##############ECHO OF PROBLEM################# ##############temp/divpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 1.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; // 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(2.0 - ln(fabs(cos(x)))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 2.005008355623235 y[1] (numeric) = 2.005008355623235 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) = 2.005009359020459 y[1] (numeric) = 2.00500935902046 absolute error = 4.440892098500626e-16 relative error = 2.214898438514127e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 2.005010362518691 y[1] (numeric) = 2.005010362518691 absolute error = 4.440892098500626e-16 relative error = 2.214897329967904e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 2.005011366117929 y[1] (numeric) = 2.005011366117929 absolute error = 4.440892098500626e-16 relative error = 2.214896221311209e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 2.005012369818175 y[1] (numeric) = 2.005012369818175 absolute error = 4.440892098500626e-16 relative error = 2.214895112544044e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 2.005013373619428 y[1] (numeric) = 2.005013373619428 absolute error = 4.440892098500626e-16 relative error = 2.214894003666408e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 2.005014377521689 y[1] (numeric) = 2.005014377521689 absolute error = 4.440892098500626e-16 relative error = 2.214892894678302e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 2.005015381524957 y[1] (numeric) = 2.005015381524958 absolute error = 4.440892098500626e-16 relative error = 2.214891785579725e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 2.005016385629234 y[1] (numeric) = 2.005016385629235 absolute error = 4.440892098500626e-16 relative error = 2.214890676370678e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 2.005017389834519 y[1] (numeric) = 2.00501738983452 absolute error = 8.881784197001252e-16 relative error = 4.429779134102322e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 2.005018394140813 y[1] (numeric) = 2.005018394140814 absolute error = 8.881784197001252e-16 relative error = 4.429776915242347e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 2.005019398548115 y[1] (numeric) = 2.005019398548116 absolute error = 4.440892098500626e-16 relative error = 2.214887348080716e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 2.005020403056426 y[1] (numeric) = 2.005020403056427 absolute error = 4.440892098500626e-16 relative error = 2.214886238429788e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 2.005021407665747 y[1] (numeric) = 2.005021407665748 absolute error = 4.440892098500626e-16 relative error = 2.214885128668391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 2.005022412376077 y[1] (numeric) = 2.005022412376078 absolute error = 4.440892098500626e-16 relative error = 2.214884018796524e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 2.005023417187417 y[1] (numeric) = 2.005023417187417 absolute error = 4.440892098500626e-16 relative error = 2.214882908814187e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 2.005024422099766 y[1] (numeric) = 2.005024422099766 absolute error = 8.881784197001252e-16 relative error = 4.429763597442762e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 2.005025427113125 y[1] (numeric) = 2.005025427113126 absolute error = 8.881784197001252e-16 relative error = 4.429761377036211e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 2.005026432227494 y[1] (numeric) = 2.005026432227495 absolute error = 8.881784197001252e-16 relative error = 4.429759156408722e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 2.005027437442874 y[1] (numeric) = 2.005027437442874 absolute error = 8.881784197001252e-16 relative error = 4.429756935560294e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 2.005028442759264 y[1] (numeric) = 2.005028442759265 absolute error = 8.881784197001252e-16 relative error = 4.429754714490928e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 2.005029448176665 y[1] (numeric) = 2.005029448176666 absolute error = 8.881784197001252e-16 relative error = 4.429752493200624e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 2.005030453695077 y[1] (numeric) = 2.005030453695078 absolute error = 8.881784197001252e-16 relative error = 4.429750271689383e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 2.0050314593145 y[1] (numeric) = 2.0050314593145 absolute error = 8.881784197001252e-16 relative error = 4.429748049957205e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 2.005032465034934 y[1] (numeric) = 2.005032465034935 absolute error = 8.881784197001252e-16 relative error = 4.429745828004088e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 2.00503347085638 y[1] (numeric) = 2.005033470856381 absolute error = 8.881784197001252e-16 relative error = 4.429743605830035e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 2.005034476778838 y[1] (numeric) = 2.005034476778839 absolute error = 8.881784197001252e-16 relative error = 4.429741383435045e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 2.005035482802307 y[1] (numeric) = 2.005035482802309 absolute error = 1.332267629550188e-15 relative error = 6.644608741228681e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 2.00503648892679 y[1] (numeric) = 2.005036488926791 absolute error = 8.881784197001252e-16 relative error = 4.429736937982256e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 2.005037495152284 y[1] (numeric) = 2.005037495152285 absolute error = 1.332267629550188e-15 relative error = 6.644602072386688e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 2.005038501478791 y[1] (numeric) = 2.005038501478792 absolute error = 1.332267629550188e-15 relative error = 6.644598737468585e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 2.005039507906311 y[1] (numeric) = 2.005039507906312 absolute error = 8.881784197001252e-16 relative error = 4.429730268146053e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 2.005040514434843 y[1] (numeric) = 2.005040514434844 absolute error = 8.881784197001252e-16 relative error = 4.429728044425448e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 2.005041521064389 y[1] (numeric) = 2.00504152106439 absolute error = 8.881784197001252e-16 relative error = 4.429725820483907e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 2.005042527794949 y[1] (numeric) = 2.00504252779495 absolute error = 8.881784197001252e-16 relative error = 4.429723596321431e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 2.005043534626521 y[1] (numeric) = 2.005043534626522 absolute error = 8.881784197001252e-16 relative error = 4.42972137193802e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 2.005044541559108 y[1] (numeric) = 2.005044541559109 absolute error = 8.881784197001252e-16 relative error = 4.429719147333676e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 2.005045548592709 y[1] (numeric) = 2.00504554859271 absolute error = 8.881784197001252e-16 relative error = 4.429716922508396e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 2.005046555727324 y[1] (numeric) = 2.005046555727325 absolute error = 8.881784197001252e-16 relative error = 4.429714697462182e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 2.005047562962953 y[1] (numeric) = 2.005047562962954 absolute error = 8.881784197001252e-16 relative error = 4.429712472195034e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 2.005048570299597 y[1] (numeric) = 2.005048570299598 absolute error = 8.881784197001252e-16 relative error = 4.429710246706953e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 2.005049577737256 y[1] (numeric) = 2.005049577737257 absolute error = 8.881784197001252e-16 relative error = 4.429708020997937e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 2.00505058527593 y[1] (numeric) = 2.005050585275931 absolute error = 8.881784197001252e-16 relative error = 4.42970579506799e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 2.005051592915619 y[1] (numeric) = 2.00505159291562 absolute error = 8.881784197001252e-16 relative error = 4.429703568917109e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 2.005052600656324 y[1] (numeric) = 2.005052600656325 absolute error = 8.881784197001252e-16 relative error = 4.429701342545295e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 2.005053608498044 y[1] (numeric) = 2.005053608498045 absolute error = 8.881784197001252e-16 relative error = 4.429699115952548e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 2.00505461644078 y[1] (numeric) = 2.005054616440781 absolute error = 8.881784197001252e-16 relative error = 4.429696889138869e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 2.005055624484532 y[1] (numeric) = 2.005055624484533 absolute error = 8.881784197001252e-16 relative error = 4.429694662104259e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 2.005056632629301 y[1] (numeric) = 2.005056632629302 absolute error = 8.881784197001252e-16 relative error = 4.429692434848715e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 2.005057640875085 y[1] (numeric) = 2.005057640875086 absolute error = 8.881784197001252e-16 relative error = 4.429690207372241e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 2.005058649221887 y[1] (numeric) = 2.005058649221888 absolute error = 8.881784197001252e-16 relative error = 4.429687979674834e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 2.005059657669706 y[1] (numeric) = 2.005059657669706 absolute error = 4.440892098500626e-16 relative error = 2.214842875878248e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 2.005060666218541 y[1] (numeric) = 2.005060666218542 absolute error = 8.881784197001252e-16 relative error = 4.429683523617228e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 2.005061674868394 y[1] (numeric) = 2.005061674868394 absolute error = 4.440892098500626e-16 relative error = 2.214840647628514e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 2.005062683619264 y[1] (numeric) = 2.005062683619264 absolute error = 4.440892098500626e-16 relative error = 2.21483953333795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 2.005063692471151 y[1] (numeric) = 2.005063692471152 absolute error = 4.440892098500626e-16 relative error = 2.214838418936919e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 2.005064701424057 y[1] (numeric) = 2.005064701424057 absolute error = 4.440892098500626e-16 relative error = 2.214837304425424e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 2.005065710477981 y[1] (numeric) = 2.005065710477981 absolute error = 4.440892098500626e-16 relative error = 2.214836189803464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 2.005066719632923 y[1] (numeric) = 2.005066719632924 absolute error = 8.881784197001252e-16 relative error = 4.429670150142078e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 2.005067728888884 y[1] (numeric) = 2.005067728888884 absolute error = 4.440892098500626e-16 relative error = 2.214833960228148e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 2.005068738245863 y[1] (numeric) = 2.005068738245864 absolute error = 8.881784197001252e-16 relative error = 4.429665690549589e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 2.005069747703861 y[1] (numeric) = 2.005069747703862 absolute error = 4.440892098500626e-16 relative error = 2.214831730210975e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 2.005070757262879 y[1] (numeric) = 2.005070757262879 absolute error = 4.440892098500626e-16 relative error = 2.214830615036691e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 2.005071766922915 y[1] (numeric) = 2.005071766922915 absolute error = 4.440892098500626e-16 relative error = 2.214829499751944e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 2.005072776683971 y[1] (numeric) = 2.005072776683972 absolute error = 4.440892098500626e-16 relative error = 2.214828384356732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 2.005073786546047 y[1] (numeric) = 2.005073786546047 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 2.005074796509143 y[1] (numeric) = 2.005074796509143 absolute error = 4.440892098500626e-16 relative error = 2.214826153234916e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 2.005075806573259 y[1] (numeric) = 2.005075806573259 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 2.005076816738395 y[1] (numeric) = 2.005076816738395 absolute error = 4.440892098500626e-16 relative error = 2.214823921671244e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 2.005077827004552 y[1] (numeric) = 2.005077827004552 absolute error = 4.440892098500626e-16 relative error = 2.214822805723712e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 2.005078837371729 y[1] (numeric) = 2.00507883737173 absolute error = 4.440892098500626e-16 relative error = 2.214821689665717e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 2.005079847839928 y[1] (numeric) = 2.005079847839928 absolute error = 4.440892098500626e-16 relative error = 2.214820573497259e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 2.005080858409147 y[1] (numeric) = 2.005080858409148 absolute error = 4.440892098500626e-16 relative error = 2.214819457218338e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 2.005081869079389 y[1] (numeric) = 2.005081869079389 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 2.005082879850651 y[1] (numeric) = 2.005082879850651 absolute error = 4.440892098500626e-16 relative error = 2.214817224329105e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 2.005083890722935 y[1] (numeric) = 2.005083890722935 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 2.005084901696241 y[1] (numeric) = 2.005084901696242 absolute error = 4.440892098500626e-16 relative error = 2.21481499099802e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 2.00508591277057 y[1] (numeric) = 2.00508591277057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 2.005086923945921 y[1] (numeric) = 2.005086923945921 absolute error = 4.440892098500626e-16 relative error = 2.214812757225084e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 2.005087935222294 y[1] (numeric) = 2.005087935222294 absolute error = 4.440892098500626e-16 relative error = 2.214811640172922e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 2.00508894659969 y[1] (numeric) = 2.00508894659969 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 2.005089958078109 y[1] (numeric) = 2.00508995807811 absolute error = 4.440892098500626e-16 relative error = 2.214809405737211e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 2.005090969657552 y[1] (numeric) = 2.005090969657552 absolute error = 4.440892098500626e-16 relative error = 2.214808288353662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 2.005091981338017 y[1] (numeric) = 2.005091981338018 absolute error = 4.440892098500626e-16 relative error = 2.214807170859651e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 2.005092993119507 y[1] (numeric) = 2.005092993119507 absolute error = 4.440892098500626e-16 relative error = 2.214806053255178e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 2.00509400500202 y[1] (numeric) = 2.00509400500202 absolute error = 4.440892098500626e-16 relative error = 2.214804935540243e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 2.005095016985557 y[1] (numeric) = 2.005095016985557 absolute error = 4.440892098500626e-16 relative error = 2.214803817714847e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 2.005096029070118 y[1] (numeric) = 2.005096029070119 absolute error = 4.440892098500626e-16 relative error = 2.214802699778988e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 2.005097041255704 y[1] (numeric) = 2.005097041255704 absolute error = 4.440892098500626e-16 relative error = 2.214801581732668e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 2.005098053542314 y[1] (numeric) = 2.005098053542315 absolute error = 4.440892098500626e-16 relative error = 2.214800463575887e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 2.005099065929949 y[1] (numeric) = 2.00509906592995 absolute error = 4.440892098500626e-16 relative error = 2.214799345308644e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 2.00510007841861 y[1] (numeric) = 2.00510007841861 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 2.005101091008295 y[1] (numeric) = 2.005101091008295 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 2.005102103699006 y[1] (numeric) = 2.005102103699006 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 2.005103116490743 y[1] (numeric) = 2.005103116490743 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 2.005104129383505 y[1] (numeric) = 2.005104129383505 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 2.005105142377294 y[1] (numeric) = 2.005105142377294 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 2.005106155472109 y[1] (numeric) = 2.005106155472109 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 2.00510716866795 y[1] (numeric) = 2.00510716866795 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 2.005108181964817 y[1] (numeric) = 2.005108181964817 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 2.005109195362712 y[1] (numeric) = 2.005109195362712 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ; Iterations = 100 Total Elapsed Time = 14 Seconds Elapsed Time(since restart) = 13 Seconds Expected Time Remaining = 3 Hours 27 Minutes 41 Seconds Optimized Time Remaining = 3 Hours 12 Minutes 51 Seconds Time to Timeout = 46 Seconds Percent Done = 0.1122 %