##############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; ELIMINATED in preodein.rb ! #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 # 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=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 def exact_soln_y (x) x = c(x) return(c(x)*c(x)/c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.201 y[1] (closed_form) 0.020200500000000003 y[1] (numeric) 0.020200499966173333 absolute error 3.382667063123179e-11 relative error 1.6745462058479635e-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) 0.020402000000000003 y[1] (numeric) 0.02040199993217311 absolute error 6.782689340734116e-11 relative error 3.3245217825380427e-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) 0.020604499897999267 absolute error 1.0200073424782019e-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] -0.20400000000000001 y[1] (closed_form) 0.020808000000000004 y[1] (numeric) 0.020807999863651734 absolute error 1.3634826948050183e-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] -0.20500000000000002 y[1] (closed_form) 0.021012500000000003 y[1] (numeric) 0.021012499829130435 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] -0.20600000000000002 y[1] (closed_form) 0.021218000000000004 y[1] (numeric) 0.0212179997944353 absolute error 2.0556470414767603e-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] -0.20700000000000002 y[1] (closed_form) 0.021424500000000003 y[1] (numeric) 0.021424499759566257 absolute error 2.404337458294936e-10 relative error 1.1222373723050414e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.20800000000000002 y[1] (closed_form) 0.021632000000000005 y[1] (numeric) 0.021631999724523232 absolute error 2.754767733370578e-10 relative error 1.2734688116542978e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.20900000000000002 y[1] (closed_form) 0.021840500000000002 y[1] (numeric) 0.021840499689306157 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] -0.21000000000000002 y[1] (closed_form) 0.022050000000000004 y[1] (numeric) 0.022049999653914954 absolute error 3.4608504950739416e-10 relative error 1.5695467097841002e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21100000000000002 y[1] (closed_form) 0.022260500000000006 y[1] (numeric) 0.022260499618349548 absolute error 3.8165045776472617e-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] -0.21200000000000002 y[1] (closed_form) 0.022472000000000006 y[1] (numeric) 0.022471999582609866 absolute error 4.1739013981190176e-10 relative error 1.8573786926481917e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21300000000000002 y[1] (closed_form) 0.022684500000000003 y[1] (numeric) 0.022684499546695835 absolute error 4.5330416850730693e-10 relative error 1.9982991404144103e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21400000000000002 y[1] (closed_form) 0.022898000000000005 y[1] (numeric) 0.022897999510607378 absolute error 4.893926271176685e-10 relative error 2.1372723692797118e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21500000000000002 y[1] (closed_form) 0.023112500000000005 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] -0.21600000000000003 y[1] (closed_form) 0.023328000000000005 y[1] (numeric) 0.023327999437906886 absolute error 5.62093118577911e-10 relative error 2.4095212559066824e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21700000000000003 y[1] (closed_form) 0.023544500000000006 y[1] (numeric) 0.0235444994012947 absolute error 5.987053075529047e-10 relative error 2.5428669436722145e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21800000000000003 y[1] (closed_form) 0.023762000000000005 y[1] (numeric) 0.023761999364507784 absolute error 6.354922213458458e-10 relative error 2.6744054429166135e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.21900000000000003 y[1] (closed_form) 0.023980500000000005 y[1] (numeric) 0.023980499327546062 absolute error 6.724539432234611e-10 relative error 2.8041698180749397e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.22000000000000003 y[1] (closed_form) 0.024200000000000006 y[1] (numeric) 0.024199999290409457 absolute error 7.095905495135835e-10 relative error 2.9321923533619145e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.22100000000000003 y[1] (closed_form) 0.024420500000000008 y[1] (numeric) 0.024420499253097888 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] -0.22200000000000003 y[1] (closed_form) 0.024642000000000008 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] -0.22300000000000003 y[1] (closed_form) 0.024864500000000008 y[1] (numeric) 0.024864499177949553 absolute error 8.220504554845576e-10 relative error 3.3061209977460127e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.22400000000000003 y[1] (closed_form) 0.025088000000000006 y[1] (numeric) 0.025087999140112626 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] -0.22500000000000003 y[1] (closed_form) 0.02531250000000001 y[1] (numeric) 0.025312499102100424 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] -0.22600000000000003 y[1] (closed_form) 0.02553800000000001 y[1] (numeric) 0.025537999063912863 absolute error 9.360871452979147e-10 relative error 3.6654677159445313e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.22700000000000004 y[1] (closed_form) 0.02576450000000001 y[1] (numeric) 0.025764499025549868 absolute error 9.744501421049545e-10 relative error 3.7821426462960826e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.22800000000000004 y[1] (closed_form) 0.025992000000000008 y[1] (numeric) 0.025991998987011353 absolute error 1.0129886547638467e-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] -0.22900000000000004 y[1] (closed_form) 0.026220500000000008 y[1] (numeric) 0.026220498948297238 absolute error 1.051702770010765e-09 relative error 4.0109943365334935e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.23000000000000004 y[1] (closed_form) 0.026450000000000008 y[1] (numeric) 0.026449998909407444 absolute error 1.0905925641735426e-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] -0.23100000000000004 y[1] (closed_form) 0.02668050000000001 y[1] (numeric) 0.026680498870341886 absolute error 1.129658123988353e-09 relative error 4.2340215662688204e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.23200000000000004 y[1] (closed_form) 0.02691200000000001 y[1] (numeric) 0.026911998831100483 absolute error 1.1688995257830292e-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] -0.23300000000000004 y[1] (closed_form) 0.02714450000000001 y[1] (numeric) 0.027144498791683153 absolute error 1.2083168562937452e-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] -0.23400000000000004 y[1] (closed_form) 0.02737800000000001 y[1] (numeric) 0.02737799875208981 absolute error 1.2479101987872276e-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] -0.23500000000000004 y[1] (closed_form) 0.02761250000000001 y[1] (numeric) 0.027612498712320376 absolute error 1.2876796330607565e-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] -0.23600000000000004 y[1] (closed_form) 0.02784800000000001 y[1] (numeric) 0.027847998672374762 absolute error 1.3276252493199525e-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] -0.23700000000000004 y[1] (closed_form) 0.02808450000000001 y[1] (numeric) 0.028084498632252885 absolute error 1.3677471238926486e-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] -0.23800000000000004 y[1] (closed_form) 0.02832200000000001 y[1] (numeric) 0.02832199859195466 absolute error 1.4080453504539125e-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] -0.23900000000000005 y[1] (closed_form) 0.02856050000000001 y[1] (numeric) 0.02856049855148 absolute error 1.4485200088010242e-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] -0.24000000000000005 y[1] (closed_form) 0.02880000000000001 y[1] (numeric) 0.028799998510828824 absolute error 1.4891711856701573e-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] -0.24100000000000005 y[1] (closed_form) 0.02904050000000001 y[1] (numeric) 0.029040498470001043 absolute error 1.5299989677974857e-09 relative error 5.2685007758044285e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.24200000000000005 y[1] (closed_form) 0.029282000000000013 y[1] (numeric) 0.02928199842899657 absolute error 1.5710034419191832e-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] -0.24300000000000005 y[1] (closed_form) 0.029524500000000013 y[1] (numeric) 0.02952449838781532 absolute error 1.6121846913019766e-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] -0.24400000000000005 y[1] (closed_form) 0.029768000000000013 y[1] (numeric) 0.029767998346457207 absolute error 1.6535428061514867e-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] -0.24500000000000005 y[1] (closed_form) 0.03001250000000001 y[1] (numeric) 0.030012498304922138 absolute error 1.6950778732038874e-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] -0.24600000000000005 y[1] (closed_form) 0.030258000000000014 y[1] (numeric) 0.030257998263210028 absolute error 1.7367899861342462e-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] -0.24700000000000005 y[1] (closed_form) 0.030504500000000014 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] -0.24800000000000005 y[1] (closed_form) 0.030752000000000012 y[1] (numeric) 0.030751998179254333 absolute error 1.8207456792262988e-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] -0.24900000000000005 y[1] (closed_form) 0.031000500000000014 y[1] (numeric) 0.031000498137010567 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] -0.25000000000000006 y[1] (closed_form) 0.031250000000000014 y[1] (numeric) 0.031249998094589403 absolute error 1.9054106105420576e-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] -0.25100000000000006 y[1] (closed_form) 0.031500500000000015 y[1] (numeric) 0.031500498051990754 absolute error 1.9480092608437083e-09 relative error 6.1840582239764684e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.25200000000000006 y[1] (closed_form) 0.031752000000000016 y[1] (numeric) 0.03175199800921452 absolute error 1.9907854947875947e-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] -0.25300000000000006 y[1] (closed_form) 0.03200450000000001 y[1] (numeric) 0.03200449796626062 absolute error 2.0337393921709968e-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] -0.25400000000000006 y[1] (closed_form) 0.032258000000000016 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] -0.25500000000000006 y[1] (closed_form) 0.032512500000000014 y[1] (numeric) 0.03251249787981945 absolute error 2.1201805658344064e-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] -0.25600000000000006 y[1] (closed_form) 0.03276800000000001 y[1] (numeric) 0.03276799783633199 absolute error 2.1636680225256555e-09 relative error 6.6029907913990926e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.25700000000000006 y[1] (closed_form) 0.03302450000000002 y[1] (numeric) 0.033024497792666495 absolute error 2.207333524295585e-09 relative error 6.6839271580056735e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.25800000000000006 y[1] (closed_form) 0.03328200000000001 y[1] (numeric) 0.033281997748822865 absolute error 2.2511771474720277e-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] -0.25900000000000006 y[1] (closed_form) 0.033540500000000015 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] -0.26000000000000006 y[1] (closed_form) 0.03380000000000002 y[1] (numeric) 0.033799997660600836 absolute error 2.3393991813169812e-09 relative error 6.9212993530088166e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.26100000000000007 y[1] (closed_form) 0.034060500000000014 y[1] (numeric) 0.03406049761622225 absolute error 2.3837777654578396e-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] -0.26200000000000007 y[1] (closed_form) 0.03432200000000002 y[1] (numeric) 0.03432199757166515 absolute error 2.4283348665221638e-09 relative error 7.0751554877983875e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 TOP MAIN SOLVE Loop x[1] -0.26300000000000007 y[1] (closed_form) 0.03458450000000002 y[1] (numeric) 0.03458449752692945 absolute error 2.4730705677766807e-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] -0.26400000000000007 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] -0.26500000000000007 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] -0.26600000000000007 y[1] (closed_form) 0.03537800000000002 y[1] (numeric) 0.03537799739164976 absolute error 2.6083502580043216e-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] -0.26700000000000007 y[1] (closed_form) 0.035644500000000016 y[1] (numeric) 0.035644497346198685 absolute error 2.6538013314647557e-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] -0.26800000000000007 y[1] (closed_form) 0.03591200000000002 y[1] (numeric) 0.035911997300568516 absolute error 2.6994315047157436e-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) 0.036180497254759164 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) 0.036449997208770527 absolute error 2.7912294905951818e-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) 0.036720497162602506 absolute error 2.8373975113904493e-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) 0.036991997116255004 absolute error 2.8837450136154352e-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 2.9302721013535482e-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 7.93057400966834e-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) 0.037812496976134605 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) 0.038088000000000025 y[1] (numeric) 0.03808799692906817 absolute error 3.0709318560306897e-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) 0.038364500000000024 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) 0.038642000000000024 y[1] (numeric) 0.038641996834395245 absolute error 3.1656047783101826e-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) 0.038920500000000025 y[1] (numeric) 0.03892049678678855 absolute error 3.2132114746730167e-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 3.3089658443841152e-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) 0.039762000000000026 y[1] (numeric) 0.039761996642886294 absolute error 3.3571137328380907e-09 relative error 8.44302030289746e-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) 0.040044500000000025 y[1] (numeric) 0.040044496594557805 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) 0.040328000000000024 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) 0.040612500000000024 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) 0.040898000000000025 y[1] (numeric) 0.04089799644848766 absolute error 3.5515123619767053e-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 3.6005643189174208e-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) 0.042050000000000025 y[1] (numeric) 0.042049996251192615 absolute error 3.748807410330901e-09 relative error 8.91511869282021e-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) 0.042340500000000024 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) 0.042632000000000024 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) 0.042924500000000025 y[1] (numeric) 0.042924496101316434 absolute error 3.8986835912413476e-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) 0.043217996050994294 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 3.9995097719791595e-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) 0.043807995949804224 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) 0.044104500000000026 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 9.35118760198578e-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) 0.044700495796653014 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) 0.044999995745237865 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) 0.046208000000000034 y[1] (numeric) 0.04620799553775057 absolute error 4.462249465764234e-09 relative error 9.65687644079863e-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) 0.046512495485421496 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) 0.047124500000000034 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) 0.047431995327335046 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) 0.047740495274272765 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) 0.048049995221026896 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) 0.048360500000000035 y[1] (numeric) 0.048360495167597314 absolute error 4.8324027210333576e-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) 0.048672000000000035 y[1] (numeric) 0.04867199511398391 absolute error 4.88601612641526e-09 relative error 1.0038659036849229e-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) 0.048984500000000035 y[1] (numeric) 0.04898449506018655 absolute error 4.939813481874555e-09 relative error 1.0084441980370428e-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) 0.049298000000000036 y[1] (numeric) 0.04929799500620514 absolute error 4.993794898433546e-09 relative error 1.0129812362435681e-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 1.0174775512204218e-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) 0.049928000000000035 y[1] (numeric) 0.049927994897689634 absolute error 5.1023104005731845e-09 relative error 1.0219336645916482e-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 1.0263500938441254e-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 5.2115635973404295e-09 relative error 1.0307273441201744e-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) 0.050880494733532906 absolute error 5.266467130449204e-09 relative error 1.0350659153210366e-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) 0.051199994678444584 absolute error 5.321555453241533e-09 relative error 1.0393662994612363e-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) 0.051520494623171355 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) 0.051841994567713094 absolute error 5.432286946660536e-09 relative error 1.0478544320551931e-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 1.0520431251422887e-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) 0.052487994456240986 absolute error 5.543759055981479e-09 relative error 1.0561955220205522e-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 5.5997731521206795e-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) 0.053137994344027266 absolute error 5.655972773466189e-09 relative error 1.0643932352490092e-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) 0.053464494287641995 absolute error 5.712358044918098e-09 relative error 1.0684394401739647e-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 5.7689290983153896e-09 relative error 1.0724511262483984e-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) 0.054120500000000044 y[1] (numeric) 0.05412049417431399 absolute error 5.825686051619261e-09 relative error 1.0764287195460604e-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 1.0803726409053807e-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) 0.054780500000000044 y[1] (numeric) 0.05478049406024187 absolute error 5.9397581714248915e-09 relative error 1.0842833072762911e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33200000000000013 y[1] (closed_form) 0.05511200000000004 y[1] (numeric) 0.05511199400292645 absolute error 5.997073594665725e-09 relative error 1.0881611254655466e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33300000000000013 y[1] (closed_form) 0.05544450000000004 y[1] (numeric) 0.05544449394542461 absolute error 6.054575431291287e-09 relative error 1.0920064986231786e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33400000000000013 y[1] (closed_form) 0.05577800000000004 y[1] (numeric) 0.05577799388773623 absolute error 6.1122638131405616e-09 relative error 1.0958198237908416e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33500000000000013 y[1] (closed_form) 0.056112500000000044 y[1] (numeric) 0.05611249382986118 absolute error 6.170138865113639e-09 relative error 1.0996014907754304e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33600000000000013 y[1] (closed_form) 0.05644800000000005 y[1] (numeric) 0.05644799377179933 absolute error 6.228200719049504e-09 relative error 1.1033518847522496e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33700000000000013 y[1] (closed_form) 0.05678450000000004 y[1] (numeric) 0.05678449371355055 absolute error 6.286449492909352e-09 relative error 1.1070713826676905e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33800000000000013 y[1] (closed_form) 0.05712200000000005 y[1] (numeric) 0.05712199365511471 absolute error 6.344885339348849e-09 relative error 1.1107603619181478e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.33900000000000013 y[1] (closed_form) 0.057460500000000046 y[1] (numeric) 0.05746049359649168 absolute error 6.403508369390298e-09 relative error 1.1144191869876338e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34000000000000014 y[1] (closed_form) 0.057800000000000046 y[1] (numeric) 0.057799993537681324 absolute error 6.462318721811577e-09 relative error 1.1180482217667081e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34100000000000014 y[1] (closed_form) 0.058140500000000046 y[1] (numeric) 0.05814049347868352 absolute error 6.5213165284516705e-09 relative error 1.1216478235398157e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34200000000000014 y[1] (closed_form) 0.05848200000000005 y[1] (numeric) 0.05848199341949812 absolute error 6.580501928088456e-09 relative error 1.1252183454889453e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34300000000000014 y[1] (closed_form) 0.05882450000000005 y[1] (numeric) 0.058824493360125005 absolute error 6.6398750456220235e-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] -0.34400000000000014 y[1] (closed_form) 0.05916800000000005 y[1] (numeric) 0.059167993300564034 absolute error 6.699436012891358e-09 relative error 1.1322735284091659e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34500000000000014 y[1] (closed_form) 0.05951250000000005 y[1] (numeric) 0.05951249324081507 absolute error 6.759184982552124e-09 relative error 1.1357588712542943e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34600000000000014 y[1] (closed_form) 0.05985800000000005 y[1] (numeric) 0.059857993180877984 absolute error 6.819122065626626e-09 relative error 1.1392164899640182e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34700000000000014 y[1] (closed_form) 0.06020450000000005 y[1] (numeric) 0.06020449312075264 absolute error 6.8792474078316346e-09 relative error 1.1426467137558868e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34800000000000014 y[1] (closed_form) 0.06055200000000005 y[1] (numeric) 0.0605519930604389 absolute error 6.939561147945028e-09 relative error 1.1460498658913038e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.34900000000000014 y[1] (closed_form) 0.06090050000000005 y[1] (numeric) 0.060900492999936634 absolute error 7.000063417805791e-09 relative error 1.1494262637918875e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35000000000000014 y[1] (closed_form) 0.06125000000000005 y[1] (numeric) 0.06124999293924569 absolute error 7.060754356191801e-09 relative error 1.1527762214190686e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35100000000000015 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] -0.35200000000000015 y[1] (closed_form) 0.06195200000000005 y[1] (numeric) 0.06195199281729726 absolute error 7.182702786712181e-09 relative error 1.1593980479584476e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35300000000000015 y[1] (closed_form) 0.062304500000000054 y[1] (numeric) 0.06230449275603949 absolute error 7.243960563341201e-09 relative error 1.1626705235321997e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35400000000000015 y[1] (closed_form) 0.06265800000000005 y[1] (numeric) 0.0626579926945925 absolute error 7.305407542790299e-09 relative error 1.1659177667321481e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35500000000000015 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] -0.35600000000000015 y[1] (closed_form) 0.06336800000000005 y[1] (numeric) 0.0633679925711303 absolute error 7.428869755465861e-09 relative error 1.1723377344189267e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35700000000000015 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] -0.35800000000000015 y[1] (closed_form) 0.06408200000000006 y[1] (numeric) 0.06408199244690953 absolute error 7.553090528022999e-09 relative error 1.1786602365754802e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.35900000000000015 y[1] (closed_form) 0.06444050000000005 y[1] (numeric) 0.06444049238451433 absolute error 7.615485728140747e-09 relative error 1.1817856360737023e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36000000000000015 y[1] (closed_form) 0.06480000000000005 y[1] (numeric) 0.06479999232192907 absolute error 7.678070984562524e-09 relative error 1.1848874976176725e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36100000000000015 y[1] (closed_form) 0.06516050000000005 y[1] (numeric) 0.0651604922591536 absolute error 7.740846449943994e-09 relative error 1.1879660914118197e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36200000000000015 y[1] (closed_form) 0.06552200000000005 y[1] (numeric) 0.06552199219618778 absolute error 7.803812276940825e-09 relative error 1.1910216838528767e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36300000000000016 y[1] (closed_form) 0.06588450000000005 y[1] (numeric) 0.06588449213303146 absolute error 7.866968590453105e-09 relative error 1.1940545333808556e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36400000000000016 y[1] (closed_form) 0.06624800000000006 y[1] (numeric) 0.0662479920696845 absolute error 7.930315557014289e-09 relative error 1.1970649011312466e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36500000000000016 y[1] (closed_form) 0.06661250000000006 y[1] (numeric) 0.06661249200614676 absolute error 7.993853301524467e-09 relative error 1.2000530383223059e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36600000000000016 y[1] (closed_form) 0.06697800000000005 y[1] (numeric) 0.06697799194241809 absolute error 8.057581962761518e-09 relative error 1.2030191947746292e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36700000000000016 y[1] (closed_form) 0.06734450000000006 y[1] (numeric) 0.06734449187849834 absolute error 8.121501721136681e-09 relative error 1.2059636230333099e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36800000000000016 y[1] (closed_form) 0.06771200000000006 y[1] (numeric) 0.06771199181438736 absolute error 8.185612701550049e-09 relative error 1.2088865639103912e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.36900000000000016 y[1] (closed_form) 0.06808050000000006 y[1] (numeric) 0.06808049175008503 absolute error 8.249915028901711e-09 relative error 1.2117882549190597e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37000000000000016 y[1] (closed_form) 0.06845000000000007 y[1] (numeric) 0.06844999168559117 absolute error 8.314408897480696e-09 relative error 1.2146689404646733e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37100000000000016 y[1] (closed_form) 0.06882050000000006 y[1] (numeric) 0.06882049162090564 absolute error 8.379094418309307e-09 relative error 1.2175288494430147e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37200000000000016 y[1] (closed_form) 0.06919200000000006 y[1] (numeric) 0.0691919915560283 absolute error 8.443971757920998e-09 relative error 1.2203682156782563e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37300000000000016 y[1] (closed_form) 0.06956450000000006 y[1] (numeric) 0.069564491490959 absolute error 8.509041055093647e-09 relative error 1.2231872657883892e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37400000000000017 y[1] (closed_form) 0.06993800000000006 y[1] (numeric) 0.0699379914256976 absolute error 8.574302462482919e-09 relative error 1.2259862252971078e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37500000000000017 y[1] (closed_form) 0.07031250000000007 y[1] (numeric) 0.07031249136024392 absolute error 8.639756146622268e-09 relative error 1.2287653186307213e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37600000000000017 y[1] (closed_form) 0.07068800000000006 y[1] (numeric) 0.07068799129459784 absolute error 8.705402218533997e-09 relative error 1.2315247592991724e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37700000000000017 y[1] (closed_form) 0.07106450000000006 y[1] (numeric) 0.07106449122875919 absolute error 8.771240872507136e-09 relative error 1.2342647696820675e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37800000000000017 y[1] (closed_form) 0.07144200000000006 y[1] (numeric) 0.07144199116272781 absolute error 8.837272247319561e-09 relative error 1.2369855613392057e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.37900000000000017 y[1] (closed_form) 0.07182050000000006 y[1] (numeric) 0.07182049109650357 absolute error 8.903496495626939e-09 relative error 1.2396873449261606e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.38000000000000017 y[1] (closed_form) 0.07220000000000007 y[1] (numeric) 0.0721999910300863 absolute error 8.969913770084936e-09 relative error 1.2423703282666105e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.38100000000000017 y[1] (closed_form) 0.07258050000000006 y[1] (numeric) 0.07258049096347585 absolute error 9.03652420947143e-09 relative error 1.2450347144854916e-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 1.2476807097115834e-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 1.2503085116186631e-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 1.2529183190289201e-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 9.3049008914603e-09 relative error 1.2555103243663743e-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 1.2580847212470886e-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 1.2606416988630356e-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 1.2631814476013051e-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) 0.0756604904236192 absolute error 9.5763808688476e-09 relative error 1.2657041479831076e-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 1.2682099854899775e-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 1.2706991377049453e-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 1.2731717871333876e-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 1.2780682705883282e-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 1.0058968671899926e-08 relative error 1.2829008101086517e-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 1.2876707551467337e-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 1.0268724523476713e-08 relative error 1.2900326660607288e-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 1.0339035336204283e-08 relative error 1.2923794170255342e-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 1.0409542533507121e-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 1.0480246281918681e-08 relative error 1.2970280787503614e-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 1.2993302999334543e-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 1.3016179855612696e-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 1.0693538415873505e-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 1.0765030006298915e-08 relative error 1.3061503562691287e-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 1.0836718980500315e-08 relative error 1.3083953396036565e-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 1.0980689732487114e-08 relative error 1.3128436262919404e-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 1.1052971871094996e-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 1.1125452059612684e-08 relative error 1.3172372954946601e-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 1.1198130506206994e-08 relative error 1.3194140006370749e-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 1.1271007349655804e-08 relative error 1.3215774671430087e-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 1.1344082770370356e-08 relative error 1.3237278314978582e-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 1.1417356948761892e-08 relative error 1.3258652284815656e-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 1.3301016510786614e-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 1.3322009347720093e-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 1.1712444764055974e-08 relative error 1.3342877705248845e-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 1.3363622865773355e-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 1.1861185783557104e-08 relative error 1.3384246064462616e-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) 0.0890420000000001 y[1] (numeric) 0.08904198806414389 absolute error 1.1935856206179984e-08 relative error 1.3404748552570666e-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 1.2010726788136417e-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 1.2085797737593218e-08 relative error 1.3445396201487634e-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 1.2161069207206054e-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 1.2236541405141743e-08 relative error 1.3485575398555985e-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 1.3505492251979594e-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 1.2388088638237704e-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 1.2464164061976035e-08 relative error 1.3544986238909834e-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 1.2540440935682184e-08 relative error 1.3564565641624848e-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 1.2616919439767393e-08 relative error 1.3584034797150512e-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 1.2693599754642904e-08 relative error 1.3603394798785677e-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 1.2770482074597744e-08 relative error 1.3622646741513082e-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) 0.0941780000000001 y[1] (numeric) 0.09417798715243351 absolute error 1.2847566580043157e-08 relative error 1.3641791692373106e-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 1.2924853451390383e-08 relative error 1.3660830705657677e-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 1.3002342882928453e-08 relative error 1.3679764837690893e-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 1.3080035068946394e-08 relative error 1.3698595132138076e-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 1.3157930189855449e-08 relative error 1.3717322605716557e-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 1.3236028453822435e-08 relative error 1.3735948291906352e-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) 0.0968000000000001 y[1] (numeric) 0.09679998668567008 absolute error 1.3314330013503017e-08 relative error 1.3754473154445253e-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 1.3772898231518322e-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 1.3471543880427816e-08 relative error 1.3791224463491536e-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 1.3550456562372304e-08 relative error 1.3809452850585011e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44400000000000023 y[1] (closed_form) 0.0985680000000001 y[1] (numeric) 0.09856798637042677 absolute error 1.3629573331064293e-08 relative error 1.3827584338795836e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44500000000000023 y[1] (closed_form) 0.0990125000000001 y[1] (numeric) 0.09901248629110572 absolute error 1.3708894380792813e-08 relative error 1.3845619877078955e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44600000000000023 y[1] (closed_form) 0.0994580000000001 y[1] (numeric) 0.0994579862115802 absolute error 1.3788419905846894e-08 relative error 1.3863560403232399e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44700000000000023 y[1] (closed_form) 0.0999045000000001 y[1] (numeric) 0.09990448613185 absolute error 1.3868150100515564e-08 relative error 1.3881406844051619e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44800000000000023 y[1] (closed_form) 0.10035200000000011 y[1] (numeric) 0.10035198605191495 absolute error 1.3948085159087853e-08 relative error 1.3899160115481344e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.44900000000000023 y[1] (closed_form) 0.1008005000000001 y[1] (numeric) 0.10080048597177482 absolute error 1.402822527585279e-08 relative error 1.3916821122765043e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45000000000000023 y[1] (closed_form) 0.1012500000000001 y[1] (numeric) 0.10124998589142944 absolute error 1.4108570658977193e-08 relative error 1.3934390774298448e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45100000000000023 y[1] (closed_form) 0.10170050000000011 y[1] (numeric) 0.10170048581087861 absolute error 1.418912150275009e-08 relative error 1.3951869954179257e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45200000000000023 y[1] (closed_form) 0.1021520000000001 y[1] (numeric) 0.10215198573012212 absolute error 1.4269877987582724e-08 relative error 1.3969259522655171e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45300000000000024 y[1] (closed_form) 0.10260450000000011 y[1] (numeric) 0.10260448564915976 absolute error 1.4350840349397487e-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] -0.45400000000000024 y[1] (closed_form) 0.10305800000000011 y[1] (numeric) 0.10305798556799135 absolute error 1.4432008754727832e-08 relative error 1.4003773365219408e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45500000000000024 y[1] (closed_form) 0.1035125000000001 y[1] (numeric) 0.10351248548661669 absolute error 1.4513383411740577e-08 relative error 1.4020899323019503e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45600000000000024 y[1] (closed_form) 0.1039680000000001 y[1] (numeric) 0.10396798540503557 absolute error 1.4594964528602539e-08 relative error 1.4037939104919325e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45700000000000024 y[1] (closed_form) 0.10442450000000011 y[1] (numeric) 0.1044244853232478 absolute error 1.4676752313480534e-08 relative error 1.4054893548430224e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45800000000000024 y[1] (closed_form) 0.10488200000000011 y[1] (numeric) 0.10488198524125315 absolute error 1.4758746960663593e-08 relative error 1.4071763468148564e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.45900000000000024 y[1] (closed_form) 0.10534050000000011 y[1] (numeric) 0.10534048515905145 absolute error 1.4840948664440745e-08 relative error 1.4088549669349138e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46000000000000024 y[1] (closed_form) 0.10580000000000012 y[1] (numeric) 0.10579998507664247 absolute error 1.4923357646856594e-08 relative error 1.4105252974344592e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46100000000000024 y[1] (closed_form) 0.10626050000000012 y[1] (numeric) 0.10626048499402602 absolute error 1.500597410220017e-08 relative error 1.4121874169799835e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46200000000000024 y[1] (closed_form) 0.10672200000000011 y[1] (numeric) 0.10672198491120188 absolute error 1.5088798224760502e-08 relative error 1.4138414033433114e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46300000000000024 y[1] (closed_form) 0.10718450000000011 y[1] (numeric) 0.10718448482816986 absolute error 1.5171830250459983e-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] -0.46400000000000025 y[1] (closed_form) 0.10764800000000012 y[1] (numeric) 0.10764798474492975 absolute error 1.5255070373587643e-08 relative error 1.4171252948115735e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46500000000000025 y[1] (closed_form) 0.10811250000000011 y[1] (numeric) 0.10811248466148132 absolute error 1.533851878843251e-08 relative error 1.4187553509938716e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46600000000000025 y[1] (closed_form) 0.10857800000000012 y[1] (numeric) 0.10857798457782439 absolute error 1.5422175730916976e-08 relative error 1.4203775839412183e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46700000000000025 y[1] (closed_form) 0.10904450000000011 y[1] (numeric) 0.10904448449395873 absolute error 1.5506041381452285e-08 relative error 1.4219920657577658e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46800000000000025 y[1] (closed_form) 0.10951200000000012 y[1] (numeric) 0.10951198440988415 absolute error 1.5590115975960828e-08 relative error 1.4235988728140122e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.46900000000000025 y[1] (closed_form) 0.10998050000000012 y[1] (numeric) 0.10998048432560042 absolute error 1.5674399694853847e-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] -0.47000000000000025 y[1] (closed_form) 0.11045000000000012 y[1] (numeric) 0.11044998424110734 absolute error 1.5758892774053734e-08 relative error 1.4267897486694175e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47100000000000025 y[1] (closed_form) 0.11092050000000012 y[1] (numeric) 0.11092048415640471 absolute error 1.584359540784952e-08 relative error 1.4283739622386757e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47200000000000025 y[1] (closed_form) 0.11139200000000012 y[1] (numeric) 0.11139198407149228 absolute error 1.5928507832163596e-08 relative error 1.4299507892993734e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47300000000000025 y[1] (closed_form) 0.11186450000000012 y[1] (numeric) 0.11186448398636988 absolute error 1.6013630241284993e-08 relative error 1.4315202983328023e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47400000000000025 y[1] (closed_form) 0.11233800000000012 y[1] (numeric) 0.11233798390103726 absolute error 1.6098962857258314e-08 relative error 1.4330825595309065e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47500000000000026 y[1] (closed_form) 0.11281250000000012 y[1] (numeric) 0.11281248381549422 absolute error 1.6184505902128166e-08 relative error 1.4346376422939078e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47600000000000026 y[1] (closed_form) 0.11328800000000012 y[1] (numeric) 0.11328798372974054 absolute error 1.6270259584061364e-08 relative error 1.4361856140157251e-05% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47700000000000026 y[1] (closed_form) 0.11376450000000013 y[1] (numeric) 0.113764483643776 absolute error 1.6356224125102514e-08 relative error 1.4377265425596293e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47800000000000026 y[1] (closed_form) 0.11424200000000012 y[1] (numeric) 0.1142419835576004 absolute error 1.6442399719540646e-08 relative error 1.4392604925982238e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.47900000000000026 y[1] (closed_form) 0.11472050000000013 y[1] (numeric) 0.11472048347121351 absolute error 1.652878661717594e-08 relative error 1.4407875329322937e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48000000000000026 y[1] (closed_form) 0.11520000000000012 y[1] (numeric) 0.11519998338461511 absolute error 1.6615385012297423e-08 relative error 1.4423077267619277e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48100000000000026 y[1] (closed_form) 0.11568050000000013 y[1] (numeric) 0.11568048329780498 absolute error 1.670219515470528e-08 relative error 1.4438211413942074e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48200000000000026 y[1] (closed_form) 0.11616200000000013 y[1] (numeric) 0.11616198321078289 absolute error 1.6789217238688536e-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] -0.48300000000000026 y[1] (closed_form) 0.11664450000000012 y[1] (numeric) 0.11664448312354864 absolute error 1.68764514862918e-08 relative error 1.4468278818368446e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48400000000000026 y[1] (closed_form) 0.11712800000000012 y[1] (numeric) 0.11712798303610199 absolute error 1.696389813343746e-08 relative error 1.4483213350725226e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48500000000000026 y[1] (closed_form) 0.11761250000000013 y[1] (numeric) 0.11761248294844273 absolute error 1.7051557402170125e-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] -0.48600000000000027 y[1] (closed_form) 0.11809800000000013 y[1] (numeric) 0.11809798286057063 absolute error 1.713942950065661e-08 relative error 1.4512887179000992e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48700000000000027 y[1] (closed_form) 0.11858450000000013 y[1] (numeric) 0.11858448277248547 absolute error 1.722751466481931e-08 relative error 1.4527627695710056e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48800000000000027 y[1] (closed_form) 0.11907200000000014 y[1] (numeric) 0.11907198268418702 absolute error 1.7315813116702827e-08 relative error 1.4542304754016736e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.48900000000000027 y[1] (closed_form) 0.11956050000000013 y[1] (numeric) 0.11956048259567505 absolute error 1.7404325078351768e-08 relative error 1.4556918947605396e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.49000000000000027 y[1] (closed_form) 0.12005000000000013 y[1] (numeric) 0.12004998250694933 absolute error 1.7493050799566312e-08 relative error 1.4571470886769091e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.49100000000000027 y[1] (closed_form) 0.12054050000000013 y[1] (numeric) 0.12054048241800965 absolute error 1.7581990488513277e-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] -0.49200000000000027 y[1] (closed_form) 0.12103200000000014 y[1] (numeric) 0.12103198232885576 absolute error 1.7671144381115056e-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] -0.49300000000000027 y[1] (closed_form) 0.12152450000000013 y[1] (numeric) 0.12152448223948745 absolute error 1.7760512685538465e-08 relative error 1.4614758905026103e-05% Desired digits 8 Estimated correct digits 12 Correct digits 7 h -0.001 TOP MAIN SOLVE Loop x[1] -0.49400000000000027 y[1] (closed_form) 0.12201800000000014 y[1] (numeric) 0.12201798214990447 absolute error 1.7850095665461474e-08 relative error 1.4629067568278002e-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) 0.12251250000000014 y[1] (numeric) 0.12251248206010662 absolute error 1.793989351517311e-08 relative error 1.4643316816792646e-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) 0.12300800000000013 y[1] (numeric) 0.12300798197009365 absolute error 1.8029906484473557e-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) 0.12350450000000014 y[1] (numeric) 0.12350448187986532 absolute error 1.8120134823162992e-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) 0.12400200000000014 y[1] (numeric) 0.12400198178942141 absolute error 1.8210578725530446e-08 relative error 1.4685713718754879e-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) 0.12450050000000014 y[1] (numeric) 0.12450048169876168 absolute error 1.8301238455253888e-08 relative error 1.4699730888834878e-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 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%