##############ECHO OF PROBLEM################# ##############temp/nonlinear1postode.ode################# diff ( y , x , 1 ) = y * y; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.0; x_end = 0.5 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.01; glob_look_poles = true; glob_max_iter = 1000000; // 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/(1.0 - x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1e-05 y[1] (analytic) = 1.000010000100001 y[1] (numeric) = 1.000010000100001 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 2e-05 y[1] (analytic) = 1.000020000400008 y[1] (numeric) = 1.000020000400008 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 3e-05 y[1] (analytic) = 1.000030000900027 y[1] (numeric) = 1.000030000900027 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 4e-05 y[1] (analytic) = 1.000040001600064 y[1] (numeric) = 1.000040001600064 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 5e-05 y[1] (analytic) = 1.000050002500125 y[1] (numeric) = 1.000050002500125 absolute error = 2.220446049250313e-16 relative error = 2.22033502694785e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 6e-05 y[1] (analytic) = 1.000060003600216 y[1] (numeric) = 1.000060003600216 absolute error = 2.220446049250313e-16 relative error = 2.220312822487358e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 7.000000000000001e-05 y[1] (analytic) = 1.000070004900343 y[1] (numeric) = 1.000070004900343 absolute error = 2.220446049250313e-16 relative error = 2.220290618026865e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 8.000000000000001e-05 y[1] (analytic) = 1.000080006400512 y[1] (numeric) = 1.000080006400512 absolute error = 2.220446049250313e-16 relative error = 2.220268413566373e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000001e-05 y[1] (analytic) = 1.000090008100729 y[1] (numeric) = 1.000090008100729 absolute error = 4.440892098500626e-16 relative error = 4.440492418211761e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0001 y[1] (analytic) = 1.000100010001 y[1] (numeric) = 1.000100010001 absolute error = 2.220446049250313e-16 relative error = 2.220224004645388e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00011 y[1] (analytic) = 1.000110012101331 y[1] (numeric) = 1.000110012101331 absolute error = 2.220446049250313e-16 relative error = 2.220201800184896e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00012 y[1] (analytic) = 1.000120014401728 y[1] (numeric) = 1.000120014401728 absolute error = 2.220446049250313e-16 relative error = 2.220179595724403e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00013 y[1] (analytic) = 1.000130016902197 y[1] (numeric) = 1.000130016902197 absolute error = 4.440892098500626e-16 relative error = 4.440314782527821e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00014 y[1] (analytic) = 1.000140019602744 y[1] (numeric) = 1.000140019602744 absolute error = 2.220446049250313e-16 relative error = 2.220135186803418e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00015 y[1] (analytic) = 1.000150022503375 y[1] (numeric) = 1.000150022503375 absolute error = 2.220446049250313e-16 relative error = 2.220112982342926e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00016 y[1] (analytic) = 1.000160025604097 y[1] (numeric) = 1.000160025604096 absolute error = 2.220446049250313e-16 relative error = 2.220090777882433e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00017 y[1] (analytic) = 1.000170028904914 y[1] (numeric) = 1.000170028904914 absolute error = 2.220446049250313e-16 relative error = 2.220068573421941e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00018 y[1] (analytic) = 1.000180032405833 y[1] (numeric) = 1.000180032405833 absolute error = 2.220446049250313e-16 relative error = 2.220046368961448e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00019 y[1] (analytic) = 1.00019003610686 y[1] (numeric) = 1.00019003610686 absolute error = 2.220446049250313e-16 relative error = 2.220024164500955e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002 y[1] (analytic) = 1.000200040008002 y[1] (numeric) = 1.000200040008001 absolute error = 2.220446049250313e-16 relative error = 2.220001960040463e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00021 y[1] (analytic) = 1.000210044109263 y[1] (numeric) = 1.000210044109263 absolute error = 2.220446049250313e-16 relative error = 2.21997975557997e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00022 y[1] (analytic) = 1.00022004841065 y[1] (numeric) = 1.00022004841065 absolute error = 2.220446049250313e-16 relative error = 2.219957551119478e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00023 y[1] (analytic) = 1.00023005291217 y[1] (numeric) = 1.000230052912169 absolute error = 2.220446049250313e-16 relative error = 2.219935346658986e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00024 y[1] (analytic) = 1.000240057613827 y[1] (numeric) = 1.000240057613827 absolute error = 2.220446049250313e-16 relative error = 2.219913142198493e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00025 y[1] (analytic) = 1.000250062515629 y[1] (numeric) = 1.000250062515629 absolute error = 2.220446049250313e-16 relative error = 2.219890937738e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00026 y[1] (analytic) = 1.000260067617581 y[1] (numeric) = 1.00026006761758 absolute error = 2.220446049250313e-16 relative error = 2.219868733277508e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002700000000000001 y[1] (analytic) = 1.000270072919688 y[1] (numeric) = 1.000270072919688 absolute error = 2.220446049250313e-16 relative error = 2.219846528817015e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002800000000000001 y[1] (analytic) = 1.000280078421958 y[1] (numeric) = 1.000280078421958 absolute error = 2.220446049250313e-16 relative error = 2.219824324356523e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002900000000000001 y[1] (analytic) = 1.000290084124396 y[1] (numeric) = 1.000290084124396 absolute error = 2.220446049250313e-16 relative error = 2.219802119896031e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003000000000000001 y[1] (analytic) = 1.000300090027008 y[1] (numeric) = 1.000300090027008 absolute error = 2.220446049250313e-16 relative error = 2.219779915435538e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003100000000000002 y[1] (analytic) = 1.0003100961298 y[1] (numeric) = 1.0003100961298 absolute error = 2.220446049250313e-16 relative error = 2.219757710975046e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003200000000000002 y[1] (analytic) = 1.000320102432779 y[1] (numeric) = 1.000320102432778 absolute error = 4.440892098500626e-16 relative error = 4.439471013029105e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003300000000000002 y[1] (analytic) = 1.000330108935949 y[1] (numeric) = 1.000330108935948 absolute error = 4.440892098500626e-16 relative error = 4.439426604108121e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003400000000000002 y[1] (analytic) = 1.000340115639317 y[1] (numeric) = 1.000340115639317 absolute error = 4.440892098500626e-16 relative error = 4.439382195187136e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003500000000000003 y[1] (analytic) = 1.00035012254289 y[1] (numeric) = 1.00035012254289 absolute error = 2.220446049250313e-16 relative error = 2.219668893133076e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003600000000000003 y[1] (analytic) = 1.000360129646673 y[1] (numeric) = 1.000360129646672 absolute error = 4.440892098500626e-16 relative error = 4.439293377345166e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003700000000000003 y[1] (analytic) = 1.000370136950672 y[1] (numeric) = 1.000370136950671 absolute error = 2.220446049250313e-16 relative error = 2.219624484212091e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003800000000000003 y[1] (analytic) = 1.000380144454893 y[1] (numeric) = 1.000380144454893 absolute error = 2.220446049250313e-16 relative error = 2.219602279751598e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003900000000000004 y[1] (analytic) = 1.000390152159342 y[1] (numeric) = 1.000390152159342 absolute error = 2.220446049250313e-16 relative error = 2.219580075291105e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004000000000000004 y[1] (analytic) = 1.000400160064026 y[1] (numeric) = 1.000400160064025 absolute error = 2.220446049250313e-16 relative error = 2.219557870830613e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004100000000000004 y[1] (analytic) = 1.000410168168949 y[1] (numeric) = 1.000410168168949 absolute error = 2.220446049250313e-16 relative error = 2.219535666370121e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004200000000000005 y[1] (analytic) = 1.000420176474119 y[1] (numeric) = 1.000420176474119 absolute error = 2.220446049250313e-16 relative error = 2.219513461909628e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004300000000000005 y[1] (analytic) = 1.000430184979541 y[1] (numeric) = 1.000430184979541 absolute error = 2.220446049250313e-16 relative error = 2.219491257449136e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004400000000000005 y[1] (analytic) = 1.000440193685221 y[1] (numeric) = 1.000440193685221 absolute error = 2.220446049250313e-16 relative error = 2.219469052988643e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004500000000000005 y[1] (analytic) = 1.000450202591166 y[1] (numeric) = 1.000450202591166 absolute error = 4.440892098500626e-16 relative error = 4.4388936970563e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004600000000000006 y[1] (analytic) = 1.000460211697381 y[1] (numeric) = 1.00046021169738 absolute error = 4.440892098500626e-16 relative error = 4.438849288135316e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004700000000000006 y[1] (analytic) = 1.000470221003872 y[1] (numeric) = 1.000470221003871 absolute error = 4.440892098500626e-16 relative error = 4.438804879214331e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004800000000000006 y[1] (analytic) = 1.000480230510645 y[1] (numeric) = 1.000480230510645 absolute error = 4.440892098500626e-16 relative error = 4.438760470293346e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004900000000000006 y[1] (analytic) = 1.000490240217707 y[1] (numeric) = 1.000490240217706 absolute error = 4.440892098500626e-16 relative error = 4.438716061372361e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005000000000000007 y[1] (analytic) = 1.000500250125063 y[1] (numeric) = 1.000500250125062 absolute error = 4.440892098500626e-16 relative error = 4.438671652451375e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005100000000000007 y[1] (analytic) = 1.000510260232719 y[1] (numeric) = 1.000510260232718 absolute error = 4.440892098500626e-16 relative error = 4.438627243530391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005200000000000007 y[1] (analytic) = 1.000520270540681 y[1] (numeric) = 1.000520270540681 absolute error = 2.220446049250313e-16 relative error = 2.219291417304703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005300000000000007 y[1] (analytic) = 1.000530281048956 y[1] (numeric) = 1.000530281048956 absolute error = 4.440892098500626e-16 relative error = 4.43853842568842e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005400000000000008 y[1] (analytic) = 1.000540291757549 y[1] (numeric) = 1.000540291757549 absolute error = 2.220446049250313e-16 relative error = 2.219247008383718e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005500000000000008 y[1] (analytic) = 1.000550302666467 y[1] (numeric) = 1.000550302666466 absolute error = 4.440892098500626e-16 relative error = 4.438449607846451e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005600000000000008 y[1] (analytic) = 1.000560313775714 y[1] (numeric) = 1.000560313775714 absolute error = 4.440892098500626e-16 relative error = 4.438405198925466e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005700000000000008 y[1] (analytic) = 1.000570325085299 y[1] (numeric) = 1.000570325085298 absolute error = 4.440892098500626e-16 relative error = 4.438360790004481e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005800000000000009 y[1] (analytic) = 1.000580336595225 y[1] (numeric) = 1.000580336595225 absolute error = 4.440892098500626e-16 relative error = 4.438316381083495e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005900000000000009 y[1] (analytic) = 1.0005903483055 y[1] (numeric) = 1.0005903483055 absolute error = 4.440892098500626e-16 relative error = 4.43827197216251e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006000000000000009 y[1] (analytic) = 1.00060036021613 y[1] (numeric) = 1.000600360216129 absolute error = 4.440892098500626e-16 relative error = 4.438227563241526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006100000000000009 y[1] (analytic) = 1.00061037232712 y[1] (numeric) = 1.000610372327119 absolute error = 4.440892098500626e-16 relative error = 4.43818315432054e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000620000000000001 y[1] (analytic) = 1.000620384638476 y[1] (numeric) = 1.000620384638475 absolute error = 4.440892098500626e-16 relative error = 4.438138745399556e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000630000000000001 y[1] (analytic) = 1.000630397150205 y[1] (numeric) = 1.000630397150204 absolute error = 4.440892098500626e-16 relative error = 4.438094336478571e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000640000000000001 y[1] (analytic) = 1.000640409862312 y[1] (numeric) = 1.000640409862311 absolute error = 4.440892098500626e-16 relative error = 4.438049927557586e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006500000000000011 y[1] (analytic) = 1.000650422774804 y[1] (numeric) = 1.000650422774803 absolute error = 4.440892098500626e-16 relative error = 4.438005518636601e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006600000000000011 y[1] (analytic) = 1.000660435887686 y[1] (numeric) = 1.000660435887685 absolute error = 4.440892098500626e-16 relative error = 4.437961109715616e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006700000000000011 y[1] (analytic) = 1.000670449200965 y[1] (numeric) = 1.000670449200964 absolute error = 4.440892098500626e-16 relative error = 4.437916700794631e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006800000000000011 y[1] (analytic) = 1.000680462714646 y[1] (numeric) = 1.000680462714646 absolute error = 4.440892098500626e-16 relative error = 4.437872291873646e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006900000000000012 y[1] (analytic) = 1.000690476428736 y[1] (numeric) = 1.000690476428735 absolute error = 4.440892098500626e-16 relative error = 4.437827882952661e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007000000000000012 y[1] (analytic) = 1.00070049034324 y[1] (numeric) = 1.00070049034324 absolute error = 4.440892098500626e-16 relative error = 4.437783474031675e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007100000000000012 y[1] (analytic) = 1.000710504458165 y[1] (numeric) = 1.000710504458165 absolute error = 2.220446049250313e-16 relative error = 2.218869532555345e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007200000000000012 y[1] (analytic) = 1.000720518773517 y[1] (numeric) = 1.000720518773517 absolute error = 2.220446049250313e-16 relative error = 2.218847328094853e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007300000000000013 y[1] (analytic) = 1.000730533289301 y[1] (numeric) = 1.000730533289301 absolute error = 4.440892098500626e-16 relative error = 4.43765024726872e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007400000000000013 y[1] (analytic) = 1.000740548005524 y[1] (numeric) = 1.000740548005524 absolute error = 2.220446049250313e-16 relative error = 2.218802919173868e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007500000000000013 y[1] (analytic) = 1.000750562922192 y[1] (numeric) = 1.000750562922191 absolute error = 2.220446049250313e-16 relative error = 2.218780714713376e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007600000000000013 y[1] (analytic) = 1.00076057803931 y[1] (numeric) = 1.00076057803931 absolute error = 2.220446049250313e-16 relative error = 2.218758510252883e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007700000000000014 y[1] (analytic) = 1.000770593356885 y[1] (numeric) = 1.000770593356884 absolute error = 4.440892098500626e-16 relative error = 4.43747261158478e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007800000000000014 y[1] (analytic) = 1.000780608874922 y[1] (numeric) = 1.000780608874922 absolute error = 4.440892098500626e-16 relative error = 4.437428202663796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007900000000000014 y[1] (analytic) = 1.000790624593429 y[1] (numeric) = 1.000790624593428 absolute error = 4.440892098500626e-16 relative error = 4.43738379374281e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008000000000000014 y[1] (analytic) = 1.00080064051241 y[1] (numeric) = 1.000800640512409 absolute error = 4.440892098500626e-16 relative error = 4.437339384821826e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008100000000000015 y[1] (analytic) = 1.000810656631872 y[1] (numeric) = 1.000810656631871 absolute error = 4.440892098500626e-16 relative error = 4.437294975900841e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008200000000000015 y[1] (analytic) = 1.000820672951821 y[1] (numeric) = 1.00082067295182 absolute error = 6.661338147750939e-16 relative error = 6.655875850469783e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008300000000000015 y[1] (analytic) = 1.000830689472262 y[1] (numeric) = 1.000830689472261 absolute error = 6.661338147750939e-16 relative error = 6.655809237088305e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008400000000000016 y[1] (analytic) = 1.000840706193202 y[1] (numeric) = 1.000840706193202 absolute error = 6.661338147750939e-16 relative error = 6.655742623706828e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008500000000000016 y[1] (analytic) = 1.000850723114648 y[1] (numeric) = 1.000850723114647 absolute error = 6.661338147750939e-16 relative error = 6.655676010325351e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008600000000000016 y[1] (analytic) = 1.000860740236603 y[1] (numeric) = 1.000860740236603 absolute error = 6.661338147750939e-16 relative error = 6.655609396943874e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008700000000000016 y[1] (analytic) = 1.000870757559077 y[1] (numeric) = 1.000870757559076 absolute error = 8.881784197001252e-16 relative error = 8.87405704474986e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008800000000000017 y[1] (analytic) = 1.000880775082072 y[1] (numeric) = 1.000880775082071 absolute error = 8.881784197001252e-16 relative error = 8.873968226907891e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008900000000000017 y[1] (analytic) = 1.000890792805597 y[1] (numeric) = 1.000890792805596 absolute error = 8.881784197001252e-16 relative error = 8.873879409065921e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009000000000000017 y[1] (analytic) = 1.000900810729657 y[1] (numeric) = 1.000900810729656 absolute error = 8.881784197001252e-16 relative error = 8.873790591223952e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009100000000000017 y[1] (analytic) = 1.000910828854257 y[1] (numeric) = 1.000910828854257 absolute error = 8.881784197001252e-16 relative error = 8.87370177338198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009200000000000018 y[1] (analytic) = 1.000920847179405 y[1] (numeric) = 1.000920847179404 absolute error = 8.881784197001252e-16 relative error = 8.873612955540011e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009300000000000018 y[1] (analytic) = 1.000930865705106 y[1] (numeric) = 1.000930865705105 absolute error = 8.881784197001252e-16 relative error = 8.873524137698042e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009400000000000018 y[1] (analytic) = 1.000940884431365 y[1] (numeric) = 1.000940884431365 absolute error = 8.881784197001252e-16 relative error = 8.873435319856072e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009500000000000018 y[1] (analytic) = 1.00095090335819 y[1] (numeric) = 1.000950903358189 absolute error = 8.881784197001252e-16 relative error = 8.873346502014101e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009600000000000019 y[1] (analytic) = 1.000960922485586 y[1] (numeric) = 1.000960922485585 absolute error = 8.881784197001252e-16 relative error = 8.873257684172131e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009700000000000019 y[1] (analytic) = 1.000970941813559 y[1] (numeric) = 1.000970941813558 absolute error = 6.661338147750939e-16 relative error = 6.654876649747621e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009800000000000019 y[1] (analytic) = 1.000980961342115 y[1] (numeric) = 1.000980961342115 absolute error = 6.661338147750939e-16 relative error = 6.654810036366144e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009900000000000019 y[1] (analytic) = 1.00099098107126 y[1] (numeric) = 1.00099098107126 absolute error = 6.661338147750939e-16 relative error = 6.654743422984667e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001000000000000002 y[1] (analytic) = 1.001001001001001 y[1] (numeric) = 1.001001001001 absolute error = 8.881784197001252e-16 relative error = 8.87290241280425e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = y * y; Iterations = 100 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 13 Seconds Expected Time Remaining = 1 Hours 47 Minutes 2 Seconds Optimized Time Remaining = 1 Hours 38 Minutes 48 Seconds Time to Timeout = 47 Seconds Percent Done = 0.202 %