##############ECHO OF PROBLEM################# ##############temp/lin_tanpostode.ode################# diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.0; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; /* 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(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 0.005028957536846423 y[1] (numeric) = 0.005028957536846423 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) = 0.005027532173447466 y[1] (numeric) = 0.005027532173447438 absolute error = 2.775557561562891e-17 relative error = 5.520715662888823e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 2e-05 y[1] (analytic) = 0.005026107014111243 y[1] (numeric) = 0.005026107014111193 absolute error = 4.9439619065339e-17 relative error = 9.836563154451919e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 3e-05 y[1] (analytic) = 0.005024682058836555 y[1] (numeric) = 0.005024682058836525 absolute error = 3.035766082959412e-17 relative error = 6.04170780839879e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 4e-05 y[1] (analytic) = 0.005023257307622262 y[1] (numeric) = 0.00502325730762227 absolute error = 7.806255641895632e-18 relative error = 1.554022651806123e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 5e-05 y[1] (analytic) = 0.005021832760467273 y[1] (numeric) = 0.005021832760467266 absolute error = 6.938893903907228e-18 relative error = 1.381745317871075e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 6e-05 y[1] (analytic) = 0.005020408417370388 y[1] (numeric) = 0.00502040841737035 absolute error = 3.816391647148976e-17 relative error = 7.601755335172397e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 7.000000000000001e-05 y[1] (analytic) = 0.005018984278330354 y[1] (numeric) = 0.005018984278330359 absolute error = 4.336808689942018e-18 relative error = 8.640809473475233e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 8.000000000000001e-05 y[1] (analytic) = 0.005017560343346135 y[1] (numeric) = 0.00501756034334613 absolute error = 5.204170427930421e-18 relative error = 1.037191398172571e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000001e-05 y[1] (analytic) = 0.00501613661241653 y[1] (numeric) = 0.005016136612416502 absolute error = 2.775557561562891e-17 relative error = 5.533257516736098e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0001 y[1] (analytic) = 0.005014713085540337 y[1] (numeric) = 0.005014713085540313 absolute error = 2.34187669256869e-17 relative error = 4.670011329903138e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00011 y[1] (analytic) = 0.005013289762716409 y[1] (numeric) = 0.0050132897627164 absolute error = 8.673617379884035e-18 relative error = 1.730124886135508e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00012 y[1] (analytic) = 0.005011866643943653 y[1] (numeric) = 0.005011866643943603 absolute error = 5.030698080332741e-17 relative error = 1.003757369803892e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00013 y[1] (analytic) = 0.005010443729220812 y[1] (numeric) = 0.005010443729220758 absolute error = 5.377642775528102e-17 relative error = 1.07328673190476e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00014 y[1] (analytic) = 0.005009021018546737 y[1] (numeric) = 0.005009021018546706 absolute error = 3.122502256758253e-17 relative error = 6.23375754503059e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00015 y[1] (analytic) = 0.005007598511920277 y[1] (numeric) = 0.005007598511920284 absolute error = 6.938893903907228e-18 relative error = 1.385672970265013e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00016 y[1] (analytic) = 0.005006176209340339 y[1] (numeric) = 0.005006176209340333 absolute error = 6.071532165918825e-18 relative error = 1.212808321567025e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00017 y[1] (analytic) = 0.005004754110805715 y[1] (numeric) = 0.005004754110805689 absolute error = 2.51534904016637e-17 relative error = 5.025919324858549e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00018 y[1] (analytic) = 0.005003332216315201 y[1] (numeric) = 0.005003332216315195 absolute error = 6.071532165918825e-18 relative error = 1.213497705813011e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00019 y[1] (analytic) = 0.005001910525867699 y[1] (numeric) = 0.005001910525867688 absolute error = 1.127570259384925e-17 relative error = 2.25427914704516e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002 y[1] (analytic) = 0.005000489039462057 y[1] (numeric) = 0.005000489039462008 absolute error = 4.9439619065339e-17 relative error = 9.886956790661743e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00021 y[1] (analytic) = 0.004999067757097013 y[1] (numeric) = 0.004999067757096995 absolute error = 1.821459649775647e-17 relative error = 3.643598643346614e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00022 y[1] (analytic) = 0.004997646678771523 y[1] (numeric) = 0.004997646678771489 absolute error = 3.382710778154774e-17 relative error = 6.768607297757756e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00023 y[1] (analytic) = 0.004996225804484378 y[1] (numeric) = 0.004996225804484331 absolute error = 4.683753385137379e-17 relative error = 9.374583072153108e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00024 y[1] (analytic) = 0.004994805134234368 y[1] (numeric) = 0.00499480513423436 absolute error = 7.806255641895632e-18 relative error = 1.562874913455902e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00025 y[1] (analytic) = 0.004993384668020448 y[1] (numeric) = 0.004993384668020418 absolute error = 3.035766082959412e-17 relative error = 6.079575848425265e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00026 y[1] (analytic) = 0.004991964405841352 y[1] (numeric) = 0.004991964405841345 absolute error = 7.806255641895632e-18 relative error = 1.563764283407376e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002700000000000001 y[1] (analytic) = 0.00499054434769598 y[1] (numeric) = 0.004990544347695981 absolute error = 8.673617379884035e-19 relative error = 1.738010280158806e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002800000000000001 y[1] (analytic) = 0.004989124493583174 y[1] (numeric) = 0.004989124493583168 absolute error = 5.204170427930421e-18 relative error = 1.043102940129843e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002900000000000001 y[1] (analytic) = 0.004987704843501776 y[1] (numeric) = 0.004987704843501748 absolute error = 2.862293735361732e-17 relative error = 5.738699111457782e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003000000000000001 y[1] (analytic) = 0.004986285397450574 y[1] (numeric) = 0.00498628539745056 absolute error = 1.387778780781446e-17 relative error = 2.783191634981423e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003100000000000002 y[1] (analytic) = 0.004984866155428464 y[1] (numeric) = 0.004984866155428448 absolute error = 1.647987302177967e-17 relative error = 3.305981045014271e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003200000000000002 y[1] (analytic) = 0.004983447117434287 y[1] (numeric) = 0.004983447117434253 absolute error = 3.469446951953614e-17 relative error = 6.961941945397523e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003300000000000002 y[1] (analytic) = 0.004982028283466829 y[1] (numeric) = 0.004982028283466815 absolute error = 1.387778780781446e-17 relative error = 2.785569855929714e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003400000000000002 y[1] (analytic) = 0.004980609653524984 y[1] (numeric) = 0.004980609653524979 absolute error = 4.336808689942018e-18 relative error = 8.707385223157729e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003500000000000003 y[1] (analytic) = 0.00497919122760759 y[1] (numeric) = 0.004979191227607586 absolute error = 3.469446951953614e-18 relative error = 6.967892561982641e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003600000000000003 y[1] (analytic) = 0.004977773005713487 y[1] (numeric) = 0.004977773005713479 absolute error = 7.806255641895632e-18 relative error = 1.568222502901521e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003700000000000003 y[1] (analytic) = 0.004976354987841511 y[1] (numeric) = 0.004976354987841499 absolute error = 1.214306433183765e-17 relative error = 2.440152352777528e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003800000000000003 y[1] (analytic) = 0.004974937173990502 y[1] (numeric) = 0.00497493717399049 absolute error = 1.214306433183765e-17 relative error = 2.440847774987567e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003900000000000004 y[1] (analytic) = 0.00497351956415935 y[1] (numeric) = 0.004973519564159295 absolute error = 5.551115123125783e-17 relative error = 1.116134168472716e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004000000000000004 y[1] (analytic) = 0.004972102158346783 y[1] (numeric) = 0.004972102158346757 absolute error = 2.602085213965211e-17 relative error = 5.233370375540314e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004100000000000004 y[1] (analytic) = 0.004970684956551744 y[1] (numeric) = 0.004970684956551718 absolute error = 2.602085213965211e-17 relative error = 5.234862472093433e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004200000000000005 y[1] (analytic) = 0.004969267958773017 y[1] (numeric) = 0.004969267958773024 absolute error = 6.938893903907228e-18 relative error = 1.396361387929771e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004300000000000005 y[1] (analytic) = 0.004967851165009542 y[1] (numeric) = 0.004967851165009517 absolute error = 2.51534904016637e-17 relative error = 5.063253621370395e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004400000000000005 y[1] (analytic) = 0.004966434575260046 y[1] (numeric) = 0.004966434575260041 absolute error = 5.204170427930421e-18 relative error = 1.047868515947968e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004500000000000005 y[1] (analytic) = 0.004965018189523471 y[1] (numeric) = 0.004965018189523439 absolute error = 3.122502256758253e-17 relative error = 6.289004667388626e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004600000000000006 y[1] (analytic) = 0.004963602007798594 y[1] (numeric) = 0.004963602007798557 absolute error = 3.729655473350135e-17 relative error = 7.51400992160585e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004700000000000006 y[1] (analytic) = 0.004962186030084251 y[1] (numeric) = 0.004962186030084238 absolute error = 1.214306433183765e-17 relative error = 2.447119930252086e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004800000000000006 y[1] (analytic) = 0.004960770256379325 y[1] (numeric) = 0.004960770256379328 absolute error = 3.469446951953614e-18 relative error = 6.993766638340212e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004900000000000006 y[1] (analytic) = 0.004959354686682702 y[1] (numeric) = 0.004959354686682671 absolute error = 3.122502256758253e-17 relative error = 6.296186609001917e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005000000000000007 y[1] (analytic) = 0.00495793932099316 y[1] (numeric) = 0.004957939320993111 absolute error = 4.85722573273506e-17 relative error = 9.79686401600025e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005100000000000007 y[1] (analytic) = 0.004956524159309527 y[1] (numeric) = 0.004956524159309494 absolute error = 3.295974604355933e-17 relative error = 6.649770077616412e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005200000000000007 y[1] (analytic) = 0.004955109201630688 y[1] (numeric) = 0.004955109201630664 absolute error = 2.34187669256869e-17 relative error = 4.72618583622334e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005300000000000007 y[1] (analytic) = 0.004953694447955527 y[1] (numeric) = 0.004953694447955469 absolute error = 5.811323644522304e-17 relative error = 1.173129208023869e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005400000000000008 y[1] (analytic) = 0.004952279898282762 y[1] (numeric) = 0.004952279898282751 absolute error = 1.127570259384925e-17 relative error = 2.276871022124411e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005500000000000008 y[1] (analytic) = 0.004950865552611385 y[1] (numeric) = 0.004950865552611357 absolute error = 2.775557561562891e-17 relative error = 5.606206696723757e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005600000000000008 y[1] (analytic) = 0.00494945141094017 y[1] (numeric) = 0.004949451410940135 absolute error = 3.469446951953614e-17 relative error = 7.009760605558865e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005700000000000008 y[1] (analytic) = 0.00494803747326794 y[1] (numeric) = 0.004948037473267928 absolute error = 1.214306433183765e-17 relative error = 2.45411729346054e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005800000000000009 y[1] (analytic) = 0.00494662373959358 y[1] (numeric) = 0.004946623739593584 absolute error = 4.336808689942018e-18 relative error = 8.76720955190001e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005900000000000009 y[1] (analytic) = 0.004945210209915968 y[1] (numeric) = 0.004945210209915949 absolute error = 1.821459649775647e-17 relative error = 3.683280532995986e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006000000000000009 y[1] (analytic) = 0.004943796884233928 y[1] (numeric) = 0.00494379688423387 absolute error = 5.724587470723463e-17 relative error = 1.157933386984308e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006100000000000009 y[1] (analytic) = 0.004942383762546232 y[1] (numeric) = 0.004942383762546194 absolute error = 3.816391647148976e-17 relative error = 7.721763081349304e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000620000000000001 y[1] (analytic) = 0.004940970844851757 y[1] (numeric) = 0.004940970844851766 absolute error = 9.540979117872439e-18 relative error = 1.930992798270336e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000630000000000001 y[1] (analytic) = 0.004939558131149489 y[1] (numeric) = 0.004939558131149435 absolute error = 5.377642775528102e-17 relative error = 1.088689035081093e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000640000000000001 y[1] (analytic) = 0.004938145621438089 y[1] (numeric) = 0.004938145621438048 absolute error = 4.076600168545497e-17 relative error = 8.255325948363401e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006500000000000011 y[1] (analytic) = 0.004936733315716487 y[1] (numeric) = 0.004936733315716452 absolute error = 3.556183125752455e-17 relative error = 7.203514750191306e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006600000000000011 y[1] (analytic) = 0.004935321213983507 y[1] (numeric) = 0.004935321213983494 absolute error = 1.214306433183765e-17 relative error = 2.460440527646319e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006700000000000011 y[1] (analytic) = 0.004933909316238075 y[1] (numeric) = 0.004933909316238024 absolute error = 5.117434254131581e-17 relative error = 1.037196658092094e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006800000000000011 y[1] (analytic) = 0.004932497622478904 y[1] (numeric) = 0.004932497622478887 absolute error = 1.734723475976807e-17 relative error = 3.516927140666303e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006900000000000012 y[1] (analytic) = 0.004931086132704925 y[1] (numeric) = 0.004931086132704933 absolute error = 8.673617379884035e-18 relative error = 1.758966918536903e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007000000000000012 y[1] (analytic) = 0.004929674846915063 y[1] (numeric) = 0.004929674846915011 absolute error = 5.290906601729262e-17 relative error = 1.073276994128782e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007100000000000012 y[1] (analytic) = 0.004928263765107977 y[1] (numeric) = 0.004928263765107967 absolute error = 9.540979117872439e-18 relative error = 1.935971687518515e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007200000000000012 y[1] (analytic) = 0.004926852887282645 y[1] (numeric) = 0.004926852887282652 absolute error = 6.938893903907228e-18 relative error = 1.408382605013056e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007300000000000013 y[1] (analytic) = 0.004925442213437941 y[1] (numeric) = 0.004925442213437914 absolute error = 2.775557561562891e-17 relative error = 5.63514389426886e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007400000000000013 y[1] (analytic) = 0.004924031743572628 y[1] (numeric) = 0.004924031743572601 absolute error = 2.688821387764051e-17 relative error = 5.460609370103652e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007500000000000013 y[1] (analytic) = 0.004922621477685575 y[1] (numeric) = 0.004922621477685563 absolute error = 1.127570259384925e-17 relative error = 2.290588997135454e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007600000000000013 y[1] (analytic) = 0.004921211415775654 y[1] (numeric) = 0.00492121141577565 absolute error = 4.336808689942018e-18 relative error = 8.81248197555535e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007700000000000014 y[1] (analytic) = 0.004919801557841735 y[1] (numeric) = 0.004919801557841711 absolute error = 2.42861286636753e-17 relative error = 4.936404116740303e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007800000000000014 y[1] (analytic) = 0.004918391903882632 y[1] (numeric) = 0.004918391903882596 absolute error = 3.642919299551295e-17 relative error = 7.406728399734748e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007900000000000014 y[1] (analytic) = 0.00491698245389716 y[1] (numeric) = 0.004916982453897154 absolute error = 6.071532165918825e-18 relative error = 1.234808588976473e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008000000000000014 y[1] (analytic) = 0.004915573207884295 y[1] (numeric) = 0.004915573207884235 absolute error = 5.984795992119984e-17 relative error = 1.217517416386093e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008100000000000015 y[1] (analytic) = 0.004914164165842742 y[1] (numeric) = 0.004914164165842691 absolute error = 5.117434254131581e-17 relative error = 1.041364122448681e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008200000000000015 y[1] (analytic) = 0.004912755327771368 y[1] (numeric) = 0.00491275532777137 absolute error = 2.602085213965211e-18 relative error = 5.296590284592141e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008300000000000015 y[1] (analytic) = 0.004911346693669149 y[1] (numeric) = 0.004911346693669125 absolute error = 2.34187669256869e-17 relative error = 4.768298470127202e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008400000000000016 y[1] (analytic) = 0.00490993826353484 y[1] (numeric) = 0.004909938263534805 absolute error = 3.469446951953614e-17 relative error = 7.066172252552592e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008500000000000016 y[1] (analytic) = 0.004908530037367308 y[1] (numeric) = 0.004908530037367262 absolute error = 4.597017211338539e-17 relative error = 9.365364327696262e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008600000000000016 y[1] (analytic) = 0.004907122015165363 y[1] (numeric) = 0.004907122015165345 absolute error = 1.734723475976807e-17 relative error = 3.535113801156113e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008700000000000016 y[1] (analytic) = 0.004905714196927923 y[1] (numeric) = 0.004905714196927908 absolute error = 1.474514954580286e-17 relative error = 3.005709047428126e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008800000000000017 y[1] (analytic) = 0.004904306582653852 y[1] (numeric) = 0.004904306582653801 absolute error = 5.117434254131581e-17 relative error = 1.043457248825256e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008900000000000017 y[1] (analytic) = 0.004902899172341905 y[1] (numeric) = 0.004902899172341876 absolute error = 2.949029909160572e-17 relative error = 6.014869581239923e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009000000000000017 y[1] (analytic) = 0.004901491965990998 y[1] (numeric) = 0.004901491965990983 absolute error = 1.474514954580286e-17 relative error = 3.008298217790028e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009100000000000017 y[1] (analytic) = 0.004900084963599993 y[1] (numeric) = 0.004900084963599977 absolute error = 1.647987302177967e-17 relative error = 3.363181076287346e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009200000000000018 y[1] (analytic) = 0.004898678165167752 y[1] (numeric) = 0.004898678165167708 absolute error = 4.423544863740858e-17 relative error = 9.030078553015896e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009300000000000018 y[1] (analytic) = 0.004897271570693026 y[1] (numeric) = 0.004897271570693028 absolute error = 2.602085213965211e-18 relative error = 5.3133365720149e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009400000000000018 y[1] (analytic) = 0.004895865180174839 y[1] (numeric) = 0.004895865180174791 absolute error = 4.77048955893622e-17 relative error = 9.743915290506137e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009500000000000018 y[1] (analytic) = 0.004894458993611887 y[1] (numeric) = 0.004894458993611849 absolute error = 3.816391647148976e-17 relative error = 7.797371787423339e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009600000000000019 y[1] (analytic) = 0.004893053011003084 y[1] (numeric) = 0.004893053011003055 absolute error = 2.949029909160572e-17 relative error = 6.026973144433634e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009700000000000019 y[1] (analytic) = 0.00489164723234729 y[1] (numeric) = 0.004891647232347261 absolute error = 2.862293735361732e-17 relative error = 5.851390338277196e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009800000000000019 y[1] (analytic) = 0.00489024165764336 y[1] (numeric) = 0.004890241657643322 absolute error = 3.816391647148976e-17 relative error = 7.804096227400182e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009900000000000019 y[1] (analytic) = 0.004888836286890099 y[1] (numeric) = 0.00488883628689009 absolute error = 9.540979117872439e-18 relative error = 1.951584908551248e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001000000000000002 y[1] (analytic) = 0.004887431120086418 y[1] (numeric) = 0.004887431120086418 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; Iterations = 100 Total Elapsed Time = 14 Seconds Elapsed Time(since restart) = 14 Seconds Expected Time Remaining = 19 Hours 14 Minutes 52 Seconds Optimized Time Remaining = 19 Hours 14 Minutes 52 Seconds Time to Timeout = 46 Seconds Percent Done = 0.0202 %