Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/arctan_tan_m0d2_m0d5postode.ode################# diff ( y , x , 1 ) = arctan ( tan ( 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=true $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] -0.201e0+/-0.55e-32 y[1] (closed_form) 0.202005e-1+/-0.111e-32 y[1] (numeric) 0.202005000676533587023522019696072284e-1+/-0.115e-32 absolute error 0.676533587023522019696072284e-10+/-0.226e-32 relative error 0.334909327503538040987140062869730947e-6+/-0.111e-28% Desired digits 8 Estimated correct digits 14 Correct digits 7 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.202e0+/-0.60e-32 y[1] (closed_form) 0.20402e-1+/-0.121e-32 y[1] (numeric) 0.204020001356538184034633040588982278e-1+/-0.126e-32 absolute error 0.1356538184034633040588982278e-9+/-0.247e-32 relative error 0.664904511339394687084100714635820017e-6+/-0.121e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.203e0+/-0.65e-32 y[1] (closed_form) 0.206045e-1+/-0.132e-32 y[1] (numeric) 0.206045002040015205767917323774163717e-1+/-0.137e-32 absolute error 0.2040015205767917323774163717e-9+/-0.269e-32 relative error 0.990082363448721067618318191171831396e-6+/-0.13e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.204e0+/-0.70e-32 y[1] (closed_form) 0.20808e-1+/-0.143e-32 y[1] (numeric) 0.208080002726966074772182554154712106e-1+/-0.148e-32 absolute error 0.2726966074772182554154712106e-9+/-0.291e-32 relative error 0.131053732928305582187366018166089965e-5+/-0.139e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.205e0+/-0.75e-32 y[1] (closed_form) 0.210125e-1+/-0.154e-32 y[1] (numeric) 0.21012500341739222142255620326966754e-1+/-0.16e-32 absolute error 0.341739222142255620326966754e-9+/-0.314e-32 relative error 0.162636155689354251196652827602617489e-5+/-0.149e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.206e0+/-0.80e-32 y[1] (closed_form) 0.21218e-1+/-0.165e-32 y[1] (numeric) 0.212180004111295083932655787069238015e-1+/-0.172e-32 absolute error 0.4111295083932655787069238015e-9+/-0.337e-32 relative error 0.193764496367831830854427279432557262e-5+/-0.158e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.207e0+/-0.85e-32 y[1] (closed_form) 0.214245e-1+/-0.176e-32 y[1] (numeric) 0.214245004808676108366833243183090494e-1+/-0.184e-32 absolute error 0.4808676108366833243183090494e-9+/-0.360e-32 relative error 0.22444753008783557344083131433639058e-5+/-0.168e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.208e0+/-0.90e-32 y[1] (closed_form) 0.21632e-1+/-0.187e-32 y[1] (numeric) 0.216320005509536748652493653774378754e-1+/-0.196e-32 absolute error 0.5509536748652493653774378754e-9+/-0.383e-32 relative error 0.254693821590814240651552272281804733e-5+/-0.177e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.209e0+/-0.95e-32 y[1] (closed_form) 0.218405e-1+/-0.199e-32 y[1] (numeric) 0.21840500621387846659248854162602334e-1+/-0.209e-32 absolute error 0.621387846659248854162602334e-9+/-0.408e-32 relative error 0.284511731260387286995536885144570866e-5+/-0.186e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21e0+/-0.100e-31 y[1] (closed_form) 0.2205e-1+/-0.21e-32 y[1] (numeric) 0.220500006921702731877583968666967037e-1+/-0.222e-32 absolute error 0.6921702731877583968666967037e-9+/-0.432e-32 relative error 0.31390942094682920492820712185941043e-5+/-0.195e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.211e0+/-0.105e-31 y[1] (closed_form) 0.222605e-1+/-0.222e-32 y[1] (numeric) 0.22260500763301102209900366771475676e-1+/-0.235e-32 absolute error 0.763301102209900366771475676e-9+/-0.457e-32 relative error 0.342894859598796238526302498146941892e-5+/-0.205e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.212e0+/-0.110e-31 y[1] (closed_form) 0.22472e-1+/-0.233e-32 y[1] (numeric) 0.224720008347804822761047439786907651e-1+/-0.249e-32 absolute error 0.8347804822761047439786907651e-9+/-0.482e-32 relative error 0.371475828709551772863425936765752936e-5+/-0.214e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.213e0+/-0.115e-31 y[1] (closed_form) 0.226845e-1+/-0.245e-32 y[1] (numeric) 0.226845009066085627293785050917145832e-1+/-0.261e-32 absolute error 0.9066085627293785050917145832e-9+/-0.506e-32 relative error 0.399659927584640836294260214331371641e-5+/-0.223e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.214e0+/-0.120e-31 y[1] (closed_form) 0.22898e-1+/-0.257e-32 y[1] (numeric) 0.228980009787854937065825864003861419e-1+/-0.273e-32 absolute error 0.9787854937065825864003861419e-9+/-0.530e-32 relative error 0.42745457843767254188155565634553236e-5+/-0.231e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.215e0+/-0.125e-31 y[1] (closed_form) 0.231125e-1+/-0.269e-32 y[1] (numeric) 0.231125010513114261397164442816992242e-1+/-0.285e-32 absolute error 0.10513114261397164442816992242e-8+/-0.554e-32 relative error 0.454867031320591214399869864445646295e-5+/-0.239e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.216e0+/-0.130e-31 y[1] (closed_form) 0.23328e-1+/-0.281e-32 y[1] (numeric) 0.233280011241865117572102366896160692e-1+/-0.297e-32 absolute error 0.11241865117572102366896160692e-8+/-0.578e-32 relative error 0.481904368894551713258580276577503429e-5+/-0.247e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.217e0+/-0.135e-31 y[1] (closed_form) 0.235445e-1+/-0.293e-32 y[1] (numeric) 0.235445011974109030852246497687261202e-1+/-0.31e-32 absolute error 0.11974109030852246497687261202e-8+/-0.603e-32 relative error 0.508573511047261419766283471808702669e-5+/-0.256e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.218e0+/-0.140e-31 y[1] (closed_form) 0.23762e-1+/-0.305e-32 y[1] (numeric) 0.237620012709847534489583937886904323e-1+/-0.323e-32 absolute error 0.12709847534489583937886904323e-8+/-0.628e-32 relative error 0.534881219362409895542753317187105462e-5+/-0.264e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.219e0+/-0.145e-31 y[1] (closed_form) 0.239805e-1+/-0.318e-32 y[1] (numeric) 0.239805013449082169739633927594225904e-1+/-0.336e-32 absolute error 0.13449082169739633927594225904e-8+/-0.654e-32 relative error 0.560834101446576757265037255436708992e-5+/-0.272e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22e0+/-0.150e-31 y[1] (closed_form) 0.242e-1+/-0.33e-32 y[1] (numeric) 0.242000014191814485874676922507627633e-1+/-0.349e-32 absolute error 0.14191814485874676922507627633e-8+/-0.679e-32 relative error 0.586438615118788302582959819545454545e-5+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.221e0+/-0.155e-31 y[1] (closed_form) 0.244205e-1+/-0.343e-32 y[1] (numeric) 0.244205014938046040197061101050089637e-1+/-0.362e-32 absolute error 0.14938046040197061101050089637e-8+/-0.705e-32 relative error 0.611701072467683343954877649392928072e-5+/-0.288e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.222e0+/-0.160e-31 y[1] (closed_form) 0.24642e-1+/-0.355e-32 y[1] (numeric) 0.246420015687778398052586548960848898e-1+/-0.375e-32 absolute error 0.15687778398052586548960848898e-8+/-0.730e-32 relative error 0.636627643781048070325495044963882801e-5+/-0.296e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.223e0+/-0.165e-31 y[1] (closed_form) 0.248645e-1+/-0.368e-32 y[1] (numeric) 0.248645016441013132843967371553531251e-1+/-0.388e-32 absolute error 0.16441013132843967371553531251e-8+/-0.756e-32 relative error 0.66122436135228809634432750511773814e-5+/-0.304e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.224e0+/-0.170e-31 y[1] (closed_form) 0.25088e-1+/-0.381e-32 y[1] (numeric) 0.250880017197751826044371985511322422e-1+/-0.401e-32 absolute error 0.17197751826044371985511322422e-8+/-0.782e-32 relative error 0.685497123168222735391873502152423469e-5+/-0.311e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.225e0+/-0.175e-31 y[1] (closed_form) 0.253125e-1+/-0.394e-32 y[1] (numeric) 0.253125017957996067211041843768528116e-1+/-0.414e-32 absolute error 0.17957996067211041843768528116e-8+/-0.808e-32 relative error 0.709451696482411529630361604582716049e-5+/-0.319e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.226e0+/-0.180e-31 y[1] (closed_form) 0.25538e-1+/-0.407e-32 y[1] (numeric) 0.255380018721747453998988848714968146e-1+/-0.427e-32 absolute error 0.18721747453998988848714968146e-8+/-0.834e-32 relative error 0.733093721278055793277271835930769833e-5+/-0.326e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.227e0+/-0.185e-31 y[1] (closed_form) 0.257645e-1+/-0.42e-32 y[1] (numeric) 0.25764501948900759217477171065513902e-1+/-0.442e-32 absolute error 0.1948900759217477171065513902e-8+/-0.862e-32 relative error 0.756428713624358000762876788604475149e-5+/-0.334e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.228e0+/-0.190e-31 y[1] (closed_form) 0.25992e-1+/-0.433e-32 y[1] (numeric) 0.25992002025977809563035151015802775e-1+/-0.458e-32 absolute error 0.2025977809563035151015802775e-8+/-0.891e-32 relative error 0.779462068930068925444676352339181286e-5+/-0.342e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.229e0+/-0.195e-31 y[1] (closed_form) 0.262205e-1+/-0.447e-32 y[1] (numeric) 0.262205021034060586397026724645931714e-1+/-0.472e-32 absolute error 0.21034060586397026724645931714e-8+/-0.919e-32 relative error 0.802199065097806171684213943822581567e-5+/-0.35e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23e0+/-0.200e-31 y[1] (closed_form) 0.2645e-1+/-0.46e-32 y[1] (numeric) 0.264500021811856694659447981291700604e-1+/-0.486e-32 absolute error 0.21811856694659447981291700604e-8+/-0.946e-32 relative error 0.824644865582587825379648416030245746e-5+/-0.357e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.231e0+/-0.205e-31 y[1] (closed_form) 0.266805e-1+/-0.474e-32 y[1] (numeric) 0.266805022593168058769712800023532491e-1+/-0.5e-32 absolute error 0.22593168058769712800023532491e-8+/-0.974e-32 relative error 0.846804522357891074006241730514795449e-5+/-0.365e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.232e0+/-0.210e-31 y[1] (closed_form) 0.26912e-1+/-0.487e-32 y[1] (numeric) 0.26912002337799632526154059217489311e-1+/-0.514e-32 absolute error 0.2337799632526154059217489311e-8+/-0.1e-31 relative error 0.86868297879241753092207539796373365e-5+/-0.371e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.233e0+/-0.215e-31 y[1] (closed_form) 0.271445e-1+/-0.5e-32 y[1] (numeric) 0.271445024166343148864528182064352221e-1+/-0.529e-32 absolute error 0.24166343148864528182064352221e-8+/-0.102e-31 relative error 0.89028507244062436891688379675440697e-5+/-0.375e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.234e0+/-0.220e-31 y[1] (closed_form) 0.27378e-1+/-0.51e-32 y[1] (numeric) 0.273780024958210192518486120546210447e-1+/-0.544e-32 absolute error 0.24958210192518486120546210447e-8+/-0.105e-31 relative error 0.911615537749962967365994975783475783e-5+/-0.383e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.235e0+/-0.225e-31 y[1] (closed_form) 0.276125e-1+/-0.525e-32 y[1] (numeric) 0.276125025753599127387856061337791923e-1+/-0.558e-32 absolute error 0.25753599127387856061337791923e-8+/-0.108e-31 relative error 0.932679008687654361660037733743775464e-5+/-0.391e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.236e0+/-0.230e-31 y[1] (closed_form) 0.27848e-1+/-0.54e-32 y[1] (numeric) 0.278480026552511632876209472703270376e-1+/-0.572e-32 absolute error 0.26552511632876209472703270376e-8+/-0.111e-31 relative error 0.953480021289723120967511863544958345e-5+/-0.398e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.237e0+/-0.235e-31 y[1] (closed_form) 0.280845e-1+/-0.555e-32 y[1] (numeric) 0.280845027354949396640827958856947465e-1+/-0.587e-32 absolute error 0.27354949396640827958856947465e-8+/-0.114e-31 relative error 0.97402301613490815071861516014171518e-5+/-0.405e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.238e0+/-0.240e-31 y[1] (closed_form) 0.28322e-1+/-0.57e-32 y[1] (numeric) 0.283220028160914114607365467241081224e-1+/-0.602e-32 absolute error 0.28160914114607365467241081224e-8+/-0.117e-31 relative error 0.994312340745970110417381584068921686e-5+/-0.413e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.239e0+/-0.245e-31 y[1] (closed_form) 0.285605e-1+/-0.585e-32 y[1] (numeric) 0.285605028970407490984592659634738749e-1+/-0.617e-32 absolute error 0.28970407490984592659634738749e-8+/-0.12e-31 relative error 0.101435225192082045691198469035906234e-4+/-0.42e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24e0+/-0.250e-31 y[1] (closed_form) 0.288e-1+/-0.6e-32 y[1] (numeric) 0.288000029783431238279223726860790785e-1+/-0.632e-32 absolute error 0.29783431238279223726860790785e-8+/-0.123e-31 relative error 0.103414691799580637940488856892361111e-4+/-0.427e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.241e0+/-0.255e-31 y[1] (closed_form) 0.290405e-1+/-0.61e-32 y[1] (numeric) 0.290405030599987077310825928678146911e-1+/-0.647e-32 absolute error 0.30599987077310825928678146911e-8+/-0.125e-31 relative error 0.105370042104339890596505386997469051e-4+/-0.43e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.242e0+/-0.260e-31 y[1] (closed_form) 0.29282e-1+/-0.625e-32 y[1] (numeric) 0.292820031420076737226812142275719601e-1+/-0.663e-32 absolute error 0.31420076737226812142275719601e-8+/-0.128e-31 relative error 0.10730167590064480616855310293354279e-4+/-0.437e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.243e0+/-0.265e-31 y[1] (closed_form) 0.295245e-1+/-0.64e-32 y[1] (numeric) 0.295245032243701955517516704623474798e-1+/-0.68e-32 absolute error 0.32243701955517516704623474798e-8+/-0.132e-31 relative error 0.109209984777108898388197851946688343e-4+/-0.447e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.244e0+/-0.270e-31 y[1] (closed_form) 0.29768e-1+/-0.655e-32 y[1] (numeric) 0.297680033070864478031354835784347749e-1+/-0.695e-32 absolute error 0.33070864478031354835784347749e-8+/-0.135e-31 relative error 0.111095352318030619577345967982397205e-4+/-0.453e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.245e0+/-0.275e-31 y[1] (closed_form) 0.300125e-1+/-0.67e-32 y[1] (numeric) 0.300125033901566058990065932148848001e-1+/-0.711e-32 absolute error 0.33901566058990065932148848001e-8+/-0.138e-31 relative error 0.112958154299008966037980334863806747e-4+/-0.459e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.246e0+/-0.280e-31 y[1] (closed_form) 0.30258e-1+/-0.685e-32 y[1] (numeric) 0.302580034735808461004041020421919603e-1+/-0.728e-32 absolute error 0.34735808461004041020421919603e-8+/-0.141e-31 relative error 0.114798758877004564149718816851741688e-4+/-0.465e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.247e0+/-0.285e-31 y[1] (closed_form) 0.305045e-1+/-0.7e-32 y[1] (numeric) 0.305045035573593455087734665069135002e-1+/-0.744e-32 absolute error 0.35573593455087734665069135002e-8+/-0.144e-31 relative error 0.116617526775025765592188480394695864e-4+/-0.472e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.248e0+/-0.290e-31 y[1] (closed_form) 0.30752e-1+/-0.715e-32 y[1] (numeric) 0.307520036414922820675161623816657787e-1+/-0.76e-32 absolute error 0.36414922820675161623816657787e-8+/-0.147e-31 relative error 0.118414811461612778433326800816207075e-4+/-0.478e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.249e0+/-0.295e-31 y[1] (closed_form) 0.310005e-1+/-0.73e-32 y[1] (numeric) 0.31000503725979834563547854769668478e-1+/-0.777e-32 absolute error 0.3725979834563547854769668478e-8+/-0.15e-31 relative error 0.120190959325286619724509878163255431e-4+/-0.483e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25e0+/-0.300e-31 y[1] (closed_form) 0.3125e-1+/-0.75e-32 y[1] (numeric) 0.312500038108221826288651024037346828e-1+/-0.795e-32 absolute error 0.38108221826288651024037346828e-8+/-0.154e-31 relative error 0.1219463098441236832769195098496e-4+/-0.492e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.251e0+/-0.305e-31 y[1] (closed_form) 0.315005e-1+/-0.765e-32 y[1] (numeric) 0.315005038960195067421206262713385594e-1+/-0.811e-32 absolute error 0.38960195067421206262713385594e-8+/-0.157e-31 relative error 0.123681195750610962564763688176378152e-4+/-0.498e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.252e0+/-0.310e-31 y[1] (closed_form) 0.31752e-1+/-0.78e-32 y[1] (numeric) 0.317520039815719882302071727901406561e-1+/-0.828e-32 absolute error 0.39815719882302071727901406561e-8+/-0.16e-31 relative error 0.125395943191931442831637082895565633e-4+/-0.503e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.253e0+/-0.315e-31 y[1] (closed_form) 0.320045e-1+/-0.795e-32 y[1] (numeric) 0.320045040674798092698500019521212974e-1+/-0.846e-32 absolute error 0.40674798092698500019521212974e-8+/-0.164e-31 relative error 0.127090871885823868579484800493680576e-4+/-0.512e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.254e0+/-0.320e-31 y[1] (closed_form) 0.32258e-1+/-0.81e-32 y[1] (numeric) 0.322580041537431528892080310492728538e-1+/-0.862e-32 absolute error 0.41537431528892080310492728538e-8+/-0.167e-31 relative error 0.128766295272155993274514007495814991e-4+/-0.517e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.255e0+/-0.325e-31 y[1] (closed_form) 0.325125e-1+/-0.825e-32 y[1] (numeric) 0.325125042403622029694836647896396036e-1+/-0.878e-32 absolute error 0.42403622029694836647896396036e-8+/-0.17e-31 relative error 0.130422520660345518332630206954248366e-4+/-0.522e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.256e0+/-0.330e-31 y[1] (closed_form) 0.32768e-1+/-0.84e-32 y[1] (numeric) 0.327680043273371442465413428093772767e-1+/-0.894e-32 absolute error 0.43273371442465413428093772767e-8+/-0.173e-31 relative error 0.132059849372758219690227578024291992e-4+/-0.527e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.257e0+/-0.335e-31 y[1] (closed_form) 0.330245e-1+/-0.86e-32 y[1] (numeric) 0.330245044146681623125348357844410556e-1+/-0.911e-32 absolute error 0.44146681623125348357844410556e-8+/-0.177e-31 relative error 0.133678576884208234364924254889551696e-4+/-0.535e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.258e0+/-0.340e-31 y[1] (closed_form) 0.33282e-1+/-0.875e-32 y[1] (numeric) 0.332820045023554436175433215445087329e-1+/-0.928e-32 absolute error 0.45023554436175433215445087329e-8+/-0.18e-31 relative error 0.135278992957681128584355168947178655e-4+/-0.54e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.259e0+/-0.345e-31 y[1] (closed_form) 0.335405e-1+/-0.89e-32 y[1] (numeric) 0.335405045903991754712162727918128739e-1+/-0.945e-32 absolute error 0.45903991754712162727918128739e-8+/-0.183e-31 relative error 0.136861381776396185888457622095675377e-4+/-0.545e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26e0+/-0.350e-31 y[1] (closed_form) 0.338e-1+/-0.91e-32 y[1] (numeric) 0.338000046787995460444271882287002449e-1+/-0.962e-32 absolute error 0.46787995460444271882287002449e-8+/-0.187e-31 relative error 0.138426022072320331012683439198224852e-4+/-0.553e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.261e0+/-0.355e-31 y[1] (closed_form) 0.340605e-1+/-0.925e-32 y[1] (numeric) 0.340605047675567443709361990999665476e-1+/-0.979e-32 absolute error 0.47675567443709361990999665476e-8+/-0.19e-31 relative error 0.13997318725124223658196346347235067e-4+/-0.557e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.262e0+/-0.360e-31 y[1] (closed_form) 0.34322e-1+/-0.94e-32 y[1] (numeric) 0.343220048566709603490615833593377962e-1+/-0.996e-32 absolute error 0.48566709603490615833593377962e-8+/-0.193e-31 relative error 0.141503145514511438242507365427422644e-4+/-0.562e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.263e0+/-0.365e-31 y[1] (closed_form) 0.345845e-1+/-0.955e-32 y[1] (numeric) 0.34584504946142384743360219873894711e-1+/-0.101e-31 absolute error 0.4946142384743360219873894711e-8+/-0.196e-31 relative error 0.143016159977543703678639121889863956e-4+/-0.566e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.264e0+/-0.370e-31 y[1] (closed_form) 0.34848e-1+/-0.975e-32 y[1] (numeric) 0.348480050359712091863170152857715458e-1+/-0.102e-31 absolute error 0.50359712091863170152857715458e-8+/-0.199e-31 relative error 0.14451248878519045613193788871097337e-4+/-0.571e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.265e0+/-0.375e-31 y[1] (closed_form) 0.351125e-1+/-0.99e-32 y[1] (numeric) 0.351125051261576261800433363571141587e-1+/-0.103e-31 absolute error 0.51261576261800433363571141587e-8+/-0.202e-31 relative error 0.145992385224066737952498801244571021e-4+/-0.575e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.266e0+/-0.380e-31 y[1] (closed_form) 0.35378e-1+/-0.101e-31 y[1] (numeric) 0.353780052167018290979844808320622631e-1+/-0.104e-31 absolute error 0.52167018290979844808320622631e-8+/-0.205e-31 relative error 0.147456097831929009012156206204420826e-4+/-0.579e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h -0.1e-2+/-0.5e-33 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = arctan ( tan ( x ) ) ; Iterations 67 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 3 Minutes 2 Seconds Time to Timeout 0.0 Seconds Percent Done 0.0%