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_sqrtpostode.ode################# diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(10.0) x_end=c(11.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-2.0) # 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) # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(5.0) * ln(c(0.1) * c(x) + c(0.2)) * ( c(0.1) * c(x) + c(0.2)) - c(0.5) * c(x) - c(1.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e2+/-0.50e-32 y[1] (closed_form) -0.49060706592362722427296918490727543e1+/-0.302e-29 y[1] (numeric) -0.49060706592362722427296918490727543e1+/-0.302e-29 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.604e-29 relative error 0.0e0+/-0.123112780461670857327868917481537074e-27% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1001e2+/-0.100e-31 y[1] (closed_form) -0.49051569686974318339221256062812104e1+/-0.329e-29 y[1] (numeric) -0.49051569686945405741428985624499452e1+/-0.322e-29 absolute error 0.28912597792270438312652e-11+/-0.651e-29 relative error 0.589432672119934230364669405159956565e-10+/-0.132e-27% Desired digits 8 Estimated correct digits 13 Correct digits 11 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1002e2+/-0.150e-31 y[1] (closed_form) -0.49042391149607748218156070334546097e1+/-0.355e-29 y[1] (numeric) -0.4904239114954997113130606790111221e1+/-0.342e-29 absolute error 0.57777086850002433433887e-11+/-0.697e-29 relative error 0.117810501273783318014934678649460347e-9+/-0.142e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1003e2+/-0.200e-31 y[1] (closed_form) -0.49033171014898609214704209892838485e1+/-0.379e-29 y[1] (numeric) -0.49033171014812015627555990955559584e1+/-0.368e-29 absolute error 0.86593587148218937278901e-11+/-0.747e-29 relative error 0.176602053988936769742973308308559851e-9+/-0.152e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1004e2+/-0.250e-31 y[1] (closed_form) -0.49023909317424916419407154833730622e1+/-0.405e-29 y[1] (numeric) -0.49023909317309554201143810392998297e1+/-0.398e-29 absolute error 0.115362218263344440732325e-10+/-0.803e-29 relative error 0.23531827606073926015759699626481417e-9+/-0.163e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1005e2+/-0.300e-31 y[1] (closed_form) -0.49014606091707246339704923654992763e1+/-0.431e-29 y[1] (numeric) -0.49014606091563163240330064702932337e1+/-0.428e-29 absolute error 0.144083099374858952060426e-10+/-0.859e-29 relative error 0.293959517098386496417010228674309855e-9+/-0.175e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1006e2+/-0.350e-31 y[1] (closed_form) -0.49005261372208879900623640274882726e1+/-0.456e-29 y[1] (numeric) -0.49005261372036123551356696528520203e1+/-0.458e-29 absolute error 0.172756349266943746362523e-10+/-0.914e-29 relative error 0.35252612562314524316797068044489233e-9+/-0.186e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1007e2+/-0.400e-31 y[1] (closed_form) -0.48995875193335944971165357644797684e1+/-0.482e-29 y[1] (numeric) -0.48995875193134562884835238711011683e1+/-0.488e-29 absolute error 0.201382086330118933786001e-10+/-0.970e-29 relative error 0.41101844907448337490047991401886586e-9+/-0.197e-27% Desired digits 8 Estimated correct digits 13 Correct digits 10 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 75 Total Elapsed Time 3 Minutes 4 Seconds Elapsed Time(since restart) 3 Minutes 3 Seconds Expected Time Remaining 37 Minutes 17 Seconds Optimized Time Remaining 37 Minutes 4 Seconds Expected Total Time 40 Minutes 8 Seconds Time to Timeout 0.0 Seconds Percent Done 0.76e1+/-0.487e-29%