##############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=0.1 x_end=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]=1.570796327 # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=0.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=0.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=16 $glob_max_minutes=3.0 $glob_subiter_method=3 $glob_max_iter=100000000 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(-ln(cos(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 1400000.0 step_error 2.1128856368212915e-21 est_needed_step_err 2.1128856368212915e-21 opt_iter 1 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 1400000.0 step_error 2.1128856368212915e-21 est_needed_step_err 2.1128856368212915e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.6073179162340723e-224 estimated_step_error 2.6073179162340723e-224 Double H and LOOP opt_iter 2 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 2.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 700000.0 step_error 2.988071523335984e-21 est_needed_step_err 2.988071523335984e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.791735810320469e-213 estimated_step_error 1.791735810320469e-213 Double H and LOOP opt_iter 3 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 4.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 350000.0 step_error 4.225771273642583e-21 est_needed_step_err 4.225771273642583e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2312722724702126e-202 estimated_step_error 1.2312722724702126e-202 Double H and LOOP opt_iter 4 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 8.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 175000.0 step_error 5.976143046671968e-21 est_needed_step_err 5.976143046671968e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.461249611502436e-192 estimated_step_error 8.461249611502436e-192 Double H and LOOP opt_iter 5 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 1.6e-05 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 87500.0 step_error 8.451542547285166e-21 est_needed_step_err 8.451542547285166e-21 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.814541553514751e-181 estimated_step_error 5.814541553514751e-181 Double H and LOOP opt_iter 6 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 3.2e-05 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 43750.0 step_error 1.1952286093343936e-20 est_needed_step_err 1.1952286093343936e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.995743276974895e-170 estimated_step_error 3.995743276974895e-170 Double H and LOOP opt_iter 7 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 6.4e-05 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 21875.0 step_error 1.6903085094570332e-20 est_needed_step_err 1.6903085094570332e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.7458823862997036e-159 estimated_step_error 2.7458823862997036e-159 Double H and LOOP opt_iter 8 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.000128 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 10937.5 step_error 2.3904572186687872e-20 est_needed_step_err 2.3904572186687872e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8869951991523483e-148 estimated_step_error 1.8869951991523483e-148 Double H and LOOP opt_iter 9 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.000256 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 5468.75 step_error 3.3806170189140665e-20 est_needed_step_err 3.3806170189140665e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2967870947616247e-137 estimated_step_error 1.2967870947616247e-137 Double H and LOOP opt_iter 10 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.000512 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 2734.375 step_error 4.7809144373375744e-20 est_needed_step_err 4.7809144373375744e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.912193509094155e-127 estimated_step_error 8.912193509094155e-127 Double H and LOOP opt_iter 11 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.001024 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 1367.1875 step_error 6.761234037828133e-20 est_needed_step_err 6.761234037828133e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.125430675184134e-116 estimated_step_error 6.125430675184134e-116 Double H and LOOP opt_iter 12 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.002048 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 683.59375 step_error 9.561828874675149e-20 est_needed_step_err 9.561828874675149e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.210763664037582e-105 estimated_step_error 4.210763664037582e-105 Double H and LOOP opt_iter 13 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.004096 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 341.796875 step_error 1.3522468075656266e-19 est_needed_step_err 1.3522468075656266e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.895540558816804e-94 estimated_step_error 2.895540558816804e-94 Double H and LOOP opt_iter 14 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.008192 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 170.8984375 step_error 1.9123657749350298e-19 est_needed_step_err 1.9123657749350298e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.992452611557418e-83 estimated_step_error 1.992452611557418e-83 Double H and LOOP opt_iter 15 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.016384 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 85.44921875 step_error 2.704493615131253e-19 est_needed_step_err 2.704493615131253e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.372863446145898e-72 estimated_step_error 1.372863446145898e-72 Double H and LOOP opt_iter 16 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.032768 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 42.724609375 step_error 3.8247315498700595e-19 est_needed_step_err 3.8247315498700595e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.484974912029792e-62 estimated_step_error 9.484974912029792e-62 Double H and LOOP opt_iter 17 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 min_size 0.005008355623235254 min_size 1.0 $glob_desired_digits_correct 16 estimated_h 0.065536 estimated_answer 1.0 desired_abs_gbl_error 1.0e-16 range 1.4 estimated_steps 21.3623046875 step_error 5.408987230262506e-19 est_needed_step_err 5.408987230262506e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.588923778676019e-51 estimated_step_error 6.588923778676019e-51 Double H and LOOP opt_iter 18 SETTING H FOR MAX H SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.005008355623235254 y[1] (numeric) 0.005008355623235254 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 14 Correct digits 16 h 0.1 Radius of convergence (given) for eq 1 1.470796327 Order of pole (given) 0.0 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] 0.2 y[1] (closed_form) 0.020134773052408354 y[1] (numeric) 0.020134773052408295 absolute error 5.898059818321144e-17 relative error 2.929290438471402e-13% Desired digits 16 Estimated correct digits 14 Correct digits 15 h 0.1 Radius of convergence (given) for eq 1 1.370796327 Order of pole (given) 0.0 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] 0.30000000000000004 y[1] (closed_form) 0.04569165592605806 y[1] (numeric) 0.045691655926057964 absolute error 9.71445146547012e-17 relative error 2.1260887285833614e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.1 Radius of convergence (given) for eq 1 1.270796327 Order of pole (given) 0.0 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] 0.4 y[1] (closed_form) 0.0822290190750554 y[1] (numeric) 0.08222901907505538 absolute error 2.7755575615628914e-17 relative error 3.375399089984853e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 Radius of convergence (given) for eq 1 1.1707963270000001 Order of pole (given) 0.0 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] 0.5 y[1] (closed_form) 0.13058424044372266 y[1] (numeric) 0.1305842404437227 absolute error 2.7755575615628914e-17 relative error 2.1254919829005414e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 Radius of convergence (given) for eq 1 1.070796327 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0707962723813842 Order of pole (three term test) 1.659252271497034e-06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6 y[1] (closed_form) 0.19196516941943767 y[1] (numeric) 0.1919651694194377 absolute error 2.7755575615628914e-17 relative error 1.4458651900014154e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.9707963270000001 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9707963263645768 Order of pole (three term test) 1.4488019827012867e-08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6970796326364577 y[1] (closed_form) 0.2656332437092748 y[1] (numeric) 0.2656332437092749 absolute error 5.551115123125783e-17 relative error 2.0897667195606214e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.09707963263645769 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.8737166943635424 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8737166941554337 Order of pole (three term test) 1.1254240739147829e-10 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 0.8630858045262876 y[1] (closed_form) 0.430635524569811 y[1] (numeric) 0.43063552456981097 absolute error 5.551115123125783e-17 relative error 1.2890518330254202e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.07863450247428647 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.7077105224737125 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7077105222686036 Order of pole (three term test) 2.721702629598056e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.933856856753148 y[1] (closed_form) 0.5196346257091969 y[1] (numeric) 0.5196346257091968 absolute error 1.1102230246251565e-16 relative error 2.1365455065853723e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.07077105222686036 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.636939470246852 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6369394700417575 Order of pole (three term test) 4.0825539443876825e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9975508037573237 y[1] (closed_form) 0.6118223212907992 y[1] (numeric) 0.6118223212907993 absolute error 1.1102230246251565e-16 relative error 1.81461673755683e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.06369394700417576 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.5732455232426763 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5732455230375811 Order of pole (three term test) 4.0825539443812504e-13 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.1064674531344627 y[1] (closed_form) 0.8033575861488359 y[1] (numeric) 0.8033575861488356 absolute error 3.3306690738754696e-16 relative error 4.145935921066171e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.051592097073380694 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.46432887386553734 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4643288736604413 Order of pole (three term test) 5.443405259186483e-13 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.2323005778964413 y[1] (closed_form) 1.102413778295177 y[1] (numeric) 1.1024137782951764 absolute error 6.661338147750939e-16 relative error 6.042502623699367e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.03761063876649486 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.33849574910355873 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.338495748898459 Order of pole (three term test) 4.082553944386671e-13 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.3240329258479233 y[1] (closed_form) 1.4094946675472662 y[1] (numeric) 1.409494667547265 absolute error 1.1102230246251565e-15 relative error 7.876745121406614e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.027418155660775115 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.24676340115207673 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2467634009469704 Order of pole (three term test) 2.7217026295882356e-13 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.4088948594335873 y[1] (closed_form) 1.8251398592543053 y[1] (numeric) 1.825139859254303 absolute error 2.220446049250313e-15 relative error 1.2165895331207755e-13% Desired digits 16 Estimated correct digits 13 Correct digits 15 h 0.01798905192903416 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.16190146756641277 Order of pole (given) 0.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16190146736131195 Order of pole (three term test) 5.44340525918478e-13 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE Finished! diff ( y , x , 1 ) = tan ( x ) ; Iterations 30 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.63191077424314%