Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/mult_div_sinh_cosh_tanhpostode.ode################# diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return((sinh(c(0.1)) * cosh(c(0.05)) / tanh(c(0.02))) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.5015267822632982441533503570835979e0+/-0.179e-29 y[1] (numeric) 0.5015267822632982441533503570835979e0+/-0.181e-29 absolute error 0.0e0+/-0.360e-29 relative error 0.0e0+/-0.7178081265678098535437530953470004e-27% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.2e0+/-0.5e-31 y[1] (closed_form) 0.1003053564526596488306700714167195e1+/-0.333e-29 y[1] (numeric) 0.1003053564526596488306700714167195e1+/-0.349e-29 absolute error 0.0e0+/-0.682e-29 relative error 0.0e0+/-0.6799238087767310001622772375366814e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.3e0+/-0.5e-31 y[1] (closed_form) 0.1504580346789894732460051071250793e1+/-0.487e-29 y[1] (numeric) 0.1504580346789894732460051071250791e1+/-0.522e-29 absolute error 0.2e-32+/-0.1e-28 relative error 0.1329274308458907136192135361744216e-30+/-0.664e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.4e0+/-0.5e-31 y[1] (closed_form) 0.2006107129053192976613401428334391e1+/-0.641e-29 y[1] (numeric) 0.2006107129053192976613401428334387e1+/-0.7e-29 absolute error 0.4e-32+/-0.134e-28 relative error 0.1993911462688360704288203042616324e-30+/-0.667e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.5e0+/-0.5e-31 y[1] (closed_form) 0.2507633911316491220766751785417989e1+/-0.795e-29 y[1] (numeric) 0.2507633911316491220766751785417983e1+/-0.928e-29 absolute error 0.6e-32+/-0.172e-28 relative error 0.2392693755226032845145843651139589e-30+/-0.685e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.6e0+/-0.5e-31 y[1] (closed_form) 0.3009160693579789464920102142501587e1+/-0.949e-29 y[1] (numeric) 0.3009160693579789464920102142501579e1+/-0.115e-28 absolute error 0.8e-32+/-0.209e-28 relative error 0.2658548616917814272384270723488432e-30+/-0.694e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.7e0+/-0.5e-31 y[1] (closed_form) 0.3510687475843087709073452499585185e1+/-0.11e-28 y[1] (numeric) 0.3510687475843087709073452499585175e1+/-0.133e-28 absolute error 0.1e-31+/-0.243e-28 relative error 0.2848444946697658148983147203737605e-30+/-0.692e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.8e0+/-0.5e-31 y[1] (closed_form) 0.4012214258106385953226802856668783e1+/-0.125e-28 y[1] (numeric) 0.4012214258106385953226802856668771e1+/-0.152e-28 absolute error 0.12e-31+/-0.277e-28 relative error 0.2990867194032541056432304563924485e-30+/-0.69e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.9e0+/-0.5e-31 y[1] (closed_form) 0.4513741040369684197380153213752381e1+/-0.141e-28 y[1] (numeric) 0.4513741040369684197380153213752367e1+/-0.172e-28 absolute error 0.14e-31+/-0.313e-28 relative error 0.310164005307078331778164917740317e-30+/-0.693e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.1e1+/-0.5e-31 y[1] (closed_form) 0.5015267822632982441533503570835979e1+/-0.156e-28 y[1] (numeric) 0.5015267822632982441533503570835963e1+/-0.192e-28 absolute error 0.16e-31+/-0.348e-28 relative error 0.3190258340301377126861124868186118e-30+/-0.693e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.11e1+/-0.5e-31 y[1] (closed_form) 0.5516794604896280685686853927919576e1+/-0.171e-28 y[1] (numeric) 0.5516794604896280685686853927919559e1+/-0.218e-28 absolute error 0.17e-31+/-0.389e-28 relative error 0.3081499533245648361172677429497955e-30+/-0.705e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.12e1+/-0.5e-31 y[1] (closed_form) 0.6018321387159578929840204285003174e1+/-0.187e-28 y[1] (numeric) 0.6018321387159578929840204285003155e1+/-0.239e-28 absolute error 0.19e-31+/-0.426e-28 relative error 0.3157026482589904448456321484142513e-30+/-0.707e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.13e1+/-0.5e-31 y[1] (closed_form) 0.6519848169422877173993554642086772e1+/-0.202e-28 y[1] (numeric) 0.6519848169422877173993554642086751e1+/-0.261e-28 absolute error 0.21e-31+/-0.463e-28 relative error 0.3220933901265813445388635684226369e-30+/-0.71e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.14e1+/-0.5e-31 y[1] (closed_form) 0.702137495168617541814690499917037e1+/-0.218e-28 y[1] (numeric) 0.7021374951686175418146904999170347e1+/-0.283e-28 absolute error 0.23e-31+/-0.501e-28 relative error 0.3275711688702306871330619284298246e-30+/-0.713e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.15e1+/-0.5e-31 y[1] (closed_form) 0.7522901733949473662300255356253968e1+/-0.233e-28 y[1] (numeric) 0.7522901733949473662300255356253943e1+/-0.305e-28 absolute error 0.25e-31+/-0.538e-28 relative error 0.3323185771147267840480338404360539e-30+/-0.715e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.16e1+/-0.5e-31 y[1] (closed_form) 0.8024428516212771906453605713337566e1+/-0.248e-28 y[1] (numeric) 0.8024428516212771906453605713337539e1+/-0.337e-28 absolute error 0.27e-31+/-0.585e-28 relative error 0.3364725593286608688486342634415046e-30+/-0.729e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.17e1+/-0.5e-31 y[1] (closed_form) 0.8525955298476070150606956070421164e1+/-0.264e-28 y[1] (numeric) 0.8525955298476070150606956070421135e1+/-0.361e-28 absolute error 0.29e-31+/-0.625e-28 relative error 0.3401378377527203554373993425639611e-30+/-0.733e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.18e1+/-0.5e-31 y[1] (closed_form) 0.9027482080739368394760306427504762e1+/-0.279e-28 y[1] (numeric) 0.9027482080739368394760306427504731e1+/-0.385e-28 absolute error 0.31e-31+/-0.664e-28 relative error 0.3433958630185510101829683017839224e-30+/-0.735e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.19e1+/-0.5e-31 y[1] (closed_form) 0.952900886300266663891365678458836e1+/-0.295e-28 y[1] (numeric) 0.9529008863002666638913656784588327e1+/-0.409e-28 absolute error 0.33e-31+/-0.704e-28 relative error 0.3463109382563994907447931600333615e-30+/-0.738e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.2e1+/-0.5e-31 y[1] (closed_form) 0.1003053564526596488306700714167195e2+/-0.31e-28 y[1] (numeric) 0.1003053564526596488306700714167192e2+/-0.439e-28 absolute error 0.3e-31+/-0.749e-28 relative error 0.2990867194032541056432304563924488e-30+/-0.746e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.21e1+/-0.5e-31 y[1] (closed_form) 0.1053206242752926312722035749875555e2+/-0.325e-28 y[1] (numeric) 0.105320624275292631272203574987555e2+/-0.48e-28 absolute error 0.5e-31+/-0.805e-28 relative error 0.4747408244496096914971912006229345e-30+/-0.764e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.22e1+/-0.5e-31 y[1] (closed_form) 0.1103358920979256137137370785583915e2+/-0.341e-28 y[1] (numeric) 0.1103358920979256137137370785583908e2+/-0.511e-28 absolute error 0.7e-31+/-0.852e-28 relative error 0.634426374491751133182610059014285e-30+/-0.772e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.23e1+/-0.5e-31 y[1] (closed_form) 0.1153511599205585961552705821292275e2+/-0.356e-28 y[1] (numeric) 0.1153511599205585961552705821292266e2+/-0.552e-28 absolute error 0.9e-31+/-0.908e-28 relative error 0.7802262245302281016779924949368224e-30+/-0.787e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.24e1+/-0.5e-31 y[1] (closed_form) 0.1203664277431915785968040857000634e2+/-0.372e-28 y[1] (numeric) 0.1203664277431915785968040857000624e2+/-0.595e-28 absolute error 0.1e-30+/-0.967e-28 relative error 0.8307964427868169601200846010901356e-30+/-0.803e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.25e1+/-0.5e-31 y[1] (closed_form) 0.1253816955658245610383375892708994e2+/-0.387e-28 y[1] (numeric) 0.1253816955658245610383375892708982e2+/-0.641e-28 absolute error 0.12e-30+/-0.102e-27 relative error 0.957077502090413138058337460455836e-30+/-0.813e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.26e1+/-0.5e-31 y[1] (closed_form) 0.1303969633884575434798710928417354e2+/-0.402e-28 y[1] (numeric) 0.130396963388457543479871092841734e2+/-0.687e-28 absolute error 0.14e-30+/-0.108e-27 relative error 0.107364463375527114846287856140879e-29+/-0.828e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.27e1+/-0.5e-31 y[1] (closed_form) 0.1354122312110905259214045964125714e2+/-0.418e-28 y[1] (numeric) 0.1354122312110905259214045964125698e2+/-0.733e-28 absolute error 0.16e-30+/-0.115e-27 relative error 0.1181577163074584121059675877105969e-29+/-0.849e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.28e1+/-0.5e-31 y[1] (closed_form) 0.1404274990337235083629380999834074e2+/-0.433e-28 y[1] (numeric) 0.1404274990337235083629380999834056e2+/-0.781e-28 absolute error 0.18e-30+/-0.121e-27 relative error 0.1281800226013946167042416241681922e-29+/-0.861e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.29e1+/-0.5e-31 y[1] (closed_form) 0.1454427668563564908044716035542433e2+/-0.449e-28 y[1] (numeric) 0.1454427668563564908044716035542414e2+/-0.832e-28 absolute error 0.19e-30+/-0.128e-27 relative error 0.1306355785899270806257788200334833e-29+/-0.88e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.3e1+/-0.5e-31 y[1] (closed_form) 0.1504580346789894732460051071250793e2+/-0.464e-28 y[1] (numeric) 0.1504580346789894732460051071250772e2+/-0.883e-28 absolute error 0.21e-30+/-0.134e-27 relative error 0.1395738023881852493001742129831427e-29+/-0.89e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.31e1+/-0.5e-31 y[1] (closed_form) 0.1554733025016224556875386106959153e2+/-0.479e-28 y[1] (numeric) 0.155473302501622455687538610695913e2+/-0.92e-28 absolute error 0.23e-30+/-0.139e-27 relative error 0.1479353665865557941891247418715337e-29+/-0.894e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.32e1+/-0.5e-31 y[1] (closed_form) 0.1604885703242554381290721142667513e2+/-0.495e-28 y[1] (numeric) 0.1604885703242554381290721142667488e2+/-0.959e-28 absolute error 0.25e-30+/-0.145e-27 relative error 0.1557743330225281800225158627044003e-29+/-0.903e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.33e1+/-0.5e-31 y[1] (closed_form) 0.1655038381468884205706056178375873e2+/-0.51e-28 y[1] (numeric) 0.1655038381468884205706056178375846e2+/-0.1e-27 absolute error 0.27e-30+/-0.151e-27 relative error 0.1631382105835931485326711580322446e-29+/-0.912e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.34e1+/-0.5e-31 y[1] (closed_form) 0.1705191059695214030121391214084232e2+/-0.526e-28 y[1] (numeric) 0.1705191059695214030121391214084204e2+/-0.1e-27 absolute error 0.28e-30+/-0.152e-27 relative error 0.1642044733978649991766755446860502e-29+/-0.891e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.35e1+/-0.5e-31 y[1] (closed_form) 0.1755343737921543854536726249792592e2+/-0.541e-28 y[1] (numeric) 0.1755343737921543854536726249792562e2+/-0.1e-27 absolute error 0.3e-30+/-0.154e-27 relative error 0.1709066968018594889389888322242563e-29+/-0.877e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.36e1+/-0.5e-31 y[1] (closed_form) 0.1805496416147873678952061285500952e2+/-0.556e-28 y[1] (numeric) 0.180549641614787367895206128550092e2+/-0.1e-27 absolute error 0.32e-30+/-0.155e-27 relative error 0.1772365744611876181589513815658954e-29+/-0.858e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.37e1+/-0.5e-31 y[1] (closed_form) 0.1855649094374203503367396321209312e2+/-0.572e-28 y[1] (numeric) 0.1855649094374203503367396321209278e2+/-0.1e-27 absolute error 0.34e-30+/-0.157e-27 relative error 0.1832242965713628755291862255377162e-29+/-0.846e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.38e1+/-0.5e-31 y[1] (closed_form) 0.1905801772600533327782731356917672e2+/-0.587e-28 y[1] (numeric) 0.1905801772600533327782731356917636e2+/-0.1e-27 absolute error 0.36e-30+/-0.158e-27 relative error 0.1888968754125815404062508145636517e-29+/-0.829e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.39e1+/-0.5e-31 y[1] (closed_form) 0.1955954450826863152198066392626031e2+/-0.603e-28 y[1] (numeric) 0.1955954450826863152198066392625994e2+/-0.1e-27 absolute error 0.37e-30+/-0.16e-27 relative error 0.1891659592806906309196500322482154e-29+/-0.818e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.4e1+/-0.5e-31 y[1] (closed_form) 0.2006107129053192976613401428334391e2+/-0.618e-28 y[1] (numeric) 0.2006107129053192976613401428334352e2+/-0.101e-27 absolute error 0.39e-30+/-0.162e-27 relative error 0.1944063676121151686680997966550916e-29+/-0.807e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.41e1+/-0.5e-31 y[1] (closed_form) 0.2056259807279522801028736464042751e2+/-0.633e-28 y[1] (numeric) 0.205625980727952280102873646404271e2+/-0.103e-27 absolute error 0.41e-30+/-0.166e-27 relative error 0.1993911462688360704288203042616324e-29+/-0.807e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.42e1+/-0.5e-31 y[1] (closed_form) 0.2106412485505852625444071499751111e2+/-0.649e-28 y[1] (numeric) 0.2106412485505852625444071499751068e2+/-0.105e-27 absolute error 0.43e-30+/-0.169e-27 relative error 0.2041385545133321673437922162678617e-29+/-0.802e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.43e1+/-0.5e-31 y[1] (closed_form) 0.215656516373218244985940653545947e2+/-0.664e-28 y[1] (numeric) 0.2156565163732182449859406535459426e2+/-0.107e-27 absolute error 0.44e-30+/-0.173e-27 relative error 0.2040281496704369092760021718026006e-29+/-0.802e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.44e1+/-0.5e-31 y[1] (closed_form) 0.220671784195851227427474157116783e2+/-0.68e-28 y[1] (numeric) 0.2206717841958512274274741571167784e2+/-0.109e-27 absolute error 0.46e-30+/-0.177e-27 relative error 0.2084543801901468009028575908189793e-29+/-0.802e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.45e1+/-0.5e-31 y[1] (closed_form) 0.225687052018484209869007660687619e2+/-0.695e-28 y[1] (numeric) 0.2256870520184842098690076606876142e2+/-0.111e-27 absolute error 0.48e-30+/-0.18e-27 relative error 0.2126838893534251417907416578790745e-29+/-0.797e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.46e1+/-0.5e-31 y[1] (closed_form) 0.230702319841117192310541164258455e2+/-0.71e-28 y[1] (numeric) 0.23070231984111719231054116425845e2+/-0.117e-27 absolute error 0.5e-30+/-0.188e-27 relative error 0.2167295068139522504661090263713395e-29+/-0.814e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.47e1+/-0.5e-31 y[1] (closed_form) 0.235717587663750174752074667829291e2+/-0.726e-28 y[1] (numeric) 0.2357175876637501747520746678292858e2+/-0.121e-27 absolute error 0.52e-30+/-0.193e-27 relative error 0.2206029703399888438786948047149975e-29+/-0.818e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.48e1+/-0.5e-31 y[1] (closed_form) 0.2407328554863831571936081714001269e2+/-0.741e-28 y[1] (numeric) 0.2407328554863831571936081714001216e2+/-0.123e-27 absolute error 0.53e-30+/-0.197e-27 relative error 0.2201610573385064944318224192888858e-29+/-0.818e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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] 0.49e1+/-0.5e-31 y[1] (closed_form) 0.2457481233090161396351416749709629e2+/-0.757e-28 y[1] (numeric) 0.2457481233090161396351416749709574e2+/-0.125e-27 absolute error 0.55e-30+/-0.2e-27 relative error 0.2238063886691017117058187088650976e-29+/-0.813e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (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! diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; Iterations 98 Total Elapsed Time 3 Minutes 3 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Time to Timeout 16 Minutes 57 Seconds Percent Done 0.1010204081632653061224489795918367e3+/-0.914e-29%