##############ECHO OF PROBLEM################# ##############temp/divpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-5.0 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_h=0.05 $glob_look_poles=true $glob_max_iter=10000000 $glob_display_interval=0.1 $glob_max_minutes=10 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.001 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(2.0 - ln(abs(cos(x)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 opt_iter 1 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 10.0 estimated_steps 10000.0 step_error 1.0e-14 est_needed_step_err 1.0e-14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 value3 4.5374383393035554e-66 max_value3 4.5374383393035554e-66 value3 4.5374383393035554e-66 best_h 0.001 START of Soultion x[1] -5.0 y[1] (analytic) 3.259971236628588 y[1] (numeric) 3.259971236628588 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] -5.0 y[1] (analytic) 3.259971236628588 y[1] (numeric) 3.259971236628588 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.999 y[1] (analytic) 3.263357979616546 y[1] (numeric) 3.2633579796165457 absolute error 4.440892098500626e-16 relative error 1.3608351048947575e-14% Correct digits 15 h 0.001 Real estimate of pole used Radius of convergence 0.2866110196153115 Order of pole 1.5631940186722204e-13 TOP MAIN SOLVE Loop x[1] -4.997999999999999 y[1] (analytic) 3.2667572350261453 y[1] (numeric) 3.2667572350261436 absolute error 1.7763568394002505e-15 relative error 5.4376762997695895e-14% Correct digits 15 h 0.001 Real estimate of pole used Radius of convergence 0.28561101961531254 Order of pole 2.8066438062523957e-13 TOP MAIN SOLVE Loop x[1] -4.996999999999999 y[1] (analytic) 3.2701690882135726 y[1] (numeric) 3.27016908821357 absolute error 2.6645352591003757e-15 relative error 8.148004544180796e-14% Correct digits 15 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.995999999999999 y[1] (analytic) 3.2735936254368765 y[1] (numeric) 3.273593625436872 absolute error 4.440892098500626e-15 relative error 1.3565801399396262e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.2836110196153125 Order of pole 3.304023721284466e-13 TOP MAIN SOLVE Loop x[1] -4.994999999999998 y[1] (analytic) 3.2770309338687014 y[1] (numeric) 3.277030933868696 absolute error 5.329070518200751e-15 relative error 1.6261886523938037e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.28261101961531065 Order of pole 1.9184653865522705e-13 TOP MAIN SOLVE Loop x[1] -4.993999999999998 y[1] (analytic) 3.280481101609259 y[1] (numeric) 3.2804811016092525 absolute error 6.661338147750939e-15 relative error 2.0305979340905763e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.992999999999998 y[1] (analytic) 3.283944217699521 y[1] (numeric) 3.283944217699513 absolute error 7.993605777301127e-15 relative error 2.434147856171818e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.2806110196153084 Order of pole 5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -4.991999999999997 y[1] (analytic) 3.287420372134652 y[1] (numeric) 3.287420372134643 absolute error 8.881784197001252e-15 relative error 2.701748846081999e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.27961101961530804 Order of pole 5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -4.990999999999997 y[1] (analytic) 3.290909655877683 y[1] (numeric) 3.290909655877673 absolute error 9.769962616701378e-15 relative error 2.9687726611552136e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.2786110196153084 Order of pole 1.0302869668521453e-13 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (analytic) 3.2944121608734296 y[1] (numeric) 3.2944121608734185 absolute error 1.1102230246251565e-14 relative error 3.370018596370192e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.2776110196153073 Order of pole 4.263256414560601e-14 TOP MAIN SOLVE Loop x[1] -4.988999999999996 y[1] (analytic) 3.297927980062661 y[1] (numeric) 3.2979279800626484 absolute error 1.2434497875801753e-14 relative error 3.7703970344329647e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.987999999999996 y[1] (analytic) 3.3014572073965267 y[1] (numeric) 3.301457207396513 absolute error 1.3766765505351941e-14 relative error 4.169905784181943e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.2756110196153084 Order of pole 2.0961010704922955e-13 TOP MAIN SOLVE Loop x[1] -4.986999999999996 y[1] (analytic) 3.304999937851245 y[1] (numeric) 3.3049999378512305 absolute error 1.4654943925052066e-14 relative error 4.434173736953235e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.27461101961530626 Order of pole 4.263256414560601e-14 TOP MAIN SOLVE Loop x[1] -4.985999999999995 y[1] (analytic) 3.30855626744306 y[1] (numeric) 3.308556267443044 absolute error 1.5987211554602254e-14 relative error 4.832080902452838e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.27361101961530565 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.984999999999995 y[1] (analytic) 3.31212629324347 y[1] (numeric) 3.3121262932434528 absolute error 1.7319479184152442e-14 relative error 5.229111951281295e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.983999999999995 y[1] (analytic) 3.315710113394739 y[1] (numeric) 3.315710113394721 absolute error 1.8207657603852567e-14 relative error 5.49132975476283e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.982999999999994 y[1] (analytic) 3.319307827125693 y[1] (numeric) 3.3193078271256735 absolute error 1.9539925233402755e-14 relative error 5.886746951795391e-13% Correct digits 14 h 0.001 Complex estimate of poles used Radius of convergence 0.36252098034357155 Order of pole 2.035349666584807e-11 TOP MAIN SOLVE Loop x[1] -4.981999999999994 y[1] (analytic) 3.3229195347678067 y[1] (numeric) 3.3229195347677862 absolute error 2.042810365310288e-14 relative error 6.147637172481313e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.980999999999994 y[1] (analytic) 3.3265453377715932 y[1] (numeric) 3.3265453377715715 absolute error 2.1760371282653068e-14 relative error 6.541432348921491e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.26861101961530437 Order of pole 4.973799150320701e-14 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (analytic) 3.330185338723295 y[1] (numeric) 3.3301853387232723 absolute error 2.2648549702353193e-14 relative error 6.80098775254234e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.26761101961530753 Order of pole 3.872457909892546e-13 TOP MAIN SOLVE Loop x[1] -4.978999999999993 y[1] (analytic) 3.3338396413618914 y[1] (numeric) 3.3338396413618674 absolute error 2.398081733190338e-14 relative error 7.193152614295236e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.977999999999993 y[1] (analytic) 3.337508350596422 y[1] (numeric) 3.3375083505963965 absolute error 2.531308496145357e-14 relative error 7.584425955647437e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.976999999999992 y[1] (analytic) 3.3411915725236385 y[1] (numeric) 3.341191572523612 absolute error 2.6645352591003757e-14 relative error 7.974805398805143e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.975999999999992 y[1] (analytic) 3.344889414445992 y[1] (numeric) 3.3448894144459644 absolute error 2.7533531010703882e-14 relative error 8.231522062221663e-13% Correct digits 14 h 0.001 Real estimate of pole used Radius of convergence 0.26361101961530425 Order of pole 2.0605739337042905e-13 TOP MAIN SOLVE Loop x[1] -4.974999999999992 y[1] (analytic) 3.34860198488996 y[1] (numeric) 3.3486019848899313 absolute error 2.886579864025407e-14 relative error 8.620253697067148e-13% Correct digits 14 h 0.001 NO POLE TOP MAIN SOLVE Loop x[1] -4.973999999999991 y[1] (analytic) 3.352329393624723 y[1] (numeric) 3.3523293936246934 absolute error 2.9753977059954195e-14 relative error 8.875612616271743e-13% Correct digits 14 h 0.001 Complex estimate of poles used Radius of convergence 0.05406789131347136 Order of pole 1.573852159708622e-11 TOP MAIN SOLVE Loop x[1] -4.972918642173722 y[1] (analytic) 3.356376882813992 y[1] (numeric) 3.3563768828139633 absolute error 2.886579864025407e-14 relative error 8.600285262378799e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.971837284347453 y[1] (analytic) 3.36044199486785 y[1] (numeric) 3.3604419948678226 absolute error 2.7533531010703882e-14 relative error 8.193425463898431e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.970755926521184 y[1] (analytic) 3.3645248736494358 y[1] (numeric) 3.364524873649409 absolute error 2.6645352591003757e-14 relative error 7.919499362209218e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.969674568694915 y[1] (analytic) 3.3686256648328 y[1] (numeric) 3.368625664832774 absolute error 2.6201263381153694e-14 relative error 7.778027595848701e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.25728558831022613 Order of pole 1.4210854715202004e-13 TOP MAIN SOLVE Loop x[1] -4.9685932108686455 y[1] (analytic) 3.372744515933411 y[1] (numeric) 3.3727445159333858 absolute error 2.531308496145357e-14 relative error 7.505188976476074e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.967511853042376 y[1] (analytic) 3.3768815763393056 y[1] (numeric) 3.376881576339281 absolute error 2.4424906541753444e-14 relative error 7.23297693140639e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.25512287265768896 Order of pole 2.5579538487363607e-13 TOP MAIN SOLVE Loop x[1] -4.966971174129242 y[1] (analytic) 3.3789569822353407 y[1] (numeric) 3.378956982235317 absolute error 2.353672812205332e-14 relative error 6.965678535061625e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.9658898163029725 y[1] (analytic) 3.3831216408764284 y[1] (numeric) 3.3831216408764058 absolute error 2.2648549702353193e-14 relative error 6.694571495361864e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.964808458476703 y[1] (analytic) 3.3873048906958214 y[1] (numeric) 3.3873048906958 absolute error 2.1316282072803006e-14 relative error 6.292991850646255e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.963727100650434 y[1] (analytic) 3.391506887890565 y[1] (numeric) 3.3915068878905443 absolute error 2.0872192862952943e-14 relative error 6.154253419763785e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.962645742824165 y[1] (analytic) 3.3957277906788867 y[1] (numeric) 3.395727790678867 absolute error 1.9539925233402755e-14 relative error 5.754267255178384e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.961564384997896 y[1] (analytic) 3.3999677593352047 y[1] (numeric) 3.399967759335186 absolute error 1.865174681370263e-14 relative error 5.485859906315584e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.2491754046132081 Order of pole 2.1316282072803006e-13 TOP MAIN SOLVE Loop x[1] -4.960483027171627 y[1] (analytic) 3.4042269562258936 y[1] (numeric) 3.4042269562258762 absolute error 1.7319479184152442e-14 relative error 5.087639398565169e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.959942348258492 y[1] (analytic) 3.406363816579617 y[1] (numeric) 3.4063638165796 absolute error 1.687538997430238e-14 relative error 4.954077392486872e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.958860990432223 y[1] (analytic) 3.410652164925115 y[1] (numeric) 3.410652164925099 absolute error 1.5987211554602254e-14 relative error 4.687435358848231e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.2464720100475363 Order of pole 3.304023721284466e-13 TOP MAIN SOLVE Loop x[1] -4.957779632605954 y[1] (analytic) 3.4149601568150674 y[1] (numeric) 3.4149601568150527 absolute error 1.4654943925052066e-14 relative error 4.291395287820831e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.24539065222126755 Order of pole 3.765876499528531e-13 TOP MAIN SOLVE Loop x[1] -4.956698274779685 y[1] (analytic) 3.4192879622308383 y[1] (numeric) 3.4192879622308245 absolute error 1.3766765505351941e-14 relative error 4.0262082800332855e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.24430929439499494 Order of pole 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -4.955616916953415 y[1] (analytic) 3.423635753416674 y[1] (numeric) 3.4236357534166615 absolute error 1.2434497875801753e-14 relative error 3.6319570104362127e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.954535559127146 y[1] (analytic) 3.428003704920032 y[1] (numeric) 3.428003704920021 absolute error 1.1102230246251565e-14 relative error 3.238686769888003e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.953994880214012 y[1] (analytic) 3.430195295976775 y[1] (numeric) 3.4301952959767643 absolute error 1.0658141036401503e-14 relative error 3.10715283438884e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.9529135223877425 y[1] (analytic) 3.4345938203728688 y[1] (numeric) 3.4345938203728594 absolute error 9.325873406851315e-15 relative error 2.715276942366033e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.951832164561473 y[1] (analytic) 3.4390129518045427 y[1] (numeric) 3.4390129518045343 absolute error 8.43769498715119e-15 relative error 2.4535223057894285e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.23944318417678379 Order of pole 3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -4.950750806735204 y[1] (analytic) 3.4434528732113296 y[1] (numeric) 3.4434528732113225 absolute error 7.105427357601002e-15 relative error 2.0634600266721674e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.949669448908935 y[1] (analytic) 3.447913770028979 y[1] (numeric) 3.447913770028973 absolute error 6.217248937900877e-15 relative error 1.8031915391690964e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.23728046852424634 Order of pole 1.2789769243681803e-13 TOP MAIN SOLVE Loop x[1] -4.948588091082666 y[1] (analytic) 3.4523958302350595 y[1] (numeric) 3.4523958302350546 absolute error 4.884981308350689e-15 relative error 1.4149540054386204e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.947506733256397 y[1] (analytic) 3.456899244395612 y[1] (numeric) 3.4568992443956077 absolute error 4.440892098500626e-15 relative error 1.284646090192036e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.946966054343262 y[1] (analytic) 3.45915901948021 y[1] (numeric) 3.4591590194802064 absolute error 3.552713678800501e-15 relative error 1.0270454925007608e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.945884696516993 y[1] (analytic) 3.4636948276637978 y[1] (numeric) 3.4636948276637956 absolute error 2.220446049250313e-15 relative error 6.410628417711861e-14% Correct digits 15 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.944803338690724 y[1] (analytic) 3.46825247785745 y[1] (numeric) 3.4682524778574493 absolute error 8.881784197001252e-16 relative error 2.560881669862763e-14% Correct digits 15 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.943721980864455 y[1] (analytic) 3.472832170070029 y[1] (numeric) 3.4728321700700295 absolute error 4.440892098500626e-16 relative error 1.2787522923721006e-14% Correct digits 15 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.942640623038185 y[1] (analytic) 3.477434107122545 y[1] (numeric) 3.477434107122547 absolute error 1.7763568394002505e-15 relative error 5.108240112334216e-14% Correct digits 15 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.941559265211916 y[1] (analytic) 3.482058494701106 y[1] (numeric) 3.482058494701109 absolute error 2.6645352591003757e-15 relative error 7.652184083510333e-14% Correct digits 15 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.940477907385647 y[1] (analytic) 3.486705541411116 y[1] (numeric) 3.4867055414111197 absolute error 3.552713678800501e-15 relative error 1.018931377085164e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.9399372284725125 y[1] (analytic) 3.489037627941478 y[1] (numeric) 3.489037627941482 absolute error 3.9968028886505635e-15 relative error 1.1455316092445427e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.22754824808782323 Order of pole 7.460698725481052e-14 TOP MAIN SOLVE Loop x[1] -4.938855870646243 y[1] (analytic) 3.493719061006643 y[1] (numeric) 3.493719061006648 absolute error 5.329070518200751e-15 relative error 1.5253288616358552e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.937774512819974 y[1] (analytic) 3.4984236878561177 y[1] (numeric) 3.498423687856125 absolute error 7.105427357601002e-15 relative error 2.0310368301774522e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.936693154993705 y[1] (analytic) 3.503151727758619 y[1] (numeric) 3.503151727758627 absolute error 7.993605777301127e-15 relative error 2.2818325891969236e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.22430417460901558 Order of pole 5.684341886080802e-14 TOP MAIN SOLVE Loop x[1] -4.935611797167436 y[1] (analytic) 3.5079034031625476 y[1] (numeric) 3.507903403162557 absolute error 9.325873406851315e-15 relative error 2.6585319876378524e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.934530439341167 y[1] (analytic) 3.512678939757752 y[1] (numeric) 3.512678939757762 absolute error 1.021405182655144e-14 relative error 2.9077669783438397e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.933989760428032 y[1] (analytic) 3.51507572743203 y[1] (numeric) 3.5150757274320408 absolute error 1.0658141036401503e-14 relative error 3.0321227372782386e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.932908402601763 y[1] (analytic) 3.5198874862293508 y[1] (numeric) 3.5198874862293628 absolute error 1.199040866595169e-14 relative error 3.4064749833229225e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.931827044775494 y[1] (analytic) 3.5247236850429084 y[1] (numeric) 3.5247236850429218 absolute error 1.3322676295501878e-14 relative error 3.7797789233908965e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.9307456869492245 y[1] (analytic) 3.529584561416131 y[1] (numeric) 3.529584561416146 absolute error 1.4654943925052066e-14 relative error 4.1520308325386164e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.21835670656453793 Order of pole 3.765876499528531e-13 TOP MAIN SOLVE Loop x[1] -4.929664329122955 y[1] (analytic) 3.534470356431113 y[1] (numeric) 3.5344703564311284 absolute error 1.554312234475219e-14 relative error 4.397581752658032e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.928582971296686 y[1] (analytic) 3.5393813147792326 y[1] (numeric) 3.5393813147792494 absolute error 1.687538997430238e-14 relative error 4.767892598583991e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.927501613470417 y[1] (analytic) 3.5443176848335463 y[1] (numeric) 3.544317684833564 absolute error 1.7763568394002505e-14 relative error 5.011844302223362e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.9269609345572825 y[1] (analytic) 3.5467954778920388 y[1] (numeric) 3.546795477892057 absolute error 1.8207657603852567e-14 relative error 5.133551600971899e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.925879576731013 y[1] (analytic) 3.5517704394418828 y[1] (numeric) 3.5517704394419023 absolute error 1.9539925233402755e-14 relative error 5.501460628315048e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.21349059634632414 Order of pole 8.881784197001252e-14 TOP MAIN SOLVE Loop x[1] -4.924798218904744 y[1] (analytic) 3.5567714502295544 y[1] (numeric) 3.5567714502295753 absolute error 2.0872192862952943e-14 relative error 5.868297458810813e-13% Correct digits 14 h 0.0005406789131347136 Real estimate of pole used Radius of convergence 0.21240923852005644 Order of pole 2.6645352591003757e-13 TOP MAIN SOLVE Loop x[1] -4.923716861078475 y[1] (analytic) 3.5617987721108806 y[1] (numeric) 3.561798772110903 absolute error 2.220446049250313e-14 relative error 6.234058101868506e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.922635503252206 y[1] (analytic) 3.566852670972509 y[1] (numeric) 3.566852670972532 absolute error 2.3092638912203256e-14 relative error 6.474234021532211e-13% Correct digits 14 h 0.0005406789131347136 NO POLE TOP MAIN SOLVE Loop x[1] -4.921713237495387 y[1] (analytic) 3.5711842298489307 y[1] (numeric) 3.5711842298489533 absolute error 2.2648549702353193e-14 relative error 6.342027810565035e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.92095006380802 y[1] (analytic) 3.5747834760358117 y[1] (numeric) 3.574783476035833 absolute error 2.1316282072803006e-14 relative error 5.962957537344693e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.2085610834233308 Order of pole 1.1368683772161603e-13 TOP MAIN SOLVE Loop x[1] -4.919805303276968 y[1] (analytic) 3.580207849670331 y[1] (numeric) 3.5802078496703498 absolute error 1.865174681370263e-14 relative error 5.20968267678093e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.918660542745917 y[1] (analytic) 3.585663125328047 y[1] (numeric) 3.5856631253280624 absolute error 1.554312234475219e-14 relative error 4.334797163448023e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.917897369058549 y[1] (analytic) 3.589317310736366 y[1] (numeric) 3.5893173107363787 absolute error 1.2878587085651816e-14 relative error 3.588032478245762e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.9167526085274975 y[1] (analytic) 3.5948248459262606 y[1] (numeric) 3.594824845926271 absolute error 1.021405182655144e-14 relative error 2.8413211392277547e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.20436362814280853 Order of pole 1.1013412404281553e-13 TOP MAIN SOLVE Loop x[1] -4.91598943484013 y[1] (analytic) 3.598514191384492 y[1] (numeric) 3.5985141913845 absolute error 7.993605777301127e-15 relative error 2.2213628603825703e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.914844674309078 y[1] (analytic) 3.604074954405121 y[1] (numeric) 3.6040749544051263 absolute error 5.329070518200751e-15 relative error 1.4786236650509267e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.913699913778027 y[1] (analytic) 3.6096681303299825 y[1] (numeric) 3.609668130329985 absolute error 2.6645352591003757e-15 relative error 7.381662698328985e-14% Correct digits 15 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.20131093339333783 Order of pole 1.0658141036401503e-13 TOP MAIN SOLVE Loop x[1] -4.912936740090659 y[1] (analytic) 3.6134151012533393 y[1] (numeric) 3.61341510125334 absolute error 8.881784197001252e-16 relative error 2.4580027337353355e-14% Correct digits 15 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.20054775970596947 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.911791979559608 y[1] (analytic) 3.619063112052915 y[1] (numeric) 3.6190631120529133 absolute error 1.7763568394002505e-15 relative error 4.908333412269816e-14% Correct digits 15 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.19940299917491938 Order of pole 2.0250467969162855e-13 TOP MAIN SOLVE Loop x[1] -4.910647219028556 y[1] (analytic) 3.624744522102027 y[1] (numeric) 3.6247445221020222 absolute error 4.884981308350689e-15 relative error 1.3476760302869116e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.19825823864386746 Order of pole 1.4921397450962104e-13 TOP MAIN SOLVE Loop x[1] -4.9098840453411885 y[1] (analytic) 3.6285508721514357 y[1] (numeric) 3.6285508721514286 absolute error 7.105427357601002e-15 relative error 1.958199735363793e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.908739284810137 y[1] (analytic) 3.6342887990828374 y[1] (numeric) 3.634288799082827 absolute error 1.021405182655144e-14 relative error 2.8104678497562154e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.907976111122769 y[1] (analytic) 3.6381331880370418 y[1] (numeric) 3.638133188037029 absolute error 1.2878587085651816e-14 relative error 3.539888844091623e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.19558713073808007 Order of pole 7.460698725481052e-14 TOP MAIN SOLVE Loop x[1] -4.906831350591718 y[1] (analytic) 3.64392872326148 y[1] (numeric) 3.6439287232614643 absolute error 1.554312234475219e-14 relative error 4.265484735069241e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.19444237020702868 Order of pole 9.592326932761353e-14 TOP MAIN SOLVE Loop x[1] -4.905686590060666 y[1] (analytic) 3.6497593607455254 y[1] (numeric) 3.6497593607455068 absolute error 1.865174681370263e-14 relative error 5.110404541819626e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.904923416373299 y[1] (analytic) 3.6536661566836353 y[1] (numeric) 3.6536661566836144 absolute error 2.0872192862952943e-14 relative error 5.71267104542968e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.19253443598860936 Order of pole 7.815970093361102e-14 TOP MAIN SOLVE Loop x[1] -4.903778655842247 y[1] (analytic) 3.659556216550529 y[1] (numeric) 3.6595562165505044 absolute error 2.4424906541753444e-14 relative error 6.674281004699577e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.902633895311196 y[1] (analytic) 3.6654824931431387 y[1] (numeric) 3.665482493143111 absolute error 2.7533531010703882e-14 relative error 7.511570731059194e-13% Correct digits 14 h 0.00038158684368362963 Complex estimate of poles used Radius of convergence 0.06281736254308154 Order of pole 3.927702607597894e-11 TOP MAIN SOLVE Loop x[1] -4.901870721623828 y[1] (analytic) 3.669453677532101 y[1] (numeric) 3.6694536775320716 absolute error 2.930988785010413e-14 relative error 7.987534501271198e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.9007259610927765 y[1] (analytic) 3.6754412788171824 y[1] (numeric) 3.6754412788171495 absolute error 3.2862601528904634e-14 relative error 8.941130883603821e-13% Correct digits 14 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.899962787405409 y[1] (analytic) 3.6794537551062763 y[1] (numeric) 3.679453755106241 absolute error 3.5083047578154947e-14 relative error 9.534852158276853e-13% Correct digits 14 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.18757380702072024 Order of pole 1.7763568394002505e-13 TOP MAIN SOLVE Loop x[1] -4.898818026874357 y[1] (analytic) 3.685503917389859 y[1] (numeric) 3.6855039173898207 absolute error 3.8191672047105385e-14 relative error 1.0362673030111287e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.18642904648966924 Order of pole 2.4868995751603507e-13 TOP MAIN SOLVE Loop x[1] -4.897673266343306 y[1] (analytic) 3.6915922255403797 y[1] (numeric) 3.6915922255403384 absolute error 4.1300296516055823e-14 relative error 1.1187664832079398e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.896910092655938 y[1] (analytic) 3.695672520214801 y[1] (numeric) 3.6956725202147576 absolute error 4.3520742565306136e-14 relative error 1.1776136096273111e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.18452111227124937 Order of pole 1.4921397450962104e-13 TOP MAIN SOLVE Loop x[1] -4.895765332124887 y[1] (analytic) 3.7018254476439965 y[1] (numeric) 3.70182544764395 absolute error 4.6629367034256575e-14 relative error 1.2596317058637528e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1833763517401973 Order of pole 7.460698725481052e-14 TOP MAIN SOLVE Loop x[1] -4.894620571593835 y[1] (analytic) 3.708017786709407 y[1] (numeric) 3.7080177867093567 absolute error 5.0182080713057076e-14 relative error 1.353339805783132e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.8938573979064675 y[1] (analytic) 3.7121681502653345 y[1] (numeric) 3.7121681502652817 absolute error 5.284661597215745e-14 relative error 1.423605123285704e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.892712637375416 y[1] (analytic) 3.718427271430065 y[1] (numeric) 3.718427271430009 absolute error 5.595524044110789e-14 relative error 1.5048093281541618e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1803236569907261 Order of pole 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -4.891949463688048 y[1] (analytic) 3.72262262176608 y[1] (numeric) 3.722622621766021 absolute error 5.861977570020827e-14 relative error 1.5746902562043203e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.890804703156997 y[1] (analytic) 3.7289499330538303 y[1] (numeric) 3.7289499330537685 absolute error 6.17284001691587e-14 relative error 1.6553829168364865e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.17841572277230872 Order of pole 2.5934809855243657e-13 TOP MAIN SOLVE Loop x[1] -4.889659942625945 y[1] (analytic) 3.7353188531205324 y[1] (numeric) 3.735318853120467 absolute error 6.52811138479592e-14 relative error 1.7476717896096753e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.17727096224125719 Order of pole 2.5934809855243657e-13 TOP MAIN SOLVE Loop x[1] -4.888896768938578 y[1] (analytic) 3.739588178804424 y[1] (numeric) 3.739588178804356 absolute error 6.794564910705958e-14 relative error 1.8169286525229722e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.887752008407526 y[1] (analytic) 3.7460276373276344 y[1] (numeric) 3.7460276373275634 absolute error 7.105427357601002e-14 relative error 1.8967898919907377e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.17536302802283715 Order of pole 1.2789769243681803e-13 TOP MAIN SOLVE Loop x[1] -4.886988834720158 y[1] (analytic) 3.7503444944016504 y[1] (numeric) 3.750344494401577 absolute error 7.327471962526033e-14 relative error 1.9538130359662055e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.17459985433546868 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.885844074189107 y[1] (analytic) 3.7568560219187432 y[1] (numeric) 3.756856021918667 absolute error 7.638334409421077e-14 relative error 2.0331719833968888e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.17345509380441715 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.884699313658055 y[1] (analytic) 3.76341154657221 y[1] (numeric) 3.7634115465721303 absolute error 7.993605777301127e-14 relative error 2.1240317935947936e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.883936139970688 y[1] (analytic) 3.7678066254625837 y[1] (numeric) 3.767806625462501 absolute error 8.260059303211165e-14 relative error 2.192272620200368e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.882791379439636 y[1] (analytic) 3.7744367747918037 y[1] (numeric) 3.7744367747917176 absolute error 8.615330671091215e-14 relative error 2.2825473534568434e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1704023990549481 Order of pole 2.5934809855243657e-13 TOP MAIN SOLVE Loop x[1] -4.881646618908585 y[1] (analytic) 3.7811124958179514 y[1] (numeric) 3.7811124958178617 absolute error 8.970602038971265e-14 relative error 2.37247689638779e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.16925763852389586 Order of pole 1.4921397450962104e-13 TOP MAIN SOLVE Loop x[1] -4.880883445221217 y[1] (analytic) 3.7855885960883087 y[1] (numeric) 3.7855885960882167 absolute error 9.192646643896296e-14 relative error 2.428326906255783e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.879738684690166 y[1] (analytic) 3.7923416373340433 y[1] (numeric) 3.792341637333948 absolute error 9.547918011776346e-14 relative error 2.5176840392703605e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1673497043054766 Order of pole 1.3855583347321954e-13 TOP MAIN SOLVE Loop x[1] -4.878975511002798 y[1] (analytic) 3.796869865855699 y[1] (numeric) 3.7968698658556015 absolute error 9.769962616701378e-14 relative error 2.5731623579096578e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.877830750471746 y[1] (analytic) 3.8037019876381866 y[1] (numeric) 3.803701987638085 absolute error 1.0169642905566434e-13 relative error 2.6736171599713097e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.876685989940695 y[1] (analytic) 3.810582428120302 y[1] (numeric) 3.8105824281201968 absolute error 1.0524914273446484e-13 relative error 2.7620224655888764e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.875922816253327 y[1] (analytic) 3.8151965622132713 y[1] (numeric) 3.8151965622131643 absolute error 1.0702549957386509e-13 relative error 2.8052420846116895e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.874778055722276 y[1] (analytic) 3.8221590286523552 y[1] (numeric) 3.822159028652245 absolute error 1.1013412404281553e-13 relative error 2.8814636758232275e-12% Correct digits 13 h 0.00038158684368362963 Complex estimate of poles used Radius of convergence 0.0553206069224406 Order of pole 1.644906433284632e-11 TOP MAIN SOLVE Loop x[1] -4.873633295191224 y[1] (analytic) 3.829171630806628 y[1] (numeric) 3.829171630806514 absolute error 1.141309269314661e-13 relative error 2.9805644127637088e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.16124431480653476 Order of pole 6.039613253960852e-14 TOP MAIN SOLVE Loop x[1] -4.872870121503857 y[1] (analytic) 3.833874901158637 y[1] (numeric) 3.83387490115852 absolute error 1.1679546219056647e-13 relative error 3.046407751991847e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.16048114111916814 Order of pole 2.3092638912203256e-13 TOP MAIN SOLVE Loop x[1] -4.871725360972805 y[1] (analytic) 3.840972643984168 y[1] (numeric) 3.8409726439840473 absolute error 1.2079226507921703e-13 relative error 3.1448353392572332e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.870962187285437 y[1] (analytic) 3.845733347793718 y[1] (numeric) 3.845733347793595 absolute error 1.2301271112846734e-13 relative error 3.198680199682572e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.15857320690075 Order of pole 4.050093593832571e-13 TOP MAIN SOLVE Loop x[1] -4.869817426754386 y[1] (analytic) 3.8529182697803 y[1] (numeric) 3.852918269780173 absolute error 1.270095140171179e-13 relative error 3.2964497330061507e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.868672666223334 y[1] (analytic) 3.8601565086855905 y[1] (numeric) 3.86015650868546 absolute error 1.305622276959184e-13 relative error 3.382303992134654e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.867909492535967 y[1] (analytic) 3.8650120050329373 y[1] (numeric) 3.865012005032804 absolute error 1.3322676295501878e-13 relative error 3.4469948031606034e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.866764732004915 y[1] (analytic) 3.8723408417042178 y[1] (numeric) 3.872340841704081 absolute error 1.3677947663381929e-13 relative error 3.5322168741123163e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.865619971473864 y[1] (analytic) 3.8797251072082295 y[1] (numeric) 3.879725107208088 absolute error 1.4166445794216997e-13 relative error 3.651404520360692e-12% Correct digits 13 h 0.00038158684368362963 Complex estimate of poles used Radius of convergence 0.05312756862656334 Order of pole 5.860201213181426e-12 TOP MAIN SOLVE Loop x[1] -4.864856797786496 y[1] (analytic) 3.8846791511697694 y[1] (numeric) 3.8846791511696255 absolute error 1.438849039914203e-13 relative error 3.703907025322622e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.15246781740180626 Order of pole 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -4.8637120372554445 y[1] (analytic) 3.8921576399375155 y[1] (numeric) 3.8921576399373676 absolute error 1.4788170688007085e-13 relative error 3.799478863925073e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.862948863568077 y[1] (analytic) 3.897175284272806 y[1] (numeric) 3.8971752842726555 absolute error 1.5054624213917123e-13 relative error 3.86295794153027e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.861804103037025 y[1] (analytic) 3.904750374801202 y[1] (numeric) 3.904750374801048 absolute error 1.5409895581797173e-13 relative error 3.9464483264392335e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.860659342505974 y[1] (analytic) 3.912384606116904 y[1] (numeric) 3.912384606116746 absolute error 1.580957587066223e-13 relative error 4.040905346050181e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.14827036212128533 Order of pole 2.2737367544323206e-13 TOP MAIN SOLVE Loop x[1] -4.859896168818606 y[1] (analytic) 3.91750739813894 y[1] (numeric) 3.9175073981387794 absolute error 1.6076029396572267e-13 relative error 4.103637278185966e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.14750718843391683 Order of pole 8.526512829121202e-14 TOP MAIN SOLVE Loop x[1] -4.858751408287555 y[1] (analytic) 3.9252422300370178 y[1] (numeric) 3.925242230036853 absolute error 1.6475709685437323e-13 relative error 4.1973740013700876e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.857988234600187 y[1] (analytic) 3.9304329559031492 y[1] (numeric) 3.930432955902982 absolute error 1.674216321134736e-13 relative error 4.259623150727497e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1455992542154975 Order of pole 6.394884621840902e-14 TOP MAIN SOLVE Loop x[1] -4.8568434740691355 y[1] (analytic) 3.9382710160498093 y[1] (numeric) 3.938271016049638 absolute error 1.7141843500212417e-13 relative error 4.3526317590520075e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.855698713538084 y[1] (analytic) 3.9461723179133017 y[1] (numeric) 3.946172317913126 absolute error 1.758593271006248e-13 relative error 4.4564533155920956e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.14330973315339487 Order of pole 1.2434497875801753e-13 TOP MAIN SOLVE Loop x[1] -4.854935539850716 y[1] (analytic) 3.9514754832380974 y[1] (numeric) 3.9514754832379193 absolute error 1.780797731498751e-13 relative error 4.506665267323003e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.14254655946602676 Order of pole 5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -4.853790779319665 y[1] (analytic) 3.9594844385621766 y[1] (numeric) 3.959484438561994 absolute error 1.8252066524837574e-13 relative error 4.6097078566788155e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.852646018788613 y[1] (analytic) 3.9675593765723267 y[1] (numeric) 3.9675593765721393 absolute error 1.8740564655672642e-13 relative error 4.723449072074904e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.851882845101246 y[1] (analytic) 3.972979855058771 y[1] (numeric) 3.9729798550585813 absolute error 1.8962609260597674e-13 relative error 4.772893382898154e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.13949386471655872 Order of pole 5.293543381412746e-13 TOP MAIN SOLVE Loop x[1] -4.850738084570194 y[1] (analytic) 3.9811671646602624 y[1] (numeric) 3.9811671646600684 absolute error 1.9406698470447736e-13 relative error 4.874625371854695e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.8499749108828265 y[1] (analytic) 3.9866635825536303 y[1] (numeric) 3.9866635825534327 absolute error 1.9761969838327786e-13 relative error 4.957019680519266e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.13758593049813816 Order of pole 2.8421709430404007e-13 TOP MAIN SOLVE Loop x[1] -4.848830150351775 y[1] (analytic) 3.994966372949027 y[1] (numeric) 3.994966372948825 absolute error 2.020605904817785e-13 relative error 5.0578796319784854e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.8476853898207235 y[1] (analytic) 4.003339998729881 y[1] (numeric) 4.003339998729675 absolute error 2.0605739337042905e-13 relative error 5.147136976519701e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.13529640943603433 Order of pole 1.3145040611561853e-13 TOP MAIN SOLVE Loop x[1] -4.846922216133356 y[1] (analytic) 4.008962358435165 y[1] (numeric) 4.008962358434955 absolute error 2.0961010704922955e-13 relative error 5.228537669060269e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.845777455602304 y[1] (analytic) 4.017456716850145 y[1] (numeric) 4.01745671684993 absolute error 2.149391775674303e-13 relative error 5.350130510826055e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.13338847521761607 Order of pole 3.055333763768431e-13 TOP MAIN SOLVE Loop x[1] -4.844632695071253 y[1] (analytic) 4.0260251697415805 y[1] (numeric) 4.026025169741361 absolute error 2.1938006966593093e-13 relative error 5.449048637716598e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.843869521383885 y[1] (analytic) 4.031779266357764 y[1] (numeric) 4.031779266357541 absolute error 2.2293278334473143e-13 relative error 5.529389597415259e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.842724760852834 y[1] (analytic) 4.040474072726511 y[1] (numeric) 4.0404740727262825 absolute error 2.282618538629322e-13 relative error 5.6493829623537506e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.841961587165466 y[1] (analytic) 4.046313629205468 y[1] (numeric) 4.046313629205237 absolute error 2.3092638912203256e-13 relative error 5.70708082179426e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.8408168266344145 y[1] (analytic) 4.055138505016401 y[1] (numeric) 4.055138505016164 absolute error 2.362554596402333e-13 relative error 5.826076207951319e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.12842784624972461 Order of pole 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -4.839672066103363 y[1] (analytic) 4.064043275363265 y[1] (numeric) 4.064043275363025 absolute error 2.4069635173873394e-13 relative error 5.9225833838400565e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.1272830857186744 Order of pole 2.5934809855243657e-13 TOP MAIN SOLVE Loop x[1] -4.838908892415995 y[1] (analytic) 4.0700248821631355 y[1] (numeric) 4.070024882162892 absolute error 2.433608869978343e-13 relative error 5.979346417864968e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.837764131884944 y[1] (analytic) 4.0790660198239586 y[1] (numeric) 4.07906601982371 absolute error 2.4868995751603507e-13 relative error 6.096737741125549e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.836619371353892 y[1] (analytic) 4.088190968500548 y[1] (numeric) 4.088190968500295 absolute error 2.531308496145357e-13 relative error 6.191756979184808e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.835856197666525 y[1] (analytic) 4.094321589827081 y[1] (numeric) 4.094321589826824 absolute error 2.575717417130363e-13 relative error 6.290950431275589e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.834711437135473 y[1] (analytic) 4.1035896751679815 y[1] (numeric) 4.1035896751677186 absolute error 2.6290081223123707e-13 relative error 6.406605753546135e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.8339482634481055 y[1] (analytic) 4.109817199493904 y[1] (numeric) 4.109817199493638 absolute error 2.6556534749033744e-13 relative error 6.461731376350268e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.832803502917054 y[1] (analytic) 4.119232912957969 y[1] (numeric) 4.119232912957697 absolute error 2.717825964282383e-13 relative error 6.597893398386999e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.12041452253236491 Order of pole 1.7053025658242404e-13 TOP MAIN SOLVE Loop x[1] -4.8316587423860025 y[1] (analytic) 4.128739448439893 y[1] (numeric) 4.128739448439616 absolute error 2.7711166694643907e-13 relative error 6.711774148188255e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.830895568698635 y[1] (analytic) 4.135128454304759 y[1] (numeric) 4.135128454304478 absolute error 2.8066438062523957e-13 relative error 6.7873195168353674e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.11850658831394499 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.829750808167583 y[1] (analytic) 4.144790259125538 y[1] (numeric) 4.144790259125252 absolute error 2.859934511434403e-13 relative error 6.900070528629808e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.828987634480216 y[1] (analytic) 4.1512844501331125 y[1] (numeric) 4.151284450132823 absolute error 2.8954616482224083e-13 relative error 6.9748572592503604e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.827842873949164 y[1] (analytic) 4.161106606830083 y[1] (numeric) 4.161106606829788 absolute error 2.948752353404416e-13 relative error 7.0864619247300786e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.11545389356447452 Order of pole 6.394884621840902e-14 TOP MAIN SOLVE Loop x[1] -4.826698113418113 y[1] (analytic) 4.171027519619582 y[1] (numeric) 4.171027519619281 absolute error 3.0020430585864233e-13 relative error 7.197370538711345e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.825934939730745 y[1] (analytic) 4.177697300885306 y[1] (numeric) 4.177697300885003 absolute error 3.028688411177427e-13 relative error 7.249659783957086e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.824790179199693 y[1] (analytic) 4.187787235030591 y[1] (numeric) 4.1877872350302825 absolute error 3.0819791163594346e-13 relative error 7.359445318947589e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.11240119881500393 Order of pole 8.171241461241152e-14 TOP MAIN SOLVE Loop x[1] -4.823645418668642 y[1] (analytic) 4.197981338434324 y[1] (numeric) 4.19798133843401 absolute error 3.135269821541442e-13 relative error 7.468517767901203e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.11125643828395246 Order of pole 8.881784197001252e-14 TOP MAIN SOLVE Loop x[1] -4.822882244981274 y[1] (analytic) 4.204836336065494 y[1] (numeric) 4.204836336065177 absolute error 3.170796958329447e-13 relative error 7.540833233229697e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.821737484450223 y[1] (analytic) 4.215208856311694 y[1] (numeric) 4.215208856311371 absolute error 3.232969447708456e-13 relative error 7.66977285803414e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10934850406553294 Order of pole 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -4.820974310762855 y[1] (analytic) 4.222184861917745 y[1] (numeric) 4.222184861917417 absolute error 3.277378368693462e-13 relative error 7.762280610339868e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.819829550231804 y[1] (analytic) 4.232742076423424 y[1] (numeric) 4.232742076423091 absolute error 3.3306690738754696e-13 relative error 7.868821236303189e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10744056984711482 Order of pole 2.5934809855243657e-13 TOP MAIN SOLVE Loop x[1] -4.818684789700752 y[1] (analytic) 4.243413260517478 y[1] (numeric) 4.24341326051714 absolute error 3.383959779057477e-13 relative error 7.974617533821838e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10629580931606236 Order of pole 2.842170943040401e-14 TOP MAIN SOLVE Loop x[1] -4.817921616013384 y[1] (analytic) 4.250591910556492 y[1] (numeric) 4.25059191055615 absolute error 3.4283687000424834e-13 relative error 8.065626557863649e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.816776855482333 y[1] (analytic) 4.261458547395888 y[1] (numeric) 4.26145854739554 absolute error 3.481659405224491e-13 relative error 8.170112102468014e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10438787509764388 Order of pole 1.9184653865522705e-13 TOP MAIN SOLVE Loop x[1] -4.815632094951281 y[1] (analytic) 4.27244589145659 y[1] (numeric) 4.272445891456235 absolute error 3.5438318946034997e-13 relative error 8.294620890787487e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.814868921263914 y[1] (analytic) 4.279839167833282 y[1] (numeric) 4.2798391678329235 absolute error 3.588240815588506e-13 relative error 8.384055276089017e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10247994087922453 Order of pole 1.6342482922482304e-13 TOP MAIN SOLVE Loop x[1] -4.813724160732862 y[1] (analytic) 4.291033695294066 y[1] (numeric) 4.291033695293701 absolute error 3.6504133049675147e-13 relative error 8.507072104725923e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10133518034817272 Order of pole 8.526512829121202e-14 TOP MAIN SOLVE Loop x[1] -4.812960987045495 y[1] (analytic) 4.298567680677037 y[1] (numeric) 4.298567680676668 absolute error 3.6859404417555197e-13 relative error 8.574810763884432e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.10057200666080471 Order of pole 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -4.811816226514443 y[1] (analytic) 4.309977269769798 y[1] (numeric) 4.309977269769423 absolute error 3.7481129311345285e-13 relative error 8.696363568837849e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09942724612975395 Order of pole 1.8118839761882555e-13 TOP MAIN SOLVE Loop x[1] -4.810671465983392 y[1] (analytic) 4.321519867164916 y[1] (numeric) 4.321519867164536 absolute error 3.801403636316536e-13 relative error 8.796450677456688e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.809908292296024 y[1] (analytic) 4.329290355155893 y[1] (numeric) 4.329290355155509 absolute error 3.8458125573015423e-13 relative error 8.883240073564108e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09751931191133457 Order of pole 1.3855583347321954e-13 TOP MAIN SOLVE Loop x[1] -4.808763531764972 y[1] (analytic) 4.341061590623023 y[1] (numeric) 4.341061590622632 absolute error 3.907985046680551e-13 relative error 9.002371804910702e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09637455138028306 Order of pole 1.3145040611561853e-13 TOP MAIN SOLVE Loop x[1] -4.807618771233921 y[1] (analytic) 4.352974366386676 y[1] (numeric) 4.352974366386279 absolute error 3.97015753605956e-13 relative error 9.12056263578486e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.806855597546553 y[1] (analytic) 4.360996530742499 y[1] (numeric) 4.360996530742098 absolute error 4.005684672847565e-13 relative error 9.185250766905704e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.805710837015502 y[1] (analytic) 4.373152853133073 y[1] (numeric) 4.373152853132665 absolute error 4.076738946423575e-13 relative error 9.322196326851148e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.804947663328134 y[1] (analytic) 4.3813406850228045 y[1] (numeric) 4.381340685022392 absolute error 4.121147867408581e-13 relative error 9.406134249035534e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09255868294344424 Order of pole 2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -4.8038029027970826 y[1] (analytic) 4.393750627160793 y[1] (numeric) 4.393750627160375 absolute error 4.18332035678759e-13 relative error 9.521069154283839e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09141392241239367 Order of pole 2.7355895326763857e-13 TOP MAIN SOLVE Loop x[1] -4.802658142266031 y[1] (analytic) 4.406317840293102 y[1] (numeric) 4.406317840292677 absolute error 4.2543746303636e-13 relative error 9.655169655397816e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.09026916188134121 Order of pole 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -4.801894968578663 y[1] (analytic) 4.414785325808847 y[1] (numeric) 4.414785325808416 absolute error 4.3076653355456074e-13 relative error 9.757360817439944e-12% Correct digits 13 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.800750208047612 y[1] (analytic) 4.427623629912202 y[1] (numeric) 4.427623629911765 absolute error 4.369837824924616e-13 relative error 9.869487992165377e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.08836122766292205 Order of pole 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -4.799987034360244 y[1] (analytic) 4.436275726632326 y[1] (numeric) 4.4362757266318855 absolute error 4.405364961712621e-13 relative error 9.930322714762434e-12% Correct digits 13 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.08759805397555473 Order of pole 1.1368683772161603e-13 TOP MAIN SOLVE Loop x[1] -4.798842273829193 y[1] (analytic) 4.449396976877752 y[1] (numeric) 4.449396976877304 absolute error 4.4853010194856324e-13 relative error 1.0080694176749036e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.797697513298141 y[1] (analytic) 4.462694014003312 y[1] (numeric) 4.4626940140028575 absolute error 4.547473508864641e-13 relative error 1.0189973801912707e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.7969343396107735 y[1] (analytic) 4.471658696672419 y[1] (numeric) 4.47165869667196 absolute error 4.591882429849647e-13 relative error 1.0268857131843923e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.795789579079722 y[1] (analytic) 4.4852593365927085 y[1] (numeric) 4.485259336592241 absolute error 4.671818487622659e-13 relative error 1.041593838177409e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.08340059869503262 Order of pole 1.3855583347321954e-13 TOP MAIN SOLVE Loop x[1] -4.7946448185486705 y[1] (analytic) 4.499048836061377 y[1] (numeric) 4.499048836060903 absolute error 4.733990977001667e-13 relative error 1.0522204024675507e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.793881644861303 y[1] (analytic) 4.5083493567253665 y[1] (numeric) 4.508349356724887 absolute error 4.796163466380676e-13 relative error 1.0638402410465286e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.792736884330251 y[1] (analytic) 4.522465469603544 y[1] (numeric) 4.522465469603058 absolute error 4.858335955759685e-13 relative error 1.0742671200949124e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.791973710642884 y[1] (analytic) 4.531988879966335 y[1] (numeric) 4.531988879965843 absolute error 4.911626660941693e-13 relative error 1.0837684714217961e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.790828950111832 y[1] (analytic) 4.54644734546623 y[1] (numeric) 4.546447345465731 absolute error 4.991562718714704e-13 relative error 1.0979039983147165e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.789684189580781 y[1] (analytic) 4.561119258683665 y[1] (numeric) 4.561119258683158 absolute error 5.071498776487715e-13 relative error 1.1118978673562121e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.07729520919609188 Order of pole 3.446132268436486e-13 TOP MAIN SOLVE Loop x[1] -4.788921015893413 y[1] (analytic) 4.571022243724872 y[1] (numeric) 4.571022243724361 absolute error 5.115907697472721e-13 relative error 1.1192042883833854e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.7877762553623615 y[1] (analytic) 4.5860641714617145 y[1] (numeric) 4.586064171461194 absolute error 5.204725539442734e-13 relative error 1.134900285920734e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.78663149483131 y[1] (analytic) 4.601337149252963 y[1] (numeric) 4.6013371492524335 absolute error 5.293543381412746e-13 relative error 1.1504358862884378e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.785868321143942 y[1] (analytic) 4.611651021306701 y[1] (numeric) 4.611651021306166 absolute error 5.346834086594754e-13 relative error 1.1594186251065764e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.07347934075925296 Order of pole 1.6697754290362354e-13 TOP MAIN SOLVE Loop x[1] -4.784723560612891 y[1] (analytic) 4.6273251768075605 y[1] (numeric) 4.627325176807018 absolute error 5.426770144367765e-13 relative error 1.1727661093642332e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.783960386925523 y[1] (analytic) 4.637913524961034 y[1] (numeric) 4.637913524960485 absolute error 5.488942633746774e-13 relative error 1.1834939578337417e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.07157140654083351 Order of pole 7.815970093361102e-14 TOP MAIN SOLVE Loop x[1] -4.782815626394472 y[1] (analytic) 4.654010381763789 y[1] (numeric) 4.654010381763232 absolute error 5.568878691519785e-13 relative error 1.1965763362584673e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.78167086586342 y[1] (analytic) 4.670371924405833 y[1] (numeric) 4.670371924405267 absolute error 5.657696533489798e-13 relative error 1.2114017095564765e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.0692818854787311 Order of pole 2.877698079828406e-13 TOP MAIN SOLVE Loop x[1] -4.7809076921760525 y[1] (analytic) 4.681430997644913 y[1] (numeric) 4.681430997644341 absolute error 5.719869022868806e-13 relative error 1.2218206411130059e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.06851871179136312 Order of pole 1.7053025658242404e-13 TOP MAIN SOLVE Loop x[1] -4.779762931645001 y[1] (analytic) 4.698253471639221 y[1] (numeric) 4.69825347163864 absolute error 5.808686864838819e-13 relative error 1.2363502522592012e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.778999757957633 y[1] (analytic) 4.70962849779268 y[1] (numeric) 4.709628497792094 absolute error 5.861977570020827e-13 relative error 1.2446793993981121e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.777854997426582 y[1] (analytic) 4.726938496735006 y[1] (numeric) 4.726938496734409 absolute error 5.968558980384842e-13 relative error 1.2626690583149006e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.06546601704189207 Order of pole 4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -4.77671023689553 y[1] (analytic) 4.744554751454073 y[1] (numeric) 4.744554751453467 absolute error 6.057376822354854e-13 relative error 1.2767007948424322e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.06432125651084047 Order of pole 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -4.775947063208163 y[1] (analytic) 4.7564744633550635 y[1] (numeric) 4.756474463354452 absolute error 6.119549311733863e-13 relative error 1.2865725147649233e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.774802302677111 y[1] (analytic) 4.774625849574177 y[1] (numeric) 4.774625849573556 absolute error 6.208367153703875e-13 relative error 1.3002834880260967e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.77365754214606 y[1] (analytic) 4.793114144049193 y[1] (numeric) 4.7931141440485625 absolute error 6.306066779870889e-13 relative error 1.3156512843951518e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.772894368458692 y[1] (analytic) 4.805633083641444 y[1] (numeric) 4.8056330836408065 absolute error 6.377121053446899e-13 relative error 1.3270095619981598e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.7717496079276405 y[1] (analytic) 4.82471145804256 y[1] (numeric) 4.824711458041913 absolute error 6.474820679613913e-13 relative error 1.342012001323043e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.770986434240273 y[1] (analytic) 4.837636375354082 y[1] (numeric) 4.837636375353427 absolute error 6.545874953189923e-13 relative error 1.3531142990694106e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.769841673709221 y[1] (analytic) 4.857343590464211 y[1] (numeric) 4.857343590463547 absolute error 6.643574579356937e-13 relative error 1.3677382412064487e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.057452693324531644 Order of pole 9.237055564881302e-14 TOP MAIN SOLVE Loop x[1] -4.76869691317817 y[1] (analytic) 4.877448337977285 y[1] (numeric) 4.8774483379766105 absolute error 6.741274205523951e-13 relative error 1.3821313396667588e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.05630793279347994 Order of pole 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -4.767933739490802 y[1] (analytic) 4.8910803691405915 y[1] (numeric) 4.89108036913991 absolute error 6.812328479099961e-13 relative error 1.3928064895602911e-11% Correct digits 12 h 0.00038158684368362963 NO POLE TOP MAIN SOLVE Loop x[1] -4.766788978959751 y[1] (analytic) 4.911884426618451 y[1] (numeric) 4.9118844266177595 absolute error 6.918909889463976e-13 relative error 1.4086060030177145e-11% Correct digits 12 h 0.00038158684368362963 Real estimate of pole used Radius of convergence 0.054399998575060865 Order of pole 4.973799150320701e-14 TOP MAIN SOLVE Loop x[1] -4.765928850617919 y[1] (analytic) 4.927806463236501 y[1] (numeric) 4.927806463235783 absolute error 7.176481631177012e-13 relative error 1.456323758799492e-11% Correct digits 12 h 0.00015951383271556592 Real estimate of pole used Radius of convergence 0.05353987023322934 Order of pole 1.2434497875801753e-13 TOP MAIN SOLVE Loop x[1] -4.764971767621623 y[1] (analytic) 4.94582731903267 y[1] (numeric) 4.945827319031908 absolute error 7.620570841027074e-13 relative error 1.5408081094342665e-11% Correct digits 12 h 0.00015951383271556592 Real estimate of pole used Radius of convergence 0.05258278723693372 Order of pole 1.7408297026122455e-13 TOP MAIN SOLVE Loop x[1] -4.763855170792612 y[1] (analytic) 4.967271684277863 y[1] (numeric) 4.967271684277049 absolute error 8.144596108650148e-13 relative error 1.6396518302852206e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.762898087796316 y[1] (analytic) 4.986026845328915 y[1] (numeric) 4.9860268453280545 absolute error 8.606448886894214e-13 relative error 1.7261136279193998e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.76194100480002 y[1] (analytic) 5.005141430383658 y[1] (numeric) 5.005141430382748 absolute error 9.094947017729282e-13 relative error 1.8171208834416753e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.760983921803724 y[1] (analytic) 5.024629448561747 y[1] (numeric) 5.02462944856079 absolute error 9.565681580170349e-13 relative error 1.9037586110769693e-11% Correct digits 12 h 0.00015951383271556592 Real estimate of pole used Radius of convergence 0.048594941419034816 Order of pole 1.3145040611561853e-13 TOP MAIN SOLVE Loop x[1] -4.759867324974713 y[1] (analytic) 5.047857302366488 y[1] (numeric) 5.047857302365475 absolute error 1.0125233984581428e-12 relative error 2.0058479029973e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.758910241978417 y[1] (analytic) 5.068206562970939 y[1] (numeric) 5.068206562969877 absolute error 1.0622613899613498e-12 relative error 2.095931522843578e-11% Correct digits 12 h 0.00015951383271556592 Complex estimate of poles used Radius of convergence 0.034106110985858515 Order of pole 6.508571459562518e-12 TOP MAIN SOLVE Loop x[1] -4.757953158982121 y[1] (analytic) 5.088979467924387 y[1] (numeric) 5.0889794679232745 absolute error 1.112887559884257e-12 relative error 2.1868580270341784e-11% Correct digits 12 h 0.00015951383271556592 Real estimate of pole used Radius of convergence 0.045564178597431504 Order of pole 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -4.756996075985826 y[1] (analytic) 5.110193992576141 y[1] (numeric) 5.1101939925749775 absolute error 1.163513729807164e-12 relative error 2.276848455259163e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.755879479156814 y[1] (analytic) 5.135528040900572 y[1] (numeric) 5.135528040899348 absolute error 1.2239098623467726e-12 relative error 2.383221068211997e-11% Correct digits 12 h 0.00015951383271556592 NO POLE TOP MAIN SOLVE Loop x[1] -4.754922396160518 y[1] (analytic) 5.157766791865564 y[1] (numeric) 5.157766791864287 absolute error 1.27720056752878e-12 relative error 2.4762666073679085e-11% Correct digits 12 h 0.00015951383271556592 Complex estimate of poles used Radius of convergence 0.009055131751260333 Order of pole 1.1141310096718371e-11 TOP MAIN SOLVE Loop x[1] -4.753926331667879 y[1] (analytic) 5.181449800741974 y[1] (numeric) 5.181449800740676 absolute error 1.297628671181883e-12 relative error 2.5043737198728915e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.04153735128318935 Order of pole 2.4158453015843406e-13 TOP MAIN SOLVE Loop x[1] -4.752930267175239 y[1] (analytic) 5.205708344870414 y[1] (numeric) 5.205708344869096 absolute error 1.3171685964152857e-12 relative error 2.530238939938296e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.04054128679054983 Order of pole 2.0605739337042905e-13 TOP MAIN SOLVE Loop x[1] -4.7519342026826 y[1] (analytic) 5.230571044657637 y[1] (numeric) 5.230571044656299 absolute error 1.3375967000683886e-12 relative error 2.557267052962742e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.03954522229791063 Order of pole 3.730349362740526e-13 TOP MAIN SOLVE Loop x[1] -4.7509381381899605 y[1] (analytic) 5.256068711224183 y[1] (numeric) 5.256068711222824 absolute error 1.3589129821411916e-12 relative error 2.585417080334723e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.749942073697321 y[1] (analytic) 5.282234575851977 y[1] (numeric) 5.2822345758505955 absolute error 1.3811174426336947e-12 relative error 2.614646174457205e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.748946009204682 y[1] (analytic) 5.309104550280918 y[1] (numeric) 5.309104550279516 absolute error 1.4024337247064977e-12 relative error 2.6415635846393183e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.747949944712042 y[1] (analytic) 5.3367175229694315 y[1] (numeric) 5.336717522968007 absolute error 1.4246381851990009e-12 relative error 2.66950270286427e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.035560964327352534 Order of pole 1.9184653865522705e-13 TOP MAIN SOLVE Loop x[1] -4.746953880219403 y[1] (analytic) 5.365115697451604 y[1] (numeric) 5.365115697450157 absolute error 1.4477308241112041e-12 relative error 2.6984149191766116e-11% Correct digits 12 h 9.055131751260333e-05 Complex estimate of poles used Radius of convergence 0.030862843050568245 Order of pole 8.592238032179011e-12 TOP MAIN SOLVE Loop x[1] -4.745957815726763 y[1] (analytic) 5.394344980179391 y[1] (numeric) 5.394344980177919 absolute error 1.4725998198628076e-12 relative error 2.7298955207233255e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.744961751234124 y[1] (analytic) 5.424455426796882 y[1] (numeric) 5.424455426795386 absolute error 1.496580637194711e-12 relative error 2.7589509350589972e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.743965686741484 y[1] (analytic) 5.455501757739759 y[1] (numeric) 5.455501757738236 absolute error 1.5232259897857148e-12 relative error 2.79209146550948e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.742969622248845 y[1] (analytic) 5.487543956498373 y[1] (numeric) 5.487543956496823 absolute error 1.5498713423767185e-12 relative error 2.8243442871038043e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.741973557756205 y[1] (analytic) 5.520647966976477 y[1] (numeric) 5.5206479669749005 absolute error 1.5765166949677223e-12 relative error 2.8556732912479868e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.029584577371515947 Order of pole 3.232969447708456e-13 TOP MAIN SOLVE Loop x[1] -4.740977493263566 y[1] (analytic) 5.554886510319394 y[1] (numeric) 5.55488651031779 absolute error 1.6040502259784262e-12 relative error 2.8876381596609736e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.028588512878876194 Order of pole 5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -4.7399814287709265 y[1] (analytic) 5.590340046646236 y[1] (numeric) 5.590340046644604 absolute error 1.63158375698913e-12 relative error 2.918576944112643e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.02759244838623676 Order of pole 7.460698725481052e-14 TOP MAIN SOLVE Loop x[1] -4.738985364278287 y[1] (analytic) 5.6270979136714026 y[1] (numeric) 5.627097913669741 absolute error 1.6617818232589343e-12 relative error 2.9531773726942384e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.737989299785648 y[1] (analytic) 5.6652596827530886 y[1] (numeric) 5.665259682751396 absolute error 1.6928680679484387e-12 relative error 2.988156170673138e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.736993235293008 y[1] (analytic) 5.704936784176847 y[1] (numeric) 5.704936784175122 absolute error 1.7248424910576432e-12 relative error 3.023420865664363e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.735997170800369 y[1] (analytic) 5.746254468482132 y[1] (numeric) 5.746254468480373 absolute error 1.758593271006248e-12 relative error 3.060416625563711e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.734910554990217 y[1] (analytic) 5.793366096154957 y[1] (numeric) 5.793366096153161 absolute error 1.7958967646336532e-12 relative error 3.099919347105624e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.733914490497577 y[1] (analytic) 5.838593756115251 y[1] (numeric) 5.838593756113419 absolute error 1.8314239014216582e-12 relative error 3.1367551467396646e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.021525510112887457 Order of pole 1.6342482922482304e-13 TOP MAIN SOLVE Loop x[1] -4.732918426004938 y[1] (analytic) 5.885965295723219 y[1] (numeric) 5.885965295721349 absolute error 1.8696155734687636e-12 relative error 3.176395849338831e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.731922361512298 y[1] (analytic) 5.93569401723624 y[1] (numeric) 5.935694017234329 absolute error 1.9104717807749694e-12 relative error 3.218615675314944e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.730926297019659 y[1] (analytic) 5.9880267358138575 y[1] (numeric) 5.988026735811904 absolute error 1.9531043449205754e-12 relative error 3.261682739723307e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.729930232527019 y[1] (analytic) 6.043251189881764 y[1] (numeric) 6.043251189879766 absolute error 1.9984014443252818e-12 relative error 3.3068316731086936e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.72893416803438 y[1] (analytic) 6.101705620185215 y[1] (numeric) 6.10170562018317 absolute error 2.0454749005693884e-12 relative error 3.3523002057042846e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.016545187649690207 Order of pole 2.0961010704922955e-13 TOP MAIN SOLVE Loop x[1] -4.7279381035417405 y[1] (analytic) 6.16379132675748 y[1] (numeric) 6.163791326755384 absolute error 2.0961010704922955e-12 relative error 3.4006684512387104e-11% Correct digits 12 h 9.055131751260333e-05 Real estimate of pole used Radius of convergence 0.015549123157050709 Order of pole 1.2789769243681803e-13 TOP MAIN SOLVE Loop x[1] -4.726942039049101 y[1] (analytic) 6.229989388807213 y[1] (numeric) 6.229989388805062 absolute error 2.1511681325137033e-12 relative error 3.452924231907181e-11% Correct digits 12 h 9.055131751260333e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.725988248288276 y[1] (analytic) 6.2977701418456355 y[1] (numeric) 6.297770141843765 absolute error 1.8705037518884637e-12 relative error 2.970104830374598e-11% Correct digits 12 h 1.2632163116497742e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.724990307402079 y[1] (analytic) 6.373979617443796 y[1] (numeric) 6.373979617442387 absolute error 1.4086509736443986e-12 relative error 2.2100023190995396e-11% Correct digits 12 h 1.2632163116497742e-05 NO POLE TOP MAIN SOLVE Loop x[1] -4.723992366515882 y[1] (analytic) 6.456480755467598 y[1] (numeric) 6.456480755466688 absolute error 9.094947017729282e-13 relative error 1.4086539342702027e-11% Correct digits 12 h 1.2632163116497742e-05 Real estimate of pole used Radius of convergence 0.0116033861311918 Order of pole 9.592326932761353e-14 TOP MAIN SOLVE Loop x[1] -4.722994425629684 y[1] (analytic) 6.546406453387792 y[1] (numeric) 6.546406453387424 absolute error 3.6859404417555197e-13 relative error 5.630479054425395e-12% Correct digits 13 h 1.2632163116497742e-05 Real estimate of pole used Radius of convergence 0.010605445244994465 Order of pole 4.973799150320701e-14 TOP MAIN SOLVE Loop x[1] -4.721997557703155 y[1] (analytic) 6.645114496249286 y[1] (numeric) 6.645114496249716 absolute error 4.3076653355456074e-13 relative error 6.482454648414246e-12% Correct digits 13 h 7.772461459402943e-06 NO POLE TOP MAIN SOLVE Loop x[1] -4.720994910174901 y[1] (analytic) 6.7553161465378935 y[1] (numeric) 6.755316146539325 absolute error 1.4317436125566019e-12 relative error 2.11943243143457e-11% Correct digits 12 h 7.772461459402943e-06 Complex estimate of poles used Radius of convergence 0.006727113858019591 Order of pole 1.3361756145968684e-11 TOP MAIN SOLVE Loop x[1] -4.719992262646647 y[1] (analytic) 6.879184883350473 y[1] (numeric) 6.879184883353022 absolute error 2.5490720645393594e-12 relative error 3.7054856175021804e-11% Correct digits 12 h 7.772461459402943e-06 Real estimate of pole used Radius of convergence 0.00760328226195725 Order of pole 1.5276668818842154e-13 TOP MAIN SOLVE Loop x[1] -4.7189973875798525 y[1] (analytic) 7.019419901636205 y[1] (numeric) 7.019419901640026 absolute error 3.820943561549939e-12 relative error 5.4433893613620245e-11% Correct digits 12 h 7.772461459402943e-06 Real estimate of pole used Radius of convergence 0.006608407195162716 Order of pole 1.2079226507921703e-13 TOP MAIN SOLVE Loop x[1] -4.717994740051599 y[1] (analytic) 7.183965935278115 y[1] (numeric) 7.183965935283439 absolute error 5.323741447682551e-12 relative error 7.41058837923965e-11% Correct digits 12 h 7.772461459402943e-06 Real estimate of pole used Radius of convergence 0.005605759666908857 Order of pole 1.1368683772161603e-13 TOP MAIN SOLVE Loop x[1] -4.716999864984804 y[1] (analytic) 7.379339096533691 y[1] (numeric) 7.379339096540797 absolute error 7.105427357601002e-12 relative error 9.628812641146475e-11% Correct digits 12 h 7.772461459402943e-06 NO POLE TOP MAIN SOLVE Loop x[1] -4.71599663648364 y[1] (analytic) 7.6246991667782735 y[1] (numeric) 7.624699166783493 absolute error 5.219824572577636e-12 relative error 6.845941667208374e-11% Correct digits 12 h 4.229250334676989e-06 NO POLE TOP MAIN SOLVE Loop x[1] -4.71499853340462 y[1] (analytic) 7.948577464006958 y[1] (numeric) 7.948577464000404 absolute error 6.554756737386924e-12 relative error 8.246452610002752e-11% Correct digits 12 h 4.229250334676989e-06 NO POLE TOP MAIN SOLVE Loop x[1] -4.713996201075265 y[1] (analytic) 8.433249301395094 y[1] (numeric) 8.433249301370902 absolute error 2.419220379579201e-11 relative error 2.8686693504708737e-10% Correct digits 11 h 4.229250334676989e-06 NO POLE TOP MAIN SOLVE Loop x[1] -4.712998097996245 y[1] (analytic) 9.403499248315754 y[1] (numeric) 9.40349924825622 absolute error 5.95345994724994e-11 relative error 6.331111206624762e-10% Correct digits 11 h 4.229250334676989e-06 NO POLE Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ; Iterations 216228 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 1 Hours 41 Minutes 18.452831215717197 Seconds Optimized Time Remaining 1 Hours 41 Minutes 18.452831215717197 Seconds Expected Total Time 1 Hours 44 Minutes 18.452831215717197 Seconds Time to Timeout 0.0 Seconds Percent Done 2.876110196152659%