##############ECHO OF PROBLEM################# ##############temp/mtest7_sm_hpostode.ode################# diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 ; ! // 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_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_look_poles=true; glob_max_iter=20; glob_max_h=0.000001; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return( cos(x)); } double exact_soln_y2 (double x) { return( sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y2ppp (double x) { return( -cos(x)); } double exact_soln_y2pppp (double x) { return( sin(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 5 estimated_steps = 5000000 step_error = 2e-17 est_needed_step_err = 2e-17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.479596263224795e-183 max_value3 = 2.479596263224795e-183 value3 = 2.479596263224795e-183 best_h = 1e-06 START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y2[1] (analytic) = 0 y2[1] (numeric) = 0 absolute error = 0 relative error = -1 % Correct digits = -1 h = 1e-06 y1[1] (analytic) = 1 y1[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.001000000000000015 y2[1] (analytic) = 0.0009999998333333569 y2[1] (numeric) = 0.001000000000000019 absolute error = 1.666666618084511e-10 relative error = 1.666666895862288e-05 % Correct digits = 6 h = 1e-06 y1[1] (analytic) = 0.9999995000000417 y1[1] (numeric) = 0.9999994999999997 absolute error = 4.196643033083092e-14 relative error = 4.196645131405483e-12 % Correct digits = 13 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.002000999999999941 y2[1] (analytic) = 0.002000998664665875 y2[1] (numeric) = 0.002001000000000281 absolute error = 1.335334405550004e-09 relative error = 6.673339813412502e-05 % Correct digits = 6 h = 1e-06 y1[1] (analytic) = 0.999997998000168 y1[1] (numeric) = 0.9999979979994993 absolute error = 6.686873277317318e-13 relative error = 6.686886664463297e-11 % Correct digits = 12 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.003000000000000074 y2[1] (analytic) = 0.002999995500002099 y2[1] (numeric) = 0.003000000000002018 absolute error = 4.499999919568842e-09 relative error = 0.00015000022231919 % Correct digits = 5 h = 1e-06 y1[1] (analytic) = 0.999995500003375 y1[1] (numeric) = 0.9999954999999998 absolute error = 3.375189017162938e-12 relative error = 3.375204205570472e-10 % Correct digits = 11 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.004000000000000207 y2[1] (analytic) = 0.003999989333342073 y2[1] (numeric) = 0.004000000000008515 absolute error = 1.066666644160968e-08 relative error = 0.0002666673721526518 % Correct digits = 5 h = 1e-06 y1[1] (analytic) = 0.9999920000106667 y1[1] (numeric) = 0.999992 absolute error = 1.066668975369112e-11 relative error = 1.066677508777804e-09 % Correct digits = 10 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.005000000000000339 y2[1] (analytic) = 0.004999979166693047 y2[1] (numeric) = 0.005000000000026009 absolute error = 2.08333329615451e-08 relative error = 0.0004166683953470176 % Correct digits = 5 h = 1e-06 y1[1] (analytic) = 0.9999875000260416 y1[1] (numeric) = 0.9999874999999996 absolute error = 2.604205739942245e-11 relative error = 2.604238292853087e-09 % Correct digits = 10 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.006000000000000472 y2[1] (analytic) = 0.005999964000065272 y2[1] (numeric) = 0.00600000000006475 absolute error = 3.599999947884874e-08 relative error = 0.0006000035913291665 % Correct digits = 5 h = 1e-06 y1[1] (analytic) = 0.999982000054 y1[1] (numeric) = 0.9999819999999996 absolute error = 5.400035973934791e-11 relative error = 5.400133176040354e-09 % Correct digits = 10 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.007000000000000605 y2[1] (analytic) = 0.006999942833473996 y2[1] (numeric) = 0.007000000000139993 absolute error = 5.716666599733106e-08 relative error = 0.0008166733265871524 % Correct digits = 5 h = 1e-06 y1[1] (analytic) = 0.9999755001000415 y1[1] (numeric) = 0.9999754999999999 absolute error = 1.000416416374605e-10 relative error = 1.000440927077233e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.008000000000000574 y2[1] (analytic) = 0.007999914666940307 y2[1] (numeric) = 0.008000000000272987 absolute error = 8.533333267952969e-08 relative error = 0.00106667803635669 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999680001706663 y1[1] (numeric) = 0.9999679999999996 absolute error = 1.706667029921505e-10 relative error = 1.706721644722856e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.009000999999999839 y2[1] (analytic) = 0.009000878459987687 y2[1] (numeric) = 0.009001000000492254 absolute error = 1.215405045669471e-07 relative error = 0.001350318250682316 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999594912729958 y1[1] (numeric) = 0.9999594909994987 absolute error = 2.73497113845167e-10 relative error = 2.735081933139033e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.0100009999999991 y2[1] (analytic) = 0.01000083328416118 y2[1] (numeric) = 0.01000100000083365 absolute error = 1.667166724603208e-07 relative error = 0.001667027813815858 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999499904163319 y1[1] (numeric) = 0.9999499899994986 absolute error = 4.168333456178175e-10 relative error = 4.168541923224258e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01100099999999837 y2[1] (analytic) = 0.01100077810750223 y2[1] (numeric) = 0.01100100000134259 absolute error = 2.218938403523302e-07 relative error = 0.002017074048616657 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999394896097611 y1[1] (numeric) = 0.9999394889994977 absolute error = 6.102633953730674e-10 relative error = 6.103003248838891e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01200099999999764 y2[1] (analytic) = 0.01200071193006609 y2[1] (numeric) = 0.01200100000207433 absolute error = 2.880720082372445e-07 relative error = 0.002400457655478928 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999279888637839 y1[1] (numeric) = 0.9999279879994956 absolute error = 8.642883075893337e-10 relative error = 8.64350550454561e-08 % Correct digits = 9 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.0130009999999969 y2[1] (analytic) = 0.01300063375191902 y2[1] (numeric) = 0.01300100000309514 absolute error = 3.662511761214765e-07 relative error = 0.002817179401484288 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999154881899012 y1[1] (numeric) = 0.9999154869994932 absolute error = 1.190407994400289e-09 relative error = 1.190508606437557e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01400099999999617 y2[1] (analytic) = 0.01400054257313928 y2[1] (numeric) = 0.01400100000448329 absolute error = 4.574313440131733e-07 relative error = 0.003267240120327748 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9999019876006137 y1[1] (numeric) = 0.9999019859994897 absolute error = 1.601124011152422e-09 relative error = 1.601280956541064e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01500099999999543 y2[1] (analytic) = 0.01500043739381813 y2[1] (numeric) = 0.01500100000633003 absolute error = 5.626125118979308e-07 relative error = 0.003750640712182102 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9998874871094218 y1[1] (numeric) = 0.999887484999484 absolute error = 2.109937780048199e-09 relative error = 2.110175201959798e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01600099999999535 y2[1] (analytic) = 0.01600031721406149 y2[1] (numeric) = 0.01600100000874064 absolute error = 6.827946791437833e-07 relative error = 0.004267382140047359 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9998719867308261 y1[1] (numeric) = 0.9998719839994769 absolute error = 2.731349257878435e-09 relative error = 2.731698951591627e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01700099999999635 y2[1] (analytic) = 0.01700018103399006 y2[1] (numeric) = 0.01700100001183537 absolute error = 8.189778453147889e-07 relative error = 0.00481746543567583 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9998554864803271 y1[1] (numeric) = 0.9998554829994667 absolute error = 3.480860377713668e-09 relative error = 3.481363481803684e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01800099999999735 y2[1] (analytic) = 0.018000027853739 y2[1] (numeric) = 0.01800100001575049 absolute error = 9.721620114859497e-07 relative error = 0.005400891706309278 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9998379863744249 y1[1] (numeric) = 0.9998379819994527 absolute error = 4.374972162324298e-09 relative error = 4.375681082280799e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.01900099999999835 y2[1] (analytic) = 0.01899985667346159 y2[1] (numeric) = 0.01900100002063925 absolute error = 1.14334717765327e-06 relative error = 0.006017662118737251 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9998194864306196 y1[1] (numeric) = 0.999819480999435 absolute error = 5.43118461315828e-09 relative error = 5.432165192686676e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02000099999999935 y2[1] (analytic) = 0.0199996664933291 y2[1] (numeric) = 0.02000100002667292 absolute error = 1.333533343819693e-06 relative error = 0.006667777906519061 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9997999866674112 y1[1] (numeric) = 0.9997999799994111 absolute error = 6.668000152032505e-09 relative error = 6.669334107773548e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02100000000000035 y2[1] (analytic) = 0.02099845653403417 y2[1] (numeric) = 0.02100000003403367 absolute error = 1.54349999949982e-06 relative error = 0.007350540250413762 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9997795081032559 y1[1] (numeric) = 0.999779499999881 absolute error = 8.103374860013446e-09 relative error = 8.105161982552397e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02200000000000135 y2[1] (analytic) = 0.02199822537628112 y2[1] (numeric) = 0.02200000004294624 absolute error = 1.774666665121938e-06 relative error = 0.008067317407500585 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9997580097605092 y1[1] (numeric) = 0.9997579999998429 absolute error = 9.760666275226981e-09 relative error = 9.763028832912413e-07 % Correct digits = 8 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02300000000000235 y2[1] (analytic) = 0.02299797222030453 y2[1] (numeric) = 0.0230000000536353 absolute error = 2.027833330774109e-06 relative error = 0.008817444039626105 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.999735511659836 y1[1] (numeric) = 0.9997354999997945 absolute error = 1.166004148789312e-08 relative error = 1.166312624879579e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02400000000000335 y2[1] (analytic) = 0.02399769606635764 y2[1] (numeric) = 0.02400000006635408 absolute error = 2.30399999644193e-06 relative error = 0.009600921647107227 % Correct digits = 4 h = 1e-06 y1[1] (analytic) = 0.9997120138237345 y1[1] (numeric) = 0.9997119999997343 absolute error = 1.382400027782893e-08 relative error = 1.382798254564772e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02500000000000435 y2[1] (analytic) = 0.02499739591471668 y2[1] (numeric) = 0.02500000008137876 absolute error = 2.604166662079771e-06 relative error = 0.01041775179688467 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9996875162757025 y1[1] (numeric) = 0.9996874999996604 absolute error = 1.627604206966282e-08 relative error = 1.628112965769403e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02600000000000535 y2[1] (analytic) = 0.02599707076568189 y2[1] (numeric) = 0.02600000009900962 absolute error = 2.929333327732209e-06 relative error = 0.01126793612301564 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9996620190402374 y1[1] (numeric) = 0.9996619999995707 absolute error = 1.904066670999072e-08 relative error = 1.904710426857211e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02700000000000635 y2[1] (analytic) = 0.0269967196195785 y2[1] (numeric) = 0.02700000011957189 absolute error = 3.280499993391778e-06 relative error = 0.01215147632608186 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9996355221428368 y1[1] (numeric) = 0.9996354999994622 absolute error = 2.214337457839832e-08 relative error = 2.215144829080442e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02800000000000735 y2[1] (analytic) = 0.02799634147675773 y2[1] (numeric) = 0.02800000014341689 absolute error = 3.658666659151627e-06 relative error = 0.01306837417377915 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9996080256099972 y1[1] (numeric) = 0.999607999999331 absolute error = 2.561066614337193e-08 relative error = 2.562070880507724e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.02900000000000835 y2[1] (analytic) = 0.02899593533759783 y2[1] (numeric) = 0.02900000017092264 absolute error = 4.064833324806533e-06 relative error = 0.01401863149948411 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9995795294692152 y1[1] (numeric) = 0.9995794999991738 absolute error = 2.94700414071869e-08 relative error = 2.948243790350101e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03000000000000935 y2[1] (analytic) = 0.02999550020250501 y2[1] (numeric) = 0.03000000020249547 absolute error = 4.499999990463521e-06 relative error = 0.01500225020447472 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9995500337489872 y1[1] (numeric) = 0.9995499999989874 absolute error = 3.374999979488535e-08 relative error = 3.376519299219077e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03100000000001035 y2[1] (analytic) = 0.03099503507191448 y2[1] (numeric) = 0.03100000023857058 absolute error = 4.96516665609778e-06 relative error = 0.01601923225631987 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9995195384788087 y1[1] (numeric) = 0.9995194999987677 absolute error = 3.848004104245462e-08 relative error = 3.849853810863793e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03200000000001135 y2[1] (analytic) = 0.03199453894629146 y2[1] (numeric) = 0.03200000027961321 absolute error = 5.461333321750417e-06 relative error = 0.0170695796895784 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.999488043689175 y1[1] (numeric) = 0.9994879999985085 absolute error = 4.369066652909481e-08 relative error = 4.371304569870564e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03300000000001235 y2[1] (analytic) = 0.03299401082613216 y2[1] (numeric) = 0.03300000032611956 absolute error = 5.989499987396618e-06 relative error = 0.01815329460537356 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9994555494115809 y1[1] (numeric) = 0.9994554999982063 absolute error = 4.941337461428219e-08 relative error = 4.944029241057675e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03400000000001335 y2[1] (analytic) = 0.03399344971196478 y2[1] (numeric) = 0.03400000037861789 absolute error = 6.550666653108717e-06 relative error = 0.01927037917191163 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9994220556785207 y1[1] (numeric) = 0.999421999997854 absolute error = 5.568066674399574e-08 relative error = 5.571286567834789e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03500000000001435 y2[1] (analytic) = 0.03499285460435053 y2[1] (numeric) = 0.03500000043766924 absolute error = 7.145833318712713e-06 relative error = 0.02042083562346553 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.999387562523488 y1[1] (numeric) = 0.9993874999974468 absolute error = 6.252604123346828e-08 relative error = 6.256435799099587e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03600000000001535 y2[1] (analytic) = 0.03599222450388459 y2[1] (numeric) = 0.03600000050386896 absolute error = 7.775999984367676e-06 relative error = 0.02160466626209342 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9993520699809763 y1[1] (numeric) = 0.9993519999969742 absolute error = 6.99840020379483e-08 relative error = 7.002937617298428e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03700000000001635 y2[1] (analytic) = 0.03699155841119714 y2[1] (numeric) = 0.03700000057784721 absolute error = 8.44216665007308e-06 relative error = 0.02282187345618205 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9993155780864776 y1[1] (numeric) = 0.9993154999964392 absolute error = 7.809003843561868e-08 relative error = 7.814352157418386e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03800000000001735 y2[1] (analytic) = 0.03799085532695436 y2[1] (numeric) = 0.03800000066027012 absolute error = 9.145333315752069e-06 relative error = 0.02407245964073752 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9992780868764842 y1[1] (numeric) = 0.9992779999958233 absolute error = 8.688066088780033e-08 relative error = 8.694342648838573e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.03900000000001835 y2[1] (analytic) = 0.03899011425185943 y2[1] (numeric) = 0.03900000075184083 absolute error = 9.886499981397179e-06 relative error = 0.02535642731779298 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9992395963884873 y1[1] (numeric) = 0.9992394999951235 absolute error = 9.639336373545859e-08 relative error = 9.646671737574189e-06 % Correct digits = 7 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04000000000001935 y2[1] (analytic) = 0.03998933418665349 y2[1] (numeric) = 0.04000000085330063 absolute error = 1.066666664713972e-05 relative error = 0.02667377905656589 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9992001066609771 y1[1] (numeric) = 0.99919999999432 absolute error = 1.066666571736263e-07 relative error = 1.067520474252889e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04100000000002035 y2[1] (analytic) = 0.0409885141321167 y2[1] (numeric) = 0.04100000096542953 absolute error = 1.148683331283346e-05 relative error = 0.0280245174924087 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9991596177334436 y1[1] (numeric) = 0.999159499993411 absolute error = 1.177400326124456e-07 relative error = 1.178390624708537e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04200000000002135 y2[1] (analytic) = 0.04198765308906919 y2[1] (numeric) = 0.04200000108904768 absolute error = 1.234799997849173e-05 relative error = 0.02940864532794364 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9991181296463757 y1[1] (numeric) = 0.9991179999923854 absolute error = 1.296539903217209e-07 relative error = 1.297684292523149e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04300000000002235 y2[1] (analytic) = 0.04298675005837209 y2[1] (numeric) = 0.04300000122501629 absolute error = 1.325116664420423e-05 relative error = 0.03082616533283012 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9990756424412613 y1[1] (numeric) = 0.9990754999912285 absolute error = 1.424500328806033e-07 relative error = 1.425818294724149e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04400000000002335 y2[1] (analytic) = 0.04398580404092851 y2[1] (numeric) = 0.04400000137423832 absolute error = 1.419733330981082e-05 relative error = 0.03227708034301315 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9990321561605878 y1[1] (numeric) = 0.9990319999899299 absolute error = 1.56170657961141e-07 relative error = 1.56321953200511e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04500000000002435 y2[1] (analytic) = 0.04498481403768456 y2[1] (numeric) = 0.04500000153766005 absolute error = 1.518749997548446e-05 relative error = 0.03376139326209425 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9989876708478413 y1[1] (numeric) = 0.9989874999884757 absolute error = 1.708593656557511e-07 relative error = 1.710325068484005e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04600000000002535 y2[1] (analytic) = 0.04598377904963032 y2[1] (numeric) = 0.04600000171627144 absolute error = 1.622266664112748e-05 relative error = 0.03527910705994466 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9989421865475072 y1[1] (numeric) = 0.9989419999868496 absolute error = 1.865606575890411e-07 relative error = 1.867582129390515e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04700000000002635 y2[1] (analytic) = 0.04698269807780086 y2[1] (numeric) = 0.0470000019111077 absolute error = 1.730383330683649e-05 relative error = 0.03683022477377153 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9988957033050699 y1[1] (numeric) = 0.9988954999850375 absolute error = 2.033200324769169e-07 relative error = 2.035448063338215e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04800000000002735 y2[1] (analytic) = 0.04798157012327724 y2[1] (numeric) = 0.04800000212324967 absolute error = 1.84319999724375e-05 relative error = 0.03841474950711462 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9988482211670124 y1[1] (numeric) = 0.998847999983022 absolute error = 2.211839904564528e-07 relative error = 2.214390392546634e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.04900000000002835 y2[1] (analytic) = 0.04898039418718749 y2[1] (numeric) = 0.04900000235382555 absolute error = 1.960816663806181e-05 relative error = 0.04003268443109222 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9987997401808171 y1[1] (numeric) = 0.9987994999807853 absolute error = 2.402000317536235e-07 relative error = 2.404886806539808e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05000000000002935 y2[1] (analytic) = 0.04997916927070764 y2[1] (numeric) = 0.05000000260401127 absolute error = 2.083333330363257e-05 relative error = 0.04168403278331961 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9987502603949647 y1[1] (numeric) = 0.998749999978308 absolute error = 2.604166566833044e-07 relative error = 2.607425169334327e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05100000000003035 y2[1] (analytic) = 0.05097789437506269 y2[1] (numeric) = 0.05100000287503192 absolute error = 2.210849996923947e-05 relative error = 0.04336879786869833 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9986997818589353 y1[1] (numeric) = 0.9986994999755705 absolute error = 2.81883364761093e-07 relative error = 2.822503517888107e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05200000000003135 y2[1] (analytic) = 0.0519765685015276 y2[1] (numeric) = 0.05200000316816249 absolute error = 2.343466663488891e-05 relative error = 0.04508698305891464 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9986483046232072 y1[1] (numeric) = 0.9986479999725507 absolute error = 3.046506564796658e-07 relative error = 3.050630087382078e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05300000000003235 y2[1] (analytic) = 0.05297519065142834 y2[1] (numeric) = 0.05300000348472887 absolute error = 2.481283330052486e-05 relative error = 0.04683859179250702 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9985958287392577 y1[1] (numeric) = 0.9985954999692265 absolute error = 3.287700311993547e-07 relative error = 3.292323297749318e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05400000000003335 y2[1] (analytic) = 0.05397375982614285 y2[1] (numeric) = 0.05400000382610907 absolute error = 2.624399996621618e-05 relative error = 0.04862362757523625 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9985423542595626 y1[1] (numeric) = 0.9985419999655729 absolute error = 3.542939897016595e-07 relative error = 3.548111787049584e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05500000000003435 y2[1] (analytic) = 0.05497227502710203 y2[1] (numeric) = 0.05500000419373386 absolute error = 2.77291666318305e-05 relative error = 0.0504420939794827 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9984878812375966 y1[1] (numeric) = 0.9984874999615651 absolute error = 3.812760315247132e-07 relative error = 3.818534392747288e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05600000000003535 y2[1] (analytic) = 0.05597073525579076 y2[1] (numeric) = 0.05600000458908826 absolute error = 2.926933329749221e-05 relative error = 0.05229399464511052 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9984324097278324 y1[1] (numeric) = 0.9984319999571759 absolute error = 4.09770656517594e-07 relative error = 4.104140175390495e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05700000000003635 y2[1] (analytic) = 0.05696913951374891 y2[1] (numeric) = 0.05700000501371208 absolute error = 3.0865499963173e-05 relative error = 0.05417933327872003 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9983759397857417 y1[1] (numeric) = 0.998375499952377 absolute error = 4.398333647293029e-07 relative error = 4.405488425769697e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05800000000003735 y2[1] (analytic) = 0.05796748680257228 y2[1] (numeric) = 0.05800000546920114 absolute error = 3.251866662886543e-05 relative error = 0.05609811365398445 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9983184714677945 y1[1] (numeric) = 0.9983179999471381 absolute error = 4.715206564087637e-07 relative error = 4.723148673343713e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.05900000000003835 y2[1] (analytic) = 0.05896577612391368 y2[1] (numeric) = 0.0590000059572082 absolute error = 3.42298332945204e-05 relative error = 0.0580503396115538 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9982600048314589 y1[1] (numeric) = 0.9982594999414279 absolute error = 5.048900310056226e-07 relative error = 5.057700684811725e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06000000000003935 y2[1] (analytic) = 0.05996400647948388 y2[1] (numeric) = 0.06000000647944394 absolute error = 3.599999996006104e-05 relative error = 0.06003601505909732 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9982005399352019 y1[1] (numeric) = 0.9981999999352126 absolute error = 5.399999892796714e-07 relative error = 5.409734493979792e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06100000000004035 y2[1] (analytic) = 0.06096217687105258 y2[1] (numeric) = 0.06100000703767832 absolute error = 3.783016662573663e-05 relative error = 0.06205514397190103 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9981400768384879 y1[1] (numeric) = 0.9981394999284573 absolute error = 5.769100306363129e-07 relative error = 5.779850383962335e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06200000000004135 y2[1] (analytic) = 0.06196028630044951 y2[1] (numeric) = 0.06200000763374083 absolute error = 3.97213332913246e-05 relative error = 0.06410773039154991 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9980786156017804 y1[1] (numeric) = 0.9980779999211249 absolute error = 6.156806554580285e-07 relative error = 6.168658919586317e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06300000000004234 y2[1] (analytic) = 0.06295833376956528 y2[1] (numeric) = 0.06300000826952233 absolute error = 4.167449995705341e-05 relative error = 0.06619377842747055 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9980161562865403 y1[1] (numeric) = 0.9980154999131768 absolute error = 6.563733634390445e-07 relative error = 6.576780939912893e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06400000000004334 y2[1] (analytic) = 0.06395631828035254 y2[1] (numeric) = 0.06400000894697518 absolute error = 4.36906666226311e-05 relative error = 0.06831329225536881 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9979526989552272 y1[1] (numeric) = 0.9979519999045722 absolute error = 6.990506550286213e-07 relative error = 7.004847582059437e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06500000000004434 y2[1] (analytic) = 0.06495423883482684 y2[1] (numeric) = 0.06500000966811512 absolute error = 4.577083328827225e-05 relative error = 0.07046627611888982 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9978882436712982 y1[1] (numeric) = 0.997887499895268 absolute error = 7.437760302098084e-07 relative error = 7.453500278482149e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06600000000004534 y2[1] (analytic) = 0.06595209443506773 y2[1] (numeric) = 0.06600001043502177 absolute error = 4.791599995403184e-05 relative error = 0.07265273432856163 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9978227904992087 y1[1] (numeric) = 0.9978219998852202 absolute error = 7.906139884994445e-07 relative error = 7.923390766650078e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06700000000004634 y2[1] (analytic) = 0.06694988408321968 y2[1] (numeric) = 0.06700001124983923 absolute error = 5.012716661954852e-05 relative error = 0.07487267126144644 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.997756339504412 y1[1] (numeric) = 0.9977554998743818 absolute error = 8.396300301694026e-07 relative error = 8.415181111116256e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06800000000004734 y2[1] (analytic) = 0.06794760678149313 y2[1] (numeric) = 0.06800001211477831 absolute error = 5.24053332851826e-05 relative error = 0.07712609136287671 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9976888907533589 y1[1] (numeric) = 0.9976879998627036 absolute error = 8.908906552473894e-07 relative error = 8.929543703495329e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.06900000000004834 y2[1] (analytic) = 0.06894526153216544 y2[1] (numeric) = 0.06900001303211631 absolute error = 5.475149995086415e-05 relative error = 0.07941299914472093 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9976204443134981 y1[1] (numeric) = 0.9976194998501348 absolute error = 9.444633632949007e-07 relative error = 9.467161270384982e-05 % Correct digits = 6 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07000000000004934 y2[1] (analytic) = 0.06994284733758198 y2[1] (numeric) = 0.07000001400419847 absolute error = 5.71666666164955e-05 relative error = 0.08173339918602152 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9975510002532761 y1[1] (numeric) = 0.9975499998366215 absolute error = 1.000416654628467e-06 relative error = 0.0001002872689591272 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07100000000005034 y2[1] (analytic) = 0.07094036320015701 y2[1] (numeric) = 0.0710000150334391 absolute error = 5.965183328209001e-05 relative error = 0.08408729613320895 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.997480558642137 y1[1] (numeric) = 0.9974794998221078 absolute error = 1.058820029209429e-06 relative error = 0.0001061494402107238 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07200000000005134 y2[1] (analytic) = 0.07193780812237476 y2[1] (numeric) = 0.07200001612232243 absolute error = 6.22079999476749e-05 relative error = 0.08647469469997154 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9974091195505225 y1[1] (numeric) = 0.9974079998065351 absolute error = 1.119743987421096e-06 relative error = 0.0001122652646213725 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07300000000005234 y2[1] (analytic) = 0.07293518110679036 y2[1] (numeric) = 0.07300001727340365 absolute error = 6.483616661329128e-05 relative error = 0.0888955996672708 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9973366830498714 y1[1] (numeric) = 0.9973354997898425 absolute error = 1.183260028958522e-06 relative error = 0.0001186419841031109 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07400000000005334 y2[1] (analytic) = 0.07393248115603095 y2[1] (numeric) = 0.0740000184893099 absolute error = 6.75373332789525e-05 relative error = 0.09135001588330062 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9972632492126204 y1[1] (numeric) = 0.9972619997719666 absolute error = 1.249440653827705e-06 relative error = 0.0001252869445268527 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07500000000005434 y2[1] (analytic) = 0.07492970727279653 y2[1] (numeric) = 0.07500001977274101 absolute error = 7.031249994447764e-05 relative error = 0.0938379482632849 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9971888181122034 y1[1] (numeric) = 0.9971874997528414 absolute error = 1.318359362012522e-06 relative error = 0.0001322075957999943 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07600000000005534 y2[1] (analytic) = 0.07592685845986109 y2[1] (numeric) = 0.07600002112647118 absolute error = 7.316266661008819e-05 relative error = 0.0963594017902977 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9971133898230513 y1[1] (numeric) = 0.9971119997323977 absolute error = 1.390090653585752e-06 relative error = 0.0001394114919901375 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07700000000005634 y2[1] (analytic) = 0.07692393372007351 y2[1] (numeric) = 0.07700002255334912 absolute error = 7.608883327560323e-05 relative error = 0.09891438151419918 % Correct digits = 3 h = 1e-06 y1[1] (analytic) = 0.9970369644205924 y1[1] (numeric) = 0.997035499710564 absolute error = 1.464710028376004e-06 relative error = 0.0001469062914058748 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07800000000005734 y2[1] (analytic) = 0.07792093205635862 y2[1] (numeric) = 0.0780000240562998 absolute error = 7.909199994117488e-05 relative error = 0.1015028925526317 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9969595419812523 y1[1] (numeric) = 0.9969579996872655 absolute error = 1.54229398674488e-06 relative error = 0.0001546997567905201 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.07900000000005834 y2[1] (analytic) = 0.07891785247171819 y2[1] (numeric) = 0.07900002563832494 absolute error = 8.217316660674712e-05 relative error = 0.1041249400903243 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9968811225824532 y1[1] (numeric) = 0.996879499662425 absolute error = 1.622920028254704e-06 relative error = 0.000162799755305876 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08000000000005934 y2[1] (analytic) = 0.07991469396923184 y2[1] (numeric) = 0.08000002730250415 absolute error = 8.533333327230552e-05 relative error = 0.1067805293794404 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9968017063026147 y1[1] (numeric) = 0.996799999635962 absolute error = 1.706666652667721e-06 relative error = 0.0001712142587514393 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08100000000006034 y2[1] (analytic) = 0.08091145555205818 y2[1] (numeric) = 0.08100002905199613 absolute error = 8.857349993794672e-05 relative error = 0.1094696657396786 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9967212932211529 y1[1] (numeric) = 0.9967194996077922 absolute error = 1.793613360723256e-06 relative error = 0.000179951343762984 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08200000000006134 y2[1] (analytic) = 0.08190813622343572 y2[1] (numeric) = 0.08200003089003928 absolute error = 9.189466660355916e-05 relative error = 0.1121923545578932 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9966398834184809 y1[1] (numeric) = 0.9966379995778286 absolute error = 1.883840652250335e-06 relative error = 0.0001890191917454427 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08300000000006234 y2[1] (analytic) = 0.08290473498668387 y2[1] (numeric) = 0.08300003281995307 absolute error = 9.529783326919783e-05 relative error = 0.1149486012885809 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9965574769760085 y1[1] (numeric) = 0.9965554995459815 absolute error = 1.977430026944837e-06 relative error = 0.0001984260890746839 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08400000000006334 y2[1] (analytic) = 0.08390125084520393 y2[1] (numeric) = 0.08400003484513884 absolute error = 9.878399993490383e-05 relative error = 0.1177384114536722 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9964740739761422 y1[1] (numeric) = 0.9964719995121573 absolute error = 2.074463984924613e-06 relative error = 0.0002081804272786609 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08500000000006434 y2[1] (analytic) = 0.08489768280248014 y2[1] (numeric) = 0.08500003696908057 absolute error = 0.0001023541666004268 relative error = 0.1205617906422256 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.996389674502285 y1[1] (numeric) = 0.9963874994762586 absolute error = 2.175026026396409e-06 relative error = 0.0002182907031310692 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08600000000006534 y2[1] (analytic) = 0.08589402986208061 y2[1] (numeric) = 0.08600003919534678 absolute error = 0.0001060093332661688 relative error = 0.1234187445115652 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9963042786388363 y1[1] (numeric) = 0.9963019994381852 absolute error = 2.279200651100766e-06 relative error = 0.0002287655187243237 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08700000000006634 y2[1] (analytic) = 0.08689029102765838 y2[1] (numeric) = 0.08700004152759021 absolute error = 0.0001097504999318238 relative error = 0.1263092787856916 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.996217886471192 y1[1] (numeric) = 0.9962154993978328 absolute error = 2.387073359200187e-06 relative error = 0.0002396135816890108 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08800000000006734 y2[1] (analytic) = 0.08788646530295238 y2[1] (numeric) = 0.08800004396954972 absolute error = 0.000113578666597336 relative error = 0.1292333992564387 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9961304980857443 y1[1] (numeric) = 0.9961279993550934 absolute error = 2.498730650835057e-06 relative error = 0.0002508437052812706 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.08900000000006834 y2[1] (analytic) = 0.08888255169178839 y2[1] (numeric) = 0.08900004652505128 absolute error = 0.000117494833262885 relative error = 0.1321911117834616 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9960421135698814 y1[1] (numeric) = 0.9960394993098548 absolute error = 2.614260026567727e-06 relative error = 0.0002624648085609598 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09000000000006934 y2[1] (analytic) = 0.08987854919808011 y2[1] (numeric) = 0.09000004919800857 absolute error = 0.0001214999999284566 relative error = 0.1351824222937635 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9959527330119881 y1[1] (numeric) = 0.9959499992620033 absolute error = 2.733749984717981e-06 relative error = 0.0002744859162593488 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09100000000007034 y2[1] (analytic) = 0.09087445682583013 y2[1] (numeric) = 0.09100005199242418 absolute error = 0.0001255951665940502 relative error = 0.1382073367819582 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9958623565014446 y1[1] (numeric) = 0.9958594992114183 absolute error = 2.857290026359038e-06 relative error = 0.0002869161594175484 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09200000000007134 y2[1] (analytic) = 0.0918702735791309 y2[1] (numeric) = 0.09200005491239045 absolute error = 0.0001297813332595543 relative error = 0.1412658613101542 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9957709841286276 y1[1] (numeric) = 0.9957679991579764 absolute error = 2.984970651209728e-06 relative error = 0.0002997647751126024 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09300000000007234 y2[1] (analytic) = 0.09286599846216573 y2[1] (numeric) = 0.09300005796209077 absolute error = 0.0001340594999250377 relative error = 0.1443580020082964 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9956786159849096 y1[1] (numeric) = 0.9956754991015502 absolute error = 3.116883359410849e-06 relative error = 0.0003130411067759728 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09400000000007334 y2[1] (analytic) = 0.09386163047920985 y2[1] (numeric) = 0.09400006114580034 absolute error = 0.0001384306665904861 relative error = 0.1474837650738959 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9955852521626585 y1[1] (numeric) = 0.9955819990420075 absolute error = 3.253120650970054e-06 relative error = 0.0003267546042795901 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09500000000007434 y2[1] (analytic) = 0.09485716863463131 y2[1] (numeric) = 0.09500006446788775 absolute error = 0.0001428958332564401 relative error = 0.1506431567727295 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9954908927552382 y1[1] (numeric) = 0.9954874989792123 absolute error = 3.393776025872874e-06 relative error = 0.0003409148240904404 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09600000000007534 y2[1] (analytic) = 0.09585261193289203 y2[1] (numeric) = 0.09600006793281396 absolute error = 0.0001474559999219277 relative error = 0.1538361834366747 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9953955378570081 y1[1] (numeric) = 0.995391998913024 absolute error = 3.538943984082721e-06 relative error = 0.0003555314294156603 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09700000000007634 y2[1] (analytic) = 0.09684795937854881 y2[1] (numeric) = 0.09700007154513629 absolute error = 0.0001521121665874758 relative error = 0.1570628514669228 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.995299187563323 y1[1] (numeric) = 0.9952954988432977 absolute error = 3.688720025318837e-06 relative error = 0.0003706141903269817 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09800000000007734 y2[1] (analytic) = 0.09784320997625429 y2[1] (numeric) = 0.09800007530950731 absolute error = 0.0001568653332530284 relative error = 0.1603231673317937 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9952018419705334 y1[1] (numeric) = 0.9951979987698832 absolute error = 3.843200650166523e-06 relative error = 0.0003861729840206942 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.09900000000007834 y2[1] (analytic) = 0.09883836273075794 y2[1] (numeric) = 0.09900007923067652 absolute error = 0.0001617164999185849 relative error = 0.1636171375674353 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9951035011759848 y1[1] (numeric) = 0.9950994986926266 absolute error = 4.002483358189757e-06 relative error = 0.0004022177947781047 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1000000000000793 y2[1] (analytic) = 0.09983341664690711 y2[1] (numeric) = 0.1000000833134911 absolute error = 0.00016666666658402 relative error = 0.166944768777663 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9950041652780178 y1[1] (numeric) = 0.9949999986113683 absolute error = 4.166666649485506e-06 relative error = 0.0004187587142734506 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1010000000000803 y2[1] (analytic) = 0.1008283707296479 y2[1] (numeric) = 0.1010000875628974 absolute error = 0.0001717168332495134 relative error = 0.1703060676344155 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9949038343759685 y1[1] (numeric) = 0.9948994985259439 absolute error = 4.335850024572707e-06 relative error = 0.0004358059417161935 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1020000000000813 y2[1] (analytic) = 0.1018232239840264 y2[1] (numeric) = 0.1020000919839412 absolute error = 0.0001768679999147871 relative error = 0.1737010408770138 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9948025085701678 y1[1] (numeric) = 0.9947979984361854 absolute error = 4.51013398239386e-06 relative error = 0.0004533697838052587 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1030000000000823 y2[1] (analytic) = 0.1028179754151894 y2[1] (numeric) = 0.1030000965817695 absolute error = 0.0001821211665800765 relative error = 0.1771296953131519 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9947001879619414 y1[1] (numeric) = 0.9946954983419175 absolute error = 4.689620023867747e-06 relative error = 0.000471460655242902 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1040000000000833 y2[1] (analytic) = 0.1038126240283856 y2[1] (numeric) = 0.1040001013616309 absolute error = 0.0001874773332453256 relative error = 0.1805920378181207 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9945968726536099 y1[1] (numeric) = 0.9945919982429613 absolute error = 4.874410648558758e-06 relative error = 0.0004900890785584018 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1050000000000843 y2[1] (analytic) = 0.1048071688289664 y2[1] (numeric) = 0.105000106328877 absolute error = 0.0001929374999106587 relative error = 0.1840880753352962 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9944925627484886 y1[1] (numeric) = 0.9944874981391317 absolute error = 5.064609356897343e-06 relative error = 0.0005092656844914188 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1060000000000853 y2[1] (analytic) = 0.1058016088223871 y2[1] (numeric) = 0.1060001114889633 absolute error = 0.0001985026665762835 relative error = 0.1876178148760639 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9943872583508875 y1[1] (numeric) = 0.9943819980302391 absolute error = 5.260320648403649e-06 relative error = 0.0005290012119752494 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1070000000000863 y2[1] (analytic) = 0.1067959430142077 y2[1] (numeric) = 0.1070001168474491 absolute error = 0.0002041738332413945 relative error = 0.1911812635188136 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9942809595661108 y1[1] (numeric) = 0.9942754979160876 absolute error = 5.461650023241837e-06 relative error = 0.0005493065084566458 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1080000000000873 y2[1] (analytic) = 0.1077901704100943 y2[1] (numeric) = 0.1080001224100011 absolute error = 0.00020995199990681 relative error = 0.1947784284114542 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9941736665004575 y1[1] (numeric) = 0.9941679977964785 absolute error = 5.668703979000433e-06 relative error = 0.0005701925297372404 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1090000000000883 y2[1] (analytic) = 0.1087842900158194 y2[1] (numeric) = 0.1090001281823914 absolute error = 0.0002158381665719744 relative error = 0.1984093167686135 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9940653792612205 y1[1] (numeric) = 0.9940594976712001 absolute error = 5.881590020462291e-06 relative error = 0.0005916703411231794 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1100000000000893 y2[1] (analytic) = 0.1097783008372636 y2[1] (numeric) = 0.1100001341705007 absolute error = 0.0002218333332370953 relative error = 0.2020739358736688 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.993956097956687 y1[1] (numeric) = 0.9939499975400415 absolute error = 6.100416645504758e-06 relative error = 0.0006137511161756152 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1110000000000903 y2[1] (analytic) = 0.1107722018804161 y2[1] (numeric) = 0.1110001403803183 absolute error = 0.0002279384999021583 relative error = 0.2057722930778507 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9938458226961385 y1[1] (numeric) = 0.993839497402785 absolute error = 6.325293353537376e-06 relative error = 0.0006364461377296839 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1120000000000913 y2[1] (analytic) = 0.1117659921513759 y2[1] (numeric) = 0.1120001468179432 absolute error = 0.0002341546665672323 relative error = 0.2095043958005517 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9937345535898501 y1[1] (numeric) = 0.993727997259205 absolute error = 6.556330645057784e-06 relative error = 0.0006597667980219813 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1130000000000923 y2[1] (analytic) = 0.112759670656353 y2[1] (numeric) = 0.1130001534895851 absolute error = 0.0002404828332321085 relative error = 0.2132702515290288 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9936222907490908 y1[1] (numeric) = 0.9936154971090707 absolute error = 6.793640020097413e-06 relative error = 0.0006837245987079955 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1140000000000933 y2[1] (analytic) = 0.1137532364016687 y2[1] (numeric) = 0.1140001604015658 absolute error = 0.0002469239998971334 relative error = 0.2170698678191728 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9935090342861237 y1[1] (numeric) = 0.9935019969521456 absolute error = 7.03733397811046e-06 relative error = 0.0007083311510264292 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1150000000000943 y2[1] (analytic) = 0.1147466883937575 y2[1] (numeric) = 0.1150001675603199 absolute error = 0.0002534791665623343 relative error = 0.2209032522947512 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.993394784314205 y1[1] (numeric) = 0.9933874967881859 absolute error = 7.287526019084112e-06 relative error = 0.0007335981760881794 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1160000000000953 y2[1] (analytic) = 0.1157400256391675 y2[1] (numeric) = 0.1160001749723948 absolute error = 0.0002601493332272387 relative error = 0.2247704126472922 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9932795409475849 y1[1] (numeric) = 0.9932719966169411 absolute error = 7.544330643760588e-06 relative error = 0.0007595375050777071 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1170000000000963 y2[1] (analytic) = 0.1167332471445615 y2[1] (numeric) = 0.1170001826444538 absolute error = 0.0002669354998922902 relative error = 0.228671356637342 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9931633043015065 y1[1] (numeric) = 0.993155496438155 absolute error = 7.8078633514167e-06 relative error = 0.0007861610792102296 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1180000000000973 y2[1] (analytic) = 0.1177263519167181 y2[1] (numeric) = 0.1180001905832752 absolute error = 0.0002738386665570858 relative error = 0.2326060920929619 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9930460744922065 y1[1] (numeric) = 0.9930379962515634 absolute error = 8.07824064308349e-06 relative error = 0.0008134809502383153 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1190000000000983 y2[1] (analytic) = 0.1187193389625326 y2[1] (numeric) = 0.1190001987957544 absolute error = 0.000280859833221847 relative error = 0.2365746269110254 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9929278516369149 y1[1] (numeric) = 0.9929194960568976 absolute error = 8.355580017327391e-06 relative error = 0.0008415092802113065 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1200000000000993 y2[1] (analytic) = 0.119712207289018 y2[1] (numeric) = 0.1200002072889045 absolute error = 0.0002879999998864763 relative error = 0.2405769690564351 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9928086358538544 y1[1] (numeric) = 0.992799995853879 absolute error = 8.639999975357249e-06 relative error = 0.0008702583421755302 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1210000000001003 y2[1] (analytic) = 0.1207049559033061 y2[1] (numeric) = 0.1210002160698569 absolute error = 0.0002952601665508481 relative error = 0.244613126562404 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9926884272622407 y1[1] (numeric) = 0.992679495642224 absolute error = 8.931620016694453e-06 relative error = 0.0008997405199259935 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1220000000001013 y2[1] (analytic) = 0.1216975838126483 y2[1] (numeric) = 0.1220002251458636 absolute error = 0.0003026413332153088 relative error = 0.2486831075308946 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9925672259822825 y1[1] (numeric) = 0.9925579954216408 absolute error = 9.230560641726449e-06 relative error = 0.0009299683084530151 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1230000000001023 y2[1] (analytic) = 0.1226900900244169 y2[1] (numeric) = 0.1230002345242966 absolute error = 0.0003101444998797054 relative error = 0.25278692013184 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.992445032135181 y1[1] (numeric) = 0.9924354951918312 absolute error = 9.53694334981936e-06 relative error = 0.0009609543139433371 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1240000000001033 y2[1] (analytic) = 0.1236824735461057 y2[1] (numeric) = 0.1240002442126497 absolute error = 0.0003177706665439956 relative error = 0.2569245726036832 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9923218458431301 y1[1] (numeric) = 0.9923119949524898 absolute error = 9.850890640317189e-06 relative error = 0.0009927112540737569 % Correct digits = 5 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1250000000001043 y2[1] (analytic) = 0.1246747333853312 y2[1] (numeric) = 0.1250002542185394 absolute error = 0.0003255208332082066 relative error = 0.2610960732533688 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.992197667229316 y1[1] (numeric) = 0.9921874947033009 absolute error = 1.017252601509533e-05 relative error = 0.001025251958463259 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1260000000001053 y2[1] (analytic) = 0.1256668685498337 y2[1] (numeric) = 0.1260002645497058 absolute error = 0.0003333959998720326 relative error = 0.2653014304560497 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9920724964179174 y1[1] (numeric) = 0.9920619944439439 absolute error = 1.050197397345354e-05 relative error = 0.001058589368354942 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1270000000001063 y2[1] (analytic) = 0.1266588780474782 y2[1] (numeric) = 0.1270002752140141 absolute error = 0.0003413971665359172 relative error = 0.2695406526559821 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9919463335341051 y1[1] (numeric) = 0.9919354941740902 absolute error = 1.08393600148915e-05 relative error = 0.001092736537094002 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1280000000001073 y2[1] (analytic) = 0.1276507608862552 y2[1] (numeric) = 0.1280002862194549 absolute error = 0.0003495253331997072 relative error = 0.2738137483654768 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9918191787040419 y1[1] (numeric) = 0.9918079938934021 absolute error = 1.118481063977494e-05 relative error = 0.001127706630395023 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1290000000001083 y2[1] (analytic) = 0.1286425160742819 y2[1] (numeric) = 0.1290002975741456 absolute error = 0.0003577814998637352 relative error = 0.2781207261657894 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9916910320548825 y1[1] (numeric) = 0.9916794936015351 absolute error = 1.15384533474483e-05 relative error = 0.001163512926353632 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1300000000001093 y2[1] (analytic) = 0.1296341426198033 y2[1] (numeric) = 0.1300003092863304 absolute error = 0.0003661666665271124 relative error = 0.2824615947058192 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9915618937147739 y1[1] (numeric) = 0.9915499932981346 absolute error = 1.190041663923225e-05 relative error = 0.001200168815952446 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1310000000001103 y2[1] (analytic) = 0.1306256395311928 y2[1] (numeric) = 0.1310003213643837 absolute error = 0.0003746818331908652 relative error = 0.2868363627045767 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.991431763812854 y1[1] (numeric) = 0.9914194929828407 absolute error = 1.227083001331675e-05 relative error = 0.0012376878027516 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1320000000001113 y2[1] (analytic) = 0.1316170058169537 y2[1] (numeric) = 0.132000333816808 absolute error = 0.0003833279998542438 relative error = 0.2912450389483537 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9913006424792531 y1[1] (numeric) = 0.9912879926552819 absolute error = 1.264982397120029e-05 relative error = 0.001276083503745438 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1330000000001123 y2[1] (analytic) = 0.1326082404857198 y2[1] (numeric) = 0.1330003466522374 absolute error = 0.0003921061665176362 relative error = 0.2956876322930029 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9911685298450923 y1[1] (numeric) = 0.9911554923150798 absolute error = 1.303753001247188e-05 relative error = 0.001315369649045404 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1340000000001133 y2[1] (analytic) = 0.1335993425462564 y2[1] (numeric) = 0.1340003598794372 absolute error = 0.0004010173331808198 relative error = 0.3001641516626286 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9910354260424842 y1[1] (numeric) = 0.9910219919618471 absolute error = 1.343408063703144e-05 relative error = 0.001355560082314912 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1350000000001143 y2[1] (analytic) = 0.1345903110074616 y2[1] (numeric) = 0.1350003735073052 absolute error = 0.0004100624998435998 relative error = 0.3046746060501087 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9909013312045326 y1[1] (numeric) = 0.9908874915951874 absolute error = 1.38396093452009e-05 relative error = 0.001396668760993344 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1360000000001153 y2[1] (analytic) = 0.135581144878367 y2[1] (numeric) = 0.1360003875448733 absolute error = 0.0004192426665062809 relative error = 0.3092190045174742 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9907662454653324 y1[1] (numeric) = 0.9907519912146958 absolute error = 1.42542506366139e-05 relative error = 0.001438709756398606 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1370000000001163 y2[1] (analytic) = 0.1365718431681389 y2[1] (numeric) = 0.1370004020013077 absolute error = 0.0004285588331688628 relative error = 0.3137973561953378 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9906301689599692 y1[1] (numeric) = 0.9906154908199577 absolute error = 1.46781400115481e-05 relative error = 0.001481697254077999 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1380000000001173 y2[1] (analytic) = 0.1375624048860789 y2[1] (numeric) = 0.1380004168859103 absolute error = 0.0004380119998314003 relative error = 0.3184096702831969 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9904931018245198 y1[1] (numeric) = 0.990477990410552 absolute error = 1.511141396781657e-05 relative error = 0.001525645553712677 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1390000000001183 y2[1] (analytic) = 0.1385528290416255 y2[1] (numeric) = 0.1390004322081194 absolute error = 0.0004476031664938651 relative error = 0.3230559560493647 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.990355044196051 y1[1] (numeric) = 0.9903394899860417 absolute error = 1.555421000931645e-05 relative error = 0.001570569070200781 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1400000000001193 y2[1] (analytic) = 0.1395431146443546 y2[1] (numeric) = 0.1400004479775105 absolute error = 0.0004573333331558127 relative error = 0.3277362228307655 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9902159962126206 y1[1] (numeric) = 0.9901999895459864 absolute error = 1.600666663414962e-05 relative error = 0.001616482332680137 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1410000000001203 y2[1] (analytic) = 0.1405332607039808 y2[1] (numeric) = 0.1410004642037985 absolute error = 0.0004672034998177421 relative error = 0.3324504800339469 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9900759580132764 y1[1] (numeric) = 0.9900594890899342 absolute error = 1.64689233421722e-05 relative error = 0.001663399985514178 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1420000000001213 y2[1] (analytic) = 0.1415232662303579 y2[1] (numeric) = 0.142000480896838 absolute error = 0.0004772146664801524 relative error = 0.3371987371344218 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9899349297380567 y1[1] (numeric) = 0.9899179886174232 absolute error = 1.694112063355124e-05 relative error = 0.001711336788371936 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1430000000001223 y2[1] (analytic) = 0.1425131302334806 y2[1] (numeric) = 0.1430004980666224 absolute error = 0.0004873678331418774 relative error = 0.3419810036755337 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9897929115279898 y1[1] (numeric) = 0.9897754881279813 absolute error = 1.742340000843168e-05 relative error = 0.00176030761642194 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1440000000001233 y2[1] (analytic) = 0.1435028517234849 y2[1] (numeric) = 0.1440005157232881 absolute error = 0.0004976639998031662 relative error = 0.3467972892706781 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9896499035250939 y1[1] (numeric) = 0.9896319876211275 absolute error = 1.791590396638121e-05 relative error = 0.001810327460505525 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1450000000001243 y2[1] (analytic) = 0.1444924297106494 y2[1] (numeric) = 0.1450005338771136 absolute error = 0.0005081041664642127 relative error = 0.3516476036022836 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9895059058723769 y1[1] (numeric) = 0.9894874870963684 absolute error = 1.841877600849973e-05 relative error = 0.001861411427581244 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1460000000001253 y2[1] (analytic) = 0.1454818632053963 y2[1] (numeric) = 0.1460005525385211 absolute error = 0.0005186893331247666 relative error = 0.3565319564215803 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9893609187138364 y1[1] (numeric) = 0.9893419865532033 absolute error = 1.893216063308945e-05 relative error = 0.001913574740520492 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1470000000001263 y2[1] (analytic) = 0.1464711512182921 y2[1] (numeric) = 0.1470005717180773 absolute error = 0.0005294204997851881 relative error = 0.3614503575493651 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9892149421944597 y1[1] (numeric) = 0.9891954859911187 absolute error = 1.945620334098397e-05 relative error = 0.001966832738881058 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1480000000001273 y2[1] (analytic) = 0.1474602927600489 y2[1] (numeric) = 0.1480005914264943 absolute error = 0.000540298666445338 relative error = 0.3664028168752692 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9890679764602233 y1[1] (numeric) = 0.9890479854095907 absolute error = 1.999105063255069e-05 relative error = 0.002021200878841178 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1490000000001283 y2[1] (analytic) = 0.1484492868415253 y2[1] (numeric) = 0.1490006116746309 absolute error = 0.0005513248331056042 relative error = 0.3713893443584964 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9889200216580927 y1[1] (numeric) = 0.9888994848080855 absolute error = 2.053685000713568e-05 relative error = 0.002076694733382195 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1500000000001293 y2[1] (analytic) = 0.1494381324737271 y2[1] (numeric) = 0.1500006324734919 absolute error = 0.0005624999997647651 relative error = 0.3764099500264156 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9887710779360229 y1[1] (numeric) = 0.9887499841860583 absolute error = 2.109374996461799e-05 relative error = 0.00213332999268642 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1510000000001303 y2[1] (analytic) = 0.1504268286678089 y2[1] (numeric) = 0.1510006538342331 absolute error = 0.0005738251664241245 relative error = 0.3814646439773825 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9886211454429576 y1[1] (numeric) = 0.9885994835429517 absolute error = 2.16619000059648e-05 relative error = 0.002191122464435965 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1520000000001313 y2[1] (analytic) = 0.1514153744350746 y2[1] (numeric) = 0.1520006757681572 absolute error = 0.0005853013330825163 relative error = 0.3865534363774186 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9884702243288294 y1[1] (numeric) = 0.9884479828781988 absolute error = 2.224145063056682e-05 relative error = 0.002250088073787832 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1530000000001323 y2[1] (analytic) = 0.1524037687869785 y2[1] (numeric) = 0.1530006982867195 absolute error = 0.0005969294997410224 relative error = 0.3916763374633978 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.988318314744559 y1[1] (numeric) = 0.9882954821912203 absolute error = 2.283255333868084e-05 relative error = 0.002310242863867412 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1540000000001333 y2[1] (analytic) = 0.1533920107351263 y2[1] (numeric) = 0.154000721401525 absolute error = 0.0006087106663987263 relative error = 0.3968333575402655 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9881654168420563 y1[1] (numeric) = 0.9881419814814264 absolute error = 2.343536062987539e-05 relative error = 0.002371602995859669 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1550000000001343 y2[1] (analytic) = 0.1543800992912761 y2[1] (numeric) = 0.1550007451243326 absolute error = 0.0006206458330564324 relative error = 0.402024506983527 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9880115307742191 y1[1] (numeric) = 0.9879874807482145 absolute error = 2.405002600458506e-05 relative error = 0.002434184749416754 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1560000000001353 y2[1] (analytic) = 0.1553680334673396 y2[1] (numeric) = 0.1560007694670532 absolute error = 0.0006327359997136683 relative error = 0.4072497962373179 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9878566566949335 y1[1] (numeric) = 0.9878319799909703 absolute error = 2.46767039632223e-05 relative error = 0.002498004522820448 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1570000000001363 y2[1] (analytic) = 0.1563558122753824 y2[1] (numeric) = 0.1570007944417526 absolute error = 0.0006449821663701283 relative error = 0.4125092358153915 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9877007947590735 y1[1] (numeric) = 0.9876754792090691 absolute error = 2.531555000440111e-05 relative error = 0.002563078833056548 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1580000000001373 y2[1] (analytic) = 0.1573434347276261 y2[1] (numeric) = 0.1580008200606527 absolute error = 0.0006573853330266166 relative error = 0.4178028363017513 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.987543945122501 y1[1] (numeric) = 0.9875179784018704 absolute error = 2.596672063059913e-05 relative error = 0.002629424316644264 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1590000000001383 y2[1] (analytic) = 0.1583308998364481 y2[1] (numeric) = 0.1590008463361303 absolute error = 0.0006699464996821891 relative error = 0.4231306083488612 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9873861079420657 y1[1] (numeric) = 0.9873594775687274 absolute error = 2.663037333827667e-05 relative error = 0.002697057728893953 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1600000000001393 y2[1] (analytic) = 0.1593182066143835 y2[1] (numeric) = 0.1600008732807212 absolute error = 0.0006826666663377334 relative error = 0.428492562679965 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9872272833756047 y1[1] (numeric) = 0.9871999767089755 absolute error = 2.7306666629201e-05 relative error = 0.00276599594531382 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1610000000001403 y2[1] (analytic) = 0.1603053540741256 y2[1] (numeric) = 0.1610009009071181 absolute error = 0.0006955468329925274 relative error = 0.4338887100869412 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9870674715819426 y1[1] (numeric) = 0.9870394758219391 absolute error = 2.799576000356296e-05 relative error = 0.002836255961175078 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1620000000001413 y2[1] (analytic) = 0.1612923412285269 y2[1] (numeric) = 0.1620009292281736 absolute error = 0.000708587999646737 relative error = 0.4393190614319218 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9869066727208913 y1[1] (numeric) = 0.9868779749069293 absolute error = 2.869781396197535e-05 relative error = 0.002907854891978365 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1630000000001423 y2[1] (analytic) = 0.1622791670906004 y2[1] (numeric) = 0.1630009582569009 absolute error = 0.000721791166300445 relative error = 0.4447836276467139 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9867448869532495 y1[1] (numeric) = 0.9867154739632464 absolute error = 2.941299000303044e-05 relative error = 0.002980809973472301 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1640000000001433 y2[1] (analytic) = 0.1632658306735204 y2[1] (numeric) = 0.1640009880064736 absolute error = 0.0007351573329531791 relative error = 0.4502824197325521 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9865821144408028 y1[1] (numeric) = 0.9865519729901754 absolute error = 3.014145062740781e-05 relative error = 0.003055138562337718 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1650000000001443 y2[1] (analytic) = 0.1642523309906233 y2[1] (numeric) = 0.1650010184902289 absolute error = 0.0007486874996055493 relative error = 0.4558154487611439 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.986418355346324 y1[1] (numeric) = 0.9863874719869884 absolute error = 3.088335933565389e-05 relative error = 0.003130858136232773 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1660000000001453 y2[1] (analytic) = 0.165238667055409 y2[1] (numeric) = 0.1660010497216662 absolute error = 0.0007623826662572497 relative error = 0.4613827258734799 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.986253609833572 y1[1] (numeric) = 0.9862219709529454 absolute error = 3.163888062662767e-05 relative error = 0.003207986293907371 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1670000000001463 y2[1] (analytic) = 0.1662248378815413 y2[1] (numeric) = 0.1670010817144497 absolute error = 0.0007762438329084187 relative error = 0.4669842622807082 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9860878780672924 y1[1] (numeric) = 0.9860554698872912 absolute error = 3.240818000116441e-05 relative error = 0.00328654075584862 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1680000000001473 y2[1] (analytic) = 0.1672108424828496 y2[1] (numeric) = 0.1680011144824081 absolute error = 0.0007902719995585561 relative error = 0.4726200692635183 % Correct digits = 2 h = 1e-06 y1[1] (analytic) = 0.9859211602132169 y1[1] (numeric) = 0.9858879687892581 absolute error = 3.319142395874497e-05 relative error = 0.003366539364219239 % Correct digits = 4 h = 1e-06 NO POLE for equation 1 NO POLE for equation 2 Finished! Maximum Time Reached before Solution Completed! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 ; Iterations = 168591 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 1 Hours 25 Minutes 58 Seconds Optimized Time Remaining = 1 Hours 25 Minutes 58 Seconds Expected Total Time = 1 Hours 28 Minutes 58 Seconds Time to Timeout = 0 Seconds Percent Done = 3.372 %