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/tanh_sqrtpostode.ode################# diff ( y , x , 1 ) = tanh ( sqrt ( 2.0 * x + 3.0 ) ) ; ! #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 $glob_max_h=0.1 # 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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-1.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.5) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #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(c(0.0)) 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.0e0+/-0.50000000000000000000000000000005e-31 absolute error 0.0e0+/-0.50e-31 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1600000000000000000000000000000853e1+/-0.553e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.947061183587297335534695363009578e-1+/-0.187e-29 absolute error 0.947061183587297335534695363009578e-1+/-0.187e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.170000000000000000000000000000078e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1899474278336101997199870498818233e0+/-0.375e-29 absolute error 0.1899474278336101997199870498818233e0+/-0.375e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1800000000000000000000000000000723e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2856578963298884927771445819719546e0+/-0.565e-29 absolute error 0.2856578963298884927771445819719546e0+/-0.565e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.190000000000000000000000000000063e1+/-0.552e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3817812721810266212066282168292053e0+/-0.758e-29 absolute error 0.3817812721810266212066282168292053e0+/-0.758e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1999999999999999999999999999999974e1+/-0.553e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4782693785040239901719698554695383e0+/-0.955e-29 absolute error 0.4782693785040239901719698554695383e0+/-0.955e-29 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.209999999999999999999999999999996e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.5750807510637100458785422730334778e0+/-0.114e-28 absolute error 0.5750807510637100458785422730334778e0+/-0.114e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2199999999999999999999999999999949e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.6721795411526517196019302071129834e0+/-0.132e-28 absolute error 0.6721795411526517196019302071129834e0+/-0.132e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2299999999999999999999999999999943e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.7695346250323299621831297167290103e0+/-0.151e-28 absolute error 0.7695346250323299621831297167290103e0+/-0.151e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2399999999999999999999999999999937e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.8671188758796046819752916643746342e0+/-0.17e-28 absolute error 0.8671188758796046819752916643746342e0+/-0.17e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.249999999999999999999999999999992e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.9649085646711758658076989869836674e0+/-0.19e-28 absolute error 0.9649085646711758658076989869836674e0+/-0.19e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2599999999999999999999999999999914e1+/-0.556e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1062882864175195483992992280701178e1+/-0.21e-28 absolute error 0.1062882864175195483992992280701178e1+/-0.21e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2699999999999999999999999999999907e1+/-0.556e-28 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1161023435990771469422575130242967e1+/-0.23e-28 absolute error 0.1161023435990771469422575130242967e1+/-0.23e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2799999999999999999999999999999878e1+/-0.11e-27 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1259314084926895097217489802890205e1+/-0.25e-28 absolute error 0.1259314084926895097217489802890205e1+/-0.25e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2899999999999999999999999999999864e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1357740468323631168184329762212378e1+/-0.27e-28 absolute error 0.1357740468323631168184329762212378e1+/-0.27e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2999999999999999999999999999999852e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1456289850460982773973206185878737e1+/-0.29e-28 absolute error 0.1456289850460982773973206185878737e1+/-0.29e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3099999999999999999999999999999825e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1554950894169228153327053641971179e1+/-0.31e-28 absolute error 0.1554950894169228153327053641971179e1+/-0.31e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3200000000000000000000000000004673e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1653713483290071941499567080628587e1+/-0.33e-28 absolute error 0.1653713483290071941499567080628587e1+/-0.33e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3300000000000000000000000000004697e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1752568570844402463691852673397414e1+/-0.35e-28 absolute error 0.1752568570844402463691852673397414e1+/-0.35e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3400000000000000000000000000004536e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1851508048716673905282566013318341e1+/-0.37e-28 absolute error 0.1851508048716673905282566013318341e1+/-0.37e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3500000000000000000000000000004443e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.1950524635425404601636637074429657e1+/-0.39e-28 absolute error 0.1950524635425404601636637074429657e1+/-0.39e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3600000000000000000000000000004026e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2049611779157317217077461189299035e1+/-0.413e-28 absolute error 0.2049611779157317217077461189299035e1+/-0.413e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3700000000000000000000000000003928e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.214876357373214789096189122038739e1+/-0.459e-28 absolute error 0.214876357373214789096189122038739e1+/-0.459e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3800000000000000000000000000003889e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2247974685561297378828499708599255e1+/-0.508e-28 absolute error 0.2247974685561297378828499708599255e1+/-0.508e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3900000000000000000000000000003747e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2347240289985685808427497112324353e1+/-0.554e-28 absolute error 0.2347240289985685808427497112324353e1+/-0.554e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4000000000000000000000000000003566e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2446556015641445855897437533069803e1+/-0.6e-28 absolute error 0.2446556015641445855897437533069803e1+/-0.6e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4100000000000000000000000000003566e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2545917895718182584404673839906688e1+/-0.648e-28 absolute error 0.2545917895718182584404673839906688e1+/-0.648e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4200000000000000000000000000003443e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2645322325152651174603887732747786e1+/-0.696e-28 absolute error 0.2645322325152651174603887732747786e1+/-0.696e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4300000000000000000000000000003059e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2744766022948122938820504387103808e1+/-0.744e-28 absolute error 0.2744766022948122938820504387103808e1+/-0.744e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4400000000000000000000000000003145e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2844245998932189131828163967408477e1+/-0.795e-28 absolute error 0.2844245998932189131828163967408477e1+/-0.795e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4500000000000000000000000000002758e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.2943759524367885686173520568761262e1+/-0.843e-28 absolute error 0.2943759524367885686173520568761262e1+/-0.843e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4600000000000000000000000000002972e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3043304105918489988210745120827228e1+/-0.894e-28 absolute error 0.3043304105918489988210745120827228e1+/-0.894e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4700000000000000000000000000002708e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3142877462538103838359222482587618e1+/-0.942e-28 absolute error 0.3142877462538103838359222482587618e1+/-0.942e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4800000000000000000000000000002791e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3242477504920587140257515780888484e1+/-0.992e-28 absolute error 0.3242477504920587140257515780888484e1+/-0.992e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4900000000000000000000000000002424e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.334210231719048574668144931817385e1+/-0.103e-27 absolute error 0.334210231719048574668144931817385e1+/-0.103e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5000000000000000000000000000002586e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3441750140562885492283303152315819e1+/-0.143e-27 absolute error 0.3441750140562885492283303152315819e1+/-0.143e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5100000000000000000000000000002517e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3541419358735915746694695403937435e1+/-0.185e-27 absolute error 0.3541419358735915746694695403937435e1+/-0.185e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5200000000000000000000000000002329e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3641108484810980960122150212735396e1+/-0.227e-27 absolute error 0.3641108484810980960122150212735396e1+/-0.227e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5300000000000000000000000000002233e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3740816149562591558459464489531127e1+/-0.269e-27 absolute error 0.3740816149562591558459464489531127e1+/-0.269e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.540000000000000000000000000000205e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3840541090902618322911171702493531e1+/-0.311e-27 absolute error 0.3840541090902618322911171702493531e1+/-0.311e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.550000000000000000000000000000202e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.3940282144403505732941308540692238e1+/-0.353e-27 absolute error 0.3940282144403505732941308540692238e1+/-0.353e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5600000000000000000000000000001962e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4040038234761947521310980565718283e1+/-0.395e-27 absolute error 0.4040038234761947521310980565718283e1+/-0.395e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5700000000000000000000000000002075e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4139808368099167155869408913040421e1+/-0.437e-27 absolute error 0.4139808368099167155869408913040421e1+/-0.437e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5800000000000000000000000000001868e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4239591625006604510278271259795614e1+/-0.479e-27 absolute error 0.4239591625006604510278271259795614e1+/-0.479e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5900000000000000000000000000001753e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4339387154256779027518943222224549e1+/-0.522e-27 absolute error 0.4339387154256779027518943222224549e1+/-0.522e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6000000000000000000000000000001725e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4439194167108624335403994184580142e1+/-0.566e-27 absolute error 0.4439194167108624335403994184580142e1+/-0.566e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6099999999999999999999999999999623e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4539011932144876262009431834121966e1+/-0.61e-27 absolute error 0.4539011932144876262009431834121966e1+/-0.61e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6199999999999999999999999999999609e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4638839770586320297122749649403145e1+/-0.654e-27 absolute error 0.4638839770586320297122749649403145e1+/-0.654e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6299999999999999999999999999999603e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 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) 0.0e0+/-0.50e-31 y[1] (numeric) 0.4738677052034013883790166269636657e1+/-0.698e-27 absolute error 0.4738677052034013883790166269636657e1+/-0.698e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6399999999999999999999999999999583e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 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 ) = tanh ( sqrt ( 2.0 * x + 3.0 ) ) ; Iterations 98 Total Elapsed Time 4 Minutes 19 Seconds Elapsed Time(since restart) 4 Minutes 19 Seconds Time to Timeout 15 Minutes 41 Seconds Percent Done 0.1010204081632653061224489795918367e3+/-0.914e-29%