##############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 = 0.00001 ; 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(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 = 1e-05 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 x[1] = -0.7999900000000001 y[1] (analytic) = -8.187116678453148 y[1] (numeric) = -8.187116678453148 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999800000000001 y[1] (analytic) = -8.187102173403813 y[1] (numeric) = -8.187102173403813 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999700000000002 y[1] (analytic) = -8.187087668364551 y[1] (numeric) = -8.187087668364551 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999600000000002 y[1] (analytic) = -8.187073163335363 y[1] (numeric) = -8.187073163335363 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999500000000003 y[1] (analytic) = -8.187058658316245 y[1] (numeric) = -8.187058658316246 absolute error = 1.77635683940025e-15 relative error = 2.169713096651462e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7999400000000003 y[1] (analytic) = -8.187044153307202 y[1] (numeric) = -8.187044153307202 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999300000000004 y[1] (analytic) = -8.187029648308231 y[1] (numeric) = -8.187029648308231 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999200000000004 y[1] (analytic) = -8.187015143319332 y[1] (numeric) = -8.187015143319332 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999100000000005 y[1] (analytic) = -8.187000638340507 y[1] (numeric) = -8.187000638340507 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 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 x[1] = -0.7999000000000005 y[1] (analytic) = -8.186986133371756 y[1] (numeric) = -8.186986133371754 absolute error = 1.77635683940025e-15 relative error = 2.169732317194814e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998900000000005 y[1] (analytic) = -8.186971628413076 y[1] (numeric) = -8.186971628413074 absolute error = 1.77635683940025e-15 relative error = 2.169736161336339e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998800000000006 y[1] (analytic) = -8.186957123464468 y[1] (numeric) = -8.186957123464467 absolute error = 1.77635683940025e-15 relative error = 2.169740005488817e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998700000000006 y[1] (analytic) = -8.186942618525935 y[1] (numeric) = -8.186942618525933 absolute error = 1.77635683940025e-15 relative error = 2.169743849652246e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998600000000007 y[1] (analytic) = -8.186928113597473 y[1] (numeric) = -8.186928113597471 absolute error = 1.77635683940025e-15 relative error = 2.169747693826628e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998500000000007 y[1] (analytic) = -8.186913608679086 y[1] (numeric) = -8.186913608679083 absolute error = 3.552713678800501e-15 relative error = 4.339503076023923e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998400000000008 y[1] (analytic) = -8.18689910377077 y[1] (numeric) = -8.186899103770767 absolute error = 3.552713678800501e-15 relative error = 4.339510764416495e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998300000000008 y[1] (analytic) = -8.186884598872526 y[1] (numeric) = -8.186884598872524 absolute error = 1.77635683940025e-15 relative error = 2.169759226415485e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998200000000009 y[1] (analytic) = -8.186870093984357 y[1] (numeric) = -8.186870093984354 absolute error = 3.552713678800501e-15 relative error = 4.339526141267351e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7998100000000009 y[1] (analytic) = -8.186855589106258 y[1] (numeric) = -8.186855589106257 absolute error = 1.77635683940025e-15 relative error = 2.169766914862818e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799800000000001 y[1] (analytic) = -8.186841084238235 y[1] (numeric) = -8.186841084238232 absolute error = 3.552713678800501e-15 relative error = 4.339541518205824e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799790000000001 y[1] (analytic) = -8.186826579380284 y[1] (numeric) = -8.186826579380281 absolute error = 3.552713678800501e-15 relative error = 4.339549206707918e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799780000000001 y[1] (analytic) = -8.186812074532405 y[1] (numeric) = -8.186812074532401 absolute error = 3.552713678800501e-15 relative error = 4.339556895231916e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997700000000011 y[1] (analytic) = -8.186797569694598 y[1] (numeric) = -8.186797569694596 absolute error = 1.77635683940025e-15 relative error = 2.16978229188891e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997600000000011 y[1] (analytic) = -8.186783064866866 y[1] (numeric) = -8.186783064866862 absolute error = 3.552713678800501e-15 relative error = 4.339572272345628e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997500000000012 y[1] (analytic) = -8.186768560049206 y[1] (numeric) = -8.186768560049202 absolute error = 3.552713678800501e-15 relative error = 4.339579960935341e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997400000000012 y[1] (analytic) = -8.186754055241618 y[1] (numeric) = -8.186754055241614 absolute error = 3.552713678800501e-15 relative error = 4.339587649546959e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997300000000013 y[1] (analytic) = -8.186739550444104 y[1] (numeric) = -8.1867395504441 absolute error = 3.552713678800501e-15 relative error = 4.339595338180482e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997200000000013 y[1] (analytic) = -8.186725045656662 y[1] (numeric) = -8.186725045656658 absolute error = 3.552713678800501e-15 relative error = 4.339603026835911e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997100000000014 y[1] (analytic) = -8.186710540879293 y[1] (numeric) = -8.18671054087929 absolute error = 3.552713678800501e-15 relative error = 4.339610715513244e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7997000000000014 y[1] (analytic) = -8.186696036111996 y[1] (numeric) = -8.186696036111993 absolute error = 3.552713678800501e-15 relative error = 4.339618404212484e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996900000000015 y[1] (analytic) = -8.186681531354774 y[1] (numeric) = -8.18668153135477 absolute error = 3.552713678800501e-15 relative error = 4.339626092933628e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996800000000015 y[1] (analytic) = -8.186667026607623 y[1] (numeric) = -8.186667026607619 absolute error = 3.552713678800501e-15 relative error = 4.339633781676679e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996700000000015 y[1] (analytic) = -8.186652521870545 y[1] (numeric) = -8.186652521870542 absolute error = 3.552713678800501e-15 relative error = 4.339641470441635e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996600000000016 y[1] (analytic) = -8.18663801714354 y[1] (numeric) = -8.186638017143537 absolute error = 3.552713678800501e-15 relative error = 4.339649159228496e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996500000000016 y[1] (analytic) = -8.186623512426607 y[1] (numeric) = -8.186623512426605 absolute error = 1.77635683940025e-15 relative error = 2.169828424018632e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996400000000017 y[1] (analytic) = -8.186609007719749 y[1] (numeric) = -8.186609007719746 absolute error = 3.552713678800501e-15 relative error = 4.339664536867937e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996300000000017 y[1] (analytic) = -8.186594503022963 y[1] (numeric) = -8.18659450302296 absolute error = 3.552713678800501e-15 relative error = 4.339672225720516e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996200000000018 y[1] (analytic) = -8.186579998336249 y[1] (numeric) = -8.186579998336246 absolute error = 3.552713678800501e-15 relative error = 4.339679914595003e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996100000000018 y[1] (analytic) = -8.186565493659609 y[1] (numeric) = -8.186565493659606 absolute error = 3.552713678800501e-15 relative error = 4.339687603491394e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7996000000000019 y[1] (analytic) = -8.186550988993041 y[1] (numeric) = -8.186550988993037 absolute error = 3.552713678800501e-15 relative error = 4.339695292409692e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995900000000019 y[1] (analytic) = -8.186536484336546 y[1] (numeric) = -8.186536484336543 absolute error = 3.552713678800501e-15 relative error = 4.339702981349896e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799580000000002 y[1] (analytic) = -8.186521979690124 y[1] (numeric) = -8.18652197969012 absolute error = 3.552713678800501e-15 relative error = 4.339710670312007e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799570000000002 y[1] (analytic) = -8.186507475053773 y[1] (numeric) = -8.186507475053771 absolute error = 1.77635683940025e-15 relative error = 2.169859179648013e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799560000000002 y[1] (analytic) = -8.186492970427498 y[1] (numeric) = -8.186492970427494 absolute error = 3.552713678800501e-15 relative error = 4.339726048301949e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995500000000021 y[1] (analytic) = -8.186478465811293 y[1] (numeric) = -8.186478465811291 absolute error = 1.77635683940025e-15 relative error = 2.16986686866489e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995400000000021 y[1] (analytic) = -8.186463961205162 y[1] (numeric) = -8.18646396120516 absolute error = 1.77635683940025e-15 relative error = 2.169870713189759e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995300000000022 y[1] (analytic) = -8.186449456609106 y[1] (numeric) = -8.186449456609102 absolute error = 3.552713678800501e-15 relative error = 4.339749115451162e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995200000000022 y[1] (analytic) = -8.18643495202312 y[1] (numeric) = -8.186434952023117 absolute error = 3.552713678800501e-15 relative error = 4.339756804544713e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995100000000023 y[1] (analytic) = -8.186420447447206 y[1] (numeric) = -8.186420447447205 absolute error = 1.77635683940025e-15 relative error = 2.169882246830086e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7995000000000023 y[1] (analytic) = -8.186405942881368 y[1] (numeric) = -8.186405942881365 absolute error = 3.552713678800501e-15 relative error = 4.339772182797538e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994900000000024 y[1] (analytic) = -8.186391438325602 y[1] (numeric) = -8.186391438325598 absolute error = 3.552713678800501e-15 relative error = 4.33977987195681e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994800000000024 y[1] (analytic) = -8.186376933779908 y[1] (numeric) = -8.186376933779904 absolute error = 3.552713678800501e-15 relative error = 4.339787561137991e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994700000000025 y[1] (analytic) = -8.186362429244285 y[1] (numeric) = -8.186362429244284 absolute error = 1.77635683940025e-15 relative error = 2.16989762517054e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994600000000025 y[1] (analytic) = -8.186347924718739 y[1] (numeric) = -8.186347924718735 absolute error = 3.552713678800501e-15 relative error = 4.339802939566074e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994500000000025 y[1] (analytic) = -8.186333420203264 y[1] (numeric) = -8.18633342020326 absolute error = 3.552713678800501e-15 relative error = 4.339810628812976e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994400000000026 y[1] (analytic) = -8.186318915697861 y[1] (numeric) = -8.186318915697857 absolute error = 3.552713678800501e-15 relative error = 4.339818318081787e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994300000000026 y[1] (analytic) = -8.186304411202531 y[1] (numeric) = -8.186304411202528 absolute error = 3.552713678800501e-15 relative error = 4.339826007372505e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994200000000027 y[1] (analytic) = -8.186289906717274 y[1] (numeric) = -8.186289906717271 absolute error = 3.552713678800501e-15 relative error = 4.339833696685132e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994100000000027 y[1] (analytic) = -8.18627540224209 y[1] (numeric) = -8.186275402242087 absolute error = 3.552713678800501e-15 relative error = 4.339841386019666e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7994000000000028 y[1] (analytic) = -8.186260897776979 y[1] (numeric) = -8.186260897776975 absolute error = 3.552713678800501e-15 relative error = 4.339849075376108e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993900000000028 y[1] (analytic) = -8.186246393321941 y[1] (numeric) = -8.186246393321937 absolute error = 3.552713678800501e-15 relative error = 4.339856764754458e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993800000000029 y[1] (analytic) = -8.186231888876977 y[1] (numeric) = -8.186231888876971 absolute error = 5.329070518200751e-15 relative error = 6.509796681232074e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993700000000029 y[1] (analytic) = -8.186217384442084 y[1] (numeric) = -8.186217384442079 absolute error = 5.329070518200751e-15 relative error = 6.509808215365324e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799360000000003 y[1] (analytic) = -8.186202880017264 y[1] (numeric) = -8.186202880017259 absolute error = 5.329070518200751e-15 relative error = 6.509819749531436e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799350000000003 y[1] (analytic) = -8.186188375602518 y[1] (numeric) = -8.186188375602512 absolute error = 5.329070518200751e-15 relative error = 6.509831283730412e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799340000000003 y[1] (analytic) = -8.186173871197845 y[1] (numeric) = -8.186173871197838 absolute error = 7.105427357601002e-15 relative error = 8.679790423949666e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993300000000031 y[1] (analytic) = -8.186159366803242 y[1] (numeric) = -8.186159366803237 absolute error = 5.329070518200751e-15 relative error = 6.509854352226951e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993200000000031 y[1] (analytic) = -8.186144862418717 y[1] (numeric) = -8.186144862418709 absolute error = 7.105427357601002e-15 relative error = 8.679821182032686e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993100000000032 y[1] (analytic) = -8.186130358044259 y[1] (numeric) = -8.186130358044254 absolute error = 5.329070518200751e-15 relative error = 6.509877420854943e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7993000000000032 y[1] (analytic) = -8.186115853679878 y[1] (numeric) = -8.186115853679873 absolute error = 5.329070518200751e-15 relative error = 6.509888955218232e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992900000000033 y[1] (analytic) = -8.186101349325568 y[1] (numeric) = -8.186101349325563 absolute error = 5.329070518200751e-15 relative error = 6.509900489614388e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992800000000033 y[1] (analytic) = -8.186086844981332 y[1] (numeric) = -8.186086844981327 absolute error = 5.329070518200751e-15 relative error = 6.509912024043405e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992700000000034 y[1] (analytic) = -8.186072340647168 y[1] (numeric) = -8.186072340647163 absolute error = 5.329070518200751e-15 relative error = 6.509923558505286e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992600000000034 y[1] (analytic) = -8.186057836323078 y[1] (numeric) = -8.186057836323073 absolute error = 5.329070518200751e-15 relative error = 6.509935093000031e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992500000000035 y[1] (analytic) = -8.18604333200906 y[1] (numeric) = -8.186043332009055 absolute error = 5.329070518200751e-15 relative error = 6.509946627527641e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992400000000035 y[1] (analytic) = -8.186028827705115 y[1] (numeric) = -8.18602882770511 absolute error = 5.329070518200751e-15 relative error = 6.509958162088114e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992300000000035 y[1] (analytic) = -8.186014323411243 y[1] (numeric) = -8.186014323411237 absolute error = 5.329070518200751e-15 relative error = 6.509969696681452e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992200000000036 y[1] (analytic) = -8.185999819127444 y[1] (numeric) = -8.185999819127439 absolute error = 5.329070518200751e-15 relative error = 6.509981231307654e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992100000000036 y[1] (analytic) = -8.185985314853717 y[1] (numeric) = -8.185985314853712 absolute error = 5.329070518200751e-15 relative error = 6.509992765966721e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7992000000000037 y[1] (analytic) = -8.185970810590064 y[1] (numeric) = -8.185970810590058 absolute error = 5.329070518200751e-15 relative error = 6.510004300658653e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991900000000037 y[1] (analytic) = -8.185956306336482 y[1] (numeric) = -8.185956306336477 absolute error = 5.329070518200751e-15 relative error = 6.51001583538345e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991800000000038 y[1] (analytic) = -8.185941802092975 y[1] (numeric) = -8.18594180209297 absolute error = 5.329070518200751e-15 relative error = 6.510027370141111e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991700000000038 y[1] (analytic) = -8.185927297859539 y[1] (numeric) = -8.185927297859534 absolute error = 5.329070518200751e-15 relative error = 6.510038904931637e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991600000000039 y[1] (analytic) = -8.185912793636177 y[1] (numeric) = -8.185912793636172 absolute error = 5.329070518200751e-15 relative error = 6.51005043975503e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991500000000039 y[1] (analytic) = -8.185898289422889 y[1] (numeric) = -8.185898289422882 absolute error = 7.105427357601002e-15 relative error = 8.680082632815047e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799140000000004 y[1] (analytic) = -8.185883785219673 y[1] (numeric) = -8.185883785219666 absolute error = 7.105427357601002e-15 relative error = 8.68009801266721e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799130000000004 y[1] (analytic) = -8.18586928102653 y[1] (numeric) = -8.185869281026523 absolute error = 7.105427357601002e-15 relative error = 8.680113392563193e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.799120000000004 y[1] (analytic) = -8.18585477684346 y[1] (numeric) = -8.185854776843453 absolute error = 7.105427357601002e-15 relative error = 8.680128772502997e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991100000000041 y[1] (analytic) = -8.185840272670461 y[1] (numeric) = -8.185840272670456 absolute error = 5.329070518200751e-15 relative error = 6.510108114364969e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7991000000000041 y[1] (analytic) = -8.185825768507538 y[1] (numeric) = -8.185825768507531 absolute error = 7.105427357601002e-15 relative error = 8.68015953251407e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990900000000042 y[1] (analytic) = -8.185811264354687 y[1] (numeric) = -8.18581126435468 absolute error = 7.105427357601002e-15 relative error = 8.680174912585338e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990800000000042 y[1] (analytic) = -8.185796760211907 y[1] (numeric) = -8.1857967602119 absolute error = 7.105427357601002e-15 relative error = 8.680190292700429e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990700000000043 y[1] (analytic) = -8.1857822560792 y[1] (numeric) = -8.185782256079195 absolute error = 5.329070518200751e-15 relative error = 6.510154254644507e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990600000000043 y[1] (analytic) = -8.185767751956568 y[1] (numeric) = -8.185767751956561 absolute error = 7.105427357601002e-15 relative error = 8.680221053062075e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990500000000044 y[1] (analytic) = -8.185753247844008 y[1] (numeric) = -8.185753247844001 absolute error = 7.105427357601002e-15 relative error = 8.680236433308632e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990400000000044 y[1] (analytic) = -8.185738743741521 y[1] (numeric) = -8.185738743741513 absolute error = 7.105427357601002e-15 relative error = 8.68025181359901e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990300000000045 y[1] (analytic) = -8.185724239649106 y[1] (numeric) = -8.185724239649099 absolute error = 7.105427357601002e-15 relative error = 8.680267193933211e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990200000000045 y[1] (analytic) = -8.185709735566766 y[1] (numeric) = -8.185709735566757 absolute error = 8.881784197001252e-15 relative error = 1.085035321788904e-13 % Correct digits = 14 h = 1e-05 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 x[1] = -0.7990100000000045 y[1] (analytic) = -8.185695231494496 y[1] (numeric) = -8.185695231494488 absolute error = 7.105427357601002e-15 relative error = 8.680297954733082e-14 % Correct digits = 15 h = 1e-05 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 x[1] = -0.7990000000000046 y[1] (analytic) = -8.185680727432301 y[1] (numeric) = -8.185680727432294 absolute error = 7.105427357601002e-15 relative error = 8.680313335198752e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; Iterations = 100 Total Elapsed Time = 15 Seconds Elapsed Time(since restart) = 14 Seconds Expected Time Remaining = 6 Hours 35 Minutes 47 Seconds Optimized Time Remaining = 6 Hours 9 Minutes 24 Seconds Time to Timeout = 45 Seconds Percent Done = 0.06312 %