##############ECHO OF PROBLEM################# ##############temp/cosh_sqrtpostode.ode################# diff ( y , x , 1 ) = cosh(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 = 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(20.0 * sqrt(0.1 * x + 0.2) * sinh( sqrt(0.1 * x + 0.2)) - 20.0 * cosh( sqrt(0.1 * x + 0.2))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -17.78845697688962 y[1] (numeric) = -17.78845697688962 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) = -17.78844590838292 y[1] (numeric) = -17.78844590838292 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -17.78843483987104 y[1] (numeric) = -17.78843483987104 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -17.788423771354 y[1] (numeric) = -17.78842377135399 absolute error = 3.552713678800501e-15 relative error = 1.997205443532156e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -17.78841270283177 y[1] (numeric) = -17.78841270283177 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) = -17.78840163430436 y[1] (numeric) = -17.78840163430436 absolute error = 3.552713678800501e-15 relative error = 1.997207928985147e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -17.78839056577178 y[1] (numeric) = -17.78839056577178 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) = -17.78837949723403 y[1] (numeric) = -17.78837949723403 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) = -17.78836842869109 y[1] (numeric) = -17.78836842869109 absolute error = 3.552713678800501e-15 relative error = 1.997211657180589e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -17.78835736014298 y[1] (numeric) = -17.78835736014298 absolute error = 3.552713678800501e-15 relative error = 1.997212899916659e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -17.78834629158969 y[1] (numeric) = -17.78834629158969 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) = -17.78833522303123 y[1] (numeric) = -17.78833522303123 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) = -17.78832415446758 y[1] (numeric) = -17.78832415446758 absolute error = 3.552713678800501e-15 relative error = 1.997216628137636e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -17.78831308589876 y[1] (numeric) = -17.78831308589876 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -17.78830201732477 y[1] (numeric) = -17.78830201732477 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) = -17.78829094874559 y[1] (numeric) = -17.78829094874559 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -17.78827988016124 y[1] (numeric) = -17.78827988016124 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) = -17.78826881157172 y[1] (numeric) = -17.78826881157172 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) = -17.78825774297702 y[1] (numeric) = -17.78825774297702 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) = -17.78824667437713 y[1] (numeric) = -17.78824667437713 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) = -17.78823560577208 y[1] (numeric) = -17.78823560577208 absolute error = 3.552713678800501e-15 relative error = 1.997226570153864e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = -17.78822453716184 y[1] (numeric) = -17.78822453716184 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -17.78821346854643 y[1] (numeric) = -17.78821346854643 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -17.78820239992585 y[1] (numeric) = -17.78820239992584 absolute error = 3.552713678800501e-15 relative error = 1.997230298445059e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -17.78819133130008 y[1] (numeric) = -17.78819133130008 absolute error = 3.552713678800501e-15 relative error = 1.997231541213047e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = -17.78818026266914 y[1] (numeric) = -17.78818026266914 absolute error = 3.552713678800501e-15 relative error = 1.997232783983162e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -17.78816919403302 y[1] (numeric) = -17.78816919403302 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -17.78815812539172 y[1] (numeric) = -17.78815812539172 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = -17.78814705674525 y[1] (numeric) = -17.78814705674525 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = -17.78813598809361 y[1] (numeric) = -17.7881359880936 absolute error = 3.552713678800501e-15 relative error = 1.997237755084901e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -17.78812491943678 y[1] (numeric) = -17.78812491943678 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = -17.78811385077478 y[1] (numeric) = -17.78811385077478 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -17.78810278210759 y[1] (numeric) = -17.7881027821076 absolute error = 3.552713678800501e-15 relative error = 1.997241483433549e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -17.78809171343524 y[1] (numeric) = -17.78809171343524 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.315 Order of pole = 1.962 x[1] = 0.1003399999999999 y[1] (analytic) = -17.78808064475771 y[1] (numeric) = -17.78808064475771 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -17.788069576075 y[1] (numeric) = -17.788069576075 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -17.78805850738711 y[1] (numeric) = -17.78805850738711 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -17.78804743869404 y[1] (numeric) = -17.78804743869405 absolute error = 3.552713678800501e-15 relative error = 1.99724769739052e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -17.7880363699958 y[1] (numeric) = -17.7880363699958 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -17.78802530129239 y[1] (numeric) = -17.78802530129239 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -17.78801423258379 y[1] (numeric) = -17.78801423258379 absolute error = 3.552713678800501e-15 relative error = 1.997251425790237e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -17.78800316387002 y[1] (numeric) = -17.78800316387002 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -17.78799209515107 y[1] (numeric) = -17.78799209515107 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -17.78798102642694 y[1] (numeric) = -17.78798102642695 absolute error = 3.552713678800501e-15 relative error = 1.997255154209107e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -17.78796995769765 y[1] (numeric) = -17.78796995769764 absolute error = 3.552713678800501e-15 relative error = 1.997256397019652e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -17.78795888896316 y[1] (numeric) = -17.78795888896316 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -17.78794782022351 y[1] (numeric) = -17.78794782022351 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -17.78793675147868 y[1] (numeric) = -17.78793675147868 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -17.78792568272867 y[1] (numeric) = -17.78792568272867 absolute error = 3.552713678800501e-15 relative error = 1.997261368283114e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -17.78791461397348 y[1] (numeric) = -17.78791461397348 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -17.78790354521312 y[1] (numeric) = -17.78790354521312 absolute error = 3.552713678800501e-15 relative error = 1.997263853927613e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -17.78789247644757 y[1] (numeric) = -17.78789247644757 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -17.78788140767686 y[1] (numeric) = -17.78788140767686 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -17.78787033890097 y[1] (numeric) = -17.78787033890096 absolute error = 3.552713678800501e-15 relative error = 1.997267582410322e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -17.7878592701199 y[1] (numeric) = -17.78785927011989 absolute error = 3.552713678800501e-15 relative error = 1.997268825242148e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -17.78784820133365 y[1] (numeric) = -17.78784820133365 absolute error = 3.552713678800501e-15 relative error = 1.997270068076101e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -17.78783713254222 y[1] (numeric) = -17.78783713254222 absolute error = 3.552713678800501e-15 relative error = 1.997271310912183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -17.78782606374562 y[1] (numeric) = -17.78782606374562 absolute error = 7.105427357601002e-15 relative error = 3.994545107500785e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -17.78781499494384 y[1] (numeric) = -17.78781499494384 absolute error = 3.552713678800501e-15 relative error = 1.99727379659073e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -17.78780392613688 y[1] (numeric) = -17.78780392613688 absolute error = 3.552713678800501e-15 relative error = 1.997275039433196e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -17.78779285732476 y[1] (numeric) = -17.78779285732475 absolute error = 7.105427357601002e-15 relative error = 3.994552564555579e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -17.78778178850744 y[1] (numeric) = -17.78778178850744 absolute error = 3.552713678800501e-15 relative error = 1.997277525124512e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -17.78777071968496 y[1] (numeric) = -17.78777071968495 absolute error = 3.552713678800501e-15 relative error = 1.997278767973362e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -17.7877596508573 y[1] (numeric) = -17.78775965085729 absolute error = 7.105427357601002e-15 relative error = 3.994560021648679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -17.78774858202446 y[1] (numeric) = -17.78774858202445 absolute error = 7.105427357601002e-15 relative error = 3.994562507354891e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -17.78773751318644 y[1] (numeric) = -17.78773751318643 absolute error = 1.06581410364015e-14 relative error = 5.991847489598037e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -17.78772644434324 y[1] (numeric) = -17.78772644434324 absolute error = 3.552713678800501e-15 relative error = 1.997283739390042e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -17.78771537549487 y[1] (numeric) = -17.78771537549487 absolute error = 3.552713678800501e-15 relative error = 1.997284982249532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -17.78770430664132 y[1] (numeric) = -17.78770430664132 absolute error = 3.552713678800501e-15 relative error = 1.997286225111151e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -17.78769323778261 y[1] (numeric) = -17.78769323778259 absolute error = 1.06581410364015e-14 relative error = 5.99186240392469e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -17.7876821689187 y[1] (numeric) = -17.78768216891869 absolute error = 1.06581410364015e-14 relative error = 5.991866132522314e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -17.78767110004963 y[1] (numeric) = -17.78767110004961 absolute error = 1.06581410364015e-14 relative error = 5.991869861126322e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -17.78766003117537 y[1] (numeric) = -17.78766003117536 absolute error = 1.06581410364015e-14 relative error = 5.991873589736714e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -17.78764896229594 y[1] (numeric) = -17.78764896229593 absolute error = 7.105427357601002e-15 relative error = 3.994584878902327e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -17.78763789341133 y[1] (numeric) = -17.78763789341132 absolute error = 1.06581410364015e-14 relative error = 5.991881046976652e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -17.78762682452154 y[1] (numeric) = -17.78762682452153 absolute error = 1.06581410364015e-14 relative error = 5.991884775606197e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -17.78761575562658 y[1] (numeric) = -17.78761575562657 absolute error = 1.06581410364015e-14 relative error = 5.991888504242127e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -17.78760468672644 y[1] (numeric) = -17.78760468672643 absolute error = 1.06581410364015e-14 relative error = 5.991892232884441e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -17.78759361782112 y[1] (numeric) = -17.78759361782111 absolute error = 1.06581410364015e-14 relative error = 5.991895961533139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -17.78758254891063 y[1] (numeric) = -17.78758254891062 absolute error = 1.06581410364015e-14 relative error = 5.991899690188222e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -17.78757147999496 y[1] (numeric) = -17.78757147999495 absolute error = 1.06581410364015e-14 relative error = 5.99190341884969e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -17.78756041107411 y[1] (numeric) = -17.7875604110741 absolute error = 1.06581410364015e-14 relative error = 5.991907147517542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -17.78754934214809 y[1] (numeric) = -17.78754934214808 absolute error = 1.4210854715202e-14 relative error = 7.989214501589036e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -17.78753827321689 y[1] (numeric) = -17.78753827321687 absolute error = 1.06581410364015e-14 relative error = 5.991914604872399e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -17.78752720428051 y[1] (numeric) = -17.7875272042805 absolute error = 1.06581410364015e-14 relative error = 5.991918333559404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -17.78751613533895 y[1] (numeric) = -17.78751613533894 absolute error = 1.06581410364015e-14 relative error = 5.991922062252793e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -17.78750506639222 y[1] (numeric) = -17.78750506639221 absolute error = 1.06581410364015e-14 relative error = 5.991925790952569e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -17.78749399744031 y[1] (numeric) = -17.7874939974403 absolute error = 7.105427357601002e-15 relative error = 3.994619679772486e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -17.78748292848322 y[1] (numeric) = -17.78748292848321 absolute error = 7.105427357601002e-15 relative error = 3.994622165580848e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -17.78747185952096 y[1] (numeric) = -17.78747185952095 absolute error = 1.06581410364015e-14 relative error = 5.991936977090199e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -17.78746079055352 y[1] (numeric) = -17.78746079055351 absolute error = 7.105427357601002e-15 relative error = 3.994627137210342e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -17.78744972158091 y[1] (numeric) = -17.7874497215809 absolute error = 7.105427357601002e-15 relative error = 3.994629623031473e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -17.78743865260311 y[1] (numeric) = -17.7874386526031 absolute error = 7.105427357601002e-15 relative error = 3.994632108856862e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -17.78742758362014 y[1] (numeric) = -17.78742758362013 absolute error = 7.105427357601002e-15 relative error = 3.994634594686506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -17.787416514632 y[1] (numeric) = -17.78741651463199 absolute error = 1.06581410364015e-14 relative error = 5.99195562078061e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -17.78740544563867 y[1] (numeric) = -17.78740544563866 absolute error = 1.06581410364015e-14 relative error = 5.991959349537845e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -17.78739437664017 y[1] (numeric) = -17.78739437664016 absolute error = 1.06581410364015e-14 relative error = 5.991963078301465e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -17.78738330763649 y[1] (numeric) = -17.78738330763648 absolute error = 7.105427357601002e-15 relative error = 3.994644538047649e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -17.78737223862764 y[1] (numeric) = -17.78737223862763 absolute error = 1.06581410364015e-14 relative error = 5.991970535847862e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -17.7873611696136 y[1] (numeric) = -17.78736116961359 absolute error = 1.06581410364015e-14 relative error = 5.991974264630638e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -17.7873501005944 y[1] (numeric) = -17.78735010059438 absolute error = 1.06581410364015e-14 relative error = 5.991977993419797e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = cosh(sqrt(0.1 * x + 0.2)); Iterations = 100 Total Elapsed Time = 50 Seconds Elapsed Time(since restart) = 17 Seconds Expected Time Remaining = 2 Days 19 Hours 22 Minutes 4 Seconds Optimized Time Remaining = 21 Hours 33 Minutes 27 Seconds Time to Timeout = 10 Seconds Percent Done = 0.02061 %