##############ECHO OF PROBLEM################# ##############temp/ln_sqrtpostode.ode################# diff ( y , x , 1 ) = ln(sqrt(0.1 * x + 0.2)); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 0.5 ; 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(5.0 * ln(0.1 * x + 0.2) * ( 0.1 * x + 0.2) - 0.5 * x - 1.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -2.688680135677902 y[1] (numeric) = -2.688680135677902 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) = -2.688687938904738 y[1] (numeric) = -2.688687938904739 absolute error = 4.440892098500626e-16 relative error = 1.65169487847283e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -2.688695742107766 y[1] (numeric) = -2.688695742107766 absolute error = 4.440892098500626e-16 relative error = 1.651690084880802e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -2.688703545286983 y[1] (numeric) = -2.688703545286984 absolute error = 4.440892098500626e-16 relative error = 1.651685291331224e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -2.688711348442392 y[1] (numeric) = -2.688711348442392 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = -2.688719151573992 y[1] (numeric) = -2.688719151573992 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -2.688726954681782 y[1] (numeric) = -2.688726954681782 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -2.688734757765764 y[1] (numeric) = -2.688734757765764 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = -2.688742560825937 y[1] (numeric) = -2.688742560825937 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -2.688750363862302 y[1] (numeric) = -2.688750363862302 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -2.688758166874858 y[1] (numeric) = -2.688758166874858 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -2.688765969863605 y[1] (numeric) = -2.688765969863605 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = -2.688773772828545 y[1] (numeric) = -2.688773772828545 absolute error = 4.440892098500626e-16 relative error = 1.651642151295192e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -2.688781575769676 y[1] (numeric) = -2.688781575769676 absolute error = 4.440892098500626e-16 relative error = 1.651637358170086e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -2.688789378686999 y[1] (numeric) = -2.688789378686999 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -2.688797181580514 y[1] (numeric) = -2.688797181580514 absolute error = 4.440892098500626e-16 relative error = 1.651627772047204e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -2.688804984450222 y[1] (numeric) = -2.688804984450222 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -2.688812787296121 y[1] (numeric) = -2.688812787296121 absolute error = 4.440892098500626e-16 relative error = 1.651618186094095e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -2.688820590118213 y[1] (numeric) = -2.688820590118213 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -2.688828392916498 y[1] (numeric) = -2.688828392916498 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -2.688836195690975 y[1] (numeric) = -2.688836195690975 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = -2.688843998441644 y[1] (numeric) = -2.688843998441645 absolute error = 4.440892098500626e-16 relative error = 1.651599014697173e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -2.688851801168507 y[1] (numeric) = -2.688851801168508 absolute error = 4.440892098500626e-16 relative error = 1.651594221954042e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -2.688859603871563 y[1] (numeric) = -2.688859603871563 absolute error = 4.440892098500626e-16 relative error = 1.651589429253351e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -2.688867406550812 y[1] (numeric) = -2.688867406550812 absolute error = 4.440892098500626e-16 relative error = 1.651584636595098e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = -2.688875209206254 y[1] (numeric) = -2.688875209206254 absolute error = 4.440892098500626e-16 relative error = 1.651579843979283e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -2.688883011837889 y[1] (numeric) = -2.68888301183789 absolute error = 4.440892098500626e-16 relative error = 1.651575051405905e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -2.688890814445718 y[1] (numeric) = -2.688890814445719 absolute error = 4.440892098500626e-16 relative error = 1.651570258874963e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = -2.68889861702974 y[1] (numeric) = -2.688898617029741 absolute error = 8.881784197001252e-16 relative error = 3.303130932772917e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = -2.688906419589956 y[1] (numeric) = -2.688906419589957 absolute error = 8.881784197001252e-16 relative error = 3.303121347880777e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -2.688914222126366 y[1] (numeric) = -2.688914222126367 absolute error = 8.881784197001252e-16 relative error = 3.303111763073508e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = -2.688922024638969 y[1] (numeric) = -2.688922024638971 absolute error = 1.332267629550188e-15 relative error = 4.954653267526663e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -2.688929827127767 y[1] (numeric) = -2.688929827127768 absolute error = 1.332267629550188e-15 relative error = 4.954638890570363e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -2.688937629592759 y[1] (numeric) = -2.68893762959276 absolute error = 1.332267629550188e-15 relative error = 4.954624513741364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = -2.688945432033945 y[1] (numeric) = -2.688945432033946 absolute error = 1.77635683940025e-15 relative error = 6.606146849386218e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -2.688953234451325 y[1] (numeric) = -2.688953234451327 absolute error = 1.77635683940025e-15 relative error = 6.606127680620345e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -2.6889610368449 y[1] (numeric) = -2.688961036844901 absolute error = 1.77635683940025e-15 relative error = 6.606108512024199e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -2.688968839214668 y[1] (numeric) = -2.688968839214671 absolute error = 2.220446049250313e-15 relative error = 8.257611679497221e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -2.688976641560632 y[1] (numeric) = -2.688976641560635 absolute error = 2.220446049250313e-15 relative error = 8.257587719176344e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -2.688984443882791 y[1] (numeric) = -2.688984443882793 absolute error = 1.77635683940025e-15 relative error = 6.606051007254094e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -2.688992246181145 y[1] (numeric) = -2.688992246181147 absolute error = 2.220446049250313e-15 relative error = 8.257539799171039e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -2.689000048455693 y[1] (numeric) = -2.689000048455696 absolute error = 2.220446049250313e-15 relative error = 8.257515839486603e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -2.689007850706437 y[1] (numeric) = -2.689007850706439 absolute error = 2.220446049250313e-15 relative error = 8.257491880014309e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -2.689015652933376 y[1] (numeric) = -2.689015652933378 absolute error = 1.77635683940025e-15 relative error = 6.60597433660332e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -2.68902345513651 y[1] (numeric) = -2.689023455136512 absolute error = 1.77635683940025e-15 relative error = 6.605955169364904e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -2.68903125731584 y[1] (numeric) = -2.689031257315842 absolute error = 1.77635683940025e-15 relative error = 6.605936002296192e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -2.689039059471366 y[1] (numeric) = -2.689039059471367 absolute error = 1.332267629550188e-15 relative error = 4.954437626547888e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -2.689046861603086 y[1] (numeric) = -2.689046861603088 absolute error = 1.77635683940025e-15 relative error = 6.605897668667879e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -2.689054663711003 y[1] (numeric) = -2.689054663711005 absolute error = 1.77635683940025e-15 relative error = 6.605878502108273e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -2.689062465795116 y[1] (numeric) = -2.689062465795117 absolute error = 1.332267629550188e-15 relative error = 4.954394501788771e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -2.689070267855425 y[1] (numeric) = -2.689070267855426 absolute error = 1.332267629550188e-15 relative error = 4.954380127123609e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -2.68907806989193 y[1] (numeric) = -2.689078069891931 absolute error = 1.332267629550188e-15 relative error = 4.954365752585717e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -2.689085871904631 y[1] (numeric) = -2.689085871904632 absolute error = 1.332267629550188e-15 relative error = 4.954351378175092e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -2.689093673893529 y[1] (numeric) = -2.68909367389353 absolute error = 1.332267629550188e-15 relative error = 4.954337003891733e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -2.689101475858623 y[1] (numeric) = -2.689101475858624 absolute error = 1.332267629550188e-15 relative error = 4.954322629735639e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -2.689109277799913 y[1] (numeric) = -2.689109277799915 absolute error = 1.77635683940025e-15 relative error = 6.60574434094241e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -2.6891170797174 y[1] (numeric) = -2.689117079717402 absolute error = 1.77635683940025e-15 relative error = 6.605725175740315e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -2.689124881611085 y[1] (numeric) = -2.689124881611086 absolute error = 1.332267629550188e-15 relative error = 4.954279508030923e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -2.689132683480966 y[1] (numeric) = -2.689132683480967 absolute error = 1.332267629550188e-15 relative error = 4.954265134383867e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -2.689140485327044 y[1] (numeric) = -2.689140485327045 absolute error = 1.332267629550188e-15 relative error = 4.954250760864069e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -2.689148287149319 y[1] (numeric) = -2.689148287149321 absolute error = 1.332267629550188e-15 relative error = 4.954236387471523e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -2.689156088947792 y[1] (numeric) = -2.689156088947793 absolute error = 1.332267629550188e-15 relative error = 4.954222014206231e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -2.689163890722462 y[1] (numeric) = -2.689163890722463 absolute error = 1.332267629550188e-15 relative error = 4.954207641068188e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -2.689171692473329 y[1] (numeric) = -2.689171692473331 absolute error = 1.332267629550188e-15 relative error = 4.954193268057395e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -2.689179494200394 y[1] (numeric) = -2.689179494200396 absolute error = 1.77635683940025e-15 relative error = 6.605571860231798e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -2.689187295903657 y[1] (numeric) = -2.689187295903659 absolute error = 1.77635683940025e-15 relative error = 6.605552696556731e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -2.689195097583118 y[1] (numeric) = -2.68919509758312 absolute error = 1.77635683940025e-15 relative error = 6.605533533051322e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -2.689202899238777 y[1] (numeric) = -2.689202899238778 absolute error = 1.77635683940025e-15 relative error = 6.605514369715568e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -2.689210700870633 y[1] (numeric) = -2.689210700870635 absolute error = 1.77635683940025e-15 relative error = 6.605495206549469e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -2.689218502478688 y[1] (numeric) = -2.68921850247869 absolute error = 1.332267629550188e-15 relative error = 4.954107032664765e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -2.689226304062942 y[1] (numeric) = -2.689226304062943 absolute error = 1.332267629550188e-15 relative error = 4.954092660544666e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -2.689234105623393 y[1] (numeric) = -2.689234105623394 absolute error = 1.332267629550188e-15 relative error = 4.954078288551803e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -2.689241907160043 y[1] (numeric) = -2.689241907160044 absolute error = 1.332267629550188e-15 relative error = 4.954063916686173e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -2.689249708672892 y[1] (numeric) = -2.689249708672893 absolute error = 1.332267629550188e-15 relative error = 4.954049544947776e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -2.689257510161939 y[1] (numeric) = -2.689257510161941 absolute error = 1.332267629550188e-15 relative error = 4.954035173336608e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -2.689265311627186 y[1] (numeric) = -2.689265311627187 absolute error = 1.332267629550188e-15 relative error = 4.954020801852669e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -2.689273113068631 y[1] (numeric) = -2.689273113068632 absolute error = 1.332267629550188e-15 relative error = 4.954006430495957e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -2.689280914486275 y[1] (numeric) = -2.689280914486277 absolute error = 1.332267629550188e-15 relative error = 4.95399205926647e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -2.689288715880119 y[1] (numeric) = -2.68928871588012 absolute error = 1.332267629550188e-15 relative error = 4.953977688164206e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -2.689296517250162 y[1] (numeric) = -2.689296517250163 absolute error = 1.332267629550188e-15 relative error = 4.953963317189164e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -2.689304318596404 y[1] (numeric) = -2.689304318596406 absolute error = 1.332267629550188e-15 relative error = 4.953948946341342e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -2.689312119918846 y[1] (numeric) = -2.689312119918847 absolute error = 1.332267629550188e-15 relative error = 4.953934575620739e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -2.689319921217488 y[1] (numeric) = -2.689319921217489 absolute error = 1.332267629550188e-15 relative error = 4.953920205027351e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -2.689327722492329 y[1] (numeric) = -2.68932772249233 absolute error = 1.332267629550188e-15 relative error = 4.95390583456118e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -2.68933552374337 y[1] (numeric) = -2.689335523743372 absolute error = 1.332267629550188e-15 relative error = 4.953891464222221e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -2.689343324970612 y[1] (numeric) = -2.689343324970613 absolute error = 8.881784197001252e-16 relative error = 3.302584729340315e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -2.689351126174053 y[1] (numeric) = -2.689351126174054 absolute error = 8.881784197001252e-16 relative error = 3.302575149283957e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -2.689358927353695 y[1] (numeric) = -2.689358927353696 absolute error = 8.881784197001252e-16 relative error = 3.302565569312404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -2.689366728509536 y[1] (numeric) = -2.689366728509537 absolute error = 8.881784197001252e-16 relative error = 3.302555989425656e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -2.689374529641579 y[1] (numeric) = -2.68937452964158 absolute error = 8.881784197001252e-16 relative error = 3.302546409623711e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -2.689382330749822 y[1] (numeric) = -2.689382330749823 absolute error = 8.881784197001252e-16 relative error = 3.302536829906568e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -2.689390131834265 y[1] (numeric) = -2.689390131834267 absolute error = 1.332267629550188e-15 relative error = 4.953790875411338e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -2.68939793289491 y[1] (numeric) = -2.689397932894911 absolute error = 1.332267629550188e-15 relative error = 4.953776506090024e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -2.689405733931755 y[1] (numeric) = -2.689405733931757 absolute error = 1.332267629550188e-15 relative error = 4.953762136895908e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -2.689413534944801 y[1] (numeric) = -2.689413534944803 absolute error = 1.332267629550188e-15 relative error = 4.953747767828988e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -2.689421335934049 y[1] (numeric) = -2.68942133593405 absolute error = 1.332267629550188e-15 relative error = 4.953733398889263e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -2.689429136899498 y[1] (numeric) = -2.689429136899499 absolute error = 1.332267629550188e-15 relative error = 4.953719030076731e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -2.689436937841148 y[1] (numeric) = -2.689436937841149 absolute error = 1.332267629550188e-15 relative error = 4.95370466139139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -2.689444738758999 y[1] (numeric) = -2.689444738759001 absolute error = 1.77635683940025e-15 relative error = 6.604920390444318e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -2.689452539653052 y[1] (numeric) = -2.689452539653054 absolute error = 1.332267629550188e-15 relative error = 4.953675924402275e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -2.689460340523307 y[1] (numeric) = -2.689460340523308 absolute error = 1.332267629550188e-15 relative error = 4.953661556098497e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = ln(sqrt(0.1 * x + 0.2)); Iterations = 100 Total Elapsed Time = 15 Seconds Elapsed Time(since restart) = 14 Seconds Expected Time Remaining = 1 Hours 38 Minutes 45 Seconds Optimized Time Remaining = 1 Hours 32 Minutes 10 Seconds Time to Timeout = 45 Seconds Percent Done = 0.2525 %