##############ECHO OF PROBLEM################# ##############temp/cosh_sqrtpostode.ode################# diff ( y , x , 1 ) = cosh ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=2.0 x_end=3.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 $glob_max_h=0.00001 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(20.0 * sqrt(0.1 * x + 0.2) * sinh( sqrt(0.1 * x + 0.2)) - 20.0 * cosh( sqrt(0.1 * x + 0.2))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.0 estimated_steps 1000000.0 step_error 1.0e-16 est_needed_step_err 1.0e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.689708997485373e-176 estimated_step_error 1.689708997485373e-176 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1339443848036334e-168 estimated_step_error 1.1339443848036334e-168 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.609770228126397e-161 estimated_step_error 7.609770228126397e-161 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.106828041598055e-153 estimated_step_error 5.106828041598055e-153 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.42713118270091e-145 estimated_step_error 3.42713118270091e-145 best_h 1.0e-05 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) -15.591021712399572 y[1] (numeric) -15.591021712399572 absolute error 0.0 relative error 0.0% Correct digits 16 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9875025696829134 Order of pole (three term test) 1.6327890570757382 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100000000000655 y[1] (analytic) -15.578951480289977 y[1] (numeric) -15.578951482960315 absolute error 2.6703386168946963e-09 relative error 1.7140682543835693e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9974724883962107 Order of pole (three term test) 1.6327768558772744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000131 y[1] (analytic) -15.566875907249335 y[1] (numeric) -15.566875912590453 absolute error 5.341117770285564e-09 relative error 3.4310787868478224e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.007442413107937 Order of pole (three term test) 1.6327646530819115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000001965 y[1] (analytic) -15.554794992410375 y[1] (numeric) -15.554795000422686 absolute error 8.012310814820012e-09 relative error 5.151023088847809e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.017412343819073 Order of pole (three term test) 1.6327524486925915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.040000000000262 y[1] (analytic) -15.542708734905748 y[1] (numeric) -15.5427087455897 absolute error 1.0683951501277988e-08 relative error 6.87393149000085e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.0273822805315564 Order of pole (three term test) 1.6327402427072204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000003276 y[1] (analytic) -15.530617133867986 y[1] (numeric) -15.530617147224019 absolute error 1.3356032724232136e-08 relative error 8.599808113939219e-08% Correct digits 10 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.037352223246906 Order of pole (three term test) 1.6327280351255706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060000000000393 y[1] (analytic) -15.518520188429571 y[1] (numeric) -15.518520204458058 absolute error 1.602848698212256e-08 relative error 1.0328618184917665e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.047322171966425 Order of pole (three term test) 1.6327158259487056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700000000004586 y[1] (analytic) -15.506417897722876 y[1] (numeric) -15.506417916424295 absolute error 1.870141908000278e-08 relative error 1.2060437944697138e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.057292126691736 Order of pole (three term test) 1.6327036151760954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080000000000524 y[1] (analytic) -15.494310260880205 y[1] (numeric) -15.494310282254958 absolute error 2.1374752634528704e-08 relative error 1.3795226941140677e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.067262087423891 Order of pole (three term test) 1.6326914028100319 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900000000005896 y[1] (analytic) -15.482197277033762 y[1] (numeric) -15.48219730108232 absolute error 2.404855692361707e-08 relative error 1.5533038685206922e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.077232054165309 Order of pole (three term test) 1.6326791888459364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100000000000655 y[1] (analytic) -15.470078945315679 y[1] (numeric) -15.470078972038456 absolute error 2.6722776880205856e-08 relative error 1.7273846484343558e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.0872020269164135 Order of pole (three term test) 1.6326669732893426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100000000007206 y[1] (analytic) -15.457955264857995 y[1] (numeric) -15.457955294255436 absolute error 2.9397440926004492e-08 relative error 1.901767757915332e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.097172005679532 Order of pole (three term test) 1.632654756136162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.120000000000786 y[1] (analytic) -15.44582623479265 y[1] (numeric) -15.44582626686521 absolute error 3.2072559719154015e-08 relative error 2.0764547801857728e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.107141990455515 Order of pole (three term test) 1.632642537389278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300000000008517 y[1] (analytic) -15.43369185425152 y[1] (numeric) -15.433691888999624 absolute error 3.4748103061588154e-08 relative error 2.2514446569059942e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.117111981246449 Order of pole (three term test) 1.632630317046318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.140000000000917 y[1] (analytic) -15.421552122366387 y[1] (numeric) -15.42155215979046 absolute error 3.742407272966375e-08 relative error 2.4267384004354776e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.127081978053308 Order of pole (three term test) 1.6326180951096845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500000000009827 y[1] (analytic) -15.409407038268947 y[1] (numeric) -15.409407078369428 absolute error 4.0100481157878676e-08 relative error 2.602337718660423e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.137051980877891 Order of pole (three term test) 1.6326058715779699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.160000000001048 y[1] (analytic) -15.397256601090815 y[1] (numeric) -15.397256643868111 absolute error 4.2777296371809825e-08 relative error 2.7782414413213897e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.147021989721366 Order of pole (three term test) 1.6325936464530095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1700000000011137 y[1] (analytic) -15.385100809963497 y[1] (numeric) -15.385100855418068 absolute error 4.545457166216238e-08 relative error 2.954453937196543e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.156992004585784 Order of pole (three term test) 1.6325814197318886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180000000001179 y[1] (analytic) -15.372939664018448 y[1] (numeric) -15.372939712150703 absolute error 4.8132255514587996e-08 relative error 3.1309727720616283e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.166962025472057 Order of pole (three term test) 1.632569191417729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1900000000012447 y[1] (analytic) -15.360773162387016 y[1] (numeric) -15.360773213197445 absolute error 5.081042964150129e-08 relative error 3.3078041778468336e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.176932052382012 Order of pole (three term test) 1.63255696150879 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2000000000013102 y[1] (analytic) -15.348601304200466 y[1] (numeric) -15.348601357689464 absolute error 5.3488998119632924e-08 relative error 3.4849428335202466e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.18690208531697 Order of pole (three term test) 1.63254473000622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2100000000013758 y[1] (analytic) -15.336424088589979 y[1] (numeric) -15.336424144757995 absolute error 5.616801601604493e-08 relative error 3.662393247056393e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.196872124278601 Order of pole (three term test) 1.6325324969090227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200000000014413 y[1] (analytic) -15.32424151468664 y[1] (numeric) -15.324241573534087 absolute error 5.884744602724368e-08 relative error 3.840153913708859e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.206842169268283 Order of pole (three term test) 1.6325202622179174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2300000000015068 y[1] (analytic) -15.312053581621479 y[1] (numeric) -15.312053643148818 absolute error 6.152733966757751e-08 relative error 4.018229125153181e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.216812220287192 Order of pole (three term test) 1.6325080259344966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400000000015723 y[1] (analytic) -15.299860288525396 y[1] (numeric) -15.299860352733061 absolute error 6.420766496262331e-08 relative error 4.196617730606196e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.226782277337472 Order of pole (three term test) 1.6324957880556519 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.250000000001638 y[1] (analytic) -15.287661634529243 y[1] (numeric) -15.287661701417658 absolute error 6.688841480695373e-08 relative error 4.375320203050363e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.236752340420113 Order of pole (three term test) 1.6324835485838725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2600000000017033 y[1] (analytic) -15.275457618763769 y[1] (numeric) -15.275457688333356 absolute error 6.956958742421193e-08 relative error 4.5543373665451045e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.2467224095365355 Order of pole (three term test) 1.6324713075197377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.270000000001769 y[1] (analytic) -15.263248240359635 y[1] (numeric) -15.263248312610848 absolute error 7.225121301246418e-08 relative error 4.733672143352481e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.256692484688649 Order of pole (three term test) 1.6324590648610786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800000000018343 y[1] (analytic) -15.251033498447423 y[1] (numeric) -15.251033573380694 absolute error 7.49332702554284e-08 relative error 4.913324088040113e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.266662565877874 Order of pole (three term test) 1.6324468206084763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2900000000019 y[1] (analytic) -15.238813392157626 y[1] (numeric) -15.238813469773415 absolute error 7.761578935117086e-08 relative error 5.093296134928353e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.276632653105176 Order of pole (three term test) 1.632434574764487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3000000000019654 y[1] (analytic) -15.226587920620654 y[1] (numeric) -15.226588000919369 absolute error 8.029871523262955e-08 relative error 5.273585628720192e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.286602746372552 Order of pole (three term test) 1.63242232732677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310000000002031 y[1] (analytic) -15.214357082966819 y[1] (numeric) -15.214357165948892 absolute error 8.298207276880021e-08 relative error 5.454195160287286e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.296572845681491 Order of pole (three term test) 1.6324100782952857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200000000020964 y[1] (analytic) -15.20212087832637 y[1] (numeric) -15.202120963992234 absolute error 8.566586373603968e-08 relative error 5.635125810515908e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.306542951033313 Order of pole (three term test) 1.6323978276712565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330000000002162 y[1] (analytic) -15.189879305829443 y[1] (numeric) -15.189879394179556 absolute error 8.835011300334372e-08 relative error 5.816380184761406e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3165130624293155 Order of pole (three term test) 1.632385575455413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400000000022274 y[1] (analytic) -15.177632364606119 y[1] (numeric) -15.177632455640913 absolute error 9.103479392535974e-08 relative error 5.997957503414744e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3264831798714525 Order of pole (three term test) 1.632373321645573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.350000000002293 y[1] (analytic) -15.165380053786356 y[1] (numeric) -15.165380147506257 absolute error 9.37199011730172e-08 relative error 6.17985839066513e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.336453303360788 Order of pole (three term test) 1.6323610662439545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600000000023584 y[1] (analytic) -15.153122372500057 y[1] (numeric) -15.153122468905496 absolute error 9.640543829902981e-08 relative error 6.36208405958542e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.34642343289897 Order of pole (three term test) 1.6323488092499858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370000000002424 y[1] (analytic) -15.14085931987704 y[1] (numeric) -15.140859418968443 absolute error 9.909140352704071e-08 relative error 6.544635375942813e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.356393568487488 Order of pole (three term test) 1.632336550663436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800000000024895 y[1] (analytic) -15.128590895046997 y[1] (numeric) -15.128590996824823 absolute error 1.0177782527875934e-07 relative error 6.727515205139213e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.366363710127822 Order of pole (three term test) 1.6323242904849986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390000000002555 y[1] (analytic) -15.116317097139582 y[1] (numeric) -15.116317201604243 absolute error 1.0446466092162154e-07 relative error 6.91072172211769e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.376333857821477 Order of pole (three term test) 1.6323120287139607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000000000026205 y[1] (analytic) -15.104037925284336 y[1] (numeric) -15.10403803243628 absolute error 1.0715194420640728e-07 relative error 7.094258153777122e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.38630401156987 Order of pole (three term test) 1.6322997653511688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.410000000002686 y[1] (analytic) -15.091753378610726 y[1] (numeric) -15.091753488450394 absolute error 1.0983966802768919e-07 relative error 7.278125031075779e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.396274171374622 Order of pole (three term test) 1.6322875003963155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200000000027515 y[1] (analytic) -15.079463456248124 y[1] (numeric) -15.079463568775935 absolute error 1.1252781106918519e-07 relative error 7.462321945053003e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.406244337237288 Order of pole (three term test) 1.6322752338484616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.430000000002817 y[1] (analytic) -15.067168157325822 y[1] (numeric) -15.0671682725422 absolute error 1.1521637688360897e-07 relative error 7.646850136705317e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.416214509158819 Order of pole (three term test) 1.632262965710899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400000000028825 y[1] (analytic) -15.054867480973021 y[1] (numeric) -15.054867598878417 absolute error 1.179053956690268e-07 relative error 7.831712621717902e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.426184687141382 Order of pole (three term test) 1.6322506959802228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.450000000002948 y[1] (analytic) -15.042561426318837 y[1] (numeric) -15.042561546913708 absolute error 1.2059487097815236e-07 relative error 8.016910655066803e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.43615487118603 Order of pole (three term test) 1.6322384246585038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600000000030136 y[1] (analytic) -15.030249992492319 y[1] (numeric) -15.03025011577705 absolute error 1.2328473175671206e-07 relative error 8.202440532811721e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.446125061294456 Order of pole (three term test) 1.6322261517450112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.470000000003079 y[1] (analytic) -15.017933178622393 y[1] (numeric) -15.01793330459746 absolute error 1.259750668225479e-07 relative error 8.388309185039514e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.456095257467911 Order of pole (three term test) 1.6322138772406387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800000000031446 y[1] (analytic) -15.005610983837927 y[1] (numeric) -15.00561111250375 absolute error 1.2866582288495465e-07 relative error 8.574514094996636e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.466065459708156 Order of pole (three term test) 1.6322016011446643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.49000000000321 y[1] (analytic) -14.993283407267697 y[1] (numeric) -14.993283538624734 absolute error 1.3135703724742598e-07 relative error 8.761058780744e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.47603566801651 Order of pole (three term test) 1.6321893234577058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000000000032756 y[1] (analytic) -14.980950448040387 y[1] (numeric) -14.98095058208905 absolute error 1.3404866372468405e-07 relative error 8.947941199699953e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.486005882394468 Order of pole (three term test) 1.6321770441796872 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510000000003341 y[1] (analytic) -14.968612105284599 y[1] (numeric) -14.968612242025305 absolute error 1.3674070586944254e-07 relative error 9.135162626144e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.495976102843573 Order of pole (three term test) 1.632164763310618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200000000034066 y[1] (analytic) -14.956268378128852 y[1] (numeric) -14.95626851756206 absolute error 1.3943320809062243e-07 relative error 9.322727071046757e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.505946329365129 Order of pole (three term test) 1.632152480851352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530000000003472 y[1] (analytic) -14.943919265701574 y[1] (numeric) -14.943919407827705 absolute error 1.4212613130837326e-07 relative error 9.510632972607996e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.51591656196108 Order of pole (three term test) 1.6321401968001639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400000000035377 y[1] (analytic) -14.931564767131112 y[1] (numeric) -14.93156491195061 absolute error 1.4481949861533394e-07 relative error 9.698882928474142e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.52588680063245 Order of pole (three term test) 1.632127911158658 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550000000003603 y[1] (analytic) -14.919204881545715 y[1] (numeric) -14.919205029058986 absolute error 1.47513270931654e-07 relative error 9.887475378404402e-07% Correct digits 9 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.535857045380834 Order of pole (three term test) 1.6321156239268393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600000000036687 y[1] (analytic) -14.906839608073566 y[1] (numeric) -14.906839758281054 absolute error 1.5020748733718392e-07 relative error 1.0076414000981893e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.545827296207761 Order of pole (three term test) 1.63210333510444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570000000003734 y[1] (analytic) -14.89446894584274 y[1] (numeric) -14.89446909874494 absolute error 1.5290219934627203e-07 relative error 1.0265703322638383e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.555797553114686 Order of pole (three term test) 1.6320910446918637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5800000000037997 y[1] (analytic) -14.882092893981245 y[1] (numeric) -14.882093049578557 absolute error 1.5559731281200584e-07 relative error 1.045533809797236e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.565767816103083 Order of pole (three term test) 1.6320787526892364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590000000003865 y[1] (analytic) -14.869711451616995 y[1] (numeric) -14.869711609909864 absolute error 1.5829286859059266e-07 relative error 1.0645322143986812e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.575738085174685 Order of pole (three term test) 1.632066459095367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6000000000039307 y[1] (analytic) -14.857324617877808 y[1] (numeric) -14.85732477886666 absolute error 1.6098885247117778e-07 relative error 1.0835655584819087e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.585708360330425 Order of pole (three term test) 1.6320541639127033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6100000000039962 y[1] (analytic) -14.844932391891437 y[1] (numeric) -14.844932555576714 absolute error 1.6368527688825907e-07 relative error 1.1026340340739231e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.595678641572304 Order of pole (three term test) 1.6320418671394246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200000000040617 y[1] (analytic) -14.83253477278552 y[1] (numeric) -14.832534939167669 absolute error 1.6638214894726389e-07 relative error 1.1217377979961927e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.6056489289015605 Order of pole (three term test) 1.6320295687764694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300000000041273 y[1] (analytic) -14.820131759687648 y[1] (numeric) -14.820131928767069 absolute error 1.6907942068655757e-07 relative error 1.1408766361070539e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.6156192223197685 Order of pole (three term test) 1.6320172688234675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6400000000041928 y[1] (analytic) -14.807723351725286 y[1] (numeric) -14.807723523502426 absolute error 1.7177714006777478e-07 relative error 1.1600509814208581e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.625589521828128 Order of pole (three term test) 1.6320049672820747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6500000000042583 y[1] (analytic) -14.795309548025841 y[1] (numeric) -14.795309722501125 absolute error 1.744752839982766e-07 relative error 1.1792607882378311e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.635559827428757 Order of pole (three term test) 1.6319926641493077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660000000004324 y[1] (analytic) -14.782890347716618 y[1] (numeric) -14.782890524890519 absolute error 1.7717390043969772e-07 relative error 1.1985064914390318e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.64553013912256 Order of pole (three term test) 1.6319803594278166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700000000043893 y[1] (analytic) -14.770465749924842 y[1] (numeric) -14.770465929797801 absolute error 1.7987295919397184e-07 relative error 1.2177879982889984e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.655500456911069 Order of pole (three term test) 1.631968053117417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680000000004455 y[1] (analytic) -14.758035753777653 y[1] (numeric) -14.758035936350106 absolute error 1.825724531556716e-07 relative error 1.237105372298194e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.665470780796291 Order of pole (three term test) 1.6319557452162585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900000000045203 y[1] (analytic) -14.745600358402111 y[1] (numeric) -14.745600543674483 absolute error 1.85272371666656e-07 relative error 1.2564586531811636e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.675441110778894 Order of pole (three term test) 1.6319434357278462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700000000004586 y[1] (analytic) -14.733159562925168 y[1] (numeric) -14.733159750897881 absolute error 1.8797271295056817e-07 relative error 1.2758479411543648e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.685411446860912 Order of pole (three term test) 1.6319311246494008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100000000046514 y[1] (analytic) -14.72071336647371 y[1] (numeric) -14.720713557147215 absolute error 1.9067350542911754e-07 relative error 1.2952735419967805e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.695381789043587 Order of pole (three term test) 1.6319188119828494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720000000004717 y[1] (analytic) -14.708261768174536 y[1] (numeric) -14.708261961549244 absolute error 1.9337470824609682e-07 relative error 1.314735291593174e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.705352137328748 Order of pole (three term test) 1.6319064977262072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300000000047824 y[1] (analytic) -14.695804767154346 y[1] (numeric) -14.695804963230717 absolute error 1.960763711394975e-07 relative error 1.3342336418195705e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.715322491717509 Order of pole (three term test) 1.6318941818814328 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.740000000004848 y[1] (analytic) -14.683342362539756 y[1] (numeric) -14.683342561318216 absolute error 1.9877846035853963e-07 relative error 1.3537684775754096e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.725292852211599 Order of pole (three term test) 1.6318818644472926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500000000049134 y[1] (analytic) -14.67087455345732 y[1] (numeric) -14.670874754938307 absolute error 2.0148098656136426e-07 relative error 1.3733399861556548e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.7352632188122525 Order of pole (three term test) 1.6318695454253886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.760000000004979 y[1] (analytic) -14.658401339033471 y[1] (numeric) -14.658401543217401 absolute error 2.0418393020804615e-07 relative error 1.3929481495661476e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.745233591520975 Order of pole (three term test) 1.631857224815232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7700000000050444 y[1] (analytic) -14.645922718394573 y[1] (numeric) -14.645922925281916 absolute error 2.0688734281293364e-07 relative error 1.4125934349844214e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.755203970339613 Order of pole (three term test) 1.6318449026157473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.78000000000511 y[1] (analytic) -14.633438690666914 y[1] (numeric) -14.633438900258122 absolute error 2.0959120838881518e-07 relative error 1.4322758499852173e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.7651743552692185 Order of pole (three term test) 1.6318325788283856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7900000000051755 y[1] (analytic) -14.620949254976676 y[1] (numeric) -14.620949467272155 absolute error 2.122954789740561e-07 relative error 1.4519951835671341e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.775144746311365 Order of pole (three term test) 1.6318202534535173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.800000000005241 y[1] (analytic) -14.608454410449959 y[1] (numeric) -14.608454625450161 absolute error 2.1500020253029106e-07 relative error 1.4717518807225328e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.785115143467691 Order of pole (three term test) 1.631807926489865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100000000053065 y[1] (analytic) -14.595954156212784 y[1] (numeric) -14.595954373918163 absolute error 2.1770537905752008e-07 relative error 1.4915460594595903e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.7950855467397595 Order of pole (three term test) 1.6317955979377257 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820000000005372 y[1] (analytic) -14.583448491391092 y[1] (numeric) -14.58344871180208 absolute error 2.2041098723946106e-07 relative error 1.5113776921115344e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.805055956128408 Order of pole (three term test) 1.631783267799533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300000000054375 y[1] (analytic) -14.570937415110714 y[1] (numeric) -14.570937638227733 absolute error 2.2311701819432983e-07 relative error 1.5312468363425093e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.81502637163573 Order of pole (three term test) 1.631770936073242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840000000005503 y[1] (analytic) -14.558420926497421 y[1] (numeric) -14.558421152320912 absolute error 2.258234914620516e-07 relative error 1.5511537453284913e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.824996793263304 Order of pole (three term test) 1.63175860275798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500000000055685 y[1] (analytic) -14.54589902467688 y[1] (numeric) -14.54589925320726 absolute error 2.285303803972738e-07 relative error 1.5710983556917023e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.83496722101251 Order of pole (three term test) 1.631746267854487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860000000005634 y[1] (analytic) -14.533371708774679 y[1] (numeric) -14.533371940012428 absolute error 2.3123774894884264e-07 relative error 1.5910812272779783e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.844937654884233 Order of pole (three term test) 1.6317339313656467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700000000056995 y[1] (analytic) -14.520838977916322 y[1] (numeric) -14.52083921186184 absolute error 2.3394551895705717e-07 relative error 1.6111019433026407e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.854908094880441 Order of pole (three term test) 1.6317215932893008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880000000005765 y[1] (analytic) -14.508300831227212 y[1] (numeric) -14.50830106788097 absolute error 2.3665375792347731e-07 relative error 1.6311610896164434e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.864878541002874 Order of pole (three term test) 1.6317092536243802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8900000000058306 y[1] (analytic) -14.49575726783269 y[1] (numeric) -14.495757507195087 absolute error 2.393623965701863e-07 relative error 1.651258310604798e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.8748489932525025 Order of pole (three term test) 1.6316969123731053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900000000005896 y[1] (analytic) -14.483208286857995 y[1] (numeric) -14.483208528929499 absolute error 2.4207150417510093e-07 relative error 1.671394206177064e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.884819451631115 Order of pole (three term test) 1.6316845695343143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9100000000059616 y[1] (analytic) -14.470653887428272 y[1] (numeric) -14.470654132209306 absolute error 2.447810345529433e-07 relative error 1.6915685805021065e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.894789916140033 Order of pole (three term test) 1.6316722251087348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920000000006027 y[1] (analytic) -14.458094068668604 y[1] (numeric) -14.458094316159594 absolute error 2.474909894800703e-07 relative error 1.7117815688887746e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.904760386780841 Order of pole (three term test) 1.6316598790962138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300000000060926 y[1] (analytic) -14.445528829703958 y[1] (numeric) -14.445529079905363 absolute error 2.502014044836187e-07 relative error 1.7320335408499285e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.914730863554849 Order of pole (three term test) 1.6316475314973509 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.940000000006158 y[1] (analytic) -14.432958169659246 y[1] (numeric) -14.432958422571515 absolute error 2.529122689054475e-07 relative error 1.7523245472789908e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.924701346463726 Order of pole (three term test) 1.631635182311654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9500000000062236 y[1] (analytic) -14.420382087659275 y[1] (numeric) -14.420382343282819 absolute error 2.5562354366570617e-07 relative error 1.772654442245775e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.934671835508943 Order of pole (three term test) 1.631622831538821 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.960000000006289 y[1] (analytic) -14.407800582828765 y[1] (numeric) -14.407800841164017 absolute error 2.5833525185703365e-07 relative error 1.7930235109230895e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.94464233069183 Order of pole (three term test) 1.631610479180141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700000000063547 y[1] (analytic) -14.395213654292354 y[1] (numeric) -14.395213915339765 absolute error 2.6104741124299835e-07 relative error 1.8134320025542618e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.954612832014038 Order of pole (three term test) 1.6315981252346148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.98000000000642 y[1] (analytic) -14.38262130117459 y[1] (numeric) -14.382621564934624 absolute error 2.6376003425809813e-07 relative error 1.8338801302969548e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.96458333947698 Order of pole (three term test) 1.631585769702721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9900000000064857 y[1] (analytic) -14.370023522599944 y[1] (numeric) -14.370023789073013 absolute error 2.6647306938798465e-07 relative error 1.854367663134988e-06% Correct digits 8 h 1.0e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.974553853081917 Order of pole (three term test) 1.6315734125854209 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = cosh ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 100000 Total Elapsed Time 2 Minutes 8 Seconds Elapsed Time(since restart) 2 Minutes 8 Seconds Time to Timeout 27 Minutes 52.0 Seconds Percent Done 100.00100000065513%