##############ECHO OF PROBLEM################# ##############temp/arcsin_sin_m0d2_m0d5postode.ode################# diff ( y , x , 1 ) = arcsin ( sin ( x ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms=30; Digits=32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-0.2); x_end=c(-0.5); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_display_interval=0.001; glob_type_given_pole=0; /* 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 */ double exact_soln_y (double x) { return(c(x)*c(x)/c(2.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -0.201 y[1] (closed_form) = 0.0202005 y[1] (numeric) = 0.02020049996617333 absolute error = 3.382667063123179e-11 relative error = 1.674546205847963e-07 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.202 y[1] (closed_form) = 0.020402 y[1] (numeric) = 0.02040199993217311 absolute error = 6.782689340734116e-11 relative error = 3.324521782538043e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.203 y[1] (closed_form) = 0.0206045 y[1] (numeric) = 0.02060449989799927 absolute error = 1.020007342478202e-10 relative error = 4.950410553414069e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.204 y[1] (closed_form) = 0.020808 y[1] (numeric) = 0.02080799986365173 absolute error = 1.363482694805018e-10 relative error = 6.552685000024116e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.205 y[1] (closed_form) = 0.0210125 y[1] (numeric) = 0.02101249982913043 absolute error = 1.708695684943251e-10 relative error = 8.131805758207023e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.206 y[1] (closed_form) = 0.021218 y[1] (numeric) = 0.0212179997944353 absolute error = 2.05564704147676e-10 relative error = 9.688222459594495e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.207 y[1] (closed_form) = 0.0214245 y[1] (numeric) = 0.02142449975956626 absolute error = 2.404337458294936e-10 relative error = 1.122237372305041e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.208 y[1] (closed_form) = 0.02163200000000001 y[1] (numeric) = 0.02163199972452323 absolute error = 2.754767733370578e-10 relative error = 1.273468811654298e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.209 y[1] (closed_form) = 0.0218405 y[1] (numeric) = 0.02184049968930616 absolute error = 3.106938456509667e-10 relative error = 1.422558300638569e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.21 y[1] (closed_form) = 0.02205 y[1] (numeric) = 0.02204999965391495 absolute error = 3.460850495073942e-10 relative error = 1.5695467097841e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.211 y[1] (closed_form) = 0.02226050000000001 y[1] (numeric) = 0.02226049961834955 absolute error = 3.816504577647262e-10 relative error = 1.714473878685232e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.212 y[1] (closed_form) = 0.02247200000000001 y[1] (numeric) = 0.02247199958260987 absolute error = 4.173901398119018e-10 relative error = 1.857378692648192e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.213 y[1] (closed_form) = 0.0226845 y[1] (numeric) = 0.02268449954669583 absolute error = 4.533041685073069e-10 relative error = 1.99829914041441e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.214 y[1] (closed_form) = 0.02289800000000001 y[1] (numeric) = 0.02289799951060738 absolute error = 4.893926271176685e-10 relative error = 2.137272369279712e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.215 y[1] (closed_form) = 0.0231125 y[1] (numeric) = 0.02311249947434442 absolute error = 5.256555850319256e-10 relative error = 2.274334602625962e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.216 y[1] (closed_form) = 0.023328 y[1] (numeric) = 0.02332799943790689 absolute error = 5.62093118577911e-10 relative error = 2.409521255906682e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.217 y[1] (closed_form) = 0.02354450000000001 y[1] (numeric) = 0.0235444994012947 absolute error = 5.987053075529047e-10 relative error = 2.542866943672215e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.218 y[1] (closed_form) = 0.02376200000000001 y[1] (numeric) = 0.02376199936450778 absolute error = 6.354922213458458e-10 relative error = 2.674405442916614e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.219 y[1] (closed_form) = 0.02398050000000001 y[1] (numeric) = 0.02398049932754606 absolute error = 6.724539432234611e-10 relative error = 2.80416981807494e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.22 y[1] (closed_form) = 0.02420000000000001 y[1] (numeric) = 0.02419999929040946 absolute error = 7.095905495135835e-10 relative error = 2.932192353361914e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.221 y[1] (closed_form) = 0.02442050000000001 y[1] (numeric) = 0.02442049925309789 absolute error = 7.469021200134929e-10 relative error = 3.058504617077835e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.222 y[1] (closed_form) = 0.02464200000000001 y[1] (numeric) = 0.02464199921561128 absolute error = 7.843887275815753e-10 relative error = 3.18313743844483e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.223 y[1] (closed_form) = 0.02486450000000001 y[1] (numeric) = 0.02486449917794955 absolute error = 8.220504554845576e-10 relative error = 3.306120997746013e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.224 y[1] (closed_form) = 0.02508800000000001 y[1] (numeric) = 0.02508799914011263 absolute error = 8.598873800502727e-10 relative error = 3.427484773797323e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.225 y[1] (closed_form) = 0.02531250000000001 y[1] (numeric) = 0.02531249910210042 absolute error = 8.978995845454474e-10 relative error = 3.547257617957322e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.226 y[1] (closed_form) = 0.02553800000000001 y[1] (numeric) = 0.02553799906391286 absolute error = 9.360871452979147e-10 relative error = 3.665467715944531e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.227 y[1] (closed_form) = 0.02576450000000001 y[1] (numeric) = 0.02576449902554987 absolute error = 9.744501421049545e-10 relative error = 3.782142646296083e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.228 y[1] (closed_form) = 0.02599200000000001 y[1] (numeric) = 0.02599199898701135 absolute error = 1.012988654763847e-09 relative error = 3.897309382747947e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.229 y[1] (closed_form) = 0.02622050000000001 y[1] (numeric) = 0.02622049894829724 absolute error = 1.051702770010765e-09 relative error = 4.010994336533494e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.23 y[1] (closed_form) = 0.02645000000000001 y[1] (numeric) = 0.02644999890940744 absolute error = 1.090592564173543e-09 relative error = 4.12322330500394e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.231 y[1] (closed_form) = 0.02668050000000001 y[1] (numeric) = 0.02668049887034189 absolute error = 1.129658123988353e-09 relative error = 4.23402156626882e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.232 y[1] (closed_form) = 0.02691200000000001 y[1] (numeric) = 0.02691199883110048 absolute error = 1.168899525783029e-09 relative error = 4.343413814592111e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.233 y[1] (closed_form) = 0.02714450000000001 y[1] (numeric) = 0.02714449879168315 absolute error = 1.208316856293745e-09 relative error = 4.451424252772181e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.234 y[1] (closed_form) = 0.02737800000000001 y[1] (numeric) = 0.02737799875208981 absolute error = 1.247910198787228e-09 relative error = 4.558076553390412e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.235 y[1] (closed_form) = 0.02761250000000001 y[1] (numeric) = 0.02761249871232038 absolute error = 1.287679633060757e-09 relative error = 4.663393872560457e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.236 y[1] (closed_form) = 0.02784800000000001 y[1] (numeric) = 0.02784799867237476 absolute error = 1.327625249319953e-09 relative error = 4.767398913099511e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.237 y[1] (closed_form) = 0.02808450000000001 y[1] (numeric) = 0.02808449863225288 absolute error = 1.367747123892649e-09 relative error = 4.870113848894045e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.238 y[1] (closed_form) = 0.02832200000000001 y[1] (numeric) = 0.02832199859195466 absolute error = 1.408045350453913e-09 relative error = 4.971560449311179e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.239 y[1] (closed_form) = 0.02856050000000001 y[1] (numeric) = 0.02856049855148 absolute error = 1.448520008801024e-09 relative error = 5.071759978995549e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.24 y[1] (closed_form) = 0.02880000000000001 y[1] (numeric) = 0.02879999851082882 absolute error = 1.489171185670157e-09 relative error = 5.170733283576934e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.241 y[1] (closed_form) = 0.02904050000000001 y[1] (numeric) = 0.02904049847000104 absolute error = 1.529998967797486e-09 relative error = 5.268500775804428e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.242 y[1] (closed_form) = 0.02928200000000001 y[1] (numeric) = 0.02928199842899657 absolute error = 1.571003441919183e-09 relative error = 5.3650824462782e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.243 y[1] (closed_form) = 0.02952450000000001 y[1] (numeric) = 0.02952449838781532 absolute error = 1.612184691301977e-09 relative error = 5.460497862121208e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2440000000000001 y[1] (closed_form) = 0.02976800000000001 y[1] (numeric) = 0.02976799834645721 absolute error = 1.653542806151487e-09 relative error = 5.554766212548663e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2450000000000001 y[1] (closed_form) = 0.03001250000000001 y[1] (numeric) = 0.03001249830492214 absolute error = 1.695077873203887e-09 relative error = 5.64790628306168e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2460000000000001 y[1] (closed_form) = 0.03025800000000001 y[1] (numeric) = 0.03025799826321003 absolute error = 1.736789986134246e-09 relative error = 5.739936499881834e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2470000000000001 y[1] (closed_form) = 0.03050450000000001 y[1] (numeric) = 0.03050449822132079 absolute error = 1.778679224739843e-09 relative error = 5.830874870067834e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2480000000000001 y[1] (closed_form) = 0.03075200000000001 y[1] (numeric) = 0.03075199817925433 absolute error = 1.820745679226299e-09 relative error = 5.920739071365434e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2490000000000001 y[1] (closed_form) = 0.03100050000000001 y[1] (numeric) = 0.03100049813701057 absolute error = 1.862989446738128e-09 relative error = 6.009546448406081e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2500000000000001 y[1] (closed_form) = 0.03125000000000001 y[1] (numeric) = 0.0312499980945894 absolute error = 1.905410610542058e-09 relative error = 6.097313953734582e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2510000000000001 y[1] (closed_form) = 0.03150050000000001 y[1] (numeric) = 0.03150049805199075 absolute error = 1.948009260843708e-09 relative error = 6.184058223976468e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2520000000000001 y[1] (closed_form) = 0.03175200000000002 y[1] (numeric) = 0.03175199800921452 absolute error = 1.990785494787595e-09 relative error = 6.269795587010562e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2530000000000001 y[1] (closed_form) = 0.03200450000000001 y[1] (numeric) = 0.03200449796626062 absolute error = 2.033739392170997e-09 relative error = 6.354541993066588e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2540000000000001 y[1] (closed_form) = 0.03225800000000002 y[1] (numeric) = 0.03225799792312896 absolute error = 2.076871057077323e-09 relative error = 6.438313153566006e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2550000000000001 y[1] (closed_form) = 0.03251250000000001 y[1] (numeric) = 0.03251249787981945 absolute error = 2.120180565834406e-09 relative error = 6.521124385496057e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2560000000000001 y[1] (closed_form) = 0.03276800000000001 y[1] (numeric) = 0.03276799783633199 absolute error = 2.163668022525655e-09 relative error = 6.602990791399093e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2570000000000001 y[1] (closed_form) = 0.03302450000000002 y[1] (numeric) = 0.03302449779266649 absolute error = 2.207333524295585e-09 relative error = 6.683927158005674e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2580000000000001 y[1] (closed_form) = 0.03328200000000001 y[1] (numeric) = 0.03328199774882287 absolute error = 2.251177147472028e-09 relative error = 6.763947922216294e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2590000000000001 y[1] (closed_form) = 0.03354050000000001 y[1] (numeric) = 0.03354049770480101 absolute error = 2.295199003077286e-09 relative error = 6.843067345678464e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2600000000000001 y[1] (closed_form) = 0.03380000000000002 y[1] (numeric) = 0.03379999766060084 absolute error = 2.339399181316981e-09 relative error = 6.921299353008817e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2610000000000001 y[1] (closed_form) = 0.03406050000000001 y[1] (numeric) = 0.03406049761622225 absolute error = 2.38377776545784e-09 relative error = 6.998657581238792e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2620000000000001 y[1] (closed_form) = 0.03432200000000002 y[1] (numeric) = 0.03432199757166515 absolute error = 2.428334866522164e-09 relative error = 7.075155487798387e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2630000000000001 y[1] (closed_form) = 0.03458450000000002 y[1] (numeric) = 0.03458449752692945 absolute error = 2.473070567776681e-09 relative error = 7.150806192880277e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2640000000000001 y[1] (closed_form) = 0.03484800000000002 y[1] (numeric) = 0.03484799748201505 absolute error = 2.517984966365905e-09 relative error = 7.22562260779931e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2650000000000001 y[1] (closed_form) = 0.03511250000000002 y[1] (numeric) = 0.03511249743692185 absolute error = 2.563078166373245e-09 relative error = 7.29961741936132e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2660000000000001 y[1] (closed_form) = 0.03537800000000002 y[1] (numeric) = 0.03537799739164976 absolute error = 2.608350258004322e-09 relative error = 7.372803035797162e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2670000000000001 y[1] (closed_form) = 0.03564450000000002 y[1] (numeric) = 0.03564449734619868 absolute error = 2.653801331464756e-09 relative error = 7.445191632551318e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2680000000000001 y[1] (closed_form) = 0.03591200000000002 y[1] (numeric) = 0.03591199730056852 absolute error = 2.699431504715744e-09 relative error = 7.516795234784312e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2690000000000001 y[1] (closed_form) = 0.03618050000000002 y[1] (numeric) = 0.03618049725475916 absolute error = 2.745240854085118e-09 relative error = 7.587625527798446e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2700000000000001 y[1] (closed_form) = 0.03645000000000002 y[1] (numeric) = 0.03644999720877053 absolute error = 2.791229490595182e-09 relative error = 7.657694075706942e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2710000000000001 y[1] (closed_form) = 0.03672050000000002 y[1] (numeric) = 0.03672049716260251 absolute error = 2.837397511390449e-09 relative error = 7.727012190439803e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2720000000000001 y[1] (closed_form) = 0.03699200000000002 y[1] (numeric) = 0.036991997116255 absolute error = 2.883745013615435e-09 relative error = 7.795590975387742e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2730000000000001 y[1] (closed_form) = 0.03726450000000002 y[1] (numeric) = 0.03726449706972792 absolute error = 2.930272101353548e-09 relative error = 7.863441348612075e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2740000000000001 y[1] (closed_form) = 0.03753800000000002 y[1] (numeric) = 0.03753799702302115 absolute error = 2.976978871749303e-09 relative error = 7.930574009668339e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2750000000000001 y[1] (closed_form) = 0.03781250000000002 y[1] (numeric) = 0.0378124969761346 absolute error = 3.02386541500832e-09 relative error = 7.996999444650099e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2760000000000001 y[1] (closed_form) = 0.03808800000000002 y[1] (numeric) = 0.03808799692906817 absolute error = 3.07093185603069e-09 relative error = 8.062728040408233e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2770000000000001 y[1] (closed_form) = 0.03836450000000002 y[1] (numeric) = 0.03836449688182175 absolute error = 3.118178271144245e-09 relative error = 8.127769868352887e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2780000000000001 y[1] (closed_form) = 0.03864200000000002 y[1] (numeric) = 0.03864199683439525 absolute error = 3.165604778310183e-09 relative error = 8.192134926531186e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2790000000000001 y[1] (closed_form) = 0.03892050000000002 y[1] (numeric) = 0.03892049678678855 absolute error = 3.213211474673017e-09 relative error = 8.255832979208938e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2800000000000001 y[1] (closed_form) = 0.03920000000000002 y[1] (numeric) = 0.03919999673900156 absolute error = 3.260998457377262e-09 relative error = 8.318873615758318e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2810000000000001 y[1] (closed_form) = 0.03948050000000002 y[1] (numeric) = 0.03948049669103418 absolute error = 3.308965844384115e-09 relative error = 8.381266307124058e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2820000000000001 y[1] (closed_form) = 0.03976200000000003 y[1] (numeric) = 0.03976199664288629 absolute error = 3.357113732838091e-09 relative error = 8.443020302897461e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2830000000000001 y[1] (closed_form) = 0.04004450000000002 y[1] (numeric) = 0.0400444965945578 absolute error = 3.405442219883703e-09 relative error = 8.504144688743026e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2840000000000001 y[1] (closed_form) = 0.04032800000000002 y[1] (numeric) = 0.04032799654604861 absolute error = 3.453951416543255e-09 relative error = 8.564648424279044e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2850000000000001 y[1] (closed_form) = 0.04061250000000002 y[1] (numeric) = 0.0406124964973586 absolute error = 3.502641426900155e-09 relative error = 8.62454029399853e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2860000000000001 y[1] (closed_form) = 0.04089800000000002 y[1] (numeric) = 0.04089799644848766 absolute error = 3.551512361976705e-09 relative error = 8.68382894512373e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2870000000000001 y[1] (closed_form) = 0.04118450000000003 y[1] (numeric) = 0.04118449639943571 absolute error = 3.600564318917421e-09 relative error = 8.742522839702846e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2880000000000001 y[1] (closed_form) = 0.04147200000000002 y[1] (numeric) = 0.04147199635020262 absolute error = 3.64979740180571e-09 relative error = 8.800630309137992e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2890000000000001 y[1] (closed_form) = 0.04176050000000003 y[1] (numeric) = 0.04176049630078829 absolute error = 3.699211735541663e-09 relative error = 8.858159589903523e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2900000000000001 y[1] (closed_form) = 0.04205000000000002 y[1] (numeric) = 0.04204999625119261 absolute error = 3.748807410330901e-09 relative error = 8.915118692820211e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2910000000000001 y[1] (closed_form) = 0.04234050000000002 y[1] (numeric) = 0.04234049620141549 absolute error = 3.798584537195726e-09 relative error = 8.971515539957544e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2920000000000001 y[1] (closed_form) = 0.04263200000000002 y[1] (numeric) = 0.0426319961514568 absolute error = 3.848543227158441e-09 relative error = 9.02735791696012e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2930000000000001 y[1] (closed_form) = 0.04292450000000003 y[1] (numeric) = 0.04292449610131643 absolute error = 3.898683591241348e-09 relative error = 9.08265347585026e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2940000000000001 y[1] (closed_form) = 0.04321800000000003 y[1] (numeric) = 0.04321799605099429 absolute error = 3.949005733527855e-09 relative error = 9.137409721708207e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2950000000000001 y[1] (closed_form) = 0.04351250000000003 y[1] (numeric) = 0.04351249600049026 absolute error = 3.999509771979159e-09 relative error = 9.191634063726876e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2960000000000001 y[1] (closed_form) = 0.04380800000000003 y[1] (numeric) = 0.04380799594980422 absolute error = 4.050195803739776e-09 relative error = 9.245333737536005e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2970000000000001 y[1] (closed_form) = 0.04410450000000003 y[1] (numeric) = 0.04410449589893608 absolute error = 4.1010639467709e-09 relative error = 9.298515903753353e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2980000000000001 y[1] (closed_form) = 0.04440200000000003 y[1] (numeric) = 0.04440199584788571 absolute error = 4.152114319033728e-09 relative error = 9.351187601985779e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.2990000000000001 y[1] (closed_form) = 0.04470050000000003 y[1] (numeric) = 0.04470049579665301 absolute error = 4.203347017672776e-09 relative error = 9.403355706698523e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3000000000000001 y[1] (closed_form) = 0.04500000000000003 y[1] (numeric) = 0.04499999574523787 absolute error = 4.254762167588133e-09 relative error = 9.455027039084733e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3010000000000001 y[1] (closed_form) = 0.04530050000000003 y[1] (numeric) = 0.04530049569364016 absolute error = 4.306359865924314e-09 relative error = 9.506208244775028e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3020000000000001 y[1] (closed_form) = 0.04560200000000003 y[1] (numeric) = 0.04560199564185979 absolute error = 4.358140244520303e-09 relative error = 9.556905935091225e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3030000000000001 y[1] (closed_form) = 0.04590450000000003 y[1] (numeric) = 0.04590449558989663 absolute error = 4.410103400520615e-09 relative error = 9.607126535569743e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3040000000000001 y[1] (closed_form) = 0.04620800000000003 y[1] (numeric) = 0.04620799553775057 absolute error = 4.462249465764234e-09 relative error = 9.656876440798629e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3050000000000001 y[1] (closed_form) = 0.04651250000000003 y[1] (numeric) = 0.0465124954854215 absolute error = 4.514578537395675e-09 relative error = 9.706161864865727e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3060000000000001 y[1] (closed_form) = 0.04681800000000003 y[1] (numeric) = 0.04681799543290929 absolute error = 4.567090740315027e-09 relative error = 9.754988979270844e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3070000000000001 y[1] (closed_form) = 0.04712450000000003 y[1] (numeric) = 0.04712449538021385 absolute error = 4.619786185544594e-09 relative error = 9.803363824644486e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3080000000000001 y[1] (closed_form) = 0.04743200000000003 y[1] (numeric) = 0.04743199532733505 absolute error = 4.672664984106678e-09 relative error = 9.851292342947115e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3090000000000001 y[1] (closed_form) = 0.04774050000000003 y[1] (numeric) = 0.04774049527427277 absolute error = 4.725727267840263e-09 relative error = 9.898780422995695e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3100000000000001 y[1] (closed_form) = 0.04805000000000004 y[1] (numeric) = 0.0480499952210269 absolute error = 4.778973140828757e-09 relative error = 9.945833799851724e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3110000000000001 y[1] (closed_form) = 0.04836050000000004 y[1] (numeric) = 0.04836049516759731 absolute error = 4.832402721033358e-09 relative error = 9.992458144629097e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3120000000000001 y[1] (closed_form) = 0.04867200000000003 y[1] (numeric) = 0.04867199511398391 absolute error = 4.88601612641526e-09 relative error = 1.003865903684923e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3130000000000001 y[1] (closed_form) = 0.04898450000000003 y[1] (numeric) = 0.04898449506018655 absolute error = 4.939813481874555e-09 relative error = 1.008444198037043e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3140000000000001 y[1] (closed_form) = 0.04929800000000004 y[1] (numeric) = 0.04929799500620514 absolute error = 4.993794898433546e-09 relative error = 1.012981236243568e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3150000000000001 y[1] (closed_form) = 0.04961250000000004 y[1] (numeric) = 0.04961249495203954 absolute error = 5.047960500992321e-09 relative error = 1.017477551220422e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3160000000000001 y[1] (closed_form) = 0.04992800000000003 y[1] (numeric) = 0.04992799489768963 absolute error = 5.102310400573185e-09 relative error = 1.021933664591648e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3170000000000001 y[1] (closed_form) = 0.05024450000000004 y[1] (numeric) = 0.05024449484315531 absolute error = 5.15684472901512e-09 relative error = 1.026350093844125e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3180000000000001 y[1] (closed_form) = 0.05056200000000004 y[1] (numeric) = 0.05056199478843644 absolute error = 5.21156359734043e-09 relative error = 1.030727344120174e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3190000000000001 y[1] (closed_form) = 0.05088050000000004 y[1] (numeric) = 0.05088049473353291 absolute error = 5.266467130449204e-09 relative error = 1.035065915321037e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3200000000000001 y[1] (closed_form) = 0.05120000000000004 y[1] (numeric) = 0.05119999467844458 absolute error = 5.321555453241533e-09 relative error = 1.039366299461236e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3210000000000001 y[1] (closed_form) = 0.05152050000000004 y[1] (numeric) = 0.05152049462317135 absolute error = 5.376828683678614e-09 relative error = 1.043628979470038e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3220000000000001 y[1] (closed_form) = 0.05184200000000004 y[1] (numeric) = 0.05184199456771309 absolute error = 5.432286946660536e-09 relative error = 1.047854432055193e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3230000000000001 y[1] (closed_form) = 0.05216450000000004 y[1] (numeric) = 0.05216449451206968 absolute error = 5.487930360148496e-09 relative error = 1.052043125142289e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3240000000000001 y[1] (closed_form) = 0.05248800000000004 y[1] (numeric) = 0.05248799445624099 absolute error = 5.543759055981479e-09 relative error = 1.056195522020552e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3250000000000001 y[1] (closed_form) = 0.05281250000000004 y[1] (numeric) = 0.05281249440022689 absolute error = 5.599773152120679e-09 relative error = 1.060312076141193e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3260000000000001 y[1] (closed_form) = 0.05313800000000004 y[1] (numeric) = 0.05313799434402727 absolute error = 5.655972773466189e-09 relative error = 1.064393235249009e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3270000000000001 y[1] (closed_form) = 0.05346450000000004 y[1] (numeric) = 0.05346449428764199 absolute error = 5.712358044918098e-09 relative error = 1.068439440173965e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3280000000000001 y[1] (closed_form) = 0.05379200000000004 y[1] (numeric) = 0.05379199423107094 absolute error = 5.76892909831539e-09 relative error = 1.072451126248398e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3290000000000001 y[1] (closed_form) = 0.05412050000000004 y[1] (numeric) = 0.05412049417431399 absolute error = 5.825686051619261e-09 relative error = 1.07642871954606e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3300000000000001 y[1] (closed_form) = 0.05445000000000004 y[1] (numeric) = 0.05444999411737101 absolute error = 5.882629029729802e-09 relative error = 1.080372640905381e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3310000000000001 y[1] (closed_form) = 0.05478050000000004 y[1] (numeric) = 0.05478049406024187 absolute error = 5.939758171424891e-09 relative error = 1.084283307276291e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3320000000000001 y[1] (closed_form) = 0.05511200000000004 y[1] (numeric) = 0.05511199400292645 absolute error = 5.997073594665725e-09 relative error = 1.088161125465547e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3330000000000001 y[1] (closed_form) = 0.05544450000000004 y[1] (numeric) = 0.05544449394542461 absolute error = 6.054575431291287e-09 relative error = 1.092006498623179e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3340000000000001 y[1] (closed_form) = 0.05577800000000004 y[1] (numeric) = 0.05577799388773623 absolute error = 6.112263813140562e-09 relative error = 1.095819823790842e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3350000000000001 y[1] (closed_form) = 0.05611250000000004 y[1] (numeric) = 0.05611249382986118 absolute error = 6.170138865113639e-09 relative error = 1.09960149077543e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3360000000000001 y[1] (closed_form) = 0.05644800000000005 y[1] (numeric) = 0.05644799377179933 absolute error = 6.228200719049504e-09 relative error = 1.10335188475225e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3370000000000001 y[1] (closed_form) = 0.05678450000000004 y[1] (numeric) = 0.05678449371355055 absolute error = 6.286449492909352e-09 relative error = 1.107071382667691e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3380000000000001 y[1] (closed_form) = 0.05712200000000005 y[1] (numeric) = 0.05712199365511471 absolute error = 6.344885339348849e-09 relative error = 1.110760361918148e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3390000000000001 y[1] (closed_form) = 0.05746050000000005 y[1] (numeric) = 0.05746049359649168 absolute error = 6.403508369390298e-09 relative error = 1.114419186987634e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3400000000000001 y[1] (closed_form) = 0.05780000000000005 y[1] (numeric) = 0.05779999353768132 absolute error = 6.462318721811577e-09 relative error = 1.118048221766708e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3410000000000001 y[1] (closed_form) = 0.05814050000000005 y[1] (numeric) = 0.05814049347868352 absolute error = 6.521316528451671e-09 relative error = 1.121647823539816e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3420000000000001 y[1] (closed_form) = 0.05848200000000005 y[1] (numeric) = 0.05848199341949812 absolute error = 6.580501928088456e-09 relative error = 1.125218345488945e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3430000000000001 y[1] (closed_form) = 0.05882450000000005 y[1] (numeric) = 0.058824493360125 absolute error = 6.639875045622023e-09 relative error = 1.128760133213545e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3440000000000001 y[1] (closed_form) = 0.05916800000000005 y[1] (numeric) = 0.05916799330056403 absolute error = 6.699436012891358e-09 relative error = 1.132273528409166e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3450000000000001 y[1] (closed_form) = 0.05951250000000005 y[1] (numeric) = 0.05951249324081507 absolute error = 6.759184982552124e-09 relative error = 1.135758871254294e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3460000000000001 y[1] (closed_form) = 0.05985800000000005 y[1] (numeric) = 0.05985799318087798 absolute error = 6.819122065626626e-09 relative error = 1.139216489964018e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3470000000000001 y[1] (closed_form) = 0.06020450000000005 y[1] (numeric) = 0.06020449312075264 absolute error = 6.879247407831635e-09 relative error = 1.142646713755887e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3480000000000001 y[1] (closed_form) = 0.06055200000000005 y[1] (numeric) = 0.0605519930604389 absolute error = 6.939561147945028e-09 relative error = 1.146049865891304e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3490000000000001 y[1] (closed_form) = 0.06090050000000005 y[1] (numeric) = 0.06090049299993663 absolute error = 7.000063417805791e-09 relative error = 1.149426263791887e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3500000000000001 y[1] (closed_form) = 0.06125000000000005 y[1] (numeric) = 0.06124999293924569 absolute error = 7.060754356191801e-09 relative error = 1.152776221419069e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3510000000000001 y[1] (closed_form) = 0.06160050000000005 y[1] (numeric) = 0.06160049287836595 absolute error = 7.121634101880936e-09 relative error = 1.156100048194565e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3520000000000001 y[1] (closed_form) = 0.06195200000000005 y[1] (numeric) = 0.06195199281729726 absolute error = 7.182702786712181e-09 relative error = 1.159398047958448e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3530000000000001 y[1] (closed_form) = 0.06230450000000005 y[1] (numeric) = 0.06230449275603949 absolute error = 7.243960563341201e-09 relative error = 1.1626705235322e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3540000000000001 y[1] (closed_form) = 0.06265800000000005 y[1] (numeric) = 0.0626579926945925 absolute error = 7.305407542790299e-09 relative error = 1.165917766732148e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3550000000000001 y[1] (closed_form) = 0.06301250000000005 y[1] (numeric) = 0.06301249263295615 absolute error = 7.367043905470716e-09 relative error = 1.169140076250063e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3560000000000001 y[1] (closed_form) = 0.06336800000000005 y[1] (numeric) = 0.06336799257113029 absolute error = 7.428869755465861e-09 relative error = 1.172337734418927e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3570000000000002 y[1] (closed_form) = 0.06372450000000006 y[1] (numeric) = 0.0637244925091148 absolute error = 7.490885259309188e-09 relative error = 1.175511029401436e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3580000000000002 y[1] (closed_form) = 0.06408200000000006 y[1] (numeric) = 0.06408199244690953 absolute error = 7.553090528022999e-09 relative error = 1.17866023657548e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3590000000000002 y[1] (closed_form) = 0.06444050000000005 y[1] (numeric) = 0.06444049238451433 absolute error = 7.615485728140747e-09 relative error = 1.181785636073702e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3600000000000002 y[1] (closed_form) = 0.06480000000000005 y[1] (numeric) = 0.06479999232192907 absolute error = 7.678070984562524e-09 relative error = 1.184887497617672e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3610000000000002 y[1] (closed_form) = 0.06516050000000005 y[1] (numeric) = 0.0651604922591536 absolute error = 7.740846449943994e-09 relative error = 1.18796609141182e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3620000000000002 y[1] (closed_form) = 0.06552200000000005 y[1] (numeric) = 0.06552199219618778 absolute error = 7.803812276940825e-09 relative error = 1.191021683852877e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3630000000000002 y[1] (closed_form) = 0.06588450000000005 y[1] (numeric) = 0.06588449213303146 absolute error = 7.866968590453105e-09 relative error = 1.194054533380856e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3640000000000002 y[1] (closed_form) = 0.06624800000000006 y[1] (numeric) = 0.0662479920696845 absolute error = 7.930315557014289e-09 relative error = 1.197064901131247e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3650000000000002 y[1] (closed_form) = 0.06661250000000006 y[1] (numeric) = 0.06661249200614676 absolute error = 7.993853301524467e-09 relative error = 1.200053038322306e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3660000000000002 y[1] (closed_form) = 0.06697800000000005 y[1] (numeric) = 0.06697799194241809 absolute error = 8.057581962761518e-09 relative error = 1.203019194774629e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3670000000000002 y[1] (closed_form) = 0.06734450000000006 y[1] (numeric) = 0.06734449187849834 absolute error = 8.121501721136681e-09 relative error = 1.20596362303331e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3680000000000002 y[1] (closed_form) = 0.06771200000000006 y[1] (numeric) = 0.06771199181438736 absolute error = 8.185612701550049e-09 relative error = 1.208886563910391e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3690000000000002 y[1] (closed_form) = 0.06808050000000006 y[1] (numeric) = 0.06808049175008503 absolute error = 8.249915028901711e-09 relative error = 1.21178825491906e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3700000000000002 y[1] (closed_form) = 0.06845000000000007 y[1] (numeric) = 0.06844999168559117 absolute error = 8.314408897480696e-09 relative error = 1.214668940464673e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3710000000000002 y[1] (closed_form) = 0.06882050000000006 y[1] (numeric) = 0.06882049162090564 absolute error = 8.379094418309307e-09 relative error = 1.217528849443015e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3720000000000002 y[1] (closed_form) = 0.06919200000000006 y[1] (numeric) = 0.0691919915560283 absolute error = 8.443971757920998e-09 relative error = 1.220368215678256e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3730000000000002 y[1] (closed_form) = 0.06956450000000006 y[1] (numeric) = 0.069564491490959 absolute error = 8.509041055093647e-09 relative error = 1.223187265788389e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3740000000000002 y[1] (closed_form) = 0.06993800000000006 y[1] (numeric) = 0.06993799142569759 absolute error = 8.574302462482919e-09 relative error = 1.225986225297108e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3750000000000002 y[1] (closed_form) = 0.07031250000000007 y[1] (numeric) = 0.07031249136024392 absolute error = 8.639756146622268e-09 relative error = 1.228765318630721e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3760000000000002 y[1] (closed_form) = 0.07068800000000006 y[1] (numeric) = 0.07068799129459784 absolute error = 8.705402218533997e-09 relative error = 1.231524759299172e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3770000000000002 y[1] (closed_form) = 0.07106450000000006 y[1] (numeric) = 0.07106449122875919 absolute error = 8.771240872507136e-09 relative error = 1.234264769682067e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3780000000000002 y[1] (closed_form) = 0.07144200000000006 y[1] (numeric) = 0.07144199116272781 absolute error = 8.837272247319561e-09 relative error = 1.236985561339206e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3790000000000002 y[1] (closed_form) = 0.07182050000000006 y[1] (numeric) = 0.07182049109650357 absolute error = 8.903496495626939e-09 relative error = 1.239687344926161e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3800000000000002 y[1] (closed_form) = 0.07220000000000007 y[1] (numeric) = 0.0721999910300863 absolute error = 8.969913770084936e-09 relative error = 1.242370328266611e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3810000000000002 y[1] (closed_form) = 0.07258050000000006 y[1] (numeric) = 0.07258049096347585 absolute error = 9.03652420947143e-09 relative error = 1.245034714485492e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3820000000000002 y[1] (closed_form) = 0.07296200000000007 y[1] (numeric) = 0.07296199089667207 absolute error = 9.103327994197663e-09 relative error = 1.247680709711583e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3830000000000002 y[1] (closed_form) = 0.07334450000000006 y[1] (numeric) = 0.0733444908296748 absolute error = 9.170325263041512e-09 relative error = 1.250308511618663e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3840000000000002 y[1] (closed_form) = 0.07372800000000007 y[1] (numeric) = 0.07372799076248389 absolute error = 9.237516182536432e-09 relative error = 1.25291831902892e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3850000000000002 y[1] (closed_form) = 0.07411250000000007 y[1] (numeric) = 0.07411249069509918 absolute error = 9.304900891460299e-09 relative error = 1.255510324366374e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3860000000000002 y[1] (closed_form) = 0.07449800000000006 y[1] (numeric) = 0.07449799062752051 absolute error = 9.372479556346569e-09 relative error = 1.258084721247089e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3870000000000002 y[1] (closed_form) = 0.07488450000000006 y[1] (numeric) = 0.07488449055974773 absolute error = 9.440252329850907e-09 relative error = 1.260641698863036e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3880000000000002 y[1] (closed_form) = 0.07527200000000007 y[1] (numeric) = 0.07527199049178068 absolute error = 9.508219392384554e-09 relative error = 1.263181447601305e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3890000000000002 y[1] (closed_form) = 0.07566050000000007 y[1] (numeric) = 0.07566049042361921 absolute error = 9.5763808688476e-09 relative error = 1.265704147983108e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3900000000000002 y[1] (closed_form) = 0.07605000000000008 y[1] (numeric) = 0.07604999035526314 absolute error = 9.644736939651288e-09 relative error = 1.268209985489977e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3910000000000002 y[1] (closed_form) = 0.07644050000000006 y[1] (numeric) = 0.07644049028671232 absolute error = 9.713287743573495e-09 relative error = 1.270699137704945e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3920000000000002 y[1] (closed_form) = 0.07683200000000007 y[1] (numeric) = 0.07683199021796659 absolute error = 9.782033474903251e-09 relative error = 1.273171787133388e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3930000000000002 y[1] (closed_form) = 0.07722450000000007 y[1] (numeric) = 0.0772244901490258 absolute error = 9.850974272418433e-09 relative error = 1.275628106678376e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3940000000000002 y[1] (closed_form) = 0.07761800000000008 y[1] (numeric) = 0.07761799007988977 absolute error = 9.920110302652496e-09 relative error = 1.278068270588328e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3950000000000002 y[1] (closed_form) = 0.07801250000000007 y[1] (numeric) = 0.07801249001055836 absolute error = 9.989441704383317e-09 relative error = 1.280492447285154e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3960000000000002 y[1] (closed_form) = 0.07840800000000007 y[1] (numeric) = 0.0784079899410314 absolute error = 1.005896867189993e-08 relative error = 1.282900810108652e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3970000000000002 y[1] (closed_form) = 0.07880450000000007 y[1] (numeric) = 0.07880448987130872 absolute error = 1.01286913439802e-08 relative error = 1.285293523083097e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3980000000000002 y[1] (closed_form) = 0.07920200000000008 y[1] (numeric) = 0.07920198980139016 absolute error = 1.019860991491317e-08 relative error = 1.287670755146734e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.3990000000000002 y[1] (closed_form) = 0.07960050000000007 y[1] (numeric) = 0.07960048973127555 absolute error = 1.026872452347671e-08 relative error = 1.290032666060729e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4000000000000002 y[1] (closed_form) = 0.08000000000000007 y[1] (numeric) = 0.07999998966096473 absolute error = 1.033903533620428e-08 relative error = 1.292379417025534e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4010000000000002 y[1] (closed_form) = 0.08040050000000007 y[1] (numeric) = 0.08040048959045754 absolute error = 1.040954253350712e-08 relative error = 1.294711168899088e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4020000000000002 y[1] (closed_form) = 0.08080200000000008 y[1] (numeric) = 0.0808019895197538 absolute error = 1.048024628191868e-08 relative error = 1.297028078750361e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4030000000000002 y[1] (closed_form) = 0.08120450000000008 y[1] (numeric) = 0.08120448944885335 absolute error = 1.055114673409463e-08 relative error = 1.299330299933454e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4040000000000002 y[1] (closed_form) = 0.08160800000000008 y[1] (numeric) = 0.08160798937775603 absolute error = 1.062224405656842e-08 relative error = 1.30161798556127e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4050000000000002 y[1] (closed_form) = 0.08201250000000007 y[1] (numeric) = 0.08201248930646166 absolute error = 1.06935384158735e-08 relative error = 1.303891286800609e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4060000000000002 y[1] (closed_form) = 0.08241800000000007 y[1] (numeric) = 0.08241798923497007 absolute error = 1.076503000629891e-08 relative error = 1.306150356269129e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4070000000000002 y[1] (closed_form) = 0.08282450000000008 y[1] (numeric) = 0.0828244891632811 absolute error = 1.083671898050032e-08 relative error = 1.308395339603657e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4080000000000002 y[1] (closed_form) = 0.08323200000000008 y[1] (numeric) = 0.08323198909139458 absolute error = 1.090860550501116e-08 relative error = 1.310626382282193e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4090000000000002 y[1] (closed_form) = 0.08364050000000008 y[1] (numeric) = 0.08364048901931034 absolute error = 1.098068973248711e-08 relative error = 1.31284362629194e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4100000000000002 y[1] (closed_form) = 0.08405000000000008 y[1] (numeric) = 0.08404998894702821 absolute error = 1.1052971871095e-08 relative error = 1.315047218452705e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4110000000000002 y[1] (closed_form) = 0.08446050000000008 y[1] (numeric) = 0.08446048887454802 absolute error = 1.112545205961268e-08 relative error = 1.31723729549466e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4120000000000002 y[1] (closed_form) = 0.08487200000000009 y[1] (numeric) = 0.08487198880186958 absolute error = 1.119813050620699e-08 relative error = 1.319414000637075e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4130000000000002 y[1] (closed_form) = 0.08528450000000008 y[1] (numeric) = 0.08528448872899273 absolute error = 1.12710073496558e-08 relative error = 1.321577467143009e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4140000000000002 y[1] (closed_form) = 0.08569800000000008 y[1] (numeric) = 0.08569798865591731 absolute error = 1.134408277037036e-08 relative error = 1.323727831497858e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4150000000000002 y[1] (closed_form) = 0.08611250000000008 y[1] (numeric) = 0.08611248858264313 absolute error = 1.141735694876189e-08 relative error = 1.325865228481566e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4160000000000002 y[1] (closed_form) = 0.08652800000000009 y[1] (numeric) = 0.08652798850917001 absolute error = 1.149083007911944e-08 relative error = 1.327989792797641e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4170000000000002 y[1] (closed_form) = 0.08694450000000009 y[1] (numeric) = 0.08694448843549779 absolute error = 1.156450230022088e-08 relative error = 1.330101651078661e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4180000000000002 y[1] (closed_form) = 0.08736200000000009 y[1] (numeric) = 0.08736198836162629 absolute error = 1.163837380635524e-08 relative error = 1.332200934772009e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4190000000000002 y[1] (closed_form) = 0.08778050000000008 y[1] (numeric) = 0.08778048828755532 absolute error = 1.171244476405597e-08 relative error = 1.334287770524885e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4200000000000002 y[1] (closed_form) = 0.08820000000000008 y[1] (numeric) = 0.08819998821328472 absolute error = 1.178671536761211e-08 relative error = 1.336362286577336e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4210000000000002 y[1] (closed_form) = 0.08862050000000009 y[1] (numeric) = 0.0886204881388143 absolute error = 1.18611857835571e-08 relative error = 1.338424606446262e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4220000000000002 y[1] (closed_form) = 0.08904200000000009 y[1] (numeric) = 0.08904198806414389 absolute error = 1.193585620617998e-08 relative error = 1.340474855257067e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4230000000000002 y[1] (closed_form) = 0.08946450000000009 y[1] (numeric) = 0.0894644879892733 absolute error = 1.201072678813642e-08 relative error = 1.342513151935841e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4240000000000002 y[1] (closed_form) = 0.08988800000000009 y[1] (numeric) = 0.08988798791420236 absolute error = 1.208579773759322e-08 relative error = 1.344539620148763e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4250000000000002 y[1] (closed_form) = 0.09031250000000009 y[1] (numeric) = 0.09031248783893088 absolute error = 1.216106920720605e-08 relative error = 1.346554375884406e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4260000000000002 y[1] (closed_form) = 0.0907380000000001 y[1] (numeric) = 0.09073798776345869 absolute error = 1.223654140514174e-08 relative error = 1.348557539855598e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4270000000000002 y[1] (closed_form) = 0.09116450000000009 y[1] (numeric) = 0.09116448768778561 absolute error = 1.231221448405595e-08 relative error = 1.350549225197959e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4280000000000002 y[1] (closed_form) = 0.09159200000000009 y[1] (numeric) = 0.09159198761191145 absolute error = 1.23880886382377e-08 relative error = 1.352529548239769e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4290000000000002 y[1] (closed_form) = 0.09202050000000009 y[1] (numeric) = 0.09202048753583603 absolute error = 1.246416406197604e-08 relative error = 1.354498623890983e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4300000000000002 y[1] (closed_form) = 0.09245000000000009 y[1] (numeric) = 0.09244998745955915 absolute error = 1.254044093568218e-08 relative error = 1.356456564162485e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4310000000000002 y[1] (closed_form) = 0.09288050000000009 y[1] (numeric) = 0.09288048738308065 absolute error = 1.261691943976739e-08 relative error = 1.358403479715051e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4320000000000002 y[1] (closed_form) = 0.09331200000000009 y[1] (numeric) = 0.09331198730640033 absolute error = 1.26935997546429e-08 relative error = 1.360339479878568e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4330000000000002 y[1] (closed_form) = 0.09374450000000009 y[1] (numeric) = 0.09374448722951802 absolute error = 1.277048207459774e-08 relative error = 1.362264674151308e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4340000000000002 y[1] (closed_form) = 0.09417800000000009 y[1] (numeric) = 0.09417798715243351 absolute error = 1.284756658004316e-08 relative error = 1.364179169237311e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4350000000000002 y[1] (closed_form) = 0.0946125000000001 y[1] (numeric) = 0.09461248707514665 absolute error = 1.292485345139038e-08 relative error = 1.366083070565768e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4360000000000002 y[1] (closed_form) = 0.09504800000000009 y[1] (numeric) = 0.09504798699765721 absolute error = 1.300234288292845e-08 relative error = 1.367976483769089e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4370000000000002 y[1] (closed_form) = 0.0954845000000001 y[1] (numeric) = 0.09548448691996503 absolute error = 1.308003506894639e-08 relative error = 1.369859513213808e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4380000000000002 y[1] (closed_form) = 0.09592200000000009 y[1] (numeric) = 0.0959219868420699 absolute error = 1.315793018985545e-08 relative error = 1.371732260571656e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4390000000000002 y[1] (closed_form) = 0.0963605000000001 y[1] (numeric) = 0.09636048676397165 absolute error = 1.323602845382243e-08 relative error = 1.373594829190635e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4400000000000002 y[1] (closed_form) = 0.09680000000000009 y[1] (numeric) = 0.09679998668567008 absolute error = 1.331433001350302e-08 relative error = 1.375447315444525e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4410000000000002 y[1] (closed_form) = 0.0972405000000001 y[1] (numeric) = 0.097240486607165 absolute error = 1.339283510481959e-08 relative error = 1.377289823151832e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4420000000000002 y[1] (closed_form) = 0.0976820000000001 y[1] (numeric) = 0.09768198652845622 absolute error = 1.347154388042782e-08 relative error = 1.379122446349154e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4430000000000002 y[1] (closed_form) = 0.0981245000000001 y[1] (numeric) = 0.09812448644954354 absolute error = 1.35504565623723e-08 relative error = 1.380945285058501e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4440000000000002 y[1] (closed_form) = 0.0985680000000001 y[1] (numeric) = 0.09856798637042677 absolute error = 1.362957333106429e-08 relative error = 1.382758433879584e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4450000000000002 y[1] (closed_form) = 0.0990125000000001 y[1] (numeric) = 0.09901248629110572 absolute error = 1.370889438079281e-08 relative error = 1.384561987707895e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4460000000000002 y[1] (closed_form) = 0.0994580000000001 y[1] (numeric) = 0.0994579862115802 absolute error = 1.378841990584689e-08 relative error = 1.38635604032324e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4470000000000002 y[1] (closed_form) = 0.0999045000000001 y[1] (numeric) = 0.09990448613185 absolute error = 1.386815010051556e-08 relative error = 1.388140684405162e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4480000000000002 y[1] (closed_form) = 0.1003520000000001 y[1] (numeric) = 0.1003519860519149 absolute error = 1.394808515908785e-08 relative error = 1.389916011548134e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4490000000000002 y[1] (closed_form) = 0.1008005000000001 y[1] (numeric) = 0.1008004859717748 absolute error = 1.402822527585279e-08 relative error = 1.391682112276504e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4500000000000002 y[1] (closed_form) = 0.1012500000000001 y[1] (numeric) = 0.1012499858914294 absolute error = 1.410857065897719e-08 relative error = 1.393439077429845e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4510000000000002 y[1] (closed_form) = 0.1017005000000001 y[1] (numeric) = 0.1017004858108786 absolute error = 1.418912150275009e-08 relative error = 1.395186995417926e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4520000000000002 y[1] (closed_form) = 0.1021520000000001 y[1] (numeric) = 0.1021519857301221 absolute error = 1.426987798758272e-08 relative error = 1.396925952265517e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4530000000000002 y[1] (closed_form) = 0.1026045000000001 y[1] (numeric) = 0.1026044856491598 absolute error = 1.435084034939749e-08 relative error = 1.398656038419121e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4540000000000002 y[1] (closed_form) = 0.1030580000000001 y[1] (numeric) = 0.1030579855679914 absolute error = 1.443200875472783e-08 relative error = 1.400377336521941e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4550000000000002 y[1] (closed_form) = 0.1035125000000001 y[1] (numeric) = 0.1035124854866167 absolute error = 1.451338341174058e-08 relative error = 1.40208993230195e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4560000000000002 y[1] (closed_form) = 0.1039680000000001 y[1] (numeric) = 0.1039679854050356 absolute error = 1.459496452860254e-08 relative error = 1.403793910491932e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4570000000000002 y[1] (closed_form) = 0.1044245000000001 y[1] (numeric) = 0.1044244853232478 absolute error = 1.467675231348053e-08 relative error = 1.405489354843022e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4580000000000002 y[1] (closed_form) = 0.1048820000000001 y[1] (numeric) = 0.1048819852412532 absolute error = 1.475874696066359e-08 relative error = 1.407176346814856e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4590000000000002 y[1] (closed_form) = 0.1053405000000001 y[1] (numeric) = 0.1053404851590515 absolute error = 1.484094866444075e-08 relative error = 1.408854966934914e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4600000000000002 y[1] (closed_form) = 0.1058000000000001 y[1] (numeric) = 0.1057999850766425 absolute error = 1.492335764685659e-08 relative error = 1.410525297434459e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4610000000000002 y[1] (closed_form) = 0.1062605000000001 y[1] (numeric) = 0.106260484994026 absolute error = 1.500597410220017e-08 relative error = 1.412187416979983e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4620000000000002 y[1] (closed_form) = 0.1067220000000001 y[1] (numeric) = 0.1067219849112019 absolute error = 1.50887982247605e-08 relative error = 1.413841403343311e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4630000000000002 y[1] (closed_form) = 0.1071845000000001 y[1] (numeric) = 0.1071844848281699 absolute error = 1.517183025045998e-08 relative error = 1.415487337297834e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4640000000000002 y[1] (closed_form) = 0.1076480000000001 y[1] (numeric) = 0.1076479847449297 absolute error = 1.525507037358764e-08 relative error = 1.417125294811573e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4650000000000002 y[1] (closed_form) = 0.1081125000000001 y[1] (numeric) = 0.1081124846614813 absolute error = 1.533851878843251e-08 relative error = 1.418755350993872e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4660000000000002 y[1] (closed_form) = 0.1085780000000001 y[1] (numeric) = 0.1085779845778244 absolute error = 1.542217573091698e-08 relative error = 1.420377583941218e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4670000000000002 y[1] (closed_form) = 0.1090445000000001 y[1] (numeric) = 0.1090444844939587 absolute error = 1.550604138145228e-08 relative error = 1.421992065757766e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4680000000000002 y[1] (closed_form) = 0.1095120000000001 y[1] (numeric) = 0.1095119844098841 absolute error = 1.559011597596083e-08 relative error = 1.423598872814012e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4690000000000003 y[1] (closed_form) = 0.1099805000000001 y[1] (numeric) = 0.1099804843256004 absolute error = 1.567439969485385e-08 relative error = 1.425198075554651e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4700000000000003 y[1] (closed_form) = 0.1104500000000001 y[1] (numeric) = 0.1104499842411073 absolute error = 1.575889277405373e-08 relative error = 1.426789748669418e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4710000000000003 y[1] (closed_form) = 0.1109205000000001 y[1] (numeric) = 0.1109204841564047 absolute error = 1.584359540784952e-08 relative error = 1.428373962238676e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4720000000000003 y[1] (closed_form) = 0.1113920000000001 y[1] (numeric) = 0.1113919840714923 absolute error = 1.59285078321636e-08 relative error = 1.429950789299373e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4730000000000003 y[1] (closed_form) = 0.1118645000000001 y[1] (numeric) = 0.1118644839863699 absolute error = 1.601363024128499e-08 relative error = 1.431520298332802e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4740000000000003 y[1] (closed_form) = 0.1123380000000001 y[1] (numeric) = 0.1123379839010373 absolute error = 1.609896285725831e-08 relative error = 1.433082559530907e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4750000000000003 y[1] (closed_form) = 0.1128125000000001 y[1] (numeric) = 0.1128124838154942 absolute error = 1.618450590212817e-08 relative error = 1.434637642293908e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4760000000000003 y[1] (closed_form) = 0.1132880000000001 y[1] (numeric) = 0.1132879837297405 absolute error = 1.627025958406136e-08 relative error = 1.436185614015725e-05 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4770000000000003 y[1] (closed_form) = 0.1137645000000001 y[1] (numeric) = 0.113764483643776 absolute error = 1.635622412510251e-08 relative error = 1.437726542559629e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4780000000000003 y[1] (closed_form) = 0.1142420000000001 y[1] (numeric) = 0.1142419835576004 absolute error = 1.644239971954065e-08 relative error = 1.439260492598224e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4790000000000003 y[1] (closed_form) = 0.1147205000000001 y[1] (numeric) = 0.1147204834712135 absolute error = 1.652878661717594e-08 relative error = 1.440787532932294e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4800000000000003 y[1] (closed_form) = 0.1152000000000001 y[1] (numeric) = 0.1151999833846151 absolute error = 1.661538501229742e-08 relative error = 1.442307726761928e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4810000000000003 y[1] (closed_form) = 0.1156805000000001 y[1] (numeric) = 0.115680483297805 absolute error = 1.670219515470528e-08 relative error = 1.443821141394207e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4820000000000003 y[1] (closed_form) = 0.1161620000000001 y[1] (numeric) = 0.1161619832107829 absolute error = 1.678921723868854e-08 relative error = 1.44532783859511e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4830000000000003 y[1] (closed_form) = 0.1166445000000001 y[1] (numeric) = 0.1166444831235486 absolute error = 1.68764514862918e-08 relative error = 1.446827881836845e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4840000000000003 y[1] (closed_form) = 0.1171280000000001 y[1] (numeric) = 0.117127983036102 absolute error = 1.696389813343746e-08 relative error = 1.448321335072523e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4850000000000003 y[1] (closed_form) = 0.1176125000000001 y[1] (numeric) = 0.1176124829484427 absolute error = 1.705155740217013e-08 relative error = 1.44980826036094e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4860000000000003 y[1] (closed_form) = 0.1180980000000001 y[1] (numeric) = 0.1180979828605706 absolute error = 1.713942950065661e-08 relative error = 1.451288717900099e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4870000000000003 y[1] (closed_form) = 0.1185845000000001 y[1] (numeric) = 0.1185844827724855 absolute error = 1.722751466481931e-08 relative error = 1.452762769571006e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4880000000000003 y[1] (closed_form) = 0.1190720000000001 y[1] (numeric) = 0.119071982684187 absolute error = 1.731581311670283e-08 relative error = 1.454230475401674e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4890000000000003 y[1] (closed_form) = 0.1195605000000001 y[1] (numeric) = 0.119560482595675 absolute error = 1.740432507835177e-08 relative error = 1.45569189476054e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4900000000000003 y[1] (closed_form) = 0.1200500000000001 y[1] (numeric) = 0.1200499825069493 absolute error = 1.749305079956631e-08 relative error = 1.457147088676909e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4910000000000003 y[1] (closed_form) = 0.1205405000000001 y[1] (numeric) = 0.1205404824180096 absolute error = 1.758199048851328e-08 relative error = 1.458596114045757e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4920000000000003 y[1] (closed_form) = 0.1210320000000001 y[1] (numeric) = 0.1210319823288558 absolute error = 1.767114438111506e-08 relative error = 1.460039029439738e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4930000000000003 y[1] (closed_form) = 0.1215245000000001 y[1] (numeric) = 0.1215244822394874 absolute error = 1.776051268553847e-08 relative error = 1.46147589050261e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4940000000000003 y[1] (closed_form) = 0.1220180000000001 y[1] (numeric) = 0.1220179821499045 absolute error = 1.785009566546147e-08 relative error = 1.4629067568278e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4950000000000003 y[1] (closed_form) = 0.1225125000000001 y[1] (numeric) = 0.1225124820601066 absolute error = 1.793989351517311e-08 relative error = 1.464331681679265e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4960000000000003 y[1] (closed_form) = 0.1230080000000001 y[1] (numeric) = 0.1230079819700936 absolute error = 1.802990648447356e-08 relative error = 1.465750722267945e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4970000000000003 y[1] (closed_form) = 0.1235045000000001 y[1] (numeric) = 0.1235044818798653 absolute error = 1.812013482316299e-08 relative error = 1.467163935173453e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4980000000000003 y[1] (closed_form) = 0.1240020000000001 y[1] (numeric) = 0.1240019817894214 absolute error = 1.821057872553045e-08 relative error = 1.468571371875488e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 TOP MAIN SOLVE Loop x[1] = -0.4990000000000003 y[1] (closed_form) = 0.1245005000000001 y[1] (numeric) = 0.1245004816987617 absolute error = 1.830123845525389e-08 relative error = 1.469973088883488e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = -0.001 Finished! diff ( y , x , 1 ) = arcsin ( sin ( x ) ) ; Iterations = 300 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %