##############ECHO OF PROBLEM################# ##############temp/tanh_sqrtpostode.ode################# diff ( y , x , 1 ) = tanh(sqrt(2.0*x + 3.0)); ! // 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 = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(0.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop NO POLE Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.2000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.09484663213491283 absolute error = 0.09484663213491283 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.901 Order of pole = 0.1645 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.3000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.1902109190646548 absolute error = 0.1902109190646548 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.143 Order of pole = 0.7692 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.4000000000000002 y[1] (analytic) = 0 y[1] (numeric) = 0.2860294594483506 absolute error = 0.2860294594483506 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.322 Order of pole = 1.099 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.5000000000000003 y[1] (analytic) = 0 y[1] (numeric) = 0.382248167227162 absolute error = 0.382248167227162 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.472 Order of pole = 1.293 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.6000000000000004 y[1] (analytic) = 0 y[1] (numeric) = 0.4788206610284363 absolute error = 0.4788206610284363 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.605 Order of pole = 1.413 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.7000000000000005 y[1] (analytic) = 0 y[1] (numeric) = 0.5757069750299557 absolute error = 0.5757069750299557 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.73 Order of pole = 1.491 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.8000000000000006 y[1] (analytic) = 0 y[1] (numeric) = 0.6728725185074604 absolute error = 0.6728725185074604 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.849 Order of pole = 1.543 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.9000000000000007 y[1] (analytic) = 0 y[1] (numeric) = 0.7702872296931651 absolute error = 0.7702872296931651 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.964 Order of pole = 1.578 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = 0.8679248828463965 absolute error = 0.8679248828463965 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.076 Order of pole = 1.602 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.104999999999998 y[1] (analytic) = 0 y[1] (numeric) = 0.9706592757623589 absolute error = 0.9706592757623589 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.192 Order of pole = 1.618 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.204999999999996 y[1] (analytic) = 0 y[1] (numeric) = 1.068685227392915 absolute error = 1.068685227392915 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.301 Order of pole = 1.626 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.304999999999994 y[1] (analytic) = 0 y[1] (numeric) = 1.166872386014374 absolute error = 1.166872386014374 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.409 Order of pole = 1.629 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.404999999999992 y[1] (analytic) = 0 y[1] (numeric) = 1.265205140206313 absolute error = 1.265205140206313 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.516 Order of pole = 1.628 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.50499999999999 y[1] (analytic) = 0 y[1] (numeric) = 1.363669653063529 absolute error = 1.363669653063529 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.622 Order of pole = 1.622 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.604999999999988 y[1] (analytic) = 0 y[1] (numeric) = 1.462253628522865 absolute error = 1.462253628522865 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.727 Order of pole = 1.613 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.704999999999986 y[1] (analytic) = 0 y[1] (numeric) = 1.56094611283911 absolute error = 1.56094611283911 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.832 Order of pole = 1.6 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.804999999999984 y[1] (analytic) = 0 y[1] (numeric) = 1.659737325252717 absolute error = 1.659737325252717 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.935 Order of pole = 1.585 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.904999999999981 y[1] (analytic) = 0 y[1] (numeric) = 1.75861851301555 absolute error = 1.75861851301555 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.038 Order of pole = 1.566 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.004999999999979 y[1] (analytic) = 0 y[1] (numeric) = 1.85758182683118 absolute error = 1.85758182683118 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.14 Order of pole = 1.546 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.104999999999977 y[1] (analytic) = 0 y[1] (numeric) = 1.95662021347613 absolute error = 1.95662021347613 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.241 Order of pole = 1.524 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.204999999999975 y[1] (analytic) = 0 y[1] (numeric) = 2.055727322937839 absolute error = 2.055727322937839 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.342 Order of pole = 1.502 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.304999999999973 y[1] (analytic) = 0 y[1] (numeric) = 2.154897427864156 absolute error = 2.154897427864156 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.442 Order of pole = 1.479 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.404999999999971 y[1] (analytic) = 0 y[1] (numeric) = 2.254125353491282 absolute error = 2.254125353491282 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.542 Order of pole = 1.456 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.504999999999969 y[1] (analytic) = 0 y[1] (numeric) = 2.353406416520202 absolute error = 2.353406416520202 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.641 Order of pole = 1.434 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.604999999999967 y[1] (analytic) = 0 y[1] (numeric) = 2.452736371659556 absolute error = 2.452736371659556 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.74 Order of pole = 1.413 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.704999999999965 y[1] (analytic) = 0 y[1] (numeric) = 2.552111364756794 absolute error = 2.552111364756794 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.839 Order of pole = 1.394 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.804999999999962 y[1] (analytic) = 0 y[1] (numeric) = 2.651527891607632 absolute error = 2.651527891607632 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.938 Order of pole = 1.376 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 2.90499999999996 y[1] (analytic) = 0 y[1] (numeric) = 2.750982761673223 absolute error = 2.750982761673223 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.036 Order of pole = 1.359 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.004999999999958 y[1] (analytic) = 0 y[1] (numeric) = 2.850473066050399 absolute error = 2.850473066050399 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.135 Order of pole = 1.344 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.104999999999956 y[1] (analytic) = 0 y[1] (numeric) = 2.949996149137088 absolute error = 2.949996149137088 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.233 Order of pole = 1.331 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.204999999999954 y[1] (analytic) = 0 y[1] (numeric) = 3.049549583516137 absolute error = 3.049549583516137 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.332 Order of pole = 1.32 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.304999999999952 y[1] (analytic) = 0 y[1] (numeric) = 3.149131147648851 absolute error = 3.149131147648851 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.431 Order of pole = 1.31 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.40499999999995 y[1] (analytic) = 0 y[1] (numeric) = 3.248738806027061 absolute error = 3.248738806027061 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.53 Order of pole = 1.301 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.504999999999947 y[1] (analytic) = 0 y[1] (numeric) = 3.34837069148108 absolute error = 3.34837069148108 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.629 Order of pole = 1.294 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.604999999999945 y[1] (analytic) = 0 y[1] (numeric) = 3.448025089382166 absolute error = 3.448025089382166 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.728 Order of pole = 1.288 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.704999999999943 y[1] (analytic) = 0 y[1] (numeric) = 3.547700423513122 absolute error = 3.547700423513122 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.828 Order of pole = 1.283 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.804999999999941 y[1] (analytic) = 0 y[1] (numeric) = 3.647395243410611 absolute error = 3.647395243410611 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 5.927 Order of pole = 1.279 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 3.904999999999939 y[1] (analytic) = 0 y[1] (numeric) = 3.74710821300829 absolute error = 3.74710821300829 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.027 Order of pole = 1.276 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.004999999999937 y[1] (analytic) = 0 y[1] (numeric) = 3.84683810043184 absolute error = 3.84683810043184 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.127 Order of pole = 1.274 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.104999999999935 y[1] (analytic) = 0 y[1] (numeric) = 3.946583768815761 absolute error = 3.946583768815761 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.227 Order of pole = 1.273 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.204999999999933 y[1] (analytic) = 0 y[1] (numeric) = 4.046344168028056 absolute error = 4.046344168028056 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.327 Order of pole = 1.272 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.30499999999993 y[1] (analytic) = 0 y[1] (numeric) = 4.146118327202946 absolute error = 4.146118327202946 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.427 Order of pole = 1.272 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.404999999999928 y[1] (analytic) = 0 y[1] (numeric) = 4.245905347993858 absolute error = 4.245905347993858 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.528 Order of pole = 1.273 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.504999999999926 y[1] (analytic) = 0 y[1] (numeric) = 4.345704398469458 absolute error = 4.345704398469458 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.629 Order of pole = 1.273 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.604999999999924 y[1] (analytic) = 0 y[1] (numeric) = 4.445514707584632 absolute error = 4.445514707584632 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.729 Order of pole = 1.275 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.704999999999922 y[1] (analytic) = 0 y[1] (numeric) = 4.545335560166267 absolute error = 4.545335560166267 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.83 Order of pole = 1.277 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.80499999999992 y[1] (analytic) = 0 y[1] (numeric) = 4.645166292360611 absolute error = 4.645166292360611 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 6.931 Order of pole = 1.279 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 4.904999999999918 y[1] (analytic) = 0 y[1] (numeric) = 4.74500628749507 absolute error = 4.74500628749507 relative error = -1 % Correct digits = -1 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 7.032 Order of pole = 1.281 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 5.004999999999916 y[1] (analytic) = 0 y[1] (numeric) = 4.844854972312588 absolute error = 4.844854972312588 relative error = -1 % Correct digits = -1 h = 0.005 Finished! diff ( y , x , 1 ) = tanh(sqrt(2.0*x + 3.0)); Iterations = 981 Total Elapsed Time = 59 Seconds Elapsed Time(since restart) = 59 Seconds Time to Timeout = 9 Minutes 1 Seconds Percent Done = 100.2 %