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/tanpostode.ode################# diff ( y , x , 1 ) = tan ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(1.5) $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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(1.570796327) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.0) # 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(neg(ln(cos(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) 0.50083556232353090791329977212668044e-2+/-0.106e-32 y[1] (numeric) 0.50083556232353090791329977212668044e-2+/-0.106e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.212e-32 relative error 0.0e0+/-0.423292625261006830494002121605310644e-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) 0.60622403465323032306356113409132167e-2+/-0.665e-32 y[1] (numeric) 0.606224034653230323063557599446551149e-2+/-0.157e-32 absolute error 0.3534644770521e-25+/-0.822e-32 relative error 0.583059161048088825629417418285422004e-21+/-0.135e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.7217346646627736800089460466216673e-2+/-0.13e-31 y[1] (numeric) 0.72173466466277368000893862771260417e-2+/-0.218e-32 absolute error 0.741890906313e-25+/-0.151e-31 relative error 0.102792749557019574021535673896644008e-20+/-0.209e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.847390864908229393984707556703236e-2+/-0.207e-31 y[1] (numeric) 0.847390864908229393984695900740718419e-2+/-0.289e-32 absolute error 0.11655962517581e-24+/-0.235e-31 relative error 0.13755119390912144943073829120769981e-20+/-0.277e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.98321816582955505386607580817519863e-2+/-0.293e-31 y[1] (numeric) 0.983218165829555053866059558900148452e-2+/-0.37e-32 absolute error 0.16249275050178e-24+/-0.330e-31 relative error 0.165266220813447411532371204368954772e-20+/-0.335e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.11292442366641786981368027419826979e-1+/-0.392e-31 y[1] (numeric) 0.112924423666417869813678153935975889e-1+/-0.462e-32 absolute error 0.2120262293901e-24+/-0.438e-31 relative error 0.187759408023574982246768105828343779e-20+/-0.387e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.12854989082009649242948557584920264e-1+/-0.5e-31 y[1] (numeric) 0.128549890820096492429482923839653645e-1+/-0.563e-32 absolute error 0.2652009548995e-24+/-0.556e-31 relative error 0.2063019682145389582671550890500688e-20+/-0.432e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.14520141974147117510638725229191018e-1+/-0.615e-31 y[1] (numeric) 0.145201419741471175106384031681682212e-1+/-0.675e-32 absolute error 0.3220610227968e-24+/-0.682e-31 relative error 0.221802943366686457381298256416222909e-20+/-0.469e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.16288243340248848521775773334462147e-1+/-0.745e-31 y[1] (numeric) 0.162882433402488485217753906806518316e-1+/-0.797e-32 absolute error 0.3826538103154e-24+/-0.824e-31 relative error 0.23492638360199860058785899570429586e-20+/-0.505e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.18159657890259910149161840872718915e-1+/-0.891e-31 y[1] (numeric) 0.181596578902599101491613938426577463e-1+/-0.93e-32 absolute error 0.4470300611687e-24+/-0.984e-31 relative error 0.246166565400149111028665374717130425e-20+/-0.541e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.20134773052408348925755928105683282e-1+/-0.102e-30 y[1] (numeric) 0.201347730524083489257554128617060189e-1+/-0.105e-31 absolute error 0.5152439772631e-24+/-0.112e-30 relative error 0.255897583708533994584657832292495708e-20+/-0.556e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.22213999299519054687682950444786162e-1+/-0.118e-30 y[1] (numeric) 0.222139992995190546876823630914687952e-1+/-0.115e-31 absolute error 0.5873533173668e-24+/-0.129e-30 relative error 0.264406831677318240765399203600722176e-20+/-0.58e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.24397770496703150585626911321448704e-1+/-0.137e-30 y[1] (numeric) 0.243977704967031505856262479019456752e-1+/-0.125e-31 absolute error 0.6634195030288e-24+/-0.149e-30 relative error 0.271918084940772476693902728672702849e-20+/-0.61e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.26686544271060789125605597428336561e-1+/-0.155e-30 y[1] (numeric) 0.266865442710607891256048539206044947e-1+/-0.135e-31 absolute error 0.7435077320663e-24+/-0.168e-30 relative error 0.278607722496527496539211581520709422e-20+/-0.629e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.29080802404080932719476939417643672e-1+/-0.173e-30 y[1] (numeric) 0.29080802404080932719476111730543611e-1+/-0.145e-31 absolute error 0.827687100061e-24+/-0.187e-30 relative error 0.284616321296846332614348307912843115e-20+/-0.643e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.31581051247469607713948928307465939e-1+/-0.195e-30 y[1] (numeric) 0.315810512474696077139480122767357708e-1+/-0.161e-31 absolute error 0.9160307301682e-24+/-0.211e-30 relative error 0.290057073461604866025534662208061773e-20+/-0.668e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) 0.34187822163188422429682548760626503e-1+/-0.218e-30 y[1] (numeric) 0.341878221631884224296815401447147291e-1+/-0.181e-31 absolute error 0.10086159117739e-23+/-0.236e-30 relative error 0.295021983839591415772018989065940109e-20+/-0.69e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) 0.36901671988538022962828423907476116e-1+/-0.24e-30 y[1] (numeric) 0.369016719885380229628273183832277888e-1+/-0.201e-31 absolute error 0.11055242483272e-23+/-0.26e-30 relative error 0.299586492631170032056684111702441523e-20+/-0.704e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.905e-31 y[1] (closed_form) 0.39723183527176829264819318516815801e-1+/-0.266e-30 y[1] (numeric) 0.39723183527176829264818111675000808e-1+/-0.221e-31 absolute error 0.1206841814993e-23+/-0.288e-30 relative error 0.303812964579571698556898915680913057e-20+/-0.725e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.955e-31 y[1] (closed_form) 0.42652966067024066730561115622537358e-1+/-0.292e-30 y[1] (numeric) 0.426529660670240667305598029632108087e-1+/-0.241e-31 absolute error 0.13126593265493e-23+/-0.316e-30 relative error 0.307753351662956306991363151571456775e-20+/-0.74e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.1e-30 y[1] (closed_form) 0.45691655926058019453301984654094284e-1+/-0.317e-30 y[1] (numeric) 0.456916559260580194533005615817781187e-1+/-0.261e-31 absolute error 0.14230723161653e-23+/-0.343e-30 relative error 0.311451245817886792273649412098586804e-20+/-0.75e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = tan ( x ) ; Iterations 201 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 17 Minutes 53 Seconds Optimized Time Remaining 17 Minutes 53 Seconds Expected Total Time 20 Minutes 54 Seconds Time to Timeout 0.0 Seconds Percent Done 0.144285714285714285714285714285714285e2+/-0.715e-29%