 3.7167228344946964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.730000000000582 y1[1] (closed_form) 1.9018280308020319 y1[1] (numeric) 1.901828030802283 absolute error 2.511324481702104e-13 relative error 1.3204792657530859e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.432095131724172 y2[1] (numeric) 1.4320951317236423 absolute error 5.295763827461997e-13 relative error 3.6979134347633447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7400000000005855 y1[1] (closed_form) 1.8974620604745043 y1[1] (numeric) 1.897462060474762 absolute error 2.5779378631796135e-13 relative error 1.3586241943277329e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4410916571517276 y2[1] (numeric) 1.4410916571511976 absolute error 5.300204719560497e-13 relative error 3.6779095162039766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.750000000000589 y1[1] (closed_form) 1.8930063446888117 y1[1] (numeric) 1.8930063446890761 absolute error 2.644551244657123e-13 relative error 1.3970112947993614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4500440737811435 y2[1] (numeric) 1.450044073780613 absolute error 5.304645611658998e-13 relative error 3.6582650883338825e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.760000000000592 y1[1] (closed_form) 1.8884613290128196 y1[1] (numeric) 1.8884613290130907 absolute error 2.7111646261346323e-13 relative error 1.4356474154288747e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4589514863782167 y2[1] (numeric) 1.4589514863776862 absolute error 5.304645611658998e-13 relative error 3.635930091704111e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.7700000000005955 y1[1] (closed_form) 1.883827467944308 y1[1] (numeric) 1.883827467944586 absolute error 2.779998453661392e-13 relative error 1.475718185962653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4678130042091102 y2[1] (numeric) 1.46781300420858 absolute error 5.302425165609748e-13 relative error 3.6124664043747254e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.780000000000599 y1[1] (closed_form) 1.8791052248655227 y1[1] (numeric) 1.8791052248658073 absolute error 2.8466118351389014e-13 relative error 1.5148762280423214e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4766277411294257 y2[1] (numeric) 1.4766277411288953 absolute error 5.304645611658998e-13 relative error 3.592405495241233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.790000000000602 y1[1] (closed_form) 1.8742950719968356 y1[1] (numeric) 1.8742950719971272 absolute error 2.915445662665661e-13 relative error 1.5554891576167912e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4853948156728167 y2[1] (numeric) 1.4853948156722863 absolute error 5.304645611658998e-13 relative error 3.571202454517948e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.800000000000606 y1[1] (closed_form) 1.869397490349526 y1[1] (numeric) 1.8693974903498243 absolute error 2.9820590441431705e-13 relative error 1.5951979498943305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.4941133511391347 y2[1] (numeric) 1.4941133511386042 absolute error 5.304645611658998e-13 relative error 3.550363570216848e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.810000000000609 y1[1] (closed_form) 1.8644129696776766 y1[1] (numeric) 1.8644129696779816 absolute error 3.05089287166993e-13 relative error 1.6363825618512913e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5027824756820987 y2[1] (numeric) 1.5027824756815682 absolute error 5.304645611658998e-13 relative error 3.529882532900358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.820000000000612 y1[1] (closed_form) 1.8593420084292012 y1[1] (numeric) 1.8593420084295131 absolute error 3.11972669919669e-13 relative error 1.67786597896117e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5114013223964782 y2[1] (numeric) 1.5114013223959482 absolute error 5.300204719560497e-13 relative error 3.5068149279878175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.830000000000616 y1[1] (closed_form) 1.8541851136959988 y1[1] (numeric) 1.8541851136963177 absolute error 3.1885605267234496e-13 relative error 1.7196559842763503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5199690294047845 y2[1] (numeric) 1.5199690294042547 absolute error 5.297984273511247e-13 relative error 3.485586989615126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.840000000000619 y1[1] (closed_form) 1.8489428011632452 y1[1] (numeric) 1.8489428011635711 absolute error 3.2596148002994596e-13 relative error 1.7629614059714034e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5284847399434565 y2[1] (numeric) 1.5284847399429273 absolute error 5.291322935363496e-13 relative error 3.461809462068453e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.850000000000622 y1[1] (closed_form) 1.8436155950578255 y1[1] (numeric) 1.8436155950581583 absolute error 3.3284486278262193e-13 relative error 1.8053918814468596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5369476024485362 y2[1] (numeric) 1.5369476024480075 absolute error 5.286882043264995e-13 relative error 3.439858349655107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.860000000000626 y1[1] (closed_form) 1.8382040280959102 y1[1] (numeric) 1.8382040280962504 absolute error 3.4017233474514796e-13 relative error 1.850568976815446e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5453567706408262 y2[1] (numeric) 1.545356770640298 absolute error 5.282441151166495e-13 relative error 3.4182664168714774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.870000000000629 y1[1] (closed_form) 1.8327086414296865 y1[1] (numeric) 1.8327086414300338 absolute error 3.4727776210274897e-13 relative error 1.8948880048486015e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5537114036105142 y2[1] (numeric) 1.553711403609987 absolute error 5.271338920920243e-13 relative error 3.3927400601364626e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.880000000000632 y1[1] (closed_form) 1.8271299845932412 y1[1] (numeric) 1.8271299845935955 absolute error 3.5438318946034997e-13 relative error 1.939562004064223e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.562010665901266 y2[1] (numeric) 1.5620106659007393 absolute error 5.266898028821743e-13 relative error 3.371870720090628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.890000000000636 y1[1] (closed_form) 1.8214686154476092 y1[1] (numeric) 1.8214686154479707 absolute error 3.6148861681795097e-13 relative error 1.984599755121877e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5702537275937685 y2[1] (numeric) 1.5702537275932424 absolute error 5.260236690673992e-13 relative error 3.3499278481157906e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.900000000000639 y1[1] (closed_form) 1.8157251001249874 y1[1] (numeric) 1.8157251001253558 absolute error 3.6837199957062694e-13 relative error 2.0287872847341794e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5784397643887211 y2[1] (numeric) 1.578439764388196 absolute error 5.25135490647699e-13 relative error 3.326927656634823e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.910000000000642 y1[1] (closed_form) 1.8099000129721219 y1[1] (numeric) 1.8099000129724974 absolute error 3.7547742692822794e-13 relative error 2.0745755248194003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5865679576892664 y2[1] (numeric) 1.5865679576887421 absolute error 5.242473122279989e-13 relative error 3.304285263592057e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.920000000000646 y1[1] (closed_form) 1.8039939364928732 y1[1] (numeric) 1.8039939364932558 absolute error 3.8258285428582894e-13 relative error 2.1207546574663354e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.5946374946828477 y2[1] (numeric) 1.5946374946823245 absolute error 5.231370892033738e-13 relative error 3.280601960932938e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.930000000000649 y1[1] (closed_form) 1.7980074612899681 y1[1] (numeric) 1.7980074612903574 absolute error 3.892441924335799e-13 relative error 2.1648641666610178e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6026475684224903 y2[1] (numeric) 1.6026475684219683 absolute error 5.220268661787486e-13 relative error 3.257277997136871e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.940000000000652 y1[1] (closed_form) 1.7919411860059378 y1[1] (numeric) 1.7919411860063346 absolute error 3.9679370900103095e-13 relative error 2.21432328303947e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6105973779074954 y2[1] (numeric) 1.6105973779069747 absolute error 5.206945985491984e-13 relative error 3.232928388506941e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.950000000000656 y1[1] (closed_form) 1.7857957172632557 y1[1] (numeric) 1.78579571726366 absolute error 4.04343225568482e-13 relative error 2.2642188110303053e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.618486128163539 y2[1] (numeric) 1.6184861281630196 absolute error 5.193623309196482e-13 relative error 3.208939031865274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.960000000000659 y1[1] (closed_form) 1.7795716696036747 y1[1] (numeric) 1.7795716696040869 absolute error 4.121147867408581e-13 relative error 2.3158088756978216e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6263130303221698 y2[1] (numeric) 1.6263130303216518 absolute error 5.18030063290098e-13 relative error 3.1853035278668165e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.970000000000662 y1[1] (closed_form) 1.7732696654267743 y1[1] (numeric) 1.7732696654271938 absolute error 4.1944225870338414e-13 relative error 2.3653608183865066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6340773016996937 y2[1] (numeric) 1.6340773016991776 absolute error 5.160316618457728e-13 relative error 3.1579391091781266e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.980000000000666 y1[1] (closed_form) 1.7668903349277203 y1[1] (numeric) 1.7668903349281468 absolute error 4.2654768606098514e-13 relative error 2.4141152262199358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.641778165875444 y2[1] (numeric) 1.6417781658749295 absolute error 5.144773496112975e-13 relative error 3.133659347558464e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 6.990000000000669 y1[1] (closed_form) 1.7604343160342468 y1[1] (numeric) 1.7604343160346805 absolute error 4.3365311341858614e-13 relative error 2.4633302672461086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6494148527694197 y2[1] (numeric) 1.6494148527689072 absolute error 5.124789481669723e-13 relative error 3.107034881530889e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.000000000000672 y1[1] (closed_form) 1.7539022543428628 y1[1] (numeric) 1.7539022543433038 absolute error 4.409805853811122e-13 relative error 2.514282562150734e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.656986598719296 y2[1] (numeric) 1.656986598718785 absolute error 5.10924635932497e-13 relative error 3.083456657569811e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.010000000000676 y1[1] (closed_form) 1.7472948030542943 y1[1] (numeric) 1.7472948030547426 absolute error 4.483080573436382e-13 relative error 2.5657264965247412e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6644926465567873 y2[1] (numeric) 1.6644926465562784 absolute error 5.089262344881718e-13 relative error 3.057545706440637e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.020000000000679 y1[1] (closed_form) 1.7406126229081642 y1[1] (numeric) 1.7406126229086196 absolute error 4.554134847012392e-13 relative error 2.6163976907185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6719322456833647 y2[1] (numeric) 1.6719322456828578 absolute error 5.069278330438465e-13 relative error 3.031987895159299e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.030000000000682 y1[1] (closed_form) 1.733856382116918 y1[1] (numeric) 1.7338563821173807 absolute error 4.627409566637652e-13 relative error 2.6688540148797718e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6793046521453154 y2[1] (numeric) 1.6793046521448112 absolute error 5.042632977847461e-13 relative error 3.00281010441166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.040000000000686 y1[1] (closed_form) 1.7270267562990052 y1[1] (numeric) 1.7270267562994748 absolute error 4.696243394164412e-13 relative error 2.719264989402016e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6866091287081368 y2[1] (numeric) 1.6866091287076355 absolute error 5.013767179207207e-13 relative error 2.9726906453112325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.050000000000689 y1[1] (closed_form) 1.720124428411316 y1[1] (numeric) 1.720124428411793 absolute error 4.769518113789672e-13 relative error 2.772775059182629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.6938449449302602 y2[1] (numeric) 1.6938449449297606 absolute error 4.996003610813204e-13 relative error 2.94950469094968e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.060000000000692 y1[1] (closed_form) 1.7131500886808873 y1[1] (numeric) 1.7131500886813713 absolute error 4.840572387365683e-13 relative error 2.8255389993838118e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7010113772360922 y2[1] (numeric) 1.701011377235595 absolute error 4.971578704271451e-13 relative error 2.9227192544411886e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.070000000000696 y1[1] (closed_form) 1.70610443453588 y1[1] (numeric) 1.7061044345363712 absolute error 4.911626660941693e-13 relative error 2.8788546360456688e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7081077089883747 y2[1] (numeric) 1.7081077089878802 absolute error 4.944933351680447e-13 relative error 2.8949774804359846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.080000000000699 y1[1] (closed_form) 1.6989881705358378 y1[1] (numeric) 1.6989881705363363 absolute error 4.984901380566953e-13 relative error 2.9340412529151294e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7151332305598466 y2[1] (numeric) 1.7151332305593545 absolute error 4.920508445138694e-13 relative error 2.8688782640708106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.090000000000702 y1[1] (closed_form) 1.69180200830123 y1[1] (numeric) 1.6918020083017362 absolute error 5.062616992290714e-13 relative error 2.9924405855116475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7220872394042044 y2[1] (numeric) 1.722087239403715 absolute error 4.89386309254769e-13 relative error 2.8418206584242703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.100000000000706 y1[1] (closed_form) 1.684546666442292 y1[1] (numeric) 1.684546666442805 absolute error 5.131450819817474e-13 relative error 3.046190955727532e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7289690401263593 y2[1] (numeric) 1.7289690401258728 absolute error 4.864997293907436e-13 relative error 2.813814001870088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.110000000000709 y1[1] (closed_form) 1.6772228704871632 y1[1] (numeric) 1.6772228704876833 absolute error 5.200284647344233e-13 relative error 3.1005328742230704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7357779445519737 y2[1] (numeric) 1.73577794455149 absolute error 4.836131495267182e-13 relative error 2.7861464137427147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.120000000000712 y1[1] (closed_form) 1.669831352809336 y1[1] (numeric) 1.6698313528098636 absolute error 5.275779813018744e-13 relative error 3.1594686518148884e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.742513271796279 y2[1] (numeric) 1.7425132717957983 absolute error 4.807265696626928e-13 relative error 2.7588115249597684e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.130000000000716 y1[1] (closed_form) 1.662372852554419 y1[1] (numeric) 1.6623728525549537 absolute error 5.346834086594754e-13 relative error 3.216386792156016e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7491743483321636 y2[1] (numeric) 1.749174348331686 absolute error 4.776179451937423e-13 relative error 2.7305336694947003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.140000000000719 y1[1] (closed_form) 1.6548481155662218 y1[1] (numeric) 1.6548481155667638 absolute error 5.420108806220014e-13 relative error 3.275290798736217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.755760508057525 y2[1] (numeric) 1.7557605080570502 absolute error 4.747313653297169e-13 relative error 2.7038503437745796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1500000000007224 y1[1] (closed_form) 1.6472578943121732 y1[1] (numeric) 1.6472578943127223 absolute error 5.491163079796024e-13 relative error 3.333517537694914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7622710923618787 y2[1] (numeric) 1.762271092361407 absolute error 4.716227408607665e-13 relative error 2.676221285731218e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.160000000000726 y1[1] (closed_form) 1.639602947808073 y1[1] (numeric) 1.6396029478086296 absolute error 5.566658245470535e-13 relative error 3.395125785125236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.76870545019222 y2[1] (numeric) 1.7687054501917518 absolute error 4.68070027181966e-13 relative error 2.6463989644578577e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.170000000000729 y1[1] (closed_form) 1.6318840415421927 y1[1] (numeric) 1.6318840415427567 absolute error 5.639932965095795e-13 relative error 3.456086842889795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7750629381181278 y2[1] (numeric) 1.7750629381176632 absolute error 4.645173135031655e-13 relative error 2.6169061588071564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.1800000000007325 y1[1] (closed_form) 1.6241019473987262 y1[1] (numeric) 1.6241019473992973 absolute error 5.710987238671805e-13 relative error 3.5163970142508093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7813429203961073 y2[1] (numeric) 1.7813429203956463 absolute error 4.60964599824365e-13 relative error 2.587736446174344e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.190000000000736 y1[1] (closed_form) 1.616257443580603 y1[1] (numeric) 1.616257443581181 absolute error 5.779821066198565e-13 relative error 3.576052249073725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7875447690331643 y2[1] (numeric) 1.7875447690327066 absolute error 4.576339307504895e-13 relative error 2.5601257024628905e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.200000000000739 y1[1] (closed_form) 1.6083513145316681 y1[1] (numeric) 1.6083513145322532 absolute error 5.850875339774575e-13 relative error 3.637809281412051e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.7936678638496026 y2[1] (numeric) 1.793667863849149 absolute error 4.5363712786183896e-13 relative error 2.5291032805161302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2100000000007425 y1[1] (closed_form) 1.6003843508582376 y1[1] (numeric) 1.6003843508588296 absolute error 5.919709167301335e-13 relative error 3.6989296753162915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.799711592541044 y2[1] (numeric) 1.799711592540594 absolute error 4.5008441418303846e-13 relative error 2.500869672943299e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.220000000000746 y1[1] (closed_form) 1.5923573492500398 y1[1] (numeric) 1.5923573492506389 absolute error 5.990763440877345e-13 relative error 3.762197878320996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.805675350739655 y2[1] (numeric) 1.8056753507392092 absolute error 4.4586556668946287e-13 relative error 2.4692454626842188e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.230000000000749 y1[1] (closed_form) 1.5842711124005464 y1[1] (numeric) 1.584271112401153 absolute error 6.066258606551855e-13 relative error 3.829053347668528e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8115585420745863 y2[1] (numeric) 1.8115585420741442 absolute error 4.4209080840573733e-13 relative error 2.440389300913552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2400000000007525 y1[1] (closed_form) 1.5761264489267042 y1[1] (numeric) 1.576126448927318 absolute error 6.137312880127865e-13 relative error 3.893921635733729e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8173605782316065 y2[1] (numeric) 1.8173605782311684 absolute error 4.3809400551708677e-13 relative error 2.4106058575529174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.250000000000756 y1[1] (closed_form) 1.5679241732880729 y1[1] (numeric) 1.5679241732886933 absolute error 6.203926261605375e-13 relative error 3.956776971296516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8230808790119348 y2[1] (numeric) 1.8230808790115012 absolute error 4.3365311341858614e-13 relative error 2.378682802342897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.260000000000759 y1[1] (closed_form) 1.5596651057053812 y1[1] (numeric) 1.5596651057060085 absolute error 6.272760089132134e-13 relative error 4.021863454010653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8287188723902603 y2[1] (numeric) 1.8287188723898309 absolute error 4.2943426592501055e-13 relative error 2.348279292178522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.2700000000007625 y1[1] (closed_form) 1.551350072078505 y1[1] (numeric) 1.5513500720791396 absolute error 6.346034808757395e-13 relative error 4.0906529886287705e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8342739945719435 y2[1] (numeric) 1.8342739945715187 absolute error 4.247713292215849e-13 relative error 2.3157463414876136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.280000000000766 y1[1] (closed_form) 1.5429799039038778 y1[1] (numeric) 1.5429799039045193 absolute error 6.414868636284154e-13 relative error 4.157454429609848e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8397456900493956 y2[1] (numeric) 1.8397456900489753 absolute error 4.2033043712308427e-13 relative error 2.2847203251868944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.290000000000769 y1[1] (closed_form) 1.534555438191342 y1[1] (numeric) 1.5345554381919906 absolute error 6.485922909860165e-13 relative error 4.226581033465043e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8451334116576286 y2[1] (numeric) 1.8451334116572127 absolute error 4.1588954502458364e-13 relative error 2.2539808904709895e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.3000000000007725 y1[1] (closed_form) 1.5260775173804482 y1[1] (numeric) 1.526077517381104 absolute error 6.559197629485425e-13 relative error 4.2980763131511556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.850436620628971 y2[1] (numeric) 1.85043662062856 absolute error 4.1100456371623295e-13 relative error 2.2211220807796746e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.310000000000776 y1[1] (closed_form) 1.5175469892562128 y1[1] (numeric) 1.517546989256876 absolute error 6.632472349110685e-13 relative error 4.3705218988714306e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8556547866469453 y2[1] (numeric) 1.8556547866465392 absolute error 4.0611958240788226e-13 relative error 2.188551369200063e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.320000000000779 y1[1] (closed_form) 1.5089647068643397 y1[1] (numeric) 1.5089647068650096 absolute error 6.699085730588195e-13 relative error 4.4395244634376073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8607873878992982 y2[1] (numeric) 1.860787387898897 absolute error 4.0123460109953157e-13 relative error 2.1562624709773964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.330000000000783 y1[1] (closed_form) 1.500331528425916 y1[1] (numeric) 1.5003315284265928 absolute error 6.767919558114954e-13 relative error 4.5109493667813325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8658339111301814 y2[1] (numeric) 1.8658339111297855 absolute error 3.959055305813308e-13 relative error 2.1218690914537036e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.340000000000786 y1[1] (closed_form) 1.4916483172515909 y1[1] (numeric) 1.4916483172522743 absolute error 6.834532939592464e-13 relative error 4.581866154741693e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8707938516914775 y2[1] (numeric) 1.8707938516910867 absolute error 3.907985046680551e-13 relative error 2.0889447777194414e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.350000000000789 y1[1] (closed_form) 1.4829159416552464 y1[1] (numeric) 1.4829159416559368 absolute error 6.903366767119223e-13 relative error 4.6552650579867744e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8756667135932634 y2[1] (numeric) 1.8756667135928782 absolute error 3.852473895449293e-13 relative error 2.0539224093117317e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.360000000000793 y1[1] (closed_form) 1.474135274867165 y1[1] (numeric) 1.4741352748678622 absolute error 6.972200594645983e-13 relative error 4.7296884577124384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.88045200955341 y2[1] (numeric) 1.88045200955303 absolute error 3.801403636316536e-13 relative error 2.0215371713843067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.370000000000796 y1[1] (closed_form) 1.465307194946708 y1[1] (numeric) 1.4653071949474126 absolute error 7.045475314271243e-13 relative error 4.808189940354099e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8851492610463088 y2[1] (numeric) 1.8851492610459337 absolute error 3.750333377183779e-13 relative error 1.9894092498024495e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.380000000000799 y1[1] (closed_form) 1.4564325846945112 y1[1] (numeric) 1.4564325846952222 absolute error 7.109868249699502e-13 relative error 4.881700893276023e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8897579983507244 y2[1] (numeric) 1.8897579983503552 absolute error 3.6926017799032707e-13 relative error 1.9540077529112025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.390000000000803 y1[1] (closed_form) 1.4475123315642042 y1[1] (numeric) 1.4475123315649219 absolute error 7.176481631177012e-13 relative error 4.957803449882872e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8942777605967676 y2[1] (numeric) 1.8942777605964045 absolute error 3.630429290524262e-13 relative error 1.9165242637809053e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.400000000000806 y1[1] (closed_form) 1.4385473275736662 y1[1] (numeric) 1.4385473275743905 absolute error 7.243095012654521e-13 relative error 5.035006408076353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.8987080958119802 y2[1] (numeric) 1.8987080958116227 absolute error 3.574918139293004e-13 relative error 1.882816082776639e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.410000000000809 y1[1] (closed_form) 1.429538469215826 y1[1] (numeric) 1.4295384692165565 absolute error 7.30526750203353e-13 relative error 5.110227992703714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9030485609665324 y2[1] (numeric) 1.903048560966181 absolute error 3.5149660959632456e-13 relative error 1.8470186037596657e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.420000000000813 y1[1] (closed_form) 1.4204866573690116 y1[1] (numeric) 1.4204866573697486 absolute error 7.369660437461789e-13 relative error 5.1881236611624934e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9072987220175257 y2[1] (numeric) 1.9072987220171802 absolute error 3.455014052633487e-13 relative error 1.8114698095004227e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.430000000000816 y1[1] (closed_form) 1.4113927972068647 y1[1] (numeric) 1.4113927972076081 absolute error 7.434053372890048e-13 relative error 5.267175365781929e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9114581539523972 y2[1] (numeric) 1.9114581539520579 absolute error 3.3928415632544784e-13 relative error 1.7750017473513435e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.440000000000819 y1[1] (closed_form) 1.402257798107823 y1[1] (numeric) 1.4022577981085729 absolute error 7.498446308318307e-13 relative error 5.347409241322496e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.915526440831419 y2[1] (numeric) 1.9155264408310855 absolute error 3.33510996597397e-13 relative error 1.74109315062568e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.450000000000823 y1[1] (closed_form) 1.3930825735641845 y1[1] (numeric) 1.393082573564941 absolute error 7.565059689795817e-13 relative error 5.430446000369314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.919503175829294 y2[1] (numeric) 1.9195031758289667 absolute error 3.2729374765949615e-13 relative error 1.7050961508208683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.460000000000826 y1[1] (closed_form) 1.3838680410907571 y1[1] (numeric) 1.38386804109152 absolute error 7.629452625224076e-13 relative error 5.5131359339800804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.923387961275836 y2[1] (numeric) 1.9233879612755154 absolute error 3.206324095117452e-13 relative error 1.6670189060508674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.470000000000829 y1[1] (closed_form) 1.3746151221331098 y1[1] (numeric) 1.3746151221338792 absolute error 7.693845560652335e-13 relative error 5.5970907323594156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9271804086957376 y2[1] (numeric) 1.9271804086954236 absolute error 3.1397107136399427e-13 relative error 1.629173220873915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.480000000000833 y1[1] (closed_form) 1.365324741975427 y1[1] (numeric) 1.3653247419762027 absolute error 7.756018050031344e-13 relative error 5.6807130286158215e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9308801388474177 y2[1] (numeric) 1.93088013884711 absolute error 3.077538224260934e-13 relative error 1.5938525454500663e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.490000000000836 y1[1] (closed_form) 1.3559978296479833 y1[1] (numeric) 1.3559978296487647 absolute error 7.813749647311852e-13 relative error 5.762361470254196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9344867817609437 y2[1] (numeric) 1.9344867817606421 absolute error 3.015365734881925e-13 relative error 1.5587419688322027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.500000000000839 y1[1] (closed_form) 1.3466353178342385 y1[1] (numeric) 1.346635317835026 absolute error 7.87592213669086e-13 relative error 5.848593180637442e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9379999767750298 y2[1] (numeric) 1.9379999767747351 absolute error 2.9465319073551655e-13 relative error 1.5203983192292937e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.510000000000843 y1[1] (closed_form) 1.3372381427775721 y1[1] (numeric) 1.3372381427783657 absolute error 7.935874180020619e-13 relative error 5.934525740895369e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9414193725731024 y2[1] (numeric) 1.9414193725728148 absolute error 2.8754776337791554e-13 relative error 1.4811213251509274e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.520000000000846 y1[1] (closed_form) 1.3278072441876587 y1[1] (numeric) 1.3278072441884583 absolute error 7.995826223350377e-13 relative error 6.02182753434378e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9447446272184314 y2[1] (numeric) 1.9447446272181508 absolute error 2.8066438062523957e-13 relative error 1.4431940147672442e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.530000000000849 y1[1] (closed_form) 1.3183435651464983 y1[1] (numeric) 1.3183435651473037 absolute error 8.053557820630886e-13 relative error 6.108846004596647e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9479754081883227 y2[1] (numeric) 1.9479754081880492 absolute error 2.7355895326763857e-13 relative error 1.4043244699996334e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.540000000000853 y1[1] (closed_form) 1.3088480520141086 y1[1] (numeric) 1.30884805201492 absolute error 8.113509863960644e-13 relative error 6.198970041996277e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9511113924073722 y2[1] (numeric) 1.951111392407106 absolute error 2.6623148130511254e-13 relative error 1.3645119511942562e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.550000000000856 y1[1] (closed_form) 1.2993216543338901 y1[1] (numeric) 1.2993216543347073 absolute error 8.171241461241152e-13 relative error 6.288851905135236e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9541522662797712 y2[1] (numeric) 1.9541522662795117 absolute error 2.595701431573616e-13 relative error 1.328300499589624e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.560000000000859 y1[1] (closed_form) 1.289765324737672 y1[1] (numeric) 1.2897653247384948 absolute error 8.22897305852166e-13 relative error 6.380209562693406e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.957097725720666 y2[1] (numeric) 1.9570977257204138 absolute error 2.5224267119483557e-13 relative error 1.288860887628653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.570000000000863 y1[1] (closed_form) 1.2801800188504504 y1[1] (numeric) 1.280180018851279 absolute error 8.286704655802168e-13 relative error 6.473077640473792e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9599474761865678 y2[1] (numeric) 1.9599474761863225 absolute error 2.453592884421596e-13 relative error 1.2518666516490046e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.580000000000866 y1[1] (closed_form) 1.2705666951948265 y1[1] (numeric) 1.2705666951956605 absolute error 8.339995360984176e-13 relative error 6.563996516298844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9627012327048043 y2[1] (numeric) 1.962701232704566 absolute error 2.382538610845586e-13 relative error 1.213907940314585e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.590000000000869 y1[1] (closed_form) 1.2609263150951544 y1[1] (numeric) 1.260926315095994 absolute error 8.395506512215434e-13 relative error 6.658205488860684e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9653587199020186 y2[1] (numeric) 1.9653587199017881 absolute error 2.304822999121825e-13 relative error 1.1727238268425269e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.600000000000873 y1[1] (closed_form) 1.2512598425814105 y1[1] (numeric) 1.2512598425822559 absolute error 8.453238109495942e-13 relative error 6.755781510622522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9679196720317056 y2[1] (numeric) 1.967919672031483 absolute error 2.2248869413488137e-13 relative error 1.130578129264703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.610000000000876 y1[1] (closed_form) 1.2415682442927913 y1[1] (numeric) 1.2415682442936418 absolute error 8.504308368628699e-13 relative error 6.849650357699694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9703838330007866 y2[1] (numeric) 1.9703838330005718 absolute error 2.1471713296250527e-13 relative error 1.089722364578595e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.620000000000879 y1[1] (closed_form) 1.2318524893810487 y1[1] (numeric) 1.2318524893819047 absolute error 8.559819519859957e-13 relative error 6.948737445147257e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9727509563952177 y2[1] (numeric) 1.9727509563950107 absolute error 2.0694557179012918e-13 relative error 1.0490202583314326e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.630000000000883 y1[1] (closed_form) 1.222113549413578 y1[1] (numeric) 1.222113549414439 absolute error 8.610889778992714e-13 relative error 7.045899935504835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9750208055046323 y2[1] (numeric) 1.9750208055044332 absolute error 1.9917401061775308e-13 relative error 1.0084653795171674e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 7.640000000000886 y1[1] (closed_form) 1.2123523982762598 y1[1] (numeric) 1.212352398277126 absolute error 8.661960038125471e-13 relative error 7.144754322622013e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9771931533460112 y2[1] (numeric) 1.9771931533458198 absolute error 1.91402449445377e-13 relative error 9.680513465336754e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.650000000000889 y1[1] (closed_form) 1.2025700120760736 y1[1] (numeric) 1.2025700120769451 absolute error 8.715250743307479e-13 relative error 7.247187819245371e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9792677826863803 y2[1] (numeric) 1.9792677826861969 absolute error 1.8340884366807586e-13 relative error 9.266499726436332e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.660000000000893 y1[1] (closed_form) 1.1927673690434877 y1[1] (numeric) 1.1927673690443643 absolute error 8.766321002440236e-13 relative error 7.349564743266061e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9812444860645342 y2[1] (numeric) 1.981244486064359 absolute error 1.751931932858497e-13 relative error 8.842583261081854e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.670000000000896 y1[1] (closed_form) 1.1829454494346363 y1[1] (numeric) 1.182945449435518 absolute error 8.817391261572993e-13 relative error 7.453759821120305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9831230658117827 y2[1] (numeric) 1.983123065811616 absolute error 1.667554982986985e-13 relative error 8.408731720864629e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.680000000000899 y1[1] (closed_form) 1.1731052354332956 y1[1] (numeric) 1.173105235434182 absolute error 8.86402062860725e-13 relative error 7.556031940589929e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9849033340717166 y2[1] (numeric) 1.984903334071558 absolute error 1.5853984791647235e-13 relative error 7.98728306789897e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.690000000000903 y1[1] (closed_form) 1.1632477110526653 y1[1] (numeric) 1.1632477110535562 absolute error 8.908429549592256e-13 relative error 7.658239483257348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.986585112818993 y2[1] (numeric) 1.9865851128188428 absolute error 1.503241975342462e-13 relative error 7.56696486670707e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.700000000000906 y1[1] (closed_form) 1.1533738620369691 y1[1] (numeric) 1.1533738620378646 absolute error 8.955058916626513e-13 relative error 7.764229111981971e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9881682338771394 y2[1] (numeric) 1.9881682338769975 absolute error 1.41886502547095e-13 relative error 7.13654408763997e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7100000000009095 y1[1] (closed_form) 1.1434846757628803 y1[1] (numeric) 1.1434846757637804 absolute error 9.001688283660769e-13 relative error 7.872154716594919e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9896525389353685 y2[1] (numeric) 1.989652538935235 absolute error 1.3344880755994382e-13 relative error 6.7071413198281425e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.720000000000913 y1[1] (closed_form) 1.1335811411407855 y1[1] (numeric) 1.13358114114169 absolute error 9.046097204645775e-13 relative error 7.980105593096042e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.991037879564412 y2[1] (numeric) 1.9910378795642867 absolute error 1.2523315717771766e-13 relative error 6.289843024237965e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.730000000000916 y1[1] (closed_form) 1.1236642485158936 y1[1] (numeric) 1.123664248516803 absolute error 9.092726571680032e-13 relative error 8.092031568762171e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9923241172313606 y2[1] (numeric) 1.992324117231244 absolute error 1.1657341758564144e-13 relative error 5.8511271623634234e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7400000000009195 y1[1] (closed_form) 1.1137349895692035 y1[1] (numeric) 1.1137349895701172 absolute error 9.137135492665038e-13 relative error 8.20404816068436e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9935111233135205 y2[1] (numeric) 1.9935111233134126 absolute error 1.0791367799356522e-13 relative error 5.413246845304588e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.750000000000923 y1[1] (closed_form) 1.103794357218335 y1[1] (numeric) 1.1037943572192532 absolute error 9.181544413650045e-13 relative error 8.318165746732384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9945987791112718 y2[1] (numeric) 1.9945987791111732 absolute error 9.85878045867139e-14 relative error 4.9427386409331615e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.760000000000926 y1[1] (closed_form) 1.0938433455182401 y1[1] (numeric) 1.0938433455191625 absolute error 9.2237328885858e-13 relative error 8.432407553035658e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9955869758599416 y2[1] (numeric) 1.9955869758598521 absolute error 8.948397578478762e-14 relative error 4.484092994555e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.7700000000009295 y1[1] (closed_form) 1.0838829495617956 y1[1] (numeric) 1.0838829495627225 absolute error 9.268141809570807e-13 relative error 8.550869642628694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9964756147406786 y2[1] (numeric) 1.9964756147405982 absolute error 8.038014698286133e-14 relative error 4.026102116619235e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.780000000000933 y1[1] (closed_form) 1.0739141653802973 y1[1] (numeric) 1.073914165381228 absolute error 9.308109838457312e-13 relative error 8.667461645001303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9972646068903348 y2[1] (numeric) 1.9972646068902637 absolute error 7.105427357601002e-14 relative error 3.5575793678454466e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.790000000000936 y1[1] (closed_form) 1.063937989843856 y1[1] (numeric) 1.0639379898447905 absolute error 9.345857421294568e-13 relative error 8.78421252977927e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.997953873410353 y2[1] (numeric) 1.9979538734102913 absolute error 6.17284001691587e-14 relative error 3.0895808452170663e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8000000000009395 y1[1] (closed_form) 1.0539554205617114 y1[1] (numeric) 1.0539554205626502 absolute error 9.388045896230324e-13 relative error 8.907441162195373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9985433453746557 y2[1] (numeric) 1.9985433453746027 absolute error 5.306866057708248e-14 relative error 2.655367005169157e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.810000000000943 y1[1] (closed_form) 1.0439674557824736 y1[1] (numeric) 1.0439674557834162 absolute error 9.42579347906758e-13 relative error 9.028819267170322e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9990329638365374 y2[1] (numeric) 1.9990329638364936 absolute error 4.374278717023117e-14 relative error 2.188197391516754e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.820000000000946 y1[1] (closed_form) 1.033975094294297 y1[1] (numeric) 1.0339750942952433 absolute error 9.463541061904834e-13 relative error 9.152581250870302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9994226798345602 y2[1] (numeric) 1.9994226798345256 absolute error 3.4638958368304884e-14 relative error 1.7324480070002528e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8300000000009495 y1[1] (closed_form) 1.0239793353250033 y1[1] (numeric) 1.0239793353259536 absolute error 9.50350909079134e-13 relative error 9.280957889423617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9997124543974487 y2[1] (numeric) 1.9997124543974236 absolute error 2.5091040356528538e-14 relative error 1.2547324142204707e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.840000000000953 y1[1] (closed_form) 1.01398117844216 y1[1] (numeric) 1.0139811784431139 absolute error 9.539036227579345e-13 relative error 9.407508177059793e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9999022585479884 y2[1] (numeric) 1.999902258547973 absolute error 1.532107773982716e-14 relative error 7.660913264306674e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 7.850000000000956 y1[1] (closed_form) 1.0039816234531231 y1[1] (numeric) 1.0039816234540806 absolute error 9.57456336436735e-13 relative error 9.5365922450217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9999920733059224 y2[1] (numeric) 1.9999920733059164 absolute error 5.995204332975845e-15 relative error 2.9976140470726795e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 7.8600000000009596 y1[1] (closed_form) 0.9939816703050592 y1[1] (numeric) 0.9939816703060201 absolute error 9.60898027813073e-13 relative error 9.667160436853602e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9999818896898498 y2[1] (numeric) 1.9999818896898534 absolute error 3.552713678800501e-15 relative error 1.776372924732555e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 7.870000000000963 y1[1] (closed_form) 0.9839823189849495 y1[1] (numeric) 0.9839823189859135 absolute error 9.640066522820234e-13 relative error 9.796991609325537e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.9998717087181235 y2[1] (numeric) 1.9998717087181368 absolute error 1.3322676295501878e-14 relative error 6.661765470966854e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 7.880000000000966 y1[1] (closed_form) 0.9739845694195932 y1[1] (numeric) 0.9739845694205603 absolute error 9.671152767509739e-13 relative error 9.929472263891071e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 y2[1] (closed_form) 1.999661541408749 y2[1] (numeric) 1.9996615414087722 absolute error 2.3092638912203256e-14 relative error 1.1548273762336118e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.89000000000097 y1[1] (closed_form) 0.9639894213756155 y1[1] (numeric) 0.9639894213765858 absolute error 9.703349235223868e-13 relative error 1.0065825433413121e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9993514087782822 y2[1] (numeric) 1.9993514087783149 absolute error 3.26405569239796e-14 relative error 1.6325572773585033e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.900000000000973 y1[1] (closed_form) 0.9539978743594916 y1[1] (numeric) 0.9539978743604649 absolute error 9.733325256888747e-13 relative error 1.0202669752722084e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9989413418397273 y2[1] (numeric) 1.99894134183977 absolute error 4.263256414560601e-14 relative error 2.1327571376541293e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.910000000000976 y1[1] (closed_form) 0.9440109275175966 y1[1] (numeric) 0.9440109275185729 absolute error 9.762191055529001e-13 relative error 1.0341184377176642e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9984313815994368 y2[1] (numeric) 1.9984313815994892 absolute error 5.240252676230739e-14 relative error 2.622182940320284e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.92000000000098 y1[1] (closed_form) 0.9340295795362926 y1[1] (numeric) 0.9340295795372716 absolute error 9.78994663114463e-13 relative error 1.0481409631593185e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9978215790530096 y2[1] (numeric) 1.9978215790530727 absolute error 6.306066779870889e-14 relative error 3.1564714516999246e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.930000000000983 y1[1] (closed_form) 0.9240548285420598 y1[1] (numeric) 0.9240548285430413 absolute error 9.815481760711009e-13 relative error 1.0622185456459894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9971119951801923 y2[1] (numeric) 1.9971119951802652 absolute error 7.283063041541027e-14 relative error 3.646797505156391e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.940000000000986 y1[1] (closed_form) 0.9140876720016853 y1[1] (numeric) 0.9140876720026696 absolute error 9.843237336326638e-13 relative error 1.0768373360480558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9963027009387808 y2[1] (numeric) 1.9963027009388639 absolute error 8.304468224196171e-14 relative error 4.1599243543030396e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.95000000000099 y1[1] (closed_form) 0.9041291066225173 y1[1] (numeric) 0.9041291066235042 absolute error 9.868772465893016e-13 relative error 1.0915224820887582e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.995393777257525 y2[1] (numeric) 1.9953937772576178 absolute error 9.281464485866309e-14 relative error 4.65144503889492e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.960000000000993 y1[1] (closed_form) 0.8941801282527949 y1[1] (numeric) 0.8941801282537842 absolute error 9.89319737243477e-13 relative error 1.1063987064626256e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9943853150280353 y2[1] (numeric) 1.9943853150281383 absolute error 1.0302869668521453e-13 relative error 5.165937389774967e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.970000000000996 y1[1] (closed_form) 0.8842417317820643 y1[1] (numeric) 0.884241731783056 absolute error 9.916512055951898e-13 relative error 1.1214707132139724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9932774150956944 y2[1] (numeric) 1.9932774150958077 absolute error 1.1324274851176597e-13 relative error 5.6812337135887e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.980000000001 y1[1] (closed_form) 0.8743149110416907 y1[1] (numeric) 0.8743149110426844 absolute error 9.937606293419776e-13 relative error 1.1366163573236729e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9920701882495724 y2[1] (numeric) 1.9920701882496956 absolute error 1.2323475573339238e-13 relative error 6.1862657480798145e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 7.990000000001003 y1[1] (closed_form) 0.8644006587054756 y1[1] (numeric) 0.8644006587064714 absolute error 9.958700530887654e-13 relative error 1.1520931214700577e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9907637552113475 y2[1] (numeric) 1.990763755211481 absolute error 1.3344880755994382e-13 relative error 6.703397488054847e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.000000000001005 y1[1] (closed_form) 0.8544999661903918 y1[1] (numeric) 0.8544999661913886 absolute error 9.967582315084655e-13 relative error 1.166481300113214e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9893582466232353 y2[1] (numeric) 1.9893582466233792 absolute error 1.438849039914203e-13 relative error 7.232729662224114e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.010000000001 y1[1] (closed_form) 0.8446138235574472 y1[1] (numeric) 0.8446138235584371 absolute error 9.898748487557896e-13 relative error 1.1719851382333697e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9878538030349246 y2[1] (numeric) 1.9878538030350774 absolute error 1.5276668818842154e-13 relative error 7.685006208967047e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.020000000000994 y1[1] (closed_form) 0.8347432194126588 y1[1] (numeric) 0.8347432194136416 absolute error 9.827694213981886e-13 relative error 1.1773314218589086e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9862505748895192 y2[1] (numeric) 1.986250574889681 absolute error 1.6187051699034782e-13 relative error 8.149551674735274e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.030000000000989 y1[1] (closed_form) 0.8248891408082156 y1[1] (numeric) 0.8248891408091914 absolute error 9.7577501634305e-13 relative error 1.1829165497159999e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9845487225084977 y2[1] (numeric) 1.9845487225086682 absolute error 1.7053025658242404e-13 relative error 8.592898458389643e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.040000000000983 y1[1] (closed_form) 0.8150525731437663 y1[1] (numeric) 0.815052573144735 absolute error 9.68669588985449e-13 relative error 1.1884749780608157e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.98274841607568 y2[1] (numeric) 1.982748416075859 absolute error 1.7896795156957523e-13 relative error 9.026256186541024e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.050000000000978 y1[1] (closed_form) 0.8052345000678803 y1[1] (numeric) 0.8052345000688418 absolute error 9.614531393253856e-13 relative error 1.1940039072398614e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.980849835620209 y2[1] (numeric) 1.9808498356203967 absolute error 1.8762769116165146e-13 relative error 9.47208050745072e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.060000000000972 y1[1] (closed_form) 0.7954359033796835 y1[1] (numeric) 0.7954359033806375 absolute error 9.54014645060397e-13 relative error 1.199360804568837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9788531709985486 y2[1] (numeric) 1.9788531709987442 absolute error 1.9562129693895258e-13 relative error 9.885589279988881e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 8.070000000000967 y1[1] (closed_form) 0.7856577629306791 y1[1] (numeric) 0.7856577629316257 absolute error 9.465761507954085e-13 relative error 1.2048199552747597e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9767586218754964 y2[1] (numeric) 1.9767586218757007 absolute error 2.042810365310288e-13 relative error 1.0334141673666375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.080000000000961 y1[1] (closed_form) 0.7759010565267638 y1[1] (numeric) 0.7759010565277029 absolute error 9.3913765653042e-13 relative error 1.2103832681120024e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9745663977042196 y2[1] (numeric) 1.9745663977044328 absolute error 2.1316282072803006e-13 relative error 1.0795424300538554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.090000000000956 y1[1] (closed_form) 0.7661667598304471 y1[1] (numeric) 0.7661667598313788 absolute error 9.316991622654314e-13 relative error 1.2160527069480496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9722767177053084 y2[1] (numeric) 1.9722767177055298 absolute error 2.2137847111025621e-13 relative error 1.1224513736988396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.10000000000095 y1[1] (closed_form) 0.7564558462632871 y1[1] (numeric) 0.7564558462642113 absolute error 9.241496456979803e-13 relative error 1.2216835262270243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.969889810844855 y2[1] (numeric) 1.9698898108450842 absolute error 2.291500322826323e-13 relative error 1.1632631988910762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.110000000000944 y1[1] (closed_form) 0.746769286908548 y1[1] (numeric) 0.7467692869094642 absolute error 9.161560399206792e-13 relative error 1.2268260840149883e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9674059158115558 y2[1] (numeric) 1.9674059158117927 absolute error 2.369215934550084e-13 relative error 1.2042334098465804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.120000000000939 y1[1] (closed_form) 0.737108050414093 y1[1] (numeric) 0.7371080504150016 absolute error 9.086065233532281e-13 relative error 1.2326639531921957e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9648252809928444 y2[1] (numeric) 1.964825280993089 absolute error 2.446931546273845e-13 relative error 1.2453685169591202e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.130000000000933 y1[1] (closed_form) 0.7274731028955208 y1[1] (numeric) 0.7274731028964215 absolute error 9.007239398783895e-13 relative error 1.238154285420709e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9621481644500522 y2[1] (numeric) 1.9621481644503043 absolute error 2.5202062658991053e-13 relative error 1.2844118051632787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.140000000000928 y1[1] (closed_form) 0.7178654078395539 y1[1] (numeric) 0.7178654078404466 absolute error 8.927303341010884e-13 relative error 1.2435901275530156e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9593748338926025 y2[1] (numeric) 1.9593748338928618 absolute error 2.5934809855243657e-13 relative error 1.3236267714901762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.150000000000922 y1[1] (closed_form) 0.7082859260076917 y1[1] (numeric) 0.7082859260085762 absolute error 8.845146837188622e-13 relative error 1.248810192663996e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.95650556665124 y2[1] (numeric) 1.9565055666515065 absolute error 2.6645352591003757e-13 relative error 1.361884834123422e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.160000000000917 y1[1] (closed_form) 0.6987356153401344 y1[1] (numeric) 0.698735615341011 absolute error 8.766321002440236e-13 relative error 1.2545977061972029e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.953540649650298 y2[1] (numeric) 1.9535406496505716 absolute error 2.7355895326763857e-13 relative error 1.4003238341449827e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.170000000000911 y1[1] (closed_form) 0.6892154308599903 y1[1] (numeric) 0.6892154308608588 absolute error 8.6852747216426e-13 relative error 1.2601683498010593e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9504803793790058 y2[1] (numeric) 1.950480379379286 absolute error 2.802202914153895e-13 relative error 1.436673213316845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.180000000000906 y1[1] (closed_form) 0.6797263245777738 y1[1] (numeric) 0.6797263245786342 absolute error 8.604228440844963e-13 relative error 1.265837165595971e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9473250618618398 y2[1] (numeric) 1.947325061862127 absolute error 2.871036741680655e-13 relative error 1.4743489918091297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.1900000000009 y1[1] (closed_form) 0.6702692453962057 y1[1] (numeric) 0.670269245397058 absolute error 8.523182160047327e-13 relative error 1.2716057343507014e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9440750126279227 y2[1] (numeric) 1.9440750126282167 absolute error 2.9398705692074145e-13 relative error 1.512220747713544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.200000000000895 y1[1] (closed_form) 0.6608451390153232 y1[1] (numeric) 0.6608451390161674 absolute error 8.44213587924969e-13 relative error 1.2774756718084812e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9407305566794695 y2[1] (numeric) 1.9407305566797701 absolute error 3.006483950684924e-13 relative error 1.5491506228607673e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.210000000000889 y1[1] (closed_form) 0.651454947837911 y1[1] (numeric) 0.651454947838747 absolute error 8.359979375427429e-13 relative error 1.2832782072149494e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.937292028459288 y2[1] (numeric) 1.9372920284595954 absolute error 3.0730973321624333e-13 relative error 1.5862850241563433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.220000000000883 y1[1] (closed_form) 0.6420996108752619 y1[1] (numeric) 0.6420996108760897 absolute error 8.277822871605167e-13 relative error 1.2891804840562762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9337597718173347 y2[1] (numeric) 1.9337597718176487 absolute error 3.1397107136399427e-13 relative error 1.6236301734052846e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.230000000000878 y1[1] (closed_form) 0.6327800636532758 y1[1] (numeric) 0.6327800636540954 absolute error 8.196776590807531e-13 relative error 1.2953594877001143e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9301341399763303 y2[1] (numeric) 1.9301341399766503 absolute error 3.199662756969701e-13 relative error 1.657741133478391e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.240000000000872 y1[1] (closed_form) 0.6234972381189087 y1[1] (numeric) 0.62349723811972 absolute error 8.113509863960644e-13 relative error 1.3012904256703856e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9264154954964376 y2[1] (numeric) 1.9264154954967636 absolute error 3.2596148002994596e-13 relative error 1.6920621786524076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.250000000000867 y1[1] (closed_form) 0.6142520625469784 y1[1] (numeric) 0.6142520625477813 absolute error 8.029132914089132e-13 relative error 1.307139756404979e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.922604210239006 y2[1] (numeric) 1.9226042102393377 absolute error 3.3173463975799677e-13 relative error 1.7254442593608887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.260000000000861 y1[1] (closed_form) 0.6050454614473378 y1[1] (numeric) 0.6050454614481324 absolute error 7.945866187242245e-13 relative error 1.313267629218278e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9187006653293843 y2[1] (numeric) 1.918700665329722 absolute error 3.377298440909726e-13 relative error 1.7602007973088097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.270000000000856 y1[1] (closed_form) 0.5958783554724248 y1[1] (numeric) 0.5958783554732109 absolute error 7.860379014346108e-13 relative error 1.31912477473934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9147052511188116 y2[1] (numeric) 1.9147052511191551 absolute error 3.4350300381902343e-13 relative error 1.794025496186976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.28000000000085 y1[1] (closed_form) 0.5867516613251976 y1[1] (numeric) 0.5867516613259751 absolute error 7.774891841449971e-13 relative error 1.3250736817498098e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.910618367145379 y2[1] (numeric) 1.910618367145728 absolute error 3.490541189421492e-13 relative error 1.8269170073124796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.290000000000845 y1[1] (closed_form) 0.5776662916674654 y1[1] (numeric) 0.5776662916682345 absolute error 7.690514891578459e-13 relative error 1.3313075390602015e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9064404220940776 y2[1] (numeric) 1.9064404220944327 absolute error 3.5504932327512506e-13 relative error 1.8623677884731945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.30000000000084 y1[1] (closed_form) 0.5686231550286227 y1[1] (numeric) 0.5686231550293831 absolute error 7.603917495657697e-13 relative error 1.337250765891681e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.9021718337559317 y2[1] (numeric) 1.9021718337562918 absolute error 3.601563491884008e-13 relative error 1.8933954482821586e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.310000000000834 y1[1] (closed_form) 0.5596231557147977 y1[1] (numeric) 0.5596231557155493 absolute error 7.51620987671231e-13 relative error 1.3430841450997458e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8978130289862176 y2[1] (numeric) 1.8978130289865827 absolute error 3.6504133049675147e-13 relative error 1.9234841626719725e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.320000000000828 y1[1] (closed_form) 0.5506671937184217 y1[1] (numeric) 0.5506671937191646 absolute error 7.429612480791548e-13 relative error 1.3492019436681038e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8933644436617798 y2[1] (numeric) 1.89336444366215 absolute error 3.701483564100272e-13 relative error 1.9549768014770455e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.330000000000823 y1[1] (closed_form) 0.541756164628231 y1[1] (numeric) 0.5417561646289654 absolute error 7.344125307895411e-13 relative error 1.3556145342499547e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8888265226374443 y2[1] (numeric) 1.8888265226378191 absolute error 3.7481129311345285e-13 relative error 1.9843605996705763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.340000000000817 y1[1] (closed_form) 0.5328909595397089 y1[1] (numeric) 0.5328909595404344 absolute error 7.255307465925398e-13 relative error 1.361499446752157e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.884199719701531 y2[1] (numeric) 1.884199719701911 absolute error 3.7991831902672857e-13 relative error 2.0163378385753607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.350000000000811 y1[1] (closed_form) 0.5240724649659765 y1[1] (numeric) 0.5240724649666932 absolute error 7.167599846980011e-13 relative error 1.3676734280335338e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8794844975304785 y2[1] (numeric) 1.8794844975308629 absolute error 3.843592111252292e-13 relative error 2.045024641758165e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.360000000000806 y1[1] (closed_form) 0.5153015627491424 y1[1] (numeric) 0.5153015627498504 absolute error 7.079892228034623e-13 relative error 1.3739318371679839e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8746813276425742 y2[1] (numeric) 1.8746813276429632 absolute error 3.8902214782865485e-13 relative error 2.075137475860247e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.3700000000008 y1[1] (closed_form) 0.5065791299721194 y1[1] (numeric) 0.5065791299728185 absolute error 6.991074386064611e-13 relative error 1.380055744982897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8697906903508046 y2[1] (numeric) 1.869790690351198 absolute error 3.934630399271555e-13 relative error 2.104315964121819e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.380000000000795 y1[1] (closed_form) 0.49790603887091633 y1[1] (numeric) 0.49790603887160667 absolute error 6.903366767119223e-13 relative error 1.3864798231356545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.864813074714823 y2[1] (numeric) 1.8648130747152207 absolute error 3.9768188742073107e-13 relative error 2.132556301824228e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.39000000000079 y1[1] (closed_form) 0.48928315674741607 y1[1] (numeric) 0.4892831567480976 absolute error 6.815104036661523e-13 relative error 1.392875258973957e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8597489784920453 y2[1] (numeric) 1.8597489784924468 absolute error 4.014566457044566e-13 relative error 2.1586603909844478e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.400000000000784 y1[1] (closed_form) 0.48071134588264497 y1[1] (numeric) 0.48071134588331765 absolute error 6.726841306203823e-13 relative error 1.3993514743972847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8545989080878735 y2[1] (numeric) 1.8545989080882792 absolute error 4.056754931980322e-13 relative error 2.187402847208032e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.410000000000778 y1[1] (closed_form) 0.4721914634505464 y1[1] (numeric) 0.4721914634512104 absolute error 6.639688798770749e-13 relative error 1.4061433364870937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8493633785050565 y2[1] (numeric) 1.849363378505466 absolute error 4.0945025148175773e-13 relative error 2.214006485911596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.420000000000773 y1[1] (closed_form) 0.4637243614322638 y1[1] (numeric) 0.463724361432919 absolute error 6.551981179825361e-13 relative error 1.4129042432855683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8440429132921896 y2[1] (numeric) 1.8440429132926024 absolute error 4.127809205556332e-13 relative error 2.238456152946522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.430000000000767 y1[1] (closed_form) 0.455310886530943 y1[1] (numeric) 0.4553108865315894 absolute error 6.464273560879974e-13 relative error 1.4197493958758355e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8386380444913604 y2[1] (numeric) 1.8386380444917763 absolute error 4.1588954502458364e-13 relative error 2.2619435416916712e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.440000000000762 y1[1] (closed_form) 0.446951880087063 y1[1] (numeric) 0.44695188008770054 absolute error 6.375455718909961e-13 relative error 1.4264300035314919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8331493125849445 y2[1] (numeric) 1.833149312585364 absolute error 4.1944225870338414e-13 relative error 2.288096533238331e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.450000000000756 y1[1] (closed_form) 0.43864817799430234 y1[1] (numeric) 0.43864817799493105 absolute error 6.287192988452261e-13 relative error 1.4333110916361601e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8275772664415593 y2[1] (numeric) 1.8275772664419818 absolute error 4.225508831723346e-13 relative error 2.3120821807718987e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.46000000000075 y1[1] (closed_form) 0.4304006106159505 y1[1] (numeric) 0.4304006106165705 absolute error 6.200040481019187e-13 relative error 1.4405278078361108e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8219224632611752 y2[1] (numeric) 1.8219224632616007 absolute error 4.2543746303636e-13 relative error 2.3351019135844142e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.470000000000745 y1[1] (closed_form) 0.4222100027018725 y1[1] (numeric) 0.4222100027024836 absolute error 6.111222639049174e-13 relative error 1.4474367257860496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8161854685193983 y2[1] (numeric) 1.8161854685198267 absolute error 4.283240429003854e-13 relative error 2.3583717099639955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.48000000000074 y1[1] (closed_form) 0.4140771733060341 y1[1] (numeric) 0.4140771733066364 absolute error 6.022959908591474e-13 relative error 1.4545500928011925e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.8103668559109218 y2[1] (numeric) 1.810366855911353 absolute error 4.312106227644108e-13 relative error 2.3818963618146812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.490000000000734 y1[1] (closed_form) 0.40600293570459767 y1[1] (numeric) 0.40600293570519125 absolute error 5.935807401158399e-13 relative error 1.462010955870825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.804467207292158 y2[1] (numeric) 1.8044672072925916 absolute error 4.3365311341858614e-13 relative error 2.4032196964628696e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.500000000000728 y1[1] (closed_form) 0.39798809731459484 y1[1] (numeric) 0.39798809731517965 absolute error 5.848099782213012e-13 relative error 1.4694157492831515e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.798487112623052 y2[1] (numeric) 1.7984871126234883 absolute error 4.363176486776865e-13 relative error 2.426025994933749e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.510000000000723 y1[1] (closed_form) 0.3900334596131856 y1[1] (numeric) 0.3900334596137616 absolute error 5.760392163267625e-13 relative error 1.476896922889763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7924271699080871 y2[1] (numeric) 1.7924271699085261 absolute error 4.389821839367869e-13 relative error 2.449093560433461e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.520000000000717 y1[1] (closed_form) 0.3821398180575112 y1[1] (numeric) 0.38213981805807845 absolute error 5.672684544322237e-13 relative error 1.4844526208123413e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.786287985136486 y2[1] (numeric) 1.7862879851369267 absolute error 4.4075854077618715e-13 relative error 2.4674551049085732e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.530000000000712 y1[1] (closed_form) 0.37430796200514915 y1[1] (numeric) 0.37430796200570765 absolute error 5.58497692537685e-13 relative error 1.4920807175616586e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7800701722216086 y2[1] (numeric) 1.7800701722220518 absolute error 4.432010314303625e-13 relative error 2.4897952808075393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.540000000000706 y1[1] (closed_form) 0.3665386746351782 y1[1] (numeric) 0.36653867463572803 absolute error 5.498379529456088e-13 relative error 1.5000816857671876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7737743529395655 y2[1] (numeric) 1.773774352940011 absolute error 4.454214774796128e-13 relative error 2.5111507376428327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.5500000000007 y1[1] (closed_form) 0.35883273286986106 y1[1] (numeric) 0.3588327328704021 absolute error 5.4106719105107e-13 relative error 1.507853496875104e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7674011568670385 y2[1] (numeric) 1.7674011568674857 absolute error 4.4719783431901305e-13 relative error 2.5302565440872106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.560000000000695 y1[1] (closed_form) 0.35119090729695257 y1[1] (numeric) 0.35119090729748487 absolute error 5.322964291565313e-13 relative error 1.515689666493681e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7609512213183236 y2[1] (numeric) 1.7609512213187726 absolute error 4.489741911584133e-13 relative error 2.5496117423530445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.57000000000069 y1[1] (closed_form) 0.34361396209264194 y1[1] (numeric) 0.3436139620931654 absolute error 5.234701561107613e-13 relative error 1.52342516271102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7544251912816011 y2[1] (numeric) 1.7544251912820514 absolute error 4.503064587879635e-13 relative error 2.5666894264041904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.580000000000684 y1[1] (closed_form) 0.33610265494513536 y1[1] (numeric) 0.33610265494565017 absolute error 5.148104165186851e-13 relative error 1.5317058908764692e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.747823719354436 y2[1] (numeric) 1.7478237193548878 absolute error 4.518607710224387e-13 relative error 2.5852765700498383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.590000000000678 y1[1] (closed_form) 0.3286577369788882 y1[1] (numeric) 0.3286577369793945 absolute error 5.062616992290714e-13 relative error 1.540391849231262e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7411474656785195 y2[1] (numeric) 1.741147465678973 absolute error 4.5341508325691393e-13 relative error 2.604116493258769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.600000000000673 y1[1] (closed_form) 0.32127995267949316 y1[1] (numeric) 0.32127995267999077 absolute error 4.976019596369952e-13 relative error 1.548811108464647e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7343970978736565 y2[1] (numeric) 1.7343970978741112 absolute error 4.547473508864641e-13 relative error 2.621933301456611e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.610000000000667 y1[1] (closed_form) 0.3139700398192319 y1[1] (numeric) 0.3139700398197209 absolute error 4.889977311961502e-13 relative error 1.55746622027277e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7275732909710015 y2[1] (numeric) 1.7275732909714574 absolute error 4.558575739110893e-13 relative error 2.6387162634059335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.620000000000662 y1[1] (closed_form) 0.30672872938329887 y1[1] (numeric) 0.3067287293837793 absolute error 4.804490139065365e-13 relative error 1.5663645686940225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7206767273455585 y2[1] (numeric) 1.7206767273460157 absolute error 4.571898415406395e-13 relative error 2.657035073903358e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.630000000000656 y1[1] (closed_form) 0.2995567454967033 y1[1] (numeric) 0.2995567454971753 absolute error 4.720113189193853e-13 relative error 1.5756991822592088e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.7137080966479434 y2[1] (numeric) 1.7137080966484013 absolute error 4.578559753554146e-13 relative error 2.6717267441928556e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.64000000000065 y1[1] (closed_form) 0.2924548053518573 y1[1] (numeric) 0.29245480535232077 absolute error 4.634626016297716e-13 relative error 1.584732386503863e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.706668095735418 y2[1] (numeric) 1.7066680957358766 absolute error 4.587441537751147e-13 relative error 2.68795177528316e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.650000000000645 y1[1] (closed_form) 0.285423619136857 y1[1] (numeric) 0.28542361913731196 absolute error 4.549693954913892e-13 relative error 1.5940145278349831e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6995574286022073 y2[1] (numeric) 1.6995574286026665 absolute error 4.591882429849647e-13 relative error 2.7018106905785576e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.66000000000064 y1[1] (closed_form) 0.2784638899644645 y1[1] (numeric) 0.278463889964911 absolute error 4.4653170050423796e-13 relative error 1.6035533388592002e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.692376806309099 y2[1] (numeric) 1.6923768063095586 absolute error 4.596323321948148e-13 relative error 2.715898318160162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.670000000000634 y1[1] (closed_form) 0.2715763138017975 y1[1] (numeric) 0.27157631380223557 absolute error 4.3809400551708677e-13 relative error 1.6131524851494143e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6851269469123387 y2[1] (numeric) 1.6851269469127983 absolute error 4.596323321948148e-13 relative error 2.727582827139522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.680000000000629 y1[1] (closed_form) 0.2647615794007324 y1[1] (numeric) 0.26476157940116213 absolute error 4.2971182168116684e-13 relative error 1.6230142706271306e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6778085753918244 y2[1] (numeric) 1.6778085753922845 absolute error 4.600764214046649e-13 relative error 2.742127011105672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.690000000000623 y1[1] (closed_form) 0.2580203682290306 y1[1] (numeric) 0.258020368229452 absolute error 4.2138514899647816e-13 relative error 1.63314683987443e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6704224235786096 y2[1] (numeric) 1.6704224235790701 absolute error 4.605205106145149e-13 relative error 2.7569104923048404e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.700000000000617 y1[1] (closed_form) 0.25135335440219153 y1[1] (numeric) 0.25135335440260465 absolute error 4.1311398746302075e-13 relative error 1.6435586803508314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6629692300817205 y2[1] (numeric) 1.6629692300821808 absolute error 4.602984660095899e-13 relative error 2.7679313464324908e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.710000000000612 y1[1] (closed_form) 0.2447612046160419 y1[1] (numeric) 0.24476120461644685 absolute error 4.0495384823202585e-13 relative error 1.6544854355790533e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.655449740214296 y2[1] (numeric) 1.6554497402147559 absolute error 4.598543767997398e-13 relative error 2.777821432018904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.720000000000606 y1[1] (closed_form) 0.23824457808006716 y1[1] (numeric) 0.23824457808046384 absolute error 3.9668268669856843e-13 relative error 1.665022935234458e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.647864705919056 y2[1] (numeric) 1.6478647059195162 absolute error 4.600764214046649e-13 relative error 2.7919550661658752e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.7300000000006 y1[1] (closed_form) 0.23180412645149018 y1[1] (numeric) 0.23180412645187873 absolute error 3.8855030304318916e-13 relative error 1.6762009761914284e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.64021488569311 y2[1] (numeric) 1.6402148856935699 absolute error 4.598543767997398e-13 relative error 2.803622749743659e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.740000000000595 y1[1] (closed_form) 0.2254404937701069 y1[1] (numeric) 0.2254404937704873 absolute error 3.804179193878099e-13 relative error 1.6874427172597545e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6325010445121053 y2[1] (numeric) 1.6325010445125647 absolute error 4.594102875898898e-13 relative error 2.8141500376631653e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.75000000000059 y1[1] (closed_form) 0.2191543163938825 y1[1] (numeric) 0.21915431639425478 absolute error 3.722855357324306e-13 relative error 1.6987369532951742e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.624723953753732 y2[1] (numeric) 1.6247239537541907 absolute error 4.587441537751147e-13 relative error 2.8235205907763025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.760000000000584 y1[1] (closed_form) 0.21294622293531595 y1[1] (numeric) 0.21294622293568022 absolute error 3.6426417437951386e-13 relative error 1.710592324007371e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6168843911205848 y2[1] (numeric) 1.6168843911210429 absolute error 4.580780199603396e-13 relative error 2.833090742145564e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.770000000000579 y1[1] (closed_form) 0.20681683419857988 y1[1] (numeric) 0.20681683419893612 absolute error 3.562428130265971e-13 relative error 1.7225039460982294e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6089831405623942 y2[1] (numeric) 1.6089831405628514 absolute error 4.571898415406395e-13 relative error 2.8414831082744352e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.780000000000573 y1[1] (closed_form) 0.20076676311744002 y1[1] (numeric) 0.2007667631177884 absolute error 3.483879851273741e-13 relative error 1.735287154694933e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.6010209921976317 y2[1] (numeric) 1.601020992198088 absolute error 4.563016631209393e-13 relative error 2.8500667095851107e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.790000000000568 y1[1] (closed_form) 0.19479661469396292 y1[1] (numeric) 0.19479661469430348 absolute error 3.4056091280376677e-13 relative error 1.748289688395295e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5929987422344989 y2[1] (numeric) 1.5929987422349536 absolute error 4.547473508864641e-13 relative error 2.854662334815093e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.800000000000562 y1[1] (closed_form) 0.1889069859380157 y1[1] (numeric) 0.18890698593834848 absolute error 3.3278935163139067e-13 relative error 1.7616571985357162e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5849171928913064 y2[1] (numeric) 1.58491719289176 absolute error 4.5363712786183896e-13 relative error 2.8622134323262996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.810000000000556 y1[1] (closed_form) 0.18309846580756606 y1[1] (numeric) 0.18309846580789108 absolute error 3.250177904590146e-13 relative error 1.7750983823130652e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5767771523162541 y2[1] (numeric) 1.5767771523167067 absolute error 4.525269048372138e-13 relative error 2.8699483891712966e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.820000000000551 y1[1] (closed_form) 0.1773716351497865 y1[1] (numeric) 0.17737163515010382 absolute error 3.1732949601348537e-13 relative error 1.789065629042138e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5685794345066166 y2[1] (numeric) 1.5685794345070678 absolute error 4.511946372076636e-13 relative error 2.8764538618956397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.830000000000545 y1[1] (closed_form) 0.17172706664297055 y1[1] (numeric) 0.1717270666432803 absolute error 3.097522238704187e-13 relative error 1.8037472480352183e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.560324859227343 y2[1] (numeric) 1.560324859227793 absolute error 4.4986236957811343e-13 relative error 2.8831327458365346e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.84000000000054 y1[1] (closed_form) 0.16616532473926504 y1[1] (numeric) 0.1661653247395672 absolute error 3.0214719615173635e-13 relative error 1.818352876124092e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5520142519290827 y2[1] (numeric) 1.552014251929531 absolute error 4.483080573436382e-13 relative error 2.8885563182581077e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.850000000000534 y1[1] (closed_form) 0.1606869656082256 y1[1] (numeric) 0.16068696560852025 absolute error 2.9465319073551655e-13 relative error 1.8337093467426407e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5436484436656395 y2[1] (numeric) 1.5436484436660867 absolute error 4.4719783431901305e-13 relative error 2.8970186583226844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.860000000000529 y1[1] (closed_form) 0.15529253708120005 y1[1] (numeric) 0.15529253708148727 absolute error 2.87214696470528e-13 relative error 1.8495073998330512e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.535228271010869 y2[1] (numeric) 1.535228271011314 absolute error 4.4519943287468777e-13 relative error 2.8998907933186172e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.870000000000523 y1[1] (closed_form) 0.14998257859654573 y1[1] (numeric) 0.14998257859682557 absolute error 2.798317133567707e-13 relative error 1.865761450264968e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5267545759750194 y2[1] (numeric) 1.5267545759754626 absolute error 4.432010314303625e-13 relative error 2.9028963685753124e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.880000000000518 y1[1] (closed_form) 0.14475762114568624 y1[1] (numeric) 0.14475762114595875 absolute error 2.7250424139424467e-13 relative error 1.8824863191140196e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5182282059205332 y2[1] (numeric) 1.5182282059209746 absolute error 4.4142467459096224e-13 relative error 2.9074988389068776e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.890000000000512 y1[1] (closed_form) 0.1396181872200125 y1[1] (numeric) 0.13961818722027772 absolute error 2.6520452500733427e-13 relative error 1.8994984126918999e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.50965001347731 y2[1] (numeric) 1.5096500134777497 absolute error 4.39648317751562e-13 relative error 2.9122532628531644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.900000000000507 y1[1] (closed_form) 0.13456479075863415 y1[1] (numeric) 0.1345647907588922 absolute error 2.58043586498502e-13 relative error 1.9176159309112964e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.5010208564574465 y2[1] (numeric) 1.501020856457884 absolute error 4.374278717023117e-13 relative error 2.91420248972878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.910000000000501 y1[1] (closed_form) 0.1295979370969862 y1[1] (numeric) 0.12959793709723716 absolute error 2.5096591471651664e-13 relative error 1.9364962154351518e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4923415977694532 y2[1] (numeric) 1.4923415977698882 absolute error 4.3498538104813633e-13 relative error 2.914784267209951e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.920000000000496 y1[1] (closed_form) 0.12471812291629591 y1[1] (numeric) 0.12471812291653978 absolute error 2.4386048735891563e-13 relative error 1.955293117445182e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4836131053319663 y2[1] (numeric) 1.4836131053323989 absolute error 4.32542890393961e-13 relative error 2.9154695981010305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.93000000000049 y1[1] (closed_form) 0.11992583619391461 y1[1] (numeric) 0.1199258361941516 absolute error 2.369909823940475e-13 relative error 1.9761461742976205e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4748362519869556 y2[1] (numeric) 1.4748362519873859 absolute error 4.303224443447107e-13 relative error 2.917764217993448e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.940000000000484 y1[1] (closed_form) 0.11522155615452123 y1[1] (numeric) 0.11522155615475133 absolute error 2.300937218535637e-13 relative error 1.996967664149491e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.466011915412442 y2[1] (numeric) 1.46601191541287 absolute error 4.2787995369053533e-13 relative error 2.918666275438541e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.950000000000479 y1[1] (closed_form) 0.11060575322219945 y1[1] (numeric) 0.11060575322242265 absolute error 2.231964613130799e-13 relative error 2.0179462171799813e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4571409780347293 y2[1] (numeric) 1.4571409780351545 absolute error 4.2521541843143495e-13 relative error 2.9181487916490426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.960000000000473 y1[1] (closed_form) 0.1060788889733959 y1[1] (numeric) 0.10607888897361237 absolute error 2.164657342262899e-13 relative error 2.0406108729191018e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4482243269401625 y2[1] (numeric) 1.4482243269405852 absolute error 4.227729277772596e-13 relative error 2.919250284039233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.970000000000468 y1[1] (closed_form) 0.10164141609076305 y1[1] (numeric) 0.10164141609097292 absolute error 2.0987378501757803e-13 relative error 2.064845149640245e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.439262853786421 y2[1] (numeric) 1.4392628537868406 absolute error 4.1966430330830917e-13 relative error 2.9158280727127355e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.980000000000462 y1[1] (closed_form) 0.09729377831789143 y1[1] (numeric) 0.0972937783180947 absolute error 2.0326795802105835e-13 relative error 2.0892184632496613e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4302574547133518 y2[1] (numeric) 1.4302574547137683 absolute error 4.1655567883935873e-13 relative error 2.912452422230819e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 8.990000000000457 y1[1] (closed_form) 0.09303641041493527 y1[1] (numeric) 0.09303641041513201 absolute error 1.9674539775138555e-13 relative error 2.114713979977475e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4212090302533582 y2[1] (numeric) 1.4212090302537717 absolute error 4.134470543704083e-13 relative error 2.9091220613529544e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.000000000000451 y1[1] (closed_form) 0.0888697381151371 y1[1] (numeric) 0.08886973811532735 absolute error 1.902505930573284e-13 relative error 2.1407803949061394e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4121184852413455 y2[1] (numeric) 1.412118485241756 absolute error 4.105604745063829e-13 relative error 2.9074081162262663e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.010000000000446 y1[1] (closed_form) 0.08479417808225453 y1[1] (numeric) 0.08479417808243846 absolute error 1.83922321816965e-13 relative error 2.1690442195046843e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.4029867287242397 y2[1] (numeric) 1.4029867287246471 absolute error 4.0745185003743245e-13 relative error 2.9041746560777203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.02000000000044 y1[1] (closed_form) 0.08081013786889468 y1[1] (numeric) 0.08081013786907235 absolute error 1.7766343951564068e-13 relative error 2.1985290979688653e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3938146738700827 y2[1] (numeric) 1.3938146738704869 absolute error 4.04121180963557e-13 relative error 2.899389628618769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.030000000000435 y1[1] (closed_form) 0.07691801587575886 y1[1] (numeric) 0.07691801587593032 absolute error 1.7146006836554761e-13 relative error 2.2291275511123033e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3846032378767166 y2[1] (numeric) 1.3846032378771176 absolute error 4.0101255649460654e-13 relative error 2.8962272044774187e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.040000000000429 y1[1] (closed_form) 0.07311820131180291 y1[1] (numeric) 0.07311820131196826 absolute error 1.6535384173010925e-13 relative error 2.2614593735009925e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3753533418800643 y2[1] (numeric) 1.375353341880462 absolute error 3.9768188742073107e-13 relative error 2.891488865523914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.050000000000423 y1[1] (closed_form) 0.06941107415531678 y1[1] (numeric) 0.06941107415547611 absolute error 1.5933088182151778e-13 relative error 2.2954677443111328e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3660659108620177 y2[1] (numeric) 1.3660659108624118 absolute error 3.9412917374193057e-13 relative error 2.8851402454895196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.060000000000418 y1[1] (closed_form) 0.06579700511592679 y1[1] (numeric) 0.06579700511608022 absolute error 1.5343282200319663e-13 relative error 2.33191194238804e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3567418735579386 y2[1] (numeric) 1.3567418735583292 absolute error 3.9057646006313007e-13 relative error 2.8787823806077198e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.070000000000412 y1[1] (closed_form) 0.0622763555975252 y1[1] (numeric) 0.062276355597672826 absolute error 1.4762496780562628e-13 relative error 2.3704818046785763e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3473821623637878 y2[1] (numeric) 1.3473821623641749 absolute error 3.8702374638432957e-13 relative error 2.872412573024955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.080000000000407 y1[1] (closed_form) 0.05884947766213 y1[1] (numeric) 0.05884947766227189 absolute error 1.41886502547095e-13 relative error 2.4110069992753706e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3379877132428848 y2[1] (numeric) 1.337987713243268 absolute error 3.8324898810060404e-13 relative error 2.8643685162976745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.090000000000401 y1[1] (closed_form) 0.05551671399467906 y1[1] (numeric) 0.055516713994815226 absolute error 1.3616885397027545e-13 relative error 2.452754209900219e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.328559465632313 y2[1] (numeric) 1.3285594656326924 absolute error 3.794742298168785e-13 relative error 2.8562833627945438e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.100000000000396 y1[1] (closed_form) 0.05227839786876165 y1[1] (numeric) 0.05227839786889231 absolute error 1.306593722105731e-13 relative error 2.499299472385842e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3190983623489767 y2[1] (numeric) 1.3190983623493524 absolute error 3.7569947153315297e-13 relative error 2.8481535741135203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.11000000000039 y1[1] (closed_form) 0.04913485311329202 y1[1] (numeric) 0.049134853113417136 absolute error 1.2511519598135123e-13 relative error 2.5463634885173784e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.30960534949532 y2[1] (numeric) 1.3096053494956914 absolute error 3.714806240395774e-13 relative error 2.8365845037417887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.120000000000385 y1[1] (closed_form) 0.046086394080125825 y1[1] (numeric) 0.04608639408024564 absolute error 1.198138810387661e-13 relative error 2.599766881966457e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.3000813763647172 y2[1] (numeric) 1.300081376365085 absolute error 3.6770586575585185e-13 relative error 2.828329614135614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.13000000000038 y1[1] (closed_form) 0.04313332561262628 y1[1] (numeric) 0.04313332561274076 absolute error 1.1447787162666145e-13 relative error 2.654046957908358e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2905273953465453 y2[1] (numeric) 1.2905273953469087 absolute error 3.6348701826227625e-13 relative error 2.8165773122907563e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.140000000000374 y1[1] (closed_form) 0.040275943015179116 y1[1] (numeric) 0.040275943015288376 absolute error 1.0925982341092322e-13 relative error 2.7127812592679853e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2809443618309437 y2[1] (numeric) 1.280944361831303 absolute error 3.5926817076870066e-13 relative error 2.8047133152229456e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.150000000000368 y1[1] (closed_form) 0.03751453202366295 y1[1] (numeric) 0.03751453202376707 absolute error 1.0411810302812796e-13 relative error 2.77540721985959e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2713332341132788 y2[1] (numeric) 1.271333234113634 absolute error 3.552713678800501e-13 relative error 2.7944787278989244e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.160000000000363 y1[1] (closed_form) 0.03484936877687572 y1[1] (numeric) 0.03484936877697484 absolute error 9.911516052341085e-14 relative error 2.844102031173048e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.261694973298313 y2[1] (numeric) 1.261694973298664 absolute error 3.510525203864745e-13 relative error 2.7823881985418062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.170000000000357 y1[1] (closed_form) 0.03228071978892111 y1[1] (numeric) 0.032280719789015394 absolute error 9.428569036629142e-14 relative error 2.920805080642926e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2520305432040955 y2[1] (numeric) 1.2520305432044423 absolute error 3.468336728928989e-13 relative error 2.7701694241844147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.180000000000351 y1[1] (closed_form) 0.029808841922557616 y1[1] (numeric) 0.029808841922647007 absolute error 8.939030071708487e-14 relative error 2.998784754849514e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2423409102655825 y2[1] (numeric) 1.2423409102659246 absolute error 3.4217073618947325e-13 relative error 2.7542418780713373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.190000000000346 y1[1] (closed_form) 0.02743398236351169 y1[1] (numeric) 0.02743398236359642 absolute error 8.473083346061117e-14 relative error 3.08853568314991e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2326270434379931 y2[1] (numeric) 1.2326270434383308 absolute error 3.377298440909726e-13 relative error 2.7399191498264577e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.20000000000034 y1[1] (closed_form) 0.025156378595760365 y1[1] (numeric) 0.02515637859584049 absolute error 8.012687735536872e-14 relative error 3.1851515133769137e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2228899140999152 y2[1] (numeric) 1.222889914100248 absolute error 3.3284486278262193e-13 relative error 2.7217892546575302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.210000000000335 y1[1] (closed_form) 0.022976258377782388 y1[1] (numeric) 0.022976258377858005 absolute error 7.561659631782902e-14 relative error 3.29107529496399e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2131304959561682 y2[1] (numeric) 1.2131304959564964 absolute error 3.2818192607919627e-13 relative error 2.705248340332332e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.22000000000033 y1[1] (closed_form) 0.02089383971978287 y1[1] (numeric) 0.020893839719854 absolute error 7.1130601408953e-14 relative error 3.4043815001416215e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.2033497649404339 y2[1] (numeric) 1.2033497649407574 absolute error 3.235189893757706e-13 relative error 2.6884867459278135e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.230000000000324 y1[1] (closed_form) 0.01890933086189206 y1[1] (numeric) 0.01890933086195893 absolute error 6.687012055195396e-14 relative error 3.5363557304249824e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.193548699117663 y2[1] (numeric) 1.1935486991179818 absolute error 3.1885605267234496e-13 relative error 2.6714959591348134e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.240000000000318 y1[1] (closed_form) 0.017022930253342228 y1[1] (numeric) 0.01702293025340483 absolute error 6.260270080105101e-14 relative error 3.677551389177536e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1837282785862704 y2[1] (numeric) 1.1837282785865844 absolute error 3.1397107136399427e-13 relative error 2.6523914064042695e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.250000000000313 y1[1] (closed_form) 0.015234826532621981 y1[1] (numeric) 0.015234826532680554 absolute error 5.857293816635689e-14 relative error 3.844673783514109e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1738894853801256 y2[1] (numeric) 1.173889485380435 absolute error 3.093081346605686e-13 relative error 2.634899950231766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.260000000000307 y1[1] (closed_form) 0.013545198508613576 y1[1] (numeric) 0.01354519850866811 absolute error 5.4534501914282885e-14 relative error 4.026113155861367e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1640333033703503 y2[1] (numeric) 1.1640333033706545 absolute error 3.042011087472929e-13 relative error 2.6133368166229166e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.270000000000302 y1[1] (closed_form) 0.011954215142711222 y1[1] (numeric) 0.011954215142761869 absolute error 5.064698660461886e-14 relative error 4.236747122248303e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.154160718166932 y2[1] (numeric) 1.1541607181672313 absolute error 2.993161274389422e-13 relative error 2.593366094752591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.280000000000296 y1[1] (closed_form) 0.010462035531925706 y1[1] (numeric) 0.010462035531972608 absolute error 4.6901718619984933e-14 relative error 4.483039507642727e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1442727170201636 y2[1] (numeric) 1.1442727170204579 absolute error 2.942091015256665e-13 relative error 2.571144947786797e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.29000000000029 y1[1] (closed_form) 0.009068808892974789 y1[1] (numeric) 0.00906880889301793 absolute error 4.3140838124067216e-14 relative error 4.757056702064429e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1343702887219203 y2[1] (numeric) 1.1343702887222096 absolute error 2.893241202173158e-13 relative error 2.5505262531452e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.300000000000285 y1[1] (closed_form) 0.007774674547361138 y1[1] (numeric) 0.007774674547400707 absolute error 3.956904248703097e-14 relative error 5.089478954519248e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1244544235067797 y2[1] (numeric) 1.1244544235070641 absolute error 2.844391389089651e-13 relative error 2.5295746360434868e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.31000000000028 y1[1] (closed_form) 0.0065797619074409175 y1[1] (numeric) 0.006579761907477062 absolute error 3.614469834545275e-14 relative error 5.493314021678726e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.114526112953 y2[1] (numeric) 1.1145261129532793 absolute error 2.793321129956894e-13 relative error 2.506285942960844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.320000000000274 y1[1] (closed_form) 0.0054841904634824745 y1[1] (numeric) 0.00548419046351523 absolute error 3.275504867339407e-14 relative error 5.972631492560259e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.1045863498833632 y2[1] (numeric) 1.1045863498836372 absolute error 2.7400304247748863e-13 relative error 2.480594138307263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.330000000000268 y1[1] (closed_form) 0.004488069771717229 y1[1] (numeric) 0.004488069771746635 absolute error 2.9406165003020845e-14 relative error 6.552073942417663e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.094636128265893 y2[1] (numeric) 1.094636128266162 absolute error 2.6911806116913795e-13 relative error 2.4585161609408137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.340000000000263 y1[1] (closed_form) 0.003591499443384105 y1[1] (numeric) 0.003591499443410354 absolute error 2.6248968276743057e-14 relative error 7.308637712612272e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0846764431144595 y2[1] (numeric) 1.0846764431147233 absolute error 2.637889906509372e-13 relative error 2.4319601695553842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.350000000000257 y1[1] (closed_form) 0.0027945691347688317 y1[1] (numeric) 0.0027945691347920822 absolute error 2.3250498748517145e-14 relative error 8.319886761520552e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 1.074708290389278 y2[1] (numeric) 1.0747082903895364 absolute error 2.5845992013273644e-13 relative error 2.4049309235263998e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.360000000000252 y1[1] (closed_form) 0.0020973585382382254 y1[1] (numeric) 0.002097358538258575 absolute error 2.034960741581493e-14 relative error 9.70249341960795e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 1.0647326668973143 y2[1] (numeric) 1.0647326668975674 absolute error 2.531308496145357e-13 relative error 2.3774122602265225e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.370000000000246 y1[1] (closed_form) 0.0014999373742710098 y1[1] (numeric) 0.0014999373742884791 absolute error 1.746931592438994e-14 relative error 1.1646696871514563e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0547505701926043 y2[1] (numeric) 1.0547505701928523 absolute error 2.4802382370125997e-13 relative error 2.35149267239523e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.38000000000024 y1[1] (closed_form) 0.001002365384485615 y1[1] (numeric) 0.001002365384500342 absolute error 1.4726934949305104e-14 relative error 1.4692182289258264e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0447629984765008 y2[1] (numeric) 1.0447629984767433 absolute error 2.424727085781342e-13 relative error 2.3208393571720465e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.390000000000235 y1[1] (closed_form) 0.0006046923256664005 y1[1] (numeric) 0.0006046923256785002 absolute error 1.209969624493823e-14 relative error 2.0009673897554053e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0347709504978517 y2[1] (numeric) 1.0347709504980889 absolute error 2.3714363805993344e-13 relative error 2.2917500529546008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.40000000000023 y1[1] (closed_form) 0.0003069579647878573 y1[1] (numeric) 0.00030695796479744366 absolute error 9.586352978790957e-15 relative error 3.123018158338459e-09% Desired digits 8 Estimated correct digits 8 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0247754254531287 y2[1] (numeric) 1.0247754254533605 absolute error 2.318145675417327e-13 relative error 2.262101156838635e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.410000000000224 y1[1] (closed_form) 0.00010919207503790052 y1[1] (numeric) 0.00010919207504514865 absolute error 7.248135468554406e-15 relative error 6.637968429520716e-09% Desired digits 8 Estimated correct digits 7 Correct digits 11 h 0.001 y2[1] (closed_form) 1.0147774228865065 y2[1] (numeric) 1.0147774228867328 absolute error 2.262634524186069e-13 relative error 2.2296855183770914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.420000000000218 y1[1] (closed_form) 1.1414432840917144e-05 y1[1] (numeric) 1.1414432845787803e-05 absolute error 4.870659675278513e-15 relative error 4.267106165642093e-08% Desired digits 8 Estimated correct digits 6 Correct digits 10 h 0.001 y2[1] (closed_form) 1.00477794258991 y2[1] (numeric) 1.0047779425901309 absolute error 2.2093438190040615e-13 relative error 2.198837897764027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.430000000000213 y1[1] (closed_form) 1.3634815879348672e-05 y1[1] (numeric) 1.3634815882098652e-05 absolute error 2.7499805546876005e-15 relative error 2.016881327200559e-08% Desired digits 8 Estimated correct digits 6 Correct digits 10 h 0.001 y2[1] (closed_form) 0.9947779845030362 y2[1] (numeric) 0.9947779845032516 absolute error 2.1538326677728037e-13 relative error 2.165139057484067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.440000000000207 y1[1] (closed_form) 0.00011585300211691685 y1[1] (numeric) 0.00011585300211762728 absolute error 7.104370260482828e-16 relative error 6.132228022294339e-10% Desired digits 8 Estimated correct digits 7 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9847785486133604 y2[1] (numeric) 0.9847785486135703 absolute error 2.0983215165415459e-13 relative error 2.130754695556818e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.450000000000202 y1[1] (closed_form) 0.00031805876982027304 y1[1] (numeric) 0.0003180587698189339 absolute error 1.3391523133454708e-15 relative error 4.2103926708331037e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9747806348561389 y2[1] (numeric) 0.974780634856343 absolute error 2.041700142285663e-13 relative error 2.0945226744138012e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.460000000000196 y1[1] (closed_form) 0.0006202318985808475 y1[1] (numeric) 0.0006202318985777511 absolute error 3.096372984401352e-15 relative error 4.992282711492528e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9647852430144156 y2[1] (numeric) 0.9647852430146142 absolute error 1.986188991054405e-13 relative error 2.0586850860702147e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.47000000000019 y1[1] (closed_form) 0.0010223421713378977 y1[1] (numeric) 0.001022342171333012 absolute error 4.88563182965418e-15 relative error 4.778861683129584e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9547933726190453 y2[1] (numeric) 0.9547933726192385 absolute error 1.9317880628477724e-13 relative error 2.0232524839890566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.480000000000185 y1[1] (closed_form) 0.0015243493773990924 y1[1] (numeric) 0.001524349377392532 absolute error 6.56029050527529e-15 relative error 4.303665945971473e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 0.944806022848741 y2[1] (numeric) 0.9448060228489287 absolute error 1.8762769116165146e-13 relative error 1.9858858498374513e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.49000000000018 y1[1] (closed_form) 0.002126203316462072 y1[1] (numeric) 0.002126203316454046 absolute error 8.026131842475692e-15 relative error 3.774865639769058e-10% Desired digits 8 Estimated correct digits 8 Correct digits 12 h 0.001 y2[1] (closed_form) 0.934824192430157 y2[1] (numeric) 0.9348241924303389 absolute error 1.8185453143360064e-13 relative error 1.9453340307855525e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.500000000000174 y1[1] (closed_form) 0.0028278438036346554 y1[1] (numeric) 0.0028278438036251907 absolute error 9.46465128492946e-15 relative error 3.3469498112888876e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9248488795380171 y2[1] (numeric) 0.9248488795381932 absolute error 1.7608137170554983e-13 relative error 1.9038934424995623e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.510000000000169 y1[1] (closed_form) 0.003629200675452693 y1[1] (numeric) 0.0036292006754419454 absolute error 1.0747479295414308e-14 relative error 2.9613901948460615e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9148810816952976 y2[1] (numeric) 0.9148810816954682 absolute error 1.7064127888488656e-13 relative error 1.8651744177361718e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.520000000000163 y1[1] (closed_form) 0.0045301937968967865 y1[1] (numeric) 0.004530193796884924 absolute error 1.1862906490467395e-14 relative error 2.6186311275675596e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.9049217956734763 y2[1] (numeric) 0.9049217956736413 absolute error 1.6497914145929826e-13 relative error 1.82313148216874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.530000000000157 y1[1] (closed_form) 0.005530733069405769 y1[1] (numeric) 0.005530733069392807 absolute error 1.2961853812498703e-14 relative error 2.343605024838298e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8949720173928561 y2[1] (numeric) 0.8949720173930154 absolute error 1.5920598173124745e-13 relative error 1.7788934026678348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.540000000000152 y1[1] (closed_form) 0.006630718439886052 y1[1] (numeric) 0.0066307184398721256 absolute error 1.3926360065141807e-14 relative error 2.1002792067553285e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8850327418229738 y2[1] (numeric) 0.8850327418231272 absolute error 1.5343282200319663e-13 relative error 1.7336400649670724e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.550000000000146 y1[1] (closed_form) 0.00783003991071718 y1[1] (numeric) 0.007830039910702481 absolute error 1.4698312011951487e-14 relative error 1.8771694882210658e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8751049628831031 y2[1] (numeric) 0.875104962883251 absolute error 1.4788170688007085e-13 relative error 1.6898739368688158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.56000000000014 y1[1] (closed_form) 0.009128577550751693 y1[1] (numeric) 0.009128577550736225 absolute error 1.546852923528519e-14 relative error 1.6945169331460006e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8651896733428655 y2[1] (numeric) 0.8651896733430077 absolute error 1.4221956945448255e-13 relative error 1.643796427955312e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.570000000000135 y1[1] (closed_form) 0.010526201507307542 y1[1] (numeric) 0.010526201507291461 absolute error 1.6080886622305002e-14 relative error 1.5277008150700197e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8552878647229518 y2[1] (numeric) 0.8552878647230884 absolute error 1.3655743202889425e-13 relative error 1.596625389664899e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.58000000000013 y1[1] (closed_form) 0.012022772019153805 y1[1] (numeric) 0.012022772019137215 absolute error 1.6589160600766206e-14 relative error 1.3798116253337886e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8454005271959729 y2[1] (numeric) 0.8454005271961037 absolute error 1.3078427230084344e-13 relative error 1.547009590053476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.590000000000124 y1[1] (closed_form) 0.013618139430486398 y1[1] (numeric) 0.013618139430469448 absolute error 1.6949983083769382e-14 relative error 1.244662177993575e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8355286494874419 y2[1] (numeric) 0.8355286494875669 absolute error 1.2501111257279263e-13 relative error 1.496191814002801e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.600000000000119 y1[1] (closed_form) 0.015312144205893774 y1[1] (numeric) 0.015312144205876491 absolute error 1.728304999115693e-14 relative error 1.1287152053142587e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8256732187769031 y2[1] (numeric) 0.8256732187770223 absolute error 1.191269305422793e-13 relative error 1.4427854486881133e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.610000000000113 y1[1] (closed_form) 0.017104616946309936 y1[1] (numeric) 0.01710461694629247 absolute error 1.7465195956134494e-14 relative error 1.0210808000527803e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 y2[1] (closed_form) 0.8158352205992149 y2[1] (numeric) 0.8158352205993284 absolute error 1.1357581541915351e-13 relative error 1.3921416059450623e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.620000000000108 y1[1] (closed_form) 0.018995378405954555 y1[1] (numeric) 0.01899537840593706 absolute error 1.7496420978702076e-14 relative error 9.210883092077495e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 y2[1] (closed_form) 0.8060156387459965 y2[1] (numeric) 0.8060156387461044 absolute error 1.0791367799356522e-13 relative error 1.3388534019198176e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.630000000000102 y1[1] (closed_form) 0.020984239510257408 y1[1] (numeric) 0.02098423951023994 absolute error 1.7468665403086447e-14 relative error 8.324659749783882e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7962154551672503 y2[1] (numeric) 0.7962154551673527 absolute error 1.0236256287043943e-13 relative error 1.285613865017698e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.640000000000096 y1[1] (closed_form) 0.023071001374765365 y1[1] (numeric) 0.023071001374748042 absolute error 1.7322948631104396e-14 relative error 7.508537817544373e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7864356498731676 y2[1] (numeric) 0.7864356498732645 absolute error 9.692247004977617e-14 relative error 1.2324272184940666e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.650000000000091 y1[1] (closed_form) 0.02525545532503093 y1[1] (numeric) 0.02525545532501389 absolute error 1.70384539810442e-14 relative error 6.746444980604733e-11% Desired digits 8 Estimated correct digits 9 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7766772008361278 y2[1] (numeric) 0.7766772008362192 absolute error 9.137135492665038e-14 relative error 1.1764392572394945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.660000000000085 y1[1] (closed_form) 0.027537382917479425 y1[1] (numeric) 0.02753738291746282 absolute error 1.6604773112049998e-14 relative error 6.029902391889999e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7669410838929027 y2[1] (numeric) 0.7669410838929883 absolute error 8.559819519859957e-14 relative error 1.1160987068799757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.67000000000008 y1[1] (closed_form) 0.02991655596125331 y1[1] (numeric) 0.02991655596123718 absolute error 1.6129458879632352e-14 relative error 5.39148252911283e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7572282726470732 y2[1] (numeric) 0.7572282726471532 absolute error 8.004708007547379e-14 relative error 1.0571063306399008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.680000000000074 y1[1] (closed_form) 0.03239273654103081 y1[1] (numeric) 0.03239273654101525 absolute error 1.5557000132560006e-14 relative error 4.8026199061182955e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7475397383716698 y2[1] (numeric) 0.7475397383717444 absolute error 7.460698725481052e-14 relative error 9.980337288466212e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.690000000000069 y1[1] (closed_form) 0.03496567704081732 y1[1] (numeric) 0.03496567704080251 absolute error 1.4814538484841933e-14 relative error 4.236880203277094e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7378764499120463 y2[1] (numeric) 0.7378764499121154 absolute error 6.916689443414725e-14 relative error 9.373777201100785e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.700000000000063 y1[1] (closed_form) 0.03763512016870718 y1[1] (numeric) 0.0376351201686931 absolute error 1.4079015731027766e-14 relative error 3.740924877591908e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.728239373588996 y2[1] (numeric) 0.7282393735890597 absolute error 6.361577931102147e-14 relative error 8.735558886016092e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.710000000000058 y1[1] (closed_form) 0.04040079898261195 y1[1] (numeric) 0.04040079898259878 absolute error 1.317002062961592e-14 relative error 3.2598416272124094e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.7186294731021203 y2[1] (numeric) 0.7186294731021786 absolute error 5.828670879282072e-14 relative error 8.110815235731075e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.720000000000052 y1[1] (closed_form) 0.04326243691695497 y1[1] (numeric) 0.043262436916942856 absolute error 1.211530875622202e-14 relative error 2.8004221721208482e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.70904770943346 y2[1] (numeric) 0.7090477094335126 absolute error 5.262457136723242e-14 relative error 7.421866070095658e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.730000000000047 y1[1] (closed_form) 0.04621974781032756 y1[1] (numeric) 0.04621974781031659 absolute error 1.0970391262077328e-14 relative error 2.3735290177472695e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6994950407513966 y2[1] (numeric) 0.699495040751444 absolute error 4.7406523151494184e-14 relative error 6.777249356989031e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.740000000000041 y1[1] (closed_form) 0.0492724359341048 y1[1] (numeric) 0.04927243593409507 absolute error 9.728329253277934e-15 relative error 1.9743958399556814e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6899724223148381 y2[1] (numeric) 0.6899724223148801 absolute error 4.196643033083092e-14 relative error 6.0823344489674994e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.750000000000036 y1[1] (closed_form) 0.052420196022018195 y1[1] (numeric) 0.0524201960220098 absolute error 8.396061623727746e-15 relative error 1.6016845149150388e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6804808063776927 y2[1] (numeric) 0.6804808063777292 absolute error 3.652633751016765e-14 relative error 5.367724874505005e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.76000000000003 y1[1] (closed_form) 0.055662713300682065 y1[1] (numeric) 0.05566271330067513 absolute error 6.931955010003321e-15 relative error 1.2453498219818867e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.6710211420936443 y2[1] (numeric) 0.6710211420936756 absolute error 3.1308289294429414e-14 relative error 4.6657679364237066e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.770000000000024 y1[1] (closed_form) 0.05899966352107067 y1[1] (numeric) 0.05899966352106529 absolute error 5.377642775528102e-15 relative error 9.114700753517982e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6615943754212386 y2[1] (numeric) 0.6615943754212645 absolute error 2.5979218776228663e-14 relative error 3.9267593167925045e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.780000000000019 y1[1] (closed_form) 0.062430712990942605 y1[1] (numeric) 0.06243071299093899 absolute error 3.615163723935666e-15 relative error 5.790681462279873e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6522014490292867 y2[1] (numeric) 0.6522014490293075 absolute error 2.0872192862952943e-14 relative error 3.2002677844427316e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.790000000000013 y1[1] (closed_form) 0.06595551860821036 y1[1] (numeric) 0.06595551860820849 absolute error 1.8735013540549517e-15 relative error 2.840552835592035e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6428433022026008 y2[1] (numeric) 0.6428433022026167 absolute error 1.587618925213974e-14 relative error 2.469682611258839e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.800000000000008 y1[1] (closed_form) 0.0695737278952493 y1[1] (numeric) 0.06957372789524935 absolute error 5.551115123125783e-17 relative error 7.978751881002527e-14% Desired digits 8 Estimated correct digits 10 Correct digits 16 h 0.001 y2[1] (closed_form) 0.633520870748065 y2[1] (numeric) 0.6335208707480758 absolute error 1.0880185641326534e-14 relative error 1.717415501793832e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.810000000000002 y1[1] (closed_form) 0.0732849790341461 y1[1] (numeric) 0.073284979034148 absolute error 1.9012569296705806e-15 relative error 2.5943337294054715e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.624235086901056 y2[1] (numeric) 0.6242350869010618 absolute error 5.773159728050814e-15 relative error 9.248374289101575e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.819999999999997 y1[1] (closed_form) 0.07708890090287934 y1[1] (numeric) 0.07708890090288333 absolute error 3.982925100842749e-15 relative error 5.166664791161892e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6149868792322206 y2[1] (numeric) 0.6149868792322211 absolute error 4.440892098500626e-16 relative error 7.221116821296823e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 9.829999999999991 y1[1] (closed_form) 0.08098511311243217 y1[1] (numeric) 0.08098511311243835 absolute error 6.175615574477433e-15 relative error 7.625618261351052e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.6057771725546187 y2[1] (numeric) 0.6057771725546144 absolute error 4.3298697960381105e-15 relative error 7.147627860882652e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 9.839999999999986 y1[1] (closed_form) 0.08497322604483049 y1[1] (numeric) 0.08497322604483895 absolute error 8.465450562766819e-15 relative error 9.96249166566959e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 y2[1] (closed_form) 0.5966068878312434 y2[1] (numeric) 0.5966068878312342 absolute error 9.2148511043888e-15 relative error 1.5445431979315864e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.84999999999998 y1[1] (closed_form) 0.08905284089210441 y1[1] (numeric) 0.08905284089211525 absolute error 1.083855227790309e-14 relative error 1.217092253242654e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5874769420829251 y2[1] (numeric) 0.5874769420829109 absolute error 1.4210854715202004e-14 relative error 2.41896382602129e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.859999999999975 y1[1] (closed_form) 0.09322354969616897 y1[1] (numeric) 0.09322354969618227 absolute error 1.329492071988625e-14 relative error 1.426133285335798e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5783882482966304 y2[1] (numeric) 0.5783882482966113 absolute error 1.9095836023552692e-14 relative error 3.3015601682417418e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.869999999999969 y1[1] (closed_form) 0.09748493538961922 y1[1] (numeric) 0.09748493538963515 absolute error 1.5931700403370996e-14 relative error 1.6342730638017636e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.569341715334164 y2[1] (numeric) 0.5693417153341401 absolute error 2.3869795029440866e-14 relative error 4.1925252245799265e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.879999999999963 y1[1] (closed_form) 0.1018365718374371 y1[1] (numeric) 0.10183657183745567 absolute error 1.8568480086855743e-14 relative error 1.8233606799428424e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5603382478412835 y2[1] (numeric) 0.5603382478412549 absolute error 2.864375403532904e-14 relative error 5.11186843762313e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.889999999999958 y1[1] (closed_form) 0.10627802387960406 y1[1] (numeric) 0.10627802387962543 absolute error 2.1371793224034263e-14 relative error 2.0109324998595263e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5513787461572351 y2[1] (numeric) 0.5513787461572018 absolute error 3.3306690738754696e-14 relative error 6.0406192605140275e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.899999999999952 y1[1] (closed_form) 0.11080884737461716 y1[1] (numeric) 0.11080884737464142 absolute error 2.425837308805967e-14 relative error 2.1892090444771205e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5424641062247213 y2[1] (numeric) 0.5424641062246833 absolute error 3.7969627442180354e-14 relative error 6.999472777365853e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.909999999999947 y1[1] (closed_form) 0.11542858924390254 y1[1] (numeric) 0.11542858924392976 absolute error 2.7228219678931964e-14 relative error 2.3588800536579618e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5335952195003062 y2[1] (numeric) 0.5335952195002638 absolute error 4.241051954068098e-14 relative error 7.94806962108787e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.919999999999941 y1[1] (closed_form) 0.12013678751712309 y1[1] (numeric) 0.12013678751715332 absolute error 3.0225821845419887e-14 relative error 2.5159505651931804e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5247729728652718 y2[1] (numeric) 0.5247729728652247 absolute error 4.707345624410664e-14 relative error 8.970251647504738e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.929999999999936 y1[1] (closed_form) 0.12493297137837478 y1[1] (numeric) 0.12493297137840825 absolute error 3.347322419244847e-14 relative error 2.679294650814853e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5159982485369295 y2[1] (numeric) 0.515998248536878 absolute error 5.1514348342607263e-14 relative error 9.983434728445678e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 9.93999999999993 y1[1] (closed_form) 0.12981666121326862 y1[1] (numeric) 0.12981666121330526 absolute error 3.6637359812630166e-14 relative error 2.822238645657407e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.5072719239804 y2[1] (numeric) 0.5072719239803442 absolute error 5.5844218138645374e-14 relative error 1.1008734270261542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.949999999999925 y1[1] (closed_form) 0.13478736865689056 y1[1] (numeric) 0.1347873686569306 absolute error 4.005129561335252e-14 relative error 2.9714428000523945e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.49859487182086715 y2[1] (numeric) 0.49859487182080686 absolute error 6.0285110237146e-14 relative error 1.2091000859472328e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.95999999999992 y1[1] (closed_form) 0.1398445966426386 y1[1] (numeric) 0.1398445966426821 absolute error 4.349298698969051e-14 relative error 3.110094206988438e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4899679597563159 y2[1] (numeric) 0.48996795975625124 absolute error 6.467049118441537e-14 relative error 1.3198922479865631e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.969999999999914 y1[1] (closed_form) 0.1449878394519286 y1[1] (numeric) 0.1449878394519755 absolute error 4.6879167214797235e-14 relative error 3.233317179703215e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4813920504707637 y2[1] (numeric) 0.4813920504706947 absolute error 6.900036098045348e-14 relative error 1.4333506528198072e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.979999999999908 y1[1] (closed_form) 0.15021658276476546 y1[1] (numeric) 0.150216582764816 absolute error 5.054290319606025e-14 relative error 3.3646686847622463e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.47286800154799247 y2[1] (numeric) 0.4728680015479192 absolute error 7.327471962526033e-14 relative error 1.549580842547738e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.989999999999903 y1[1] (closed_form) 0.15553030371117527 y1[1] (numeric) 0.1555303037112295 absolute error 5.42343947529389e-14 relative error 3.487062871918125e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.46439666538579116 y2[1] (numeric) 0.4643966653857138 absolute error 7.738254481637341e-14 relative error 1.666302766237327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 9.999999999999897 y1[1] (closed_form) 0.1609284709234915 y1[1] (numeric) 0.16092847092354948 absolute error 5.79813974610488e-14 relative error 3.602929744396458e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 y2[1] (closed_form) 0.4559788891107166 y2[1] (numeric) 0.4559788891106351 absolute error 8.149037000748649e-14 relative error 1.7871522553689924e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 Finished! diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations 9901 Total Elapsed Time 36 Seconds Elapsed Time(since restart) 36 Seconds Time to Timeout 2 Minutes 24.0 Seconds Percent Done 100.02020202020097%