##############ECHO OF PROBLEM################# ##############temp/lin_arccospostode.ode################# diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; ! // BEGIN FIRST INPUT BLOCK max_terms = 30; Digits = 32; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = -0.8; x_end = 0.8 ; 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 = 0.005 ; 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(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -0.8 y[1] (analytic) = -8.187131183512555 y[1] (numeric) = -8.187131183512555 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.891 Order of pole = 0.3249 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.7 y[1] (analytic) = -8.042584387278819 y[1] (numeric) = -8.042584386213379 absolute error = 1.065439292347037e-09 relative error = 1.324747420782146e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.5999999999999999 y[1] (analytic) = -7.899046158670194 y[1] (numeric) = -7.899046156449428 absolute error = 2.220765793481405e-09 relative error = 2.811435392162934e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.4999999999999998 y[1] (analytic) = -7.756517885615279 y[1] (numeric) = -7.756517882148207 absolute error = 3.467071074680916e-09 relative error = 4.469880848351701e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.3999999999999997 y[1] (analytic) = -7.615001065253674 y[1] (numeric) = -7.615001060448138 absolute error = 4.805536413243772e-09 relative error = 6.310618175972229e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.2999999999999996 y[1] (analytic) = -7.474497305362258 y[1] (numeric) = -7.474497299124806 absolute error = 6.237451444235376e-09 relative error = 8.3449778485579e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.1999999999999995 y[1] (analytic) = -7.335008325899321 y[1] (numeric) = -7.335008318135121 absolute error = 7.764199949633621e-09 relative error = 1.058512765720914e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = -0.09999999999999942 y[1] (analytic) = -7.196535960670851 y[1] (numeric) = -7.196535951283577 absolute error = 9.387274069183604e-09 relative error = 1.304415641148069e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 5.984795992119984e-16 y[1] (analytic) = -7.059082159123579 y[1] (numeric) = -7.059082148015304 absolute error = 1.110827518857604e-08 relative error = 1.573614662384832e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.1000000000000006 y[1] (analytic) = -6.922648988269865 y[1] (numeric) = -6.922648975340944 absolute error = 1.292892104487464e-08 relative error = 1.867626260811743e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.331 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.2000000000000007 y[1] (analytic) = -6.787238634749933 y[1] (numeric) = -6.787238619898891 absolute error = 1.48510421738024e-08 relative error = 2.188083103158722e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.3000000000000008 y[1] (analytic) = -6.652853407037465 y[1] (numeric) = -6.652853390160864 absolute error = 1.687660056148843e-08 relative error = 2.536746194292537e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3279 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.4000000000000009 y[1] (analytic) = -6.519495737795037 y[1] (numeric) = -6.51949571878735 absolute error = 1.900768697993271e-08 relative error = 2.915514902439574e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.672 Order of pole = 0.326 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.5000000000000009 y[1] (analytic) = -6.387168186386496 y[1] (numeric) = -6.38716816513997 absolute error = 2.12465263160766e-08 relative error = 3.326439150508216e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.646 Order of pole = 0.3245 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.600000000000001 y[1] (analytic) = -6.255873441553936 y[1] (numeric) = -6.255873417958443 absolute error = 2.359549267083594e-08 relative error = 3.771734337543584e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.62 Order of pole = 0.3238 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.7000000000000011 y[1] (analytic) = -6.125614324267577 y[1] (numeric) = -6.125614298210473 absolute error = 2.605710403003059e-08 relative error = 4.253794419737022e-07 % Correct digits = 8 h = 0.005 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.593 Order of pole = 0.3242 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used x[1] = 0.8000000000000012 y[1] (analytic) = -5.996393790757606 y[1] (numeric) = -5.996393762123557 absolute error = 2.86340497979154e-08 relative error = 4.775211701748105e-07 % Correct digits = 8 h = 0.005 Finished! diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; Iterations = 320 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 10 Seconds Time to Timeout = 9 Minutes 50 Seconds Percent Done = 100.3 %