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/ln_c_exp_c_sqrt_cpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 ) + exp ( 0.1 ) + sqrt ( 0.1 ) ; ! #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 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return((ln(c(0.1)) + exp(c(0.1)) + sqrt(c(0.1))) * 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-33 y[1] (closed_form) -0.88118640890156012600639427375080573e-1+/-0.712e-32 y[1] (numeric) -0.88118640890156012600639427375080573e-1+/-0.72e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1432e-31 relative error 0.0e0+/-0.162508180509167708704699964677804669e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) -0.9693050497917161386070337011258863e-1+/-0.121e-31 y[1] (numeric) -0.96930504979171613860703370112588623e-1+/-0.126e-31 absolute error 0.7e-35+/-0.247e-31 relative error 0.722166876310420239292089736379157477e-32+/-0.254e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) -0.10574236906818721512076731285009668e0+/-0.172e-31 y[1] (numeric) -0.10574236906818721512076731285009664e0+/-0.176e-31 absolute error 0.4e-34+/-0.348e-31 relative error 0.378277887591172506295856528579558704e-31+/-0.329e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) -0.11455423315720281638083125558760474e0+/-0.223e-31 y[1] (numeric) -0.11455423315720281638083125558760464e0+/-0.226e-31 absolute error 0.1e-33+/-0.449e-31 relative error 0.872948971364244245298130450568212369e-31+/-0.391e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) -0.1233660972462184176408951983251128e0+/-0.274e-31 y[1] (numeric) -0.12336609724621841764089519832511264e0+/-0.276e-31 absolute error 0.16e-33+/-0.550e-31 relative error 0.12969527574554485930143652408442012e-30+/-0.445e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) -0.13217796133523401890095914106262085e0+/-0.324e-31 y[1] (numeric) -0.13217796133523401890095914106262064e0+/-0.326e-31 absolute error 0.21e-33+/-0.650e-31 relative error 0.158876712788292452644259742003414655e-30+/-0.491e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) -0.14098982542424962016102308380012891e0+/-0.375e-31 y[1] (numeric) -0.14098982542424962016102308380012864e0+/-0.376e-31 absolute error 0.27e-33+/-0.751e-31 relative error 0.191503180593031081312277367593401589e-30+/-0.532e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) -0.14980168951326522142108702653763697e0+/-0.426e-31 y[1] (numeric) -0.14980168951326522142108702653763664e0+/-0.426e-31 absolute error 0.33e-33+/-0.852e-31 relative error 0.220291240420741636019351743113978294e-30+/-0.568e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) -0.15861355360228082268115096927514503e0+/-0.477e-31 y[1] (numeric) -0.15861355360228082268115096927514464e0+/-0.476e-31 absolute error 0.39e-33+/-0.953e-31 relative error 0.245880626934262129092306743576713142e-30+/-0.6e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ln ( 0.1 ) + exp ( 0.1 ) + sqrt ( 0.1 ) ; Iterations 82 Total Elapsed Time 3 Minutes 4 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 2 Hours 57 Minutes 58 Seconds Optimized Time Remaining 2 Hours 56 Minutes 2 Seconds Expected Total Time 2 Hours 59 Minutes 6 Seconds Time to Timeout 0.0 Seconds Percent Done 0.169387755102040816326530612244897959e1+/-0.867e-30%