##############ECHO OF PROBLEM################# ##############temp/diff0postode.ode################# diff ( y , x , 1 ) = y - 1.0; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 1.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.01 ; glob_look_poles = true; glob_max_iter = 100; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0 + exp(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 1.1 y[1] (analytic) = 4.004166023946434 y[1] (numeric) = 4.004166023946434 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10001 y[1] (analytic) = 4.004196065756882 y[1] (numeric) = 4.004196065756882 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10002 y[1] (analytic) = 4.004226107867749 y[1] (numeric) = 4.004226107867749 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10003 y[1] (analytic) = 4.004256150279041 y[1] (numeric) = 4.00425615027904 absolute error = 8.881784197001252e-16 relative error = 2.218085922495821e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10004 y[1] (analytic) = 4.004286192990756 y[1] (numeric) = 4.004286192990755 absolute error = 8.881784197001252e-16 relative error = 2.218069280999006e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10005 y[1] (analytic) = 4.004316236002902 y[1] (numeric) = 4.0043162360029 absolute error = 1.77635683940025e-15 relative error = 4.436105279170971e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.10006 y[1] (analytic) = 4.004346279315478 y[1] (numeric) = 4.004346279315476 absolute error = 1.77635683940025e-15 relative error = 4.436071996510525e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100070000000001 y[1] (analytic) = 4.00437632292849 y[1] (numeric) = 4.004376322928487 absolute error = 2.664535259100376e-15 relative error = 6.654058071025007e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100080000000001 y[1] (analytic) = 4.004406366841939 y[1] (numeric) = 4.004406366841936 absolute error = 2.664535259100376e-15 relative error = 6.654008147534118e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100090000000001 y[1] (analytic) = 4.004436411055828 y[1] (numeric) = 4.004436411055825 absolute error = 2.664535259100376e-15 relative error = 6.653958224293122e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100100000000001 y[1] (analytic) = 4.004466455570161 y[1] (numeric) = 4.004466455570158 absolute error = 2.664535259100376e-15 relative error = 6.653908301302016e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100110000000001 y[1] (analytic) = 4.00449650038494 y[1] (numeric) = 4.004496500384938 absolute error = 2.664535259100376e-15 relative error = 6.653858378560806e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100120000000001 y[1] (analytic) = 4.00452654550017 y[1] (numeric) = 4.004526545500167 absolute error = 2.664535259100376e-15 relative error = 6.653808456069486e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100130000000001 y[1] (analytic) = 4.004556590915852 y[1] (numeric) = 4.004556590915849 absolute error = 3.552713678800501e-15 relative error = 8.87167804510408e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100140000000001 y[1] (analytic) = 4.00458663663199 y[1] (numeric) = 4.004586636631986 absolute error = 3.552713678800501e-15 relative error = 8.871611482448708e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100150000000001 y[1] (analytic) = 4.004616682648586 y[1] (numeric) = 4.004616682648583 absolute error = 3.552713678800501e-15 relative error = 8.871544920126527e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.623e-08 Order of pole = 0.5 x[1] = 1.100160000000001 y[1] (analytic) = 4.004646728965644 y[1] (numeric) = 4.00464672896564 absolute error = 4.440892098500626e-15 relative error = 1.108934794767193e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100170000000001 y[1] (analytic) = 4.004676775583166 y[1] (numeric) = 4.004676775583163 absolute error = 3.552713678800501e-15 relative error = 8.871411796481752e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100180000000001 y[1] (analytic) = 4.004706822501158 y[1] (numeric) = 4.004706822501153 absolute error = 4.440892098500626e-15 relative error = 1.108918154394895e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100190000000001 y[1] (analytic) = 4.004736869719618 y[1] (numeric) = 4.004736869719614 absolute error = 4.440892098500626e-15 relative error = 1.10890983427122e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100200000000001 y[1] (analytic) = 4.004766917238553 y[1] (numeric) = 4.004766917238548 absolute error = 4.440892098500626e-15 relative error = 1.108901514189195e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100210000000001 y[1] (analytic) = 4.004796965057965 y[1] (numeric) = 4.00479696505796 absolute error = 5.329070518200751e-15 relative error = 1.330671832978584e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100220000000002 y[1] (analytic) = 4.004827013177856 y[1] (numeric) = 4.004827013177851 absolute error = 5.329070518200751e-15 relative error = 1.330661848980113e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100230000000002 y[1] (analytic) = 4.004857061598229 y[1] (numeric) = 4.004857061598224 absolute error = 5.329070518200751e-15 relative error = 1.330651865031623e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100240000000002 y[1] (analytic) = 4.004887110319089 y[1] (numeric) = 4.004887110319083 absolute error = 6.217248937900877e-15 relative error = 1.552415527988632e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100250000000002 y[1] (analytic) = 4.004917159340437 y[1] (numeric) = 4.00491715934043 absolute error = 6.217248937900877e-15 relative error = 1.552403880165348e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100260000000002 y[1] (analytic) = 4.004947208662276 y[1] (numeric) = 4.00494720866227 absolute error = 6.217248937900877e-15 relative error = 1.552392232400374e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100270000000002 y[1] (analytic) = 4.004977258284612 y[1] (numeric) = 4.004977258284605 absolute error = 7.105427357601002e-15 relative error = 1.774149239649954e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100280000000002 y[1] (analytic) = 4.005007308207444 y[1] (numeric) = 4.005007308207436 absolute error = 7.993605777301127e-15 relative error = 1.995902919058316e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100290000000002 y[1] (analytic) = 4.005037358430777 y[1] (numeric) = 4.005037358430769 absolute error = 7.993605777301127e-15 relative error = 1.995887943585405e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100300000000002 y[1] (analytic) = 4.005067408954615 y[1] (numeric) = 4.005067408954606 absolute error = 8.881784197001252e-15 relative error = 2.217636631319406e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100310000000002 y[1] (analytic) = 4.005097459778957 y[1] (numeric) = 4.005097459778949 absolute error = 7.993605777301127e-15 relative error = 1.995857992864497e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100320000000002 y[1] (analytic) = 4.005127510903812 y[1] (numeric) = 4.005127510903803 absolute error = 8.881784197001252e-15 relative error = 2.217603352907223e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100330000000002 y[1] (analytic) = 4.005157562329178 y[1] (numeric) = 4.005157562329169 absolute error = 8.881784197001252e-15 relative error = 2.217586713826085e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100340000000002 y[1] (analytic) = 4.005187614055059 y[1] (numeric) = 4.005187614055051 absolute error = 7.993605777301127e-15 relative error = 1.995813067345424e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100350000000002 y[1] (analytic) = 4.00521766608146 y[1] (numeric) = 4.005217666081451 absolute error = 8.881784197001252e-15 relative error = 2.217553435913715e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100360000000002 y[1] (analytic) = 4.005247718408382 y[1] (numeric) = 4.005247718408373 absolute error = 8.881784197001252e-15 relative error = 2.217536797082484e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100370000000003 y[1] (analytic) = 4.005277771035829 y[1] (numeric) = 4.00527777103582 absolute error = 8.881784197001252e-15 relative error = 2.217520158334557e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100380000000003 y[1] (analytic) = 4.005307823963804 y[1] (numeric) = 4.005307823963795 absolute error = 8.881784197001252e-15 relative error = 2.217503519669932e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100390000000003 y[1] (analytic) = 4.00533787719231 y[1] (numeric) = 4.005337877192301 absolute error = 8.881784197001252e-15 relative error = 2.217486881088611e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100400000000003 y[1] (analytic) = 4.005367930721349 y[1] (numeric) = 4.005367930721341 absolute error = 8.881784197001252e-15 relative error = 2.217470242590593e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100410000000003 y[1] (analytic) = 4.005397984550926 y[1] (numeric) = 4.005397984550917 absolute error = 8.881784197001252e-15 relative error = 2.217453604175879e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100420000000003 y[1] (analytic) = 4.005428038681042 y[1] (numeric) = 4.005428038681033 absolute error = 8.881784197001252e-15 relative error = 2.217436965844469e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100430000000003 y[1] (analytic) = 4.005458093111701 y[1] (numeric) = 4.005458093111692 absolute error = 8.881784197001252e-15 relative error = 2.217420327596364e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100440000000003 y[1] (analytic) = 4.005488147842906 y[1] (numeric) = 4.005488147842896 absolute error = 9.769962616701378e-15 relative error = 2.439144058374718e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100450000000003 y[1] (analytic) = 4.005518202874659 y[1] (numeric) = 4.005518202874649 absolute error = 9.769962616701378e-15 relative error = 2.439125756485072e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100460000000003 y[1] (analytic) = 4.005548258206964 y[1] (numeric) = 4.005548258206955 absolute error = 9.769962616701378e-15 relative error = 2.439107454687061e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100470000000003 y[1] (analytic) = 4.005578313839825 y[1] (numeric) = 4.005578313839814 absolute error = 1.06581410364015e-14 relative error = 2.660824530524383e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100480000000003 y[1] (analytic) = 4.005608369773242 y[1] (numeric) = 4.005608369773232 absolute error = 9.769962616701378e-15 relative error = 2.439070851365945e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100490000000003 y[1] (analytic) = 4.005638426007222 y[1] (numeric) = 4.005638426007211 absolute error = 1.06581410364015e-14 relative error = 2.660784599828554e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100500000000003 y[1] (analytic) = 4.005668482541764 y[1] (numeric) = 4.005668482541753 absolute error = 1.06581410364015e-14 relative error = 2.660764634630589e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100510000000003 y[1] (analytic) = 4.005698539376874 y[1] (numeric) = 4.005698539376863 absolute error = 1.06581410364015e-14 relative error = 2.660744669532591e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100520000000003 y[1] (analytic) = 4.005728596512553 y[1] (numeric) = 4.005728596512542 absolute error = 1.06581410364015e-14 relative error = 2.660724704534561e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100530000000004 y[1] (analytic) = 4.005758653948805 y[1] (numeric) = 4.005758653948794 absolute error = 1.06581410364015e-14 relative error = 2.660704739636498e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100540000000004 y[1] (analytic) = 4.005788711685634 y[1] (numeric) = 4.005788711685621 absolute error = 1.243449787580175e-14 relative error = 3.104132237311469e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100550000000004 y[1] (analytic) = 4.005818769723041 y[1] (numeric) = 4.005818769723028 absolute error = 1.243449787580175e-14 relative error = 3.104108945163654e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100560000000004 y[1] (analytic) = 4.00584882806103 y[1] (numeric) = 4.005848828061016 absolute error = 1.332267629550188e-14 relative error = 3.325806056927644e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100570000000004 y[1] (analytic) = 4.005878886699604 y[1] (numeric) = 4.00587888669959 absolute error = 1.332267629550188e-14 relative error = 3.325781101304906e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100580000000004 y[1] (analytic) = 4.005908945638764 y[1] (numeric) = 4.005908945638752 absolute error = 1.243449787580175e-14 relative error = 3.104039069419987e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100590000000004 y[1] (analytic) = 4.005939004878517 y[1] (numeric) = 4.005939004878504 absolute error = 1.243449787580175e-14 relative error = 3.104015777738692e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100600000000004 y[1] (analytic) = 4.005969064418863 y[1] (numeric) = 4.005969064418851 absolute error = 1.243449787580175e-14 relative error = 3.103992486174028e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100610000000004 y[1] (analytic) = 4.005999124259807 y[1] (numeric) = 4.005999124259795 absolute error = 1.243449787580175e-14 relative error = 3.103969194725995e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100620000000004 y[1] (analytic) = 4.00602918440135 y[1] (numeric) = 4.006029184401338 absolute error = 1.243449787580175e-14 relative error = 3.103945903394593e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100630000000004 y[1] (analytic) = 4.006059244843496 y[1] (numeric) = 4.006059244843484 absolute error = 1.243449787580175e-14 relative error = 3.103922612179823e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100640000000004 y[1] (analytic) = 4.006089305586249 y[1] (numeric) = 4.006089305586236 absolute error = 1.332267629550188e-14 relative error = 3.325606415444661e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100650000000004 y[1] (analytic) = 4.006119366629609 y[1] (numeric) = 4.006119366629597 absolute error = 1.243449787580175e-14 relative error = 3.103876030100178e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100660000000004 y[1] (analytic) = 4.006149427973583 y[1] (numeric) = 4.00614942797357 absolute error = 1.243449787580175e-14 relative error = 3.103852739235305e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100670000000004 y[1] (analytic) = 4.00617948961817 y[1] (numeric) = 4.006179489618158 absolute error = 1.243449787580175e-14 relative error = 3.103829448487064e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100680000000005 y[1] (analytic) = 4.006209551563376 y[1] (numeric) = 4.006209551563364 absolute error = 1.243449787580175e-14 relative error = 3.103806157855456e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100690000000005 y[1] (analytic) = 4.006239613809203 y[1] (numeric) = 4.006239613809191 absolute error = 1.243449787580175e-14 relative error = 3.103782867340482e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100700000000005 y[1] (analytic) = 4.006269676355654 y[1] (numeric) = 4.006269676355641 absolute error = 1.243449787580175e-14 relative error = 3.103759576942141e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100710000000005 y[1] (analytic) = 4.006299739202731 y[1] (numeric) = 4.006299739202719 absolute error = 1.243449787580175e-14 relative error = 3.103736286660435e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100720000000005 y[1] (analytic) = 4.006329802350439 y[1] (numeric) = 4.006329802350426 absolute error = 1.332267629550188e-14 relative error = 3.325406781959316e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100730000000005 y[1] (analytic) = 4.00635986579878 y[1] (numeric) = 4.006359865798767 absolute error = 1.332267629550188e-14 relative error = 3.32538182833599e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100740000000005 y[1] (analytic) = 4.006389929547757 y[1] (numeric) = 4.006389929547743 absolute error = 1.332267629550188e-14 relative error = 3.325356874837629e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100750000000005 y[1] (analytic) = 4.006419993597373 y[1] (numeric) = 4.006419993597358 absolute error = 1.4210854715202e-14 relative error = 3.547020716228517e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100760000000005 y[1] (analytic) = 4.00645005794763 y[1] (numeric) = 4.006450057947616 absolute error = 1.4210854715202e-14 relative error = 3.546994099430194e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100770000000005 y[1] (analytic) = 4.006480122598532 y[1] (numeric) = 4.006480122598518 absolute error = 1.4210854715202e-14 relative error = 3.54696748276517e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100780000000005 y[1] (analytic) = 4.006510187550083 y[1] (numeric) = 4.006510187550068 absolute error = 1.509903313490213e-14 relative error = 3.768624670373032e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.006e-08 Order of pole = 0.5 x[1] = 1.100790000000005 y[1] (analytic) = 4.006540252802285 y[1] (numeric) = 4.00654025280227 absolute error = 1.509903313490213e-14 relative error = 3.768596390449702e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100800000000005 y[1] (analytic) = 4.006570318355141 y[1] (numeric) = 4.006570318355125 absolute error = 1.598721155460225e-14 relative error = 3.990248587766119e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100810000000005 y[1] (analytic) = 4.006600384208653 y[1] (numeric) = 4.006600384208638 absolute error = 1.509903313490213e-14 relative error = 3.768539831027933e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100820000000005 y[1] (analytic) = 4.006630450362827 y[1] (numeric) = 4.006630450362811 absolute error = 1.598721155460225e-14 relative error = 3.990188701619464e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100830000000006 y[1] (analytic) = 4.006660516817663 y[1] (numeric) = 4.006660516817647 absolute error = 1.598721155460225e-14 relative error = 3.990158758771079e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100840000000006 y[1] (analytic) = 4.006690583573164 y[1] (numeric) = 4.006690583573148 absolute error = 1.598721155460225e-14 relative error = 3.990128816072658e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100850000000006 y[1] (analytic) = 4.006720650629335 y[1] (numeric) = 4.006720650629319 absolute error = 1.598721155460225e-14 relative error = 3.990098873524199e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100860000000006 y[1] (analytic) = 4.006750717986177 y[1] (numeric) = 4.006750717986161 absolute error = 1.598721155460225e-14 relative error = 3.990068931125704e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100870000000006 y[1] (analytic) = 4.006780785643697 y[1] (numeric) = 4.006780785643679 absolute error = 1.77635683940025e-14 relative error = 4.433376654307968e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100880000000006 y[1] (analytic) = 4.006810853601893 y[1] (numeric) = 4.006810853601875 absolute error = 1.77635683940025e-14 relative error = 4.43334338530956e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100890000000006 y[1] (analytic) = 4.006840921860769 y[1] (numeric) = 4.006840921860753 absolute error = 1.687538997430238e-14 relative error = 4.211644610653891e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100900000000006 y[1] (analytic) = 4.006870990420331 y[1] (numeric) = 4.006870990420314 absolute error = 1.687538997430238e-14 relative error = 4.211613005421996e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100910000000006 y[1] (analytic) = 4.00690105928058 y[1] (numeric) = 4.006901059280562 absolute error = 1.77635683940025e-14 relative error = 4.433243579314102e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100920000000006 y[1] (analytic) = 4.006931128441519 y[1] (numeric) = 4.0069311284415 absolute error = 1.865174681370263e-14 relative error = 4.654870826531316e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100930000000006 y[1] (analytic) = 4.006961197903149 y[1] (numeric) = 4.006961197903132 absolute error = 1.77635683940025e-14 relative error = 4.433177042816939e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100940000000006 y[1] (analytic) = 4.006991267665478 y[1] (numeric) = 4.006991267665459 absolute error = 1.865174681370263e-14 relative error = 4.654800963559217e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100950000000006 y[1] (analytic) = 4.007021337728505 y[1] (numeric) = 4.007021337728486 absolute error = 1.865174681370263e-14 relative error = 4.654766032335607e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100960000000006 y[1] (analytic) = 4.007051408092233 y[1] (numeric) = 4.007051408092215 absolute error = 1.865174681370263e-14 relative error = 4.654731101286961e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.124e-08 Order of pole = 0.5 x[1] = 1.100970000000006 y[1] (analytic) = 4.007081478756668 y[1] (numeric) = 4.007081478756649 absolute error = 1.865174681370263e-14 relative error = 4.654696170413277e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100980000000007 y[1] (analytic) = 4.007111549721809 y[1] (numeric) = 4.007111549721791 absolute error = 1.865174681370263e-14 relative error = 4.654661239714556e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.100990000000007 y[1] (analytic) = 4.007141620987664 y[1] (numeric) = 4.007141620987644 absolute error = 1.953992523340276e-14 relative error = 4.876275181057023e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1.101000000000007 y[1] (analytic) = 4.00717169255423 y[1] (numeric) = 4.007171692554212 absolute error = 1.865174681370263e-14 relative error = 4.654591378842001e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = y - 1.0; Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 9 Seconds Expected Time Remaining = 10 Hours 43 Minutes 23 Seconds Optimized Time Remaining = 9 Hours 39 Minutes 3 Seconds Time to Timeout = 50 Seconds Percent Done = 0.0259 %