##############ECHO OF PROBLEM################# ##############temp/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=1.0 # ELIMINATED in preodein.rb x_end=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=0 #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(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))) 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 4.0 estimated_steps 4000000.0 step_error 1.6666666666666666e-21 est_needed_step_err 1.6666666666666666e-21 opt_iter 1 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 1.0e-06 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 4000000.0 step_error 1.7002324109946494e-20 est_needed_step_err 1.7002324109946494e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2339068916504653e-204 estimated_step_error 1.2339068916504653e-204 Double H and LOOP opt_iter 2 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 2.0e-06 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 2000000.0 step_error 2.404491734814939e-20 est_needed_step_err 2.404491734814939e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.280608999301457e-197 estimated_step_error 8.280608999301457e-197 Double H and LOOP opt_iter 3 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 4.0e-06 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 1000000.0 step_error 3.400464821989299e-20 est_needed_step_err 3.400464821989299e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.557022660245085e-189 estimated_step_error 5.557022660245085e-189 Double H and LOOP opt_iter 4 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 8.0e-06 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 500000.0 step_error 4.808983469629878e-20 est_needed_step_err 4.808983469629878e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.729254817808204e-181 estimated_step_error 3.729254817808204e-181 Double H and LOOP opt_iter 5 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 1.6e-05 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 250000.0 step_error 6.800929643978598e-20 est_needed_step_err 6.800929643978598e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.5026605952952342e-173 estimated_step_error 2.5026605952952342e-173 Double H and LOOP opt_iter 6 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 3.2e-05 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 125000.0 step_error 9.617966939259756e-20 est_needed_step_err 9.617966939259756e-20 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6795071642646807e-165 estimated_step_error 1.6795071642646807e-165 Double H and LOOP opt_iter 7 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 6.4e-05 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 62500.0 step_error 1.3601859287957195e-19 est_needed_step_err 1.3601859287957195e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1270982713286466e-157 estimated_step_error 1.1270982713286466e-157 Double H and LOOP opt_iter 8 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.000128 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 31250.0 step_error 1.9235933878519512e-19 est_needed_step_err 1.9235933878519512e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.563829703272082e-150 estimated_step_error 7.563829703272082e-150 Double H and LOOP opt_iter 9 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.000256 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 15625.0 step_error 2.720371857591439e-19 est_needed_step_err 2.720371857591439e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.07600185675094e-142 estimated_step_error 5.07600185675094e-142 Double H and LOOP opt_iter 10 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.000512 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 7812.5 step_error 3.8471867757039024e-19 est_needed_step_err 3.8471867757039024e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.4064494214255093e-134 estimated_step_error 3.4064494214255093e-134 Double H and LOOP opt_iter 11 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.001024 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 3906.25 step_error 5.440743715182878e-19 est_needed_step_err 5.440743715182878e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.2860325142463135e-126 estimated_step_error 2.2860325142463135e-126 Double H and LOOP opt_iter 12 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.002048 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 1953.125 step_error 7.694373551407805e-19 est_needed_step_err 7.694373551407805e-19 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.5341344839616792e-118 estimated_step_error 1.5341344839616792e-118 Double H and LOOP opt_iter 13 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.004096 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 976.5625 step_error 1.0881487430365756e-18 est_needed_step_err 1.0881487430365756e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0295456374346932e-110 estimated_step_error 1.0295456374346932e-110 Double H and LOOP opt_iter 14 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.008192 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 488.28125 step_error 1.538874710281561e-18 est_needed_step_err 1.538874710281561e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.909236469812383e-103 estimated_step_error 6.909236469812383e-103 Double H and LOOP opt_iter 15 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.016384 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 244.140625 step_error 2.1762974860731512e-18 est_needed_step_err 2.1762974860731512e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.636807622637179e-95 estimated_step_error 4.636807622637179e-95 Double H and LOOP opt_iter 16 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.032768 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 122.0703125 step_error 3.077749420563122e-18 est_needed_step_err 3.077749420563122e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.111839814042751e-87 estimated_step_error 3.111839814042751e-87 Double H and LOOP opt_iter 17 NO INFO (given) for Equation 1 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 10.201394465967896 $glob_desired_digits_correct 16 estimated_h 0.065536 estimated_answer 10.201394465967896 desired_abs_gbl_error 1.0201394465967895e-15 range 4.0 estimated_steps 61.03515625 step_error 4.3525949721463025e-18 est_needed_step_err 4.3525949721463025e-18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0884960511915275e-79 estimated_step_error 2.0884960511915275e-79 Double H and LOOP opt_iter 18 SETTING H FOR MAX H SETTING H FOR DISPLAY INTERVAL NO INFO (given) for Equation 1 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] 1.0 y[1] (closed_form) 10.201394465967896 y[1] (numeric) 10.201394465967896 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 14 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.1 y[1] (closed_form) 10.343800625845688 y[1] (numeric) 10.34380062584569 absolute error 1.7763568394002505e-15 relative error 1.7173154275245123e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.2000000000000002 y[1] (closed_form) 10.488194701634274 y[1] (numeric) 10.488194701634274 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.3000000000000003 y[1] (closed_form) 10.634604443605626 y[1] (numeric) 10.634604443605628 absolute error 1.7763568394002505e-15 relative error 1.670355346849161e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.4000000000000004 y[1] (closed_form) 10.783057989411095 y[1] (numeric) 10.783057989411095 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.5000000000000004 y[1] (closed_form) 10.933583869488992 y[1] (numeric) 10.933583869488992 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.6000000000000005 y[1] (closed_form) 11.086211012547711 y[1] (numeric) 11.086211012547711 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.7000000000000006 y[1] (closed_form) 11.240968751125369 y[1] (numeric) 11.240968751125369 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.8000000000000007 y[1] (closed_form) 11.397886827227053 y[1] (numeric) 11.397886827227053 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 1.9000000000000008 y[1] (closed_form) 11.556995398040769 y[1] (numeric) 11.556995398040769 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.000000000000001 y[1] (closed_form) 11.718325041733179 y[1] (numeric) 11.718325041733179 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.100000000000001 y[1] (closed_form) 11.881906763326246 y[1] (numeric) 11.881906763326246 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.200000000000001 y[1] (closed_form) 12.04777200065591 y[1] (numeric) 12.04777200065591 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.300000000000001 y[1] (closed_form) 12.215952630413945 y[1] (numeric) 12.215952630413945 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.4000000000000012 y[1] (closed_form) 12.386480974274162 y[1] (numeric) 12.38648097427416 absolute error 1.7763568394002505e-15 relative error 1.434109367373685e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.5000000000000013 y[1] (closed_form) 12.559389805104123 y[1] (numeric) 12.559389805104122 absolute error 1.7763568394002505e-15 relative error 1.4143655599242097e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.6000000000000014 y[1] (closed_form) 12.734712353263571 y[1] (numeric) 12.734712353263571 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.7000000000000015 y[1] (closed_form) 12.912482312990788 y[1] (numeric) 12.912482312990788 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.8000000000000016 y[1] (closed_form) 13.092733848878094 y[1] (numeric) 13.092733848878092 absolute error 1.7763568394002505e-15 relative error 1.3567501332446814e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 2.9000000000000017 y[1] (closed_form) 13.275501602437737 y[1] (numeric) 13.275501602437737 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.0000000000000018 y[1] (closed_form) 13.460820698759466 y[1] (numeric) 13.460820698759466 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.100000000000002 y[1] (closed_form) 13.648726753261004 y[1] (numeric) 13.648726753261005 absolute error 1.7763568394002505e-15 relative error 1.3014817217113946e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.200000000000002 y[1] (closed_form) 13.839255878532782 y[1] (numeric) 13.839255878532782 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.300000000000002 y[1] (closed_form) 14.032444691278203 y[1] (numeric) 14.032444691278203 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.400000000000002 y[1] (closed_form) 14.228330319350802 y[1] (numeric) 14.228330319350802 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.500000000000002 y[1] (closed_form) 14.426950408889638 y[1] (numeric) 14.426950408889638 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.6000000000000023 y[1] (closed_form) 14.628343131554288 y[1] (numeric) 14.628343131554287 absolute error 1.7763568394002505e-15 relative error 1.2143253842388569e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.7000000000000024 y[1] (closed_form) 14.83254719186083 y[1] (numeric) 14.832547191860831 absolute error 1.7763568394002505e-15 relative error 1.1976074078328257e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.8000000000000025 y[1] (closed_form) 15.039601834620267 y[1] (numeric) 15.039601834620266 absolute error 1.7763568394002505e-15 relative error 1.1811195927482488e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 3.9000000000000026 y[1] (closed_form) 15.249546852480732 y[1] (numeric) 15.249546852480732 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.000000000000003 y[1] (closed_form) 15.46242259357504 y[1] (numeric) 15.46242259357504 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.100000000000002 y[1] (closed_form) 15.67826996927494 y[1] (numeric) 15.678269969274941 absolute error 1.7763568394002505e-15 relative error 1.1330056459554639e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.200000000000002 y[1] (closed_form) 15.897130462053651 y[1] (numeric) 15.897130462053656 absolute error 5.329070518200751e-15 relative error 3.352221667250708e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.300000000000002 y[1] (closed_form) 16.11904613345815 y[1] (numeric) 16.119046133458152 absolute error 3.552713678800501e-15 relative error 2.204047093969269e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.400000000000001 y[1] (closed_form) 16.344059632192707 y[1] (numeric) 16.344059632192707 absolute error 0.0 relative error 0.0% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.500000000000001 y[1] (closed_form) 16.572214202315326 y[1] (numeric) 16.572214202315333 absolute error 7.105427357601002e-15 relative error 4.28755462055776e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.6000000000000005 y[1] (closed_form) 16.803553691548583 y[1] (numeric) 16.803553691548586 absolute error 3.552713678800501e-15 relative error 2.114263294547839e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.7 y[1] (closed_form) 17.03812255970642 y[1] (numeric) 17.03812255970643 absolute error 1.0658141036401503e-14 relative error 6.255466820978867e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.8 y[1] (closed_form) 17.27596588723868 y[1] (numeric) 17.27596588723869 absolute error 1.0658141036401503e-14 relative error 6.169345960722464e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.8999999999999995 y[1] (closed_form) 17.517129383894826 y[1] (numeric) 17.517129383894833 absolute error 7.105427357601002e-15 relative error 4.05627383453233e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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] 4.999999999999999 y[1] (closed_form) 17.761659397508627 y[1] (numeric) 17.761659397508637 absolute error 1.0658141036401503e-14 relative error 6.000644870994704e-14% Desired digits 16 Estimated correct digits 13 Correct digits 16 h 0.1 NO INFO (given) for Equation 1 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 Finished! diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; Iterations 41 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 104.99999999999996%