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/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh ( 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(2.0) x_end=c(3.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb $glob_max_h=c(0.01) # 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(20.0) * sqrt(c(0.1) * c(x) + c(0.2)) * cosh( sqrt(c(0.1) * c(x) + c(0.2))) - c(20.0) * sinh( sqrt(c(0.1) * c(x) + c(0.2)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.50e-33 y[1] (closed_form) 0.17549809219803184187010599340973522e1+/-0.777e-30 y[1] (numeric) 0.17549809219803184187010599340973522e1+/-0.777e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1554e-29 relative error 0.0e0+/-0.885479711224705632968146314895818521e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.201e1+/-0.550e-32 y[1] (closed_form) 0.17617403966622585965278293328441525e1+/-0.103e-29 y[1] (numeric) 0.176173991981604078458737918417160124e1+/-0.777e-30 absolute error 0.47684621781194045014867255126e-6+/-0.18e-29 relative error 0.270667698098629759909561491617528017e-4+/-0.102e-27% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.202e1+/-0.105e-31 y[1] (closed_form) 0.17685094039062359947900629224476886e1+/-0.129e-29 y[1] (numeric) 0.176850845059733926386576670580528066e1+/-0.777e-30 absolute error 0.95330889673092429621664240794e-6+/-0.206e-29 relative error 0.539046552212434523162245925760474715e-4+/-0.116e-27% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.203e1+/-0.155e-31 y[1] (closed_form) 0.1775287936060635035086218334316141e1+/-0.153e-29 y[1] (numeric) 0.17752865066708717135705716259608184e1+/-0.777e-30 absolute error 0.14293897633215156467083553226e-5+/-0.23e-29 relative error 0.805159396561513488732370662900295674e-4+/-0.129e-27% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.204e1+/-0.205e-31 y[1] (closed_form) 0.17820759855082503122270827419927567e1+/-0.178e-29 y[1] (numeric) 0.178207408041771710609968627672239285e1+/-0.777e-30 absolute error 0.190509053320612739646527036385e-5+/-0.255e-29 relative error 0.106902878928745183698223884728361483e-3+/-0.143e-27% Desired digits 8 Estimated correct digits 13 Correct digits 4 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.205e1+/-0.255e-31 y[1] (closed_form) 0.17888735446660688106124986114891561e1+/-0.203e-29 y[1] (numeric) 0.17888711642531576497808671327951307e1+/-0.777e-30 absolute error 0.23804129111608316314786940254e-5+/-0.28e-29 relative error 0.133067701641548183902564649164969733e-3+/-0.156e-27% Desired digits 8 Estimated correct digits 13 Correct digits 4 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.206e1+/-0.305e-31 y[1] (closed_form) 0.17956806059850540249818430361273606e1+/-0.227e-29 y[1] (numeric) 0.17956777506264628148825403779496179e1+/-0.777e-30 absolute error 0.28553585912100993026581777427e-5+/-0.304e-29 relative error 0.159012609575060771556887093423627719e-3+/-0.169e-27% Desired digits 8 Estimated correct digits 13 Correct digits 4 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.207e1+/-0.355e-31 y[1] (closed_form) 0.180249716194993196428450157542104e1+/-0.252e-29 y[1] (numeric) 0.18024938320206752438007768040727787e1+/-0.777e-30 absolute error 0.33299292567204837247713482613e-5+/-0.329e-29 relative error 0.184739778070894921211344268232098245e-3+/-0.182e-27% Desired digits 8 Estimated correct digits 13 Correct digits 4 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.208e1+/-0.405e-31 y[1] (closed_form) 0.18093232050789790177051268251727412e1+/-0.278e-29 y[1] (numeric) 0.180931940095239852444290305999399536e1+/-0.777e-30 absolute error 0.380412658049326222376517874584e-5+/-0.355e-29 relative error 0.210251356408553206377629927384627259e-3+/-0.196e-27% Desired digits 8 Estimated correct digits 13 Correct digits 4 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sinh ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 84 Total Elapsed Time 3 Minutes 3 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 32 Minutes 49 Seconds Optimized Time Remaining 32 Minutes 39 Seconds Expected Total Time 35 Minutes 42 Seconds Time to Timeout 0.0 Seconds Percent Done 0.85e1+/-0.435e-29%