##############ECHO OF PROBLEM################# ##############temp/expt_lin_cpostode.ode################# diff ( y , x , 1 ) = expt((0.2 * x + 0.3) , 2.0); ! // 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(5.0/3.0 * expt((0.2 * x + 0.3),3.0)) ; } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.05461333333333335 y[1] (numeric) = 0.05461333333333335 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) = 0.05461435733973335 y[1] (numeric) = 0.05461435733973336 absolute error = 6.938893903907228e-18 relative error = 1.270525598377591e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.05461538135893345 y[1] (numeric) = 0.05461538135893346 absolute error = 6.938893903907228e-18 relative error = 1.270501776469282e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.0546164053909337 y[1] (numeric) = 0.05461640539093371 absolute error = 6.938893903907228e-18 relative error = 1.270477955156507e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.05461742943573419 y[1] (numeric) = 0.0546174294357342 absolute error = 6.938893903907228e-18 relative error = 1.270454134439246e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.05461845349333499 y[1] (numeric) = 0.05461845349333502 absolute error = 2.775557561562891e-17 relative error = 5.081721257269924e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.0546194775637362 y[1] (numeric) = 0.05461947756373623 absolute error = 3.469446951953614e-17 relative error = 6.352032473955963e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.05462050164693789 y[1] (numeric) = 0.05462050164693792 absolute error = 2.775557561562891e-17 relative error = 5.081530703441449e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.05462152574294014 y[1] (numeric) = 0.05462152574294017 absolute error = 2.775557561562891e-17 relative error = 5.081435430099888e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.05462254985174304 y[1] (numeric) = 0.05462254985174306 absolute error = 2.081668171172169e-17 relative error = 3.811005119355008e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.05462357397334665 y[1] (numeric) = 0.05462357397334668 absolute error = 2.081668171172169e-17 relative error = 3.810933667921308e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.05462459810775106 y[1] (numeric) = 0.05462459810775109 absolute error = 2.775557561562891e-17 relative error = 5.081149624365014e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.05462562225495636 y[1] (numeric) = 0.05462562225495638 absolute error = 2.081668171172169e-17 relative error = 3.810790770412308e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.05462664641496261 y[1] (numeric) = 0.05462664641496263 absolute error = 2.081668171172169e-17 relative error = 3.810719324336896e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.05462767058776991 y[1] (numeric) = 0.05462767058776993 absolute error = 2.081668171172169e-17 relative error = 3.810647880047469e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.05462869477337833 y[1] (numeric) = 0.05462869477337834 absolute error = 1.387778780781446e-17 relative error = 2.54038429169598e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.05462971897178794 y[1] (numeric) = 0.05462971897178795 absolute error = 1.387778780781446e-17 relative error = 2.540336664550896e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.05463074318299884 y[1] (numeric) = 0.05463074318299884 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.05463176740701108 y[1] (numeric) = 0.0546317674070111 absolute error = 1.387778780781446e-17 relative error = 2.540241413832325e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.05463279164382478 y[1] (numeric) = 0.05463279164382479 absolute error = 1.387778780781446e-17 relative error = 2.540193790258764e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.05463381589344 y[1] (numeric) = 0.05463381589344 absolute error = 6.938893903907228e-18 relative error = 1.270073083937817e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.05463484015585681 y[1] (numeric) = 0.05463484015585682 absolute error = 6.938893903907228e-18 relative error = 1.270049273341451e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.05463586443107531 y[1] (numeric) = 0.05463586443107531 absolute error = 6.938893903907228e-18 relative error = 1.270025463340264e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.05463688871909556 y[1] (numeric) = 0.05463688871909557 absolute error = 6.938893903907228e-18 relative error = 1.270001653934238e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.05463791301991765 y[1] (numeric) = 0.05463791301991766 absolute error = 6.938893903907228e-18 relative error = 1.269977845123354e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.05463893733354164 y[1] (numeric) = 0.05463893733354167 absolute error = 2.775557561562891e-17 relative error = 5.079816147630377e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.05463996165996765 y[1] (numeric) = 0.05463996165996769 absolute error = 3.469446951953614e-17 relative error = 6.349651146434695e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.05464098599919576 y[1] (numeric) = 0.05464098599919578 absolute error = 2.081668171172169e-17 relative error = 3.809719266784109e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.054642010351226 y[1] (numeric) = 0.05464201035122603 absolute error = 2.775557561562891e-17 relative error = 5.079530463323475e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.0546430347160585 y[1] (numeric) = 0.05464303471605853 absolute error = 2.775557561562891e-17 relative error = 5.079435239981667e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.05464405909369331 y[1] (numeric) = 0.05464405909369334 absolute error = 2.775557561562891e-17 relative error = 5.079340019019981e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.05464508348413053 y[1] (numeric) = 0.05464508348413055 absolute error = 2.081668171172169e-17 relative error = 3.809433600328757e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.05464610788737022 y[1] (numeric) = 0.05464610788737025 absolute error = 2.775557561562891e-17 relative error = 5.079149584236679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.05464713230341248 y[1] (numeric) = 0.0546471323034125 absolute error = 1.387778780781446e-17 relative error = 2.539527185207456e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.05464815673225737 y[1] (numeric) = 0.05464815673225739 absolute error = 2.081668171172169e-17 relative error = 3.80921936922973e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.05464918117390499 y[1] (numeric) = 0.05464918117390501 absolute error = 2.081668171172169e-17 relative error = 3.809147962433088e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.0546502056283554 y[1] (numeric) = 0.05465020562835542 absolute error = 2.081668171172169e-17 relative error = 3.809076557421204e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.0546512300956087 y[1] (numeric) = 0.05465123009560871 absolute error = 1.387778780781446e-17 relative error = 2.53933676946268e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.05465225457566495 y[1] (numeric) = 0.05465225457566496 absolute error = 1.387778780781446e-17 relative error = 2.539289168500988e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.05465327906852425 y[1] (numeric) = 0.05465327906852425 absolute error = 6.938893903907228e-18 relative error = 1.269620784364511e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.05465430357418666 y[1] (numeric) = 0.05465430357418666 absolute error = 6.938893903907228e-18 relative error = 1.269596985073374e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.05465532809265226 y[1] (numeric) = 0.05465532809265228 absolute error = 1.387778780781446e-17 relative error = 2.539146372754124e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.05465635262392116 y[1] (numeric) = 0.05465635262392117 absolute error = 6.938893903907228e-18 relative error = 1.269549388275558e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.05465737716799342 y[1] (numeric) = 0.05465737716799342 absolute error = 6.938893903907228e-18 relative error = 1.269525590768842e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.05465840172486911 y[1] (numeric) = 0.05465840172486912 absolute error = 6.938893903907228e-18 relative error = 1.269501793856898e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.0546594262945483 y[1] (numeric) = 0.05465942629454833 absolute error = 3.469446951953614e-17 relative error = 6.347389987698526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.05466045087703111 y[1] (numeric) = 0.05466045087703115 absolute error = 3.469446951953614e-17 relative error = 6.347271009086227e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.05466147547231761 y[1] (numeric) = 0.05466147547231764 absolute error = 3.469446951953614e-17 relative error = 6.347152033447501e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.05466250008040786 y[1] (numeric) = 0.0546625000804079 absolute error = 4.163336342344337e-17 relative error = 7.616439672938708e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.05466352470130196 y[1] (numeric) = 0.05466352470130199 absolute error = 3.469446951953614e-17 relative error = 6.346914091090397e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.05466454933499998 y[1] (numeric) = 0.05466454933500001 absolute error = 2.775557561562891e-17 relative error = 5.077436099497467e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.05466557398150199 y[1] (numeric) = 0.05466557398150202 absolute error = 3.469446951953614e-17 relative error = 6.346676160626473e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.05466659864080808 y[1] (numeric) = 0.05466659864080811 absolute error = 2.775557561562891e-17 relative error = 5.077245759883375e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.05466762331291834 y[1] (numeric) = 0.05466762331291836 absolute error = 2.775557561562891e-17 relative error = 5.077150593643986e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.05466864799783283 y[1] (numeric) = 0.05466864799783286 absolute error = 2.775557561562891e-17 relative error = 5.077055429782934e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.05466967269555164 y[1] (numeric) = 0.05466967269555167 absolute error = 3.469446951953614e-17 relative error = 6.346200335375185e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.05467069740607486 y[1] (numeric) = 0.05467069740607489 absolute error = 2.775557561562891e-17 relative error = 5.076865109195551e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.05467172212940255 y[1] (numeric) = 0.05467172212940258 absolute error = 2.775557561562891e-17 relative error = 5.076769952469069e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.05467274686553481 y[1] (numeric) = 0.05467274686553483 absolute error = 2.081668171172169e-17 relative error = 3.807506098590471e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.0546737716144717 y[1] (numeric) = 0.05467377161447173 absolute error = 2.775557561562891e-17 relative error = 5.076579646150155e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.05467479637621332 y[1] (numeric) = 0.05467479637621334 absolute error = 2.775557561562891e-17 relative error = 5.076484496557574e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.05467582115075973 y[1] (numeric) = 0.05467582115075976 absolute error = 2.775557561562891e-17 relative error = 5.076389349342812e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.05467684593811103 y[1] (numeric) = 0.05467684593811105 absolute error = 2.081668171172169e-17 relative error = 3.807220653379345e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.05467787073826728 y[1] (numeric) = 0.0546778707382673 absolute error = 2.775557561562891e-17 relative error = 5.076199062046446e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.05467889555122857 y[1] (numeric) = 0.0546788955512286 absolute error = 2.081668171172169e-17 relative error = 3.807077941473519e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.05467992037699496 y[1] (numeric) = 0.05467992037699501 absolute error = 5.551115123125783e-17 relative error = 1.015201756852093e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.05468094521556658 y[1] (numeric) = 0.05468094521556662 absolute error = 4.163336342344337e-17 relative error = 7.613870473400518e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.05468197006694347 y[1] (numeric) = 0.05468197006694352 absolute error = 4.85722573273506e-17 relative error = 8.882682402972469e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.05468299493112572 y[1] (numeric) = 0.05468299493112577 absolute error = 4.85722573273506e-17 relative error = 8.88251592447127e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.05468401980811342 y[1] (numeric) = 0.05468401980811347 absolute error = 4.163336342344337e-17 relative error = 7.613442385825897e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.05468504469790663 y[1] (numeric) = 0.05468504469790668 absolute error = 4.85722573273506e-17 relative error = 8.882182979949172e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.05468606960050545 y[1] (numeric) = 0.05468606960050549 absolute error = 4.163336342344337e-17 relative error = 7.613157011938295e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.05468709451590994 y[1] (numeric) = 0.05468709451590998 absolute error = 4.163336342344337e-17 relative error = 7.613014330342803e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.05468811944412019 y[1] (numeric) = 0.05468811944412023 absolute error = 4.163336342344337e-17 relative error = 7.612871652312702e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.05468914438513629 y[1] (numeric) = 0.05468914438513633 absolute error = 3.469446951953614e-17 relative error = 6.343940814873233e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.0546901693389583 y[1] (numeric) = 0.05469016933895834 absolute error = 4.163336342344337e-17 relative error = 7.612586306948227e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.05469119430558632 y[1] (numeric) = 0.05469119430558636 absolute error = 4.163336342344337e-17 relative error = 7.612443639613629e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.05469221928502042 y[1] (numeric) = 0.05469221928502045 absolute error = 3.469446951953614e-17 relative error = 6.343584146536647e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.05469324427726067 y[1] (numeric) = 0.0546932442772607 absolute error = 3.469446951953614e-17 relative error = 6.343465263032634e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.05469426928230717 y[1] (numeric) = 0.0546942692823072 absolute error = 2.775557561562891e-17 relative error = 5.074677105999377e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.05469529430015997 y[1] (numeric) = 0.05469529430016001 absolute error = 3.469446951953614e-17 relative error = 6.343227504936319e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.05469631933081919 y[1] (numeric) = 0.05469631933081922 absolute error = 2.775557561562891e-17 relative error = 5.074486904275066e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.05469734437428489 y[1] (numeric) = 0.05469734437428491 absolute error = 2.081668171172169e-17 relative error = 3.805793855233002e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.05469836943055714 y[1] (numeric) = 0.05469836943055716 absolute error = 2.775557561562891e-17 relative error = 5.074296712055792e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.05469939449963604 y[1] (numeric) = 0.05469939449963605 absolute error = 1.387778780781446e-17 relative error = 2.537100809755179e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.05470041958152162 y[1] (numeric) = 0.05470041958152166 absolute error = 4.85722573273506e-17 relative error = 8.879686426346686e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.05470144467621403 y[1] (numeric) = 0.05470144467621408 absolute error = 4.85722573273506e-17 relative error = 8.879520022708174e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.05470246978371333 y[1] (numeric) = 0.05470246978371338 absolute error = 4.85722573273506e-17 relative error = 8.879353623227468e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.05470349490401958 y[1] (numeric) = 0.05470349490401963 absolute error = 4.85722573273506e-17 relative error = 8.879187227904435e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.05470452003713287 y[1] (numeric) = 0.05470452003713292 absolute error = 4.85722573273506e-17 relative error = 8.879020836738947e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.05470554518305328 y[1] (numeric) = 0.05470554518305334 absolute error = 5.551115123125783e-17 relative error = 1.014726222826386e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.05470657034178091 y[1] (numeric) = 0.05470657034178095 absolute error = 4.85722573273506e-17 relative error = 8.878688066880083e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.0547075955133158 y[1] (numeric) = 0.05470759551331585 absolute error = 4.85722573273506e-17 relative error = 8.87852168818645e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.05470862069765806 y[1] (numeric) = 0.0547086206976581 absolute error = 4.163336342344337e-17 relative error = 7.610018840271291e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.05470964589480775 y[1] (numeric) = 0.05470964589480779 absolute error = 4.163336342344337e-17 relative error = 7.609876237088679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.05471067110476496 y[1] (numeric) = 0.054710671104765 absolute error = 4.85722573273506e-17 relative error = 8.878022577047178e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.05471169632752978 y[1] (numeric) = 0.05471169632752982 absolute error = 4.163336342344337e-17 relative error = 7.60959104141217e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.05471272156310227 y[1] (numeric) = 0.05471272156310231 absolute error = 4.163336342344337e-17 relative error = 7.609448448918049e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.05471374681148253 y[1] (numeric) = 0.05471374681148257 absolute error = 4.163336342344337e-17 relative error = 7.609305859986537e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.05471477207267061 y[1] (numeric) = 0.05471477207267066 absolute error = 4.85722573273506e-17 relative error = 8.877357153720444e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.05471579734666663 y[1] (numeric) = 0.05471579734666668 absolute error = 4.85722573273506e-17 relative error = 8.877190808279375e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = expt((0.2 * x + 0.3) , 2.0); Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 13 Hours 28 Minutes 24 Seconds Optimized Time Remaining = 13 Hours 28 Minutes 24 Seconds Time to Timeout = 50 Seconds Percent Done = 0.02061 %