##############ECHO OF PROBLEM################# ##############temp/mult_div_sinh_cosh_tanhpostode.ode################# diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02); ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return((sinh(0.1) * cosh(0.05) / tanh(0.02)) * x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.5015267822632982 y[1] (numeric) = 0.5015267822632982 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.5015769349415246 y[1] (numeric) = 0.5015769349415244 absolute error = 1.110223024625157e-16 relative error = 2.213465068433799e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.5016270876197508 y[1] (numeric) = 0.5016270876197507 absolute error = 1.110223024625157e-16 relative error = 2.213243766187405e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.5016772402979771 y[1] (numeric) = 0.501677240297977 absolute error = 1.110223024625157e-16 relative error = 2.213022508188186e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.5017273929762035 y[1] (numeric) = 0.5017273929762033 absolute error = 2.220446049250313e-16 relative error = 4.425602588845746e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.5017775456544298 y[1] (numeric) = 0.5017775456544296 absolute error = 2.220446049250313e-16 relative error = 4.425160249756407e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.5018276983326561 y[1] (numeric) = 0.5018276983326558 absolute error = 2.220446049250313e-16 relative error = 4.424717999081836e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.5018778510108823 y[1] (numeric) = 0.5018778510108821 absolute error = 2.220446049250313e-16 relative error = 4.424275836795529e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.5019280036891087 y[1] (numeric) = 0.5019280036891084 absolute error = 3.33066907387547e-16 relative error = 6.635750644306483e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.501978156367335 y[1] (numeric) = 0.5019781563673347 absolute error = 3.33066907387547e-16 relative error = 6.635087665922598e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.5020283090455613 y[1] (numeric) = 0.5020283090455609 absolute error = 3.33066907387547e-16 relative error = 6.634424820001927e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.5020784617237877 y[1] (numeric) = 0.5020784617237872 absolute error = 4.440892098500626e-16 relative error = 8.845016142006364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.502128614402014 y[1] (numeric) = 0.5021286144020135 absolute error = 4.440892098500626e-16 relative error = 8.844132700521945e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.5021787670802402 y[1] (numeric) = 0.5021787670802398 absolute error = 4.440892098500626e-16 relative error = 8.843249435496427e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.5022289197584665 y[1] (numeric) = 0.5022289197584661 absolute error = 4.440892098500626e-16 relative error = 8.842366346876945e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.5022790724366929 y[1] (numeric) = 0.5022790724366923 absolute error = 5.551115123125783e-16 relative error = 1.105185429326332e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.5023292251149192 y[1] (numeric) = 0.5023292251149186 absolute error = 5.551115123125783e-16 relative error = 1.105075087330593e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.5023793777931455 y[1] (numeric) = 0.5023793777931449 absolute error = 5.551115123125783e-16 relative error = 1.1049647673658e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.5024295304713718 y[1] (numeric) = 0.5024295304713712 absolute error = 6.661338147750939e-16 relative error = 1.325825363310427e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.5024796831495981 y[1] (numeric) = 0.5024796831495975 absolute error = 6.661338147750939e-16 relative error = 1.3256930322032e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.5025298358278244 y[1] (numeric) = 0.5025298358278237 absolute error = 6.661338147750939e-16 relative error = 1.325560727509368e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.5025799885060507 y[1] (numeric) = 0.50257998850605 absolute error = 6.661338147750939e-16 relative error = 1.325428449221022e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.5026301411842771 y[1] (numeric) = 0.5026301411842763 absolute error = 7.771561172376096e-16 relative error = 1.546178896885303e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.5026802938625033 y[1] (numeric) = 0.5026802938625026 absolute error = 7.771561172376096e-16 relative error = 1.546024633800709e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.5027304465407296 y[1] (numeric) = 0.5027304465407288 absolute error = 7.771561172376096e-16 relative error = 1.545870401494863e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.502780599218956 y[1] (numeric) = 0.5027805992189551 absolute error = 8.881784197001252e-16 relative error = 1.766532799952634e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.5028307518971823 y[1] (numeric) = 0.5028307518971814 absolute error = 8.881784197001252e-16 relative error = 1.766356604780087e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.5028809045754086 y[1] (numeric) = 0.5028809045754077 absolute error = 8.881784197001252e-16 relative error = 1.766180444751686e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.502931057253635 y[1] (numeric) = 0.502931057253634 absolute error = 9.992007221626409e-16 relative error = 1.98675485983903e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.5029812099318612 y[1] (numeric) = 0.5029812099318602 absolute error = 9.992007221626409e-16 relative error = 1.986556758845927e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.5030313626100875 y[1] (numeric) = 0.5030313626100865 absolute error = 9.992007221626409e-16 relative error = 1.986358697354516e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.5030815152883138 y[1] (numeric) = 0.5030815152883128 absolute error = 9.992007221626409e-16 relative error = 1.986160675352986e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.5031316679665402 y[1] (numeric) = 0.5031316679665391 absolute error = 1.110223024625157e-15 relative error = 2.206625214255028e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.5031818206447665 y[1] (numeric) = 0.5031818206447654 absolute error = 1.110223024625157e-15 relative error = 2.206405277524813e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.5032319733229927 y[1] (numeric) = 0.5032319733229916 absolute error = 1.110223024625157e-15 relative error = 2.206185384632893e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.5032821260012191 y[1] (numeric) = 0.5032821260012179 absolute error = 1.221245327087672e-15 relative error = 2.42656208912278e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.5033322786794454 y[1] (numeric) = 0.5033322786794442 absolute error = 1.221245327087672e-15 relative error = 2.426320303342676e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.5033824313576717 y[1] (numeric) = 0.5033824313576705 absolute error = 1.221245327087672e-15 relative error = 2.426078565741466e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.503432584035898 y[1] (numeric) = 0.5034325840358967 absolute error = 1.221245327087672e-15 relative error = 2.425836876304752e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.5034827367141244 y[1] (numeric) = 0.503482736714123 absolute error = 1.332267629550188e-15 relative error = 2.646103892747061e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.5035328893923506 y[1] (numeric) = 0.5035328893923493 absolute error = 1.332267629550188e-15 relative error = 2.645840336582444e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.5035830420705769 y[1] (numeric) = 0.5035830420705756 absolute error = 1.332267629550188e-15 relative error = 2.645576832913828e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.5036331947488033 y[1] (numeric) = 0.5036331947488019 absolute error = 1.443289932012704e-15 relative error = 2.865756163535988e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.5036833474270296 y[1] (numeric) = 0.5036833474270281 absolute error = 1.443289932012704e-15 relative error = 2.865470814918689e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.5037335001052559 y[1] (numeric) = 0.5037335001052544 absolute error = 1.443289932012704e-15 relative error = 2.865185523121107e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.5037836527834821 y[1] (numeric) = 0.5037836527834807 absolute error = 1.443289932012704e-15 relative error = 2.864900288126271e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.5038338054617085 y[1] (numeric) = 0.503833805461707 absolute error = 1.554312234475219e-15 relative error = 3.084970118372391e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.5038839581399348 y[1] (numeric) = 0.5038839581399333 absolute error = 1.554312234475219e-15 relative error = 3.08466306451369e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.5039341108181611 y[1] (numeric) = 0.5039341108181595 absolute error = 1.554312234475219e-15 relative error = 3.084356071772397e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.5039842634963875 y[1] (numeric) = 0.5039842634963858 absolute error = 1.665334536937735e-15 relative error = 3.304338364425285e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.5040344161746138 y[1] (numeric) = 0.5040344161746121 absolute error = 1.665334536937735e-15 relative error = 3.304009574538278e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.50408456885284 y[1] (numeric) = 0.5040845688528384 absolute error = 1.665334536937735e-15 relative error = 3.303680850075584e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.5041347215310663 y[1] (numeric) = 0.5041347215310646 absolute error = 1.665334536937735e-15 relative error = 3.303352191017678e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.5041848742092927 y[1] (numeric) = 0.5041848742092909 absolute error = 1.77635683940025e-15 relative error = 3.523225170501377e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.504235026887519 y[1] (numeric) = 0.5042350268875172 absolute error = 1.77635683940025e-15 relative error = 3.522874740307374e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.5042851795657453 y[1] (numeric) = 0.5042851795657435 absolute error = 1.77635683940025e-15 relative error = 3.522524379816046e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.5043353322439716 y[1] (numeric) = 0.5043353322439698 absolute error = 1.887379141862766e-15 relative error = 3.74230996956951e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.5043854849221979 y[1] (numeric) = 0.504385484922196 absolute error = 1.887379141862766e-15 relative error = 3.741937859599383e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.5044356376004242 y[1] (numeric) = 0.5044356376004223 absolute error = 1.887379141862766e-15 relative error = 3.741565823622091e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.5044857902786505 y[1] (numeric) = 0.5044857902786486 absolute error = 1.887379141862766e-15 relative error = 3.741193861615568e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.5045359429568769 y[1] (numeric) = 0.5045359429568749 absolute error = 1.998401444325282e-15 relative error = 3.960870324943503e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.5045860956351031 y[1] (numeric) = 0.5045860956351012 absolute error = 1.998401444325282e-15 relative error = 3.960476639392868e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.5046362483133294 y[1] (numeric) = 0.5046362483133274 absolute error = 1.998401444325282e-15 relative error = 3.960083032094181e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.5046864009915558 y[1] (numeric) = 0.5046864009915537 absolute error = 2.109423746787797e-15 relative error = 4.179672253192119e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.5047365536697821 y[1] (numeric) = 0.50473655366978 absolute error = 2.109423746787797e-15 relative error = 4.179256943945976e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.5047867063480084 y[1] (numeric) = 0.5047867063480063 absolute error = 2.109423746787797e-15 relative error = 4.178841717225266e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.5048368590262347 y[1] (numeric) = 0.5048368590262325 absolute error = 2.109423746787797e-15 relative error = 4.178426573005395e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.504887011704461 y[1] (numeric) = 0.5048870117044588 absolute error = 2.220446049250313e-15 relative error = 4.397906853959765e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.5049371643826873 y[1] (numeric) = 0.5049371643826851 absolute error = 2.220446049250313e-15 relative error = 4.397470033652459e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.5049873170609136 y[1] (numeric) = 0.5049873170609114 absolute error = 2.220446049250313e-15 relative error = 4.397033300110533e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.50503746973914 y[1] (numeric) = 0.5050374697391377 absolute error = 2.331468351712829e-15 relative error = 4.616426485973546e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.5050876224173663 y[1] (numeric) = 0.5050876224173639 absolute error = 2.331468351712829e-15 relative error = 4.61596809788041e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.5051377750955925 y[1] (numeric) = 0.5051377750955902 absolute error = 2.331468351712829e-15 relative error = 4.615509800809532e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.5051879277738188 y[1] (numeric) = 0.5051879277738165 absolute error = 2.331468351712829e-15 relative error = 4.615051594733805e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.5052380804520452 y[1] (numeric) = 0.5052380804520428 absolute error = 2.442490654175344e-15 relative error = 4.834336026274991e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.5052882331302715 y[1] (numeric) = 0.505288233130269 absolute error = 2.442490654175344e-15 relative error = 4.833856191433674e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.5053383858084978 y[1] (numeric) = 0.5053383858084953 absolute error = 2.442490654175344e-15 relative error = 4.833376451835477e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.5053885384867242 y[1] (numeric) = 0.5053885384867216 absolute error = 2.55351295663786e-15 relative error = 5.052573935063502e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.5054386911649504 y[1] (numeric) = 0.5054386911649479 absolute error = 2.55351295663786e-15 relative error = 5.052072588175721e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.5054888438431767 y[1] (numeric) = 0.5054888438431742 absolute error = 2.55351295663786e-15 relative error = 5.051571340771398e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.505538996521403 y[1] (numeric) = 0.5055389965214004 absolute error = 2.55351295663786e-15 relative error = 5.051070192820926e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.5055891491996294 y[1] (numeric) = 0.5055891491996267 absolute error = 2.664535259100376e-15 relative error = 5.270159107090127e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.5056393018778557 y[1] (numeric) = 0.505639301877853 absolute error = 2.664535259100376e-15 relative error = 5.269636377561553e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.5056894545560819 y[1] (numeric) = 0.5056894545560793 absolute error = 2.664535259100376e-15 relative error = 5.269113751718296e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.5057396072343083 y[1] (numeric) = 0.5057396072343056 absolute error = 2.775557561562891e-15 relative error = 5.488115864093239e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.5057897599125346 y[1] (numeric) = 0.5057897599125318 absolute error = 2.775557561562891e-15 relative error = 5.487571678087876e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.5058399125907609 y[1] (numeric) = 0.5058399125907581 absolute error = 2.775557561562891e-15 relative error = 5.487027599991695e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.5058900652689872 y[1] (numeric) = 0.5058900652689844 absolute error = 2.775557561562891e-15 relative error = 5.486483629772602e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.5059402179472136 y[1] (numeric) = 0.5059402179472107 absolute error = 2.886579864025407e-15 relative error = 5.705377358094457e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.5059903706254398 y[1] (numeric) = 0.5059903706254369 absolute error = 2.886579864025407e-15 relative error = 5.704811853350866e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.5060405233036661 y[1] (numeric) = 0.5060405233036632 absolute error = 2.886579864025407e-15 relative error = 5.704246460699395e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.5060906759818925 y[1] (numeric) = 0.5060906759818895 absolute error = 2.997602166487923e-15 relative error = 5.923053533187745e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.5061408286601188 y[1] (numeric) = 0.5061408286601158 absolute error = 2.997602166487923e-15 relative error = 5.922466627367969e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.5061909813383451 y[1] (numeric) = 0.5061909813383421 absolute error = 2.997602166487923e-15 relative error = 5.92187983784777e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.5062411340165713 y[1] (numeric) = 0.5062411340165683 absolute error = 2.997602166487923e-15 relative error = 5.921293164592585e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.5062912866947977 y[1] (numeric) = 0.5062912866947946 absolute error = 3.108624468950438e-15 relative error = 6.139992037477781e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.506341439373024 y[1] (numeric) = 0.5063414393730209 absolute error = 3.108624468950438e-15 relative error = 6.139383876618285e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.5063915920512503 y[1] (numeric) = 0.5063915920512472 absolute error = 3.108624468950438e-15 relative error = 6.138775836222463e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.5064417447294767 y[1] (numeric) = 0.5064417447294735 absolute error = 3.219646771412954e-15 relative error = 6.357388198977901e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.506491897407703 y[1] (numeric) = 0.5064918974076997 absolute error = 3.219646771412954e-15 relative error = 6.356758692274369e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.5065420500859292 y[1] (numeric) = 0.506542050085926 absolute error = 3.219646771412954e-15 relative error = 6.35612931022563e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02); Iterations = 100 Total Elapsed Time Unknown Elapsed Time(since restart) Unknown Expected Time Remaining Unknown Optimized Time Remaining Unknown Time to Timeout = 17 Minutes 28 Seconds Percent Done = 0.02061 %