##############ECHO OF PROBLEM################# ##############temp/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(1.0) # ELIMINATED in preodein.rb x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(7.2134752044448170367996234050095)*expt(c(2.0),(c(0.2)*c(x)+c(0.3)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 1.0 y[1] (closed_form) 10.201394465967896 y[1] (numeric) 10.201394465967896 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.009999999999999 y[1] (closed_form) 10.215546408704384 y[1] (numeric) 10.215546408704384 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0199999999999978 y[1] (closed_form) 10.22971798380426 y[1] (numeric) 10.229717983804264 absolute error 3.552713678800501e-15 relative error 3.472934136038916e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299999999999967 y[1] (closed_form) 10.243909218502633 y[1] (numeric) 10.243909218502637 absolute error 3.552713678800501e-15 relative error 3.4681229626513675e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399999999999956 y[1] (closed_form) 10.258120140072391 y[1] (numeric) 10.258120140072398 absolute error 7.105427357601002e-15 relative error 6.926636908690816e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0499999999999945 y[1] (closed_form) 10.272350775824261 y[1] (numeric) 10.27235077582427 absolute error 8.881784197001252e-15 relative error 8.646301504719178e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0599999999999934 y[1] (closed_form) 10.286601153106854 y[1] (numeric) 10.286601153106863 absolute error 8.881784197001252e-15 relative error 8.634323490143966e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0699999999999923 y[1] (closed_form) 10.300871299306719 y[1] (numeric) 10.30087129930673 absolute error 1.0658141036401503e-14 relative error 1.0346834482942068e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799999999999912 y[1] (closed_form) 10.315161241848404 y[1] (numeric) 10.315161241848418 absolute error 1.4210854715202004e-14 relative error 1.3776667549847742e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.08999999999999 y[1] (closed_form) 10.329471008194494 y[1] (numeric) 10.329471008194512 absolute error 1.7763568394002505e-14 relative error 1.7196977831595104e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.099999999999989 y[1] (closed_form) 10.343800625845674 y[1] (numeric) 10.343800625845695 absolute error 2.1316282072803006e-14 relative error 2.0607785130294175e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099999999999879 y[1] (closed_form) 10.358150122340781 y[1] (numeric) 10.358150122340804 absolute error 2.3092638912203256e-14 relative error 2.2294172839218012e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199999999999868 y[1] (closed_form) 10.372519525256859 y[1] (numeric) 10.37251952525688 absolute error 2.1316282072803006e-14 relative error 2.0550727353077836e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299999999999857 y[1] (closed_form) 10.386908862209198 y[1] (numeric) 10.386908862209223 absolute error 2.4868995751603507e-14 relative error 2.394263402279829e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399999999999846 y[1] (closed_form) 10.401318160851407 y[1] (numeric) 10.401318160851433 absolute error 2.6645352591003757e-14 relative error 2.5617284443131277e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1499999999999835 y[1] (closed_form) 10.415747448875456 y[1] (numeric) 10.41574744887548 absolute error 2.4868995751603507e-14 relative error 2.3876342887219784e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1599999999999824 y[1] (closed_form) 10.430196754011723 y[1] (numeric) 10.430196754011751 absolute error 2.842170943040401e-14 relative error 2.724944706289676e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1699999999999813 y[1] (closed_form) 10.444666104029068 y[1] (numeric) 10.444666104029098 absolute error 3.019806626980426e-14 relative error 2.8912428572661835e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1799999999999802 y[1] (closed_form) 10.459155526734863 y[1] (numeric) 10.459155526734891 absolute error 2.842170943040401e-14 relative error 2.717400019318452e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.189999999999979 y[1] (closed_form) 10.47366504997506 y[1] (numeric) 10.47366504997509 absolute error 3.019806626980426e-14 relative error 2.8832377325142903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.199999999999978 y[1] (closed_form) 10.488194701634242 y[1] (numeric) 10.488194701634269 absolute error 2.6645352591003757e-14 relative error 2.540508957833511e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099999999999769 y[1] (closed_form) 10.50274450963567 y[1] (numeric) 10.502744509635702 absolute error 3.197442310920451e-14 relative error 3.044387405584302e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199999999999758 y[1] (closed_form) 10.517314501941348 y[1] (numeric) 10.517314501941383 absolute error 3.552713678800501e-14 relative error 3.377966569455273e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299999999999747 y[1] (closed_form) 10.531904706552066 y[1] (numeric) 10.531904706552103 absolute error 3.730349362740526e-14 relative error 3.541951305749867e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2399999999999736 y[1] (closed_form) 10.54651515150746 y[1] (numeric) 10.546515151507498 absolute error 3.730349362740526e-14 relative error 3.537044520537507e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499999999999725 y[1] (closed_form) 10.561145864886063 y[1] (numeric) 10.561145864886102 absolute error 3.907985046680551e-14 relative error 3.7003418915687057e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2599999999999714 y[1] (closed_form) 10.575796874805361 y[1] (numeric) 10.575796874805404 absolute error 4.263256414560601e-14 relative error 4.0311443809184003e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2699999999999703 y[1] (closed_form) 10.590468209421847 y[1] (numeric) 10.590468209421893 absolute error 4.618527782440651e-14 relative error 4.3610232249521906e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799999999999692 y[1] (closed_form) 10.605159896931072 y[1] (numeric) 10.60515989693112 absolute error 4.796163466380676e-14 relative error 4.5224810497846364e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.289999999999968 y[1] (closed_form) 10.619871965567706 y[1] (numeric) 10.619871965567754 absolute error 4.796163466380676e-14 relative error 4.5162159034789157e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.299999999999967 y[1] (closed_form) 10.634604443605578 y[1] (numeric) 10.634604443605628 absolute error 4.973799150320701e-14 relative error 4.676994971177671e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099999999999659 y[1] (closed_form) 10.64935735935775 y[1] (numeric) 10.649357359357804 absolute error 5.3290705182007514e-14 relative error 5.004124040891554e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199999999999648 y[1] (closed_form) 10.664130741176562 y[1] (numeric) 10.664130741176615 absolute error 5.3290705182007514e-14 relative error 4.99719165822305e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299999999999637 y[1] (closed_form) 10.678924617453676 y[1] (numeric) 10.67892461745373 absolute error 5.3290705182007514e-14 relative error 4.990268879219259e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399999999999626 y[1] (closed_form) 10.693739016620148 y[1] (numeric) 10.693739016620205 absolute error 5.684341886080802e-14 relative error 5.315579403280957e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499999999999615 y[1] (closed_form) 10.708573967146473 y[1] (numeric) 10.708573967146531 absolute error 5.861977570020827e-14 relative error 5.474097286907825e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3599999999999604 y[1] (closed_form) 10.723429497542643 y[1] (numeric) 10.723429497542702 absolute error 5.861977570020827e-14 relative error 5.466513834370006e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3699999999999593 y[1] (closed_form) 10.7383056363582 y[1] (numeric) 10.73830563635826 absolute error 6.039613253960852e-14 relative error 5.624363338580789e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799999999999581 y[1] (closed_form) 10.753202412182294 y[1] (numeric) 10.753202412182356 absolute error 6.217248937900877e-14 relative error 5.781765003193245e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.389999999999957 y[1] (closed_form) 10.768119853643729 y[1] (numeric) 10.76811985364379 absolute error 6.217248937900877e-14 relative error 5.773755328138437e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.399999999999956 y[1] (closed_form) 10.783057989411027 y[1] (numeric) 10.783057989411091 absolute error 6.394884621840902e-14 relative error 5.930492656276804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099999999999548 y[1] (closed_form) 10.79801684819249 y[1] (numeric) 10.798016848192553 absolute error 6.394884621840902e-14 relative error 5.922276943762465e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199999999999537 y[1] (closed_form) 10.812996458736228 y[1] (numeric) 10.812996458736295 absolute error 6.750155989720952e-14 relative error 6.242632202350576e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4299999999999526 y[1] (closed_form) 10.827996849830248 y[1] (numeric) 10.827996849830319 absolute error 7.105427357601002e-14 relative error 6.56208849720195e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399999999999515 y[1] (closed_form) 10.843018050302486 y[1] (numeric) 10.84301805030256 absolute error 7.283063041541027e-14 relative error 6.716822758897697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4499999999999504 y[1] (closed_form) 10.85806008902087 y[1] (numeric) 10.858060089020944 absolute error 7.283063041541027e-14 relative error 6.707517716636416e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4599999999999493 y[1] (closed_form) 10.873122994893375 y[1] (numeric) 10.873122994893453 absolute error 7.815970093361102e-14 relative error 7.188339630694804e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4699999999999482 y[1] (closed_form) 10.888206796868083 y[1] (numeric) 10.888206796868163 absolute error 7.993605777301127e-14 relative error 7.34152641149361e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799999999999471 y[1] (closed_form) 10.903311523933228 y[1] (numeric) 10.903311523933311 absolute error 8.348877145181177e-14 relative error 7.657193988133825e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.489999999999946 y[1] (closed_form) 10.918437205117263 y[1] (numeric) 10.918437205117344 absolute error 8.171241461241152e-14 relative error 7.483892893949555e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.499999999999945 y[1] (closed_form) 10.933583869488906 y[1] (numeric) 10.93358386948899 absolute error 8.348877145181177e-14 relative error 7.635993142632241e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099999999999438 y[1] (closed_form) 10.94875154615721 y[1] (numeric) 10.948751546157293 absolute error 8.348877145181177e-14 relative error 7.625414742479442e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199999999999427 y[1] (closed_form) 10.963940264271598 y[1] (numeric) 10.963940264271685 absolute error 8.704148513061227e-14 relative error 7.938887209578843e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299999999999416 y[1] (closed_form) 10.979150053021936 y[1] (numeric) 10.979150053022023 absolute error 8.704148513061227e-14 relative error 7.927889200007308e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399999999999405 y[1] (closed_form) 10.994380941638587 y[1] (numeric) 10.99438094163868 absolute error 9.237055564881302e-14 relative error 8.401614983066636e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5499999999999394 y[1] (closed_form) 11.009632959392462 y[1] (numeric) 11.009632959392558 absolute error 9.592326932761353e-14 relative error 8.712667323371587e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5599999999999383 y[1] (closed_form) 11.024906135595074 y[1] (numeric) 11.024906135595172 absolute error 9.769962616701378e-14 relative error 8.861719543496176e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5699999999999372 y[1] (closed_form) 11.040200499598605 y[1] (numeric) 11.040200499598702 absolute error 9.769962616701378e-14 relative error 8.849443103009398e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799999999999361 y[1] (closed_form) 11.055516080795948 y[1] (numeric) 11.05551608079605 absolute error 1.0125233984581428e-13 relative error 9.15853580292785e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.589999999999935 y[1] (closed_form) 11.070852908620783 y[1] (numeric) 11.070852908620884 absolute error 1.0125233984581428e-13 relative error 9.145848172815113e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.599999999999934 y[1] (closed_form) 11.086211012547608 y[1] (numeric) 11.086211012547711 absolute error 1.0302869668521453e-13 relative error 9.293409314382027e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6099999999999328 y[1] (closed_form) 11.101590422091823 y[1] (numeric) 11.10159042209193 absolute error 1.0658141036401503e-13 relative error 9.600553282160483e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6199999999999317 y[1] (closed_form) 11.116991166809765 y[1] (numeric) 11.116991166809871 absolute error 1.0658141036401503e-13 relative error 9.587253310249829e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6299999999999306 y[1] (closed_form) 11.132413276298777 y[1] (numeric) 11.132413276298882 absolute error 1.0480505352461478e-13 relative error 9.414405567187099e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6399999999999295 y[1] (closed_form) 11.147856780197257 y[1] (numeric) 11.147856780197364 absolute error 1.0658141036401503e-13 relative error 9.56070861560971e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6499999999999284 y[1] (closed_form) 11.163321708184723 y[1] (numeric) 11.16332170818483 absolute error 1.0658141036401503e-13 relative error 9.547463841866322e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6599999999999273 y[1] (closed_form) 11.178808089981866 y[1] (numeric) 11.178808089981974 absolute error 1.0835776720341528e-13 relative error 9.693141373499602e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6699999999999262 y[1] (closed_form) 11.194315955350604 y[1] (numeric) 11.194315955350712 absolute error 1.0835776720341528e-13 relative error 9.679713136167376e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.679999999999925 y[1] (closed_form) 11.209845334094146 y[1] (numeric) 11.209845334094254 absolute error 1.0835776720341528e-13 relative error 9.666303501427528e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.689999999999924 y[1] (closed_form) 11.225396256057042 y[1] (numeric) 11.225396256057154 absolute error 1.1191048088221578e-13 relative error 9.969401376083335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.699999999999923 y[1] (closed_form) 11.24096875112525 y[1] (numeric) 11.240968751125363 absolute error 1.1368683772161603e-13 relative error 1.0113615671268163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7099999999999218 y[1] (closed_form) 11.256562849226178 y[1] (numeric) 11.256562849226293 absolute error 1.1546319456101628e-13 relative error 1.0257411263772554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7199999999999207 y[1] (closed_form) 11.272178580328761 y[1] (numeric) 11.272178580328875 absolute error 1.1368683772161603e-13 relative error 1.0085613611552655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7299999999999196 y[1] (closed_form) 11.287815974443504 y[1] (numeric) 11.287815974443618 absolute error 1.1368683772161603e-13 relative error 1.0071641669124648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7399999999999185 y[1] (closed_form) 11.303475061622542 y[1] (numeric) 11.303475061622656 absolute error 1.1368683772161603e-13 relative error 1.005768908250212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7499999999999174 y[1] (closed_form) 11.319155871959705 y[1] (numeric) 11.319155871959818 absolute error 1.1368683772161603e-13 relative error 1.004375582487082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7599999999999163 y[1] (closed_form) 11.334858435590563 y[1] (numeric) 11.33485843559068 absolute error 1.1723955140041653e-13 relative error 1.0343274427874068e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7699999999999152 y[1] (closed_form) 11.350582782692504 y[1] (numeric) 11.350582782692625 absolute error 1.2079226507921703e-13 relative error 1.0641943888854979e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.779999999999914 y[1] (closed_form) 11.366328943484767 y[1] (numeric) 11.36632894348489 absolute error 1.2256862191861728e-13 relative error 1.0783483614458843e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.789999999999913 y[1] (closed_form) 11.382096948228522 y[1] (numeric) 11.382096948228645 absolute error 1.2256862191861728e-13 relative error 1.0768544889058736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.799999999999912 y[1] (closed_form) 11.397886827226912 y[1] (numeric) 11.397886827227037 absolute error 1.2434497875801753e-13 relative error 1.0909476523401353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8099999999999108 y[1] (closed_form) 11.413698610825126 y[1] (numeric) 11.41369861082525 absolute error 1.2434497875801753e-13 relative error 1.0894363255753457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8199999999999097 y[1] (closed_form) 11.429532329410444 y[1] (numeric) 11.42953232941057 absolute error 1.2612133559741778e-13 relative error 1.103468908109938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8299999999999086 y[1] (closed_form) 11.445388013412298 y[1] (numeric) 11.445388013412426 absolute error 1.2789769243681803e-13 relative error 1.117460520228243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8399999999999075 y[1] (closed_form) 11.461265693302343 y[1] (numeric) 11.46126569330247 absolute error 1.2789769243681803e-13 relative error 1.115912464288809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8499999999999064 y[1] (closed_form) 11.477165399594497 y[1] (numeric) 11.477165399594625 absolute error 1.2789769243681803e-13 relative error 1.1143665529237457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8599999999999053 y[1] (closed_form) 11.493087162845013 y[1] (numeric) 11.493087162845145 absolute error 1.3145040611561853e-13 relative error 1.1437345271388261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8699999999999042 y[1] (closed_form) 11.509031013652535 y[1] (numeric) 11.509031013652669 absolute error 1.3322676295501878e-13 relative error 1.157584533371916e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.879999999999903 y[1] (closed_form) 11.524996982658148 y[1] (numeric) 11.524996982658282 absolute error 1.3322676295501878e-13 relative error 1.1559808922769115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.889999999999902 y[1] (closed_form) 11.540985100545452 y[1] (numeric) 11.540985100545585 absolute error 1.3322676295501878e-13 relative error 1.1543794727602777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8999999999999009 y[1] (closed_form) 11.556995398040609 y[1] (numeric) 11.556995398040744 absolute error 1.3500311979441904e-13 relative error 1.168150675367645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9099999999998998 y[1] (closed_form) 11.573027905912406 y[1] (numeric) 11.573027905912543 absolute error 1.3677947663381929e-13 relative error 1.1818815071200307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9199999999998987 y[1] (closed_form) 11.589082654972314 y[1] (numeric) 11.589082654972454 absolute error 1.4033219031261979e-13 relative error 1.2108999002816677e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299999999998976 y[1] (closed_form) 11.605159676074551 y[1] (numeric) 11.605159676074694 absolute error 1.4210854715202004e-13 relative error 1.224529012254731e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399999999998965 y[1] (closed_form) 11.621259000116133 y[1] (numeric) 11.621259000116279 absolute error 1.4566126083082054e-13 relative error 1.2534034464713756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9499999999998954 y[1] (closed_form) 11.63738065803694 y[1] (numeric) 11.637380658037088 absolute error 1.474376176702208e-13 relative error 1.266931296677988e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9599999999998943 y[1] (closed_form) 11.653524680819775 y[1] (numeric) 11.653524680819924 absolute error 1.4921397450962104e-13 relative error 1.2804192602364187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9699999999998932 y[1] (closed_form) 11.669691099490418 y[1] (numeric) 11.669691099490569 absolute error 1.509903313490213e-13 relative error 1.2938674216973456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.979999999999892 y[1] (closed_form) 11.685879945117694 y[1] (numeric) 11.685879945117845 absolute error 1.509903313490213e-13 relative error 1.292074983297294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.989999999999891 y[1] (closed_form) 11.702091248813527 y[1] (numeric) 11.702091248813684 absolute error 1.5631940186722204e-13 relative error 1.3358244996001996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9999999999998899 y[1] (closed_form) 11.718325041733 y[1] (numeric) 11.718325041733157 absolute error 1.580957587066223e-13 relative error 1.3491327313723483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0099999999998888 y[1] (closed_form) 11.734581355074416 y[1] (numeric) 11.734581355074578 absolute error 1.616484723854228e-13 relative error 1.377539321549982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199999999998877 y[1] (closed_form) 11.75086022007936 y[1] (numeric) 11.750860220079526 absolute error 1.652011860642233e-13 relative error 1.4058646173148641e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0299999999998866 y[1] (closed_form) 11.767161668032758 y[1] (numeric) 11.767161668032927 absolute error 1.687538997430238e-13 relative error 1.434108789390298e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0399999999998855 y[1] (closed_form) 11.783485730262932 y[1] (numeric) 11.783485730263102 absolute error 1.7053025658242404e-13 relative error 1.447197039026065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0499999999998844 y[1] (closed_form) 11.799832438141665 y[1] (numeric) 11.799832438141838 absolute error 1.723066134218243e-13 relative error 1.460246273200135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0599999999998833 y[1] (closed_form) 11.816201823084265 y[1] (numeric) 11.81620182308444 absolute error 1.7408297026122455e-13 relative error 1.4732565748930768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.069999999999882 y[1] (closed_form) 11.83259391654962 y[1] (numeric) 11.832593916549794 absolute error 1.7408297026122455e-13 relative error 1.4712156226179955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.079999999999881 y[1] (closed_form) 11.849008750040253 y[1] (numeric) 11.849008750040431 absolute error 1.7763568394002505e-13 relative error 1.4991607119829461e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.08999999999988 y[1] (closed_form) 11.865446355102398 y[1] (numeric) 11.865446355102579 absolute error 1.8118839761882555e-13 relative error 1.5270255513052034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999879 y[1] (closed_form) 11.881906763326045 y[1] (numeric) 11.881906763326226 absolute error 1.8118839761882555e-13 relative error 1.5249101110443856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1099999999998778 y[1] (closed_form) 11.898390006345013 y[1] (numeric) 11.898390006345196 absolute error 1.829647544582258e-13 relative error 1.5377269896234433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999998766 y[1] (closed_form) 11.914896115836997 y[1] (numeric) 11.914896115837182 absolute error 1.8474111129762605e-13 relative error 1.550505430358495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999998755 y[1] (closed_form) 11.931425123523647 y[1] (numeric) 11.931425123523837 absolute error 1.900701818158268e-13 relative error 1.5930216202010102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999998744 y[1] (closed_form) 11.947977061170615 y[1] (numeric) 11.947977061170805 absolute error 1.900701818158268e-13 relative error 1.5908147533487521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1499999999998733 y[1] (closed_form) 11.964551960587615 y[1] (numeric) 11.964551960587809 absolute error 1.936228954946273e-13 relative error 1.6183046062438421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1599999999998722 y[1] (closed_form) 11.981149853628498 y[1] (numeric) 11.981149853628692 absolute error 1.936228954946273e-13 relative error 1.6160627140139516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.169999999999871 y[1] (closed_form) 11.997770772191297 y[1] (numeric) 11.997770772191496 absolute error 1.9895196601282805e-13 relative error 1.6582410998713478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.17999999999987 y[1] (closed_form) 12.0144147482183 y[1] (numeric) 12.014414748218499 absolute error 1.9895196601282805e-13 relative error 1.655943882263029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.189999999999869 y[1] (closed_form) 12.031081813696106 y[1] (numeric) 12.031081813696307 absolute error 2.007283228522283e-13 relative error 1.6684145778455306e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999868 y[1] (closed_form) 12.047772000655687 y[1] (numeric) 12.047772000655888 absolute error 2.007283228522283e-13 relative error 1.666103266573304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099999999998667 y[1] (closed_form) 12.064485341172452 y[1] (numeric) 12.064485341172656 absolute error 2.042810365310288e-13 relative error 1.693242859136968e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999998656 y[1] (closed_form) 12.081221867366303 y[1] (numeric) 12.081221867366509 absolute error 2.0605739337042905e-13 relative error 1.705600605904189e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999998645 y[1] (closed_form) 12.097981611401703 y[1] (numeric) 12.097981611401913 absolute error 2.0961010704922955e-13 relative error 1.7326039481799443e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2399999999998634 y[1] (closed_form) 12.11476460548774 y[1] (numeric) 12.114764605487952 absolute error 2.1316282072803006e-13 relative error 1.7595291998613962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2499999999998623 y[1] (closed_form) 12.131570881878174 y[1] (numeric) 12.131570881878387 absolute error 2.1316282072803006e-13 relative error 1.757091664414599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2599999999998612 y[1] (closed_form) 12.148400472871517 y[1] (numeric) 12.148400472871733 absolute error 2.1671553440683056e-13 relative error 1.7839017975310912e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.26999999999986 y[1] (closed_form) 12.165253410811085 y[1] (numeric) 12.165253410811303 absolute error 2.184918912462308e-13 relative error 1.7960323872255733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279999999999859 y[1] (closed_form) 12.182129728085062 y[1] (numeric) 12.182129728085286 absolute error 2.2382096176443156e-13 relative error 1.8372892651801905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999858 y[1] (closed_form) 12.199029457126565 y[1] (numeric) 12.199029457126791 absolute error 2.255973186038318e-13 relative error 1.8493054664446266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999857 y[1] (closed_form) 12.215952630413701 y[1] (numeric) 12.215952630413929 absolute error 2.2737367544323206e-13 relative error 1.861284848773451e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999998557 y[1] (closed_form) 12.232899280469633 y[1] (numeric) 12.232899280469862 absolute error 2.291500322826323e-13 relative error 1.8732274911188104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999998546 y[1] (closed_form) 12.24986943986264 y[1] (numeric) 12.249869439862875 absolute error 2.3447910280083306e-13 relative error 1.9141355257045277e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999998535 y[1] (closed_form) 12.266863141206192 y[1] (numeric) 12.266863141206429 absolute error 2.362554596402333e-13 relative error 1.9259647468195563e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3399999999998524 y[1] (closed_form) 12.283880417158986 y[1] (numeric) 12.283880417159224 absolute error 2.3803181647963356e-13 relative error 1.9377575195793507e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3499999999998513 y[1] (closed_form) 12.30092130042504 y[1] (numeric) 12.300921300425282 absolute error 2.4158453015843406e-13 relative error 1.963954766136797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.35999999999985 y[1] (closed_form) 12.317985823753729 y[1] (numeric) 12.317985823753972 absolute error 2.433608869978343e-13 relative error 1.9756548715013345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.369999999999849 y[1] (closed_form) 12.335074019939867 y[1] (numeric) 12.335074019940109 absolute error 2.4158453015843406e-13 relative error 1.9585170690334598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.379999999999848 y[1] (closed_form) 12.35218592182376 y[1] (numeric) 12.352185921824006 absolute error 2.4513724383723456e-13 relative error 1.984565690548162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999847 y[1] (closed_form) 12.369321562291274 y[1] (numeric) 12.369321562291521 absolute error 2.469136006766348e-13 relative error 1.996177392860154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999846 y[1] (closed_form) 12.386480974273894 y[1] (numeric) 12.386480974274141 absolute error 2.469136006766348e-13 relative error 1.9934120206494654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999998447 y[1] (closed_form) 12.40366419074879 y[1] (numeric) 12.403664190749039 absolute error 2.4868995751603507e-13 relative error 2.004971705873166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999998436 y[1] (closed_form) 12.420871244738882 y[1] (numeric) 12.420871244739132 absolute error 2.504663143554353e-13 relative error 2.0164955373925602e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4299999999998425 y[1] (closed_form) 12.438102169312895 y[1] (numeric) 12.438102169313149 absolute error 2.540190280342358e-13 relative error 2.0422651669556782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4399999999998414 y[1] (closed_form) 12.455356997585433 y[1] (numeric) 12.45535699758569 absolute error 2.575717417130363e-13 relative error 2.067959527478567e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999998403 y[1] (closed_form) 12.472635762717044 y[1] (numeric) 12.472635762717301 absolute error 2.575717417130363e-13 relative error 2.0650947130434503e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.459999999999839 y[1] (closed_form) 12.489938497914265 y[1] (numeric) 12.489938497914524 absolute error 2.5934809855243657e-13 relative error 2.0764561698662162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.469999999999838 y[1] (closed_form) 12.507265236429712 y[1] (numeric) 12.507265236429975 absolute error 2.6290081223123707e-13 relative error 2.101984784535392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999837 y[1] (closed_form) 12.524616011562124 y[1] (numeric) 12.524616011562388 absolute error 2.646771690706373e-13 relative error 2.1132557583106745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999836 y[1] (closed_form) 12.541990856656431 y[1] (numeric) 12.541990856656703 absolute error 2.717825964282383e-13 relative error 2.1669812993364982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.499999999999835 y[1] (closed_form) 12.559389805103834 y[1] (numeric) 12.559389805104104 absolute error 2.7000623958883807e-13 relative error 2.1498356510848486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999998337 y[1] (closed_form) 12.576812890341838 y[1] (numeric) 12.57681289034211 absolute error 2.717825964282383e-13 relative error 2.1609814727938697e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999998326 y[1] (closed_form) 12.594260145854347 y[1] (numeric) 12.594260145854621 absolute error 2.7355895326763857e-13 relative error 2.172092287276486e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5299999999998315 y[1] (closed_form) 12.611731605171716 y[1] (numeric) 12.611731605171991 absolute error 2.753353101070388e-13 relative error 2.1831681701355867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5399999999998304 y[1] (closed_form) 12.629227301870806 y[1] (numeric) 12.629227301871085 absolute error 2.788880237858393e-13 relative error 2.208274640401213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999998293 y[1] (closed_form) 12.646747269575066 y[1] (numeric) 12.646747269575348 absolute error 2.824407374646398e-13 relative error 2.2333073591509347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.559999999999828 y[1] (closed_form) 12.664291541954587 y[1] (numeric) 12.664291541954872 absolute error 2.859934511434403e-13 relative error 2.2582664825426196e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999827 y[1] (closed_form) 12.681860152726166 y[1] (numeric) 12.681860152726456 absolute error 2.8954616482224083e-13 relative error 2.283152166443014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999826 y[1] (closed_form) 12.69945313565338 y[1] (numeric) 12.699453135653672 absolute error 2.913225216616411e-13 relative error 2.2939769023892907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.589999999999825 y[1] (closed_form) 12.717070524546639 y[1] (numeric) 12.71707052454693 absolute error 2.913225216616411e-13 relative error 2.2907989784229547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.599999999999824 y[1] (closed_form) 12.734712353263259 y[1] (numeric) 12.73471235326355 absolute error 2.913225216616411e-13 relative error 2.2876254569424172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999998227 y[1] (closed_form) 12.752378655707522 y[1] (numeric) 12.752378655707817 absolute error 2.948752353404416e-13 relative error 2.3123155554078975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6199999999998216 y[1] (closed_form) 12.770069465830751 y[1] (numeric) 12.770069465831051 absolute error 3.0020430585864233e-13 relative error 2.350843170132377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299999999998205 y[1] (closed_form) 12.787784817631362 y[1] (numeric) 12.787784817631664 absolute error 3.019806626980426e-13 relative error 2.361477511583413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999998194 y[1] (closed_form) 12.805524745154937 y[1] (numeric) 12.805524745155243 absolute error 3.055333763768431e-13 relative error 2.3859496776377232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999998183 y[1] (closed_form) 12.823289282494287 y[1] (numeric) 12.823289282494594 absolute error 3.0730973321624333e-13 relative error 2.39649692404403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659999999999817 y[1] (closed_form) 12.84107846378952 y[1] (numeric) 12.841078463789827 absolute error 3.0730973321624333e-13 relative error 2.393176975616372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999816 y[1] (closed_form) 12.858892323228103 y[1] (numeric) 12.858892323228414 absolute error 3.1086244689504383e-13 relative error 2.4174900845347834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999815 y[1] (closed_form) 12.876730895044936 y[1] (numeric) 12.876730895045247 absolute error 3.1086244689504383e-13 relative error 2.414141053570251e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.689999999999814 y[1] (closed_form) 12.894594213522403 y[1] (numeric) 12.894594213522717 absolute error 3.1441516057384433e-13 relative error 2.438348623984778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999998128 y[1] (closed_form) 12.912482312990452 y[1] (numeric) 12.912482312990766 absolute error 3.1441516057384433e-13 relative error 2.4349706969784628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7099999999998117 y[1] (closed_form) 12.93039522782665 y[1] (numeric) 12.930395227826969 absolute error 3.1796787425264483e-13 relative error 2.4590731269247452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7199999999998106 y[1] (closed_form) 12.948332992456264 y[1] (numeric) 12.948332992456582 absolute error 3.1796787425264483e-13 relative error 2.455666489561968e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999998095 y[1] (closed_form) 12.966295641352309 y[1] (numeric) 12.966295641352627 absolute error 3.1796787425264483e-13 relative error 2.4522645715294108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999998084 y[1] (closed_form) 12.984283209035624 y[1] (numeric) 12.984283209035942 absolute error 3.1796787425264483e-13 relative error 2.4488673662892255e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999998073 y[1] (closed_form) 13.002295730074943 y[1] (numeric) 13.002295730075259 absolute error 3.161915174132446e-13 relative error 2.4318129965455116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999806 y[1] (closed_form) 13.020333239086947 y[1] (numeric) 13.020333239087265 absolute error 3.1796787425264483e-13 relative error 2.442087068079852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999805 y[1] (closed_form) 13.038395770736349 y[1] (numeric) 13.038395770736667 absolute error 3.1796787425264483e-13 relative error 2.438703962080202e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.779999999999804 y[1] (closed_form) 13.056483359735939 y[1] (numeric) 13.05648335973626 absolute error 3.2152058793144533e-13 relative error 2.462535884072447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.789999999999803 y[1] (closed_form) 13.074596040846675 y[1] (numeric) 13.074596040847002 absolute error 3.268496584496461e-13 relative error 2.4998834184132864e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999998018 y[1] (closed_form) 13.09273384887773 y[1] (numeric) 13.092733848878057 absolute error 3.268496584496461e-13 relative error 2.496420245170283e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8099999999998007 y[1] (closed_form) 13.110896818686566 y[1] (numeric) 13.110896818686893 absolute error 3.268496584496461e-13 relative error 2.4929618695785716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8199999999997996 y[1] (closed_form) 13.129084985179006 y[1] (numeric) 13.129084985179334 absolute error 3.2862601528904634e-13 relative error 2.5030382213232795e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999997985 y[1] (closed_form) 13.14729838330929 y[1] (numeric) 13.14729838330962 absolute error 3.304023721284466e-13 relative error 2.5130818704768866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999997974 y[1] (closed_form) 13.165537048080152 y[1] (numeric) 13.165537048080484 absolute error 3.3217872896784684e-13 relative error 2.523092888309379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8499999999997963 y[1] (closed_form) 13.183801014542885 y[1] (numeric) 13.183801014543219 absolute error 3.339550858072471e-13 relative error 2.5330713459560366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999795 y[1] (closed_form) 13.202090317797406 y[1] (numeric) 13.20209031779774 absolute error 3.339550858072471e-13 relative error 2.529562196351972e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999794 y[1] (closed_form) 13.220404992992323 y[1] (numeric) 13.220404992992659 absolute error 3.3573144264664734e-13 relative error 2.5394943863263408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.879999999999793 y[1] (closed_form) 13.238745075325005 y[1] (numeric) 13.238745075325344 absolute error 3.3928415632544784e-13 relative error 2.5628120671182164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.889999999999792 y[1] (closed_form) 13.25711060004165 y[1] (numeric) 13.257110600041992 absolute error 3.4283687000424834e-13 relative error 2.586060268692118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8999999999997907 y[1] (closed_form) 13.27550160243735 y[1] (numeric) 13.275501602437693 absolute error 3.4283687000424834e-13 relative error 2.5824777117371165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9099999999997896 y[1] (closed_form) 13.293918117856158 y[1] (numeric) 13.293918117856506 absolute error 3.481659405224491e-13 relative error 2.6189866481485145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999997885 y[1] (closed_form) 13.312360181691167 y[1] (numeric) 13.312360181691515 absolute error 3.481659405224491e-13 relative error 2.615358477163882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999997874 y[1] (closed_form) 13.330827829384557 y[1] (numeric) 13.330827829384909 absolute error 3.517186542012496e-13 relative error 2.6383856929422765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999997863 y[1] (closed_form) 13.349321096427687 y[1] (numeric) 13.34932109642804 absolute error 3.5349501104064984e-13 relative error 2.6480373682467345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9499999999997852 y[1] (closed_form) 13.367840018361141 y[1] (numeric) 13.3678400183615 absolute error 3.588240815588506e-13 relative error 2.6842338108923704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999784 y[1] (closed_form) 13.386384630774819 y[1] (numeric) 13.386384630775176 absolute error 3.5704772471945034e-13 relative error 2.667245373322162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.969999999999783 y[1] (closed_form) 13.40495496930798 y[1] (numeric) 13.40495496930834 absolute error 3.6060043839825084e-13 relative error 2.6900533364258407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.979999999999782 y[1] (closed_form) 13.423551069649331 y[1] (numeric) 13.423551069649696 absolute error 3.6415315207705135e-13 relative error 2.712792987396622e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989999999999781 y[1] (closed_form) 13.442172967537092 y[1] (numeric) 13.442172967537456 absolute error 3.6415315207705135e-13 relative error 2.709034863310291e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999999999997797 y[1] (closed_form) 13.46082069875905 y[1] (numeric) 13.460820698759418 absolute error 3.6770586575585185e-13 relative error 2.7316749400707088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0099999999997786 y[1] (closed_form) 13.479494299152652 y[1] (numeric) 13.479494299153023 absolute error 3.7125857943465235e-13 relative error 2.7542470896552137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999997775 y[1] (closed_form) 13.498193804605052 y[1] (numeric) 13.498193804605423 absolute error 3.7125857943465235e-13 relative error 2.750431537795772e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999997764 y[1] (closed_form) 13.516919251053189 y[1] (numeric) 13.516919251053562 absolute error 3.730349362740526e-13 relative error 2.7597630003226296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0399999999997753 y[1] (closed_form) 13.535670674483857 y[1] (numeric) 13.53567067448423 absolute error 3.730349362740526e-13 relative error 2.7559398070851573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0499999999997742 y[1] (closed_form) 13.554448110933777 y[1] (numeric) 13.554448110934146 absolute error 3.694822225952521e-13 relative error 2.7259112253873846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.059999999999773 y[1] (closed_form) 13.573251596489655 y[1] (numeric) 13.573251596490026 absolute error 3.7125857943465235e-13 relative error 2.7352221153158914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.069999999999772 y[1] (closed_form) 13.592081167288264 y[1] (numeric) 13.592081167288637 absolute error 3.730349362740526e-13 relative error 2.7445019764289434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.079999999999771 y[1] (closed_form) 13.610936859516505 y[1] (numeric) 13.610936859516878 absolute error 3.730349362740526e-13 relative error 2.7406999248052036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.08999999999977 y[1] (closed_form) 13.62981870941148 y[1] (numeric) 13.629818709411857 absolute error 3.765876499528531e-13 relative error 2.7629688844857256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0999999999997687 y[1] (closed_form) 13.648726753260563 y[1] (numeric) 13.648726753260943 absolute error 3.801403636316536e-13 relative error 2.7851708844624745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999997676 y[1] (closed_form) 13.667661027401467 y[1] (numeric) 13.667661027401849 absolute error 3.8191672047105385e-13 relative error 2.7943092801714363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999997665 y[1] (closed_form) 13.68662156822231 y[1] (numeric) 13.686621568222698 absolute error 3.872457909892546e-13 relative error 2.82937457618003e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999997654 y[1] (closed_form) 13.7056084121617 y[1] (numeric) 13.705608412162087 absolute error 3.872457909892546e-13 relative error 2.8254549476667613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1399999999997643 y[1] (closed_form) 13.724621595708784 y[1] (numeric) 13.724621595709172 absolute error 3.872457909892546e-13 relative error 2.821540749147743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999763 y[1] (closed_form) 13.743661155403334 y[1] (numeric) 13.743661155403725 absolute error 3.907985046680551e-13 relative error 2.8434818077162232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.159999999999762 y[1] (closed_form) 13.762727127835813 y[1] (numeric) 13.762727127836204 absolute error 3.907985046680551e-13 relative error 2.8395426359768868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.169999999999761 y[1] (closed_form) 13.78181954964744 y[1] (numeric) 13.78181954964783 absolute error 3.907985046680551e-13 relative error 2.8356089213056947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.17999999999976 y[1] (closed_form) 13.800938457530268 y[1] (numeric) 13.800938457530659 absolute error 3.907985046680551e-13 relative error 2.8316806561427853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999759 y[1] (closed_form) 13.82008388822725 y[1] (numeric) 13.820083888227641 absolute error 3.907985046680551e-13 relative error 2.8277578329387706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999997577 y[1] (closed_form) 13.839255878532313 y[1] (numeric) 13.839255878532704 absolute error 3.907985046680551e-13 relative error 2.82384044415472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999997566 y[1] (closed_form) 13.858454465290427 y[1] (numeric) 13.858454465290816 absolute error 3.8902214782865485e-13 relative error 2.807110625524592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999997555 y[1] (closed_form) 13.877679685397668 y[1] (numeric) 13.877679685398059 absolute error 3.907985046680551e-13 relative error 2.816021939742996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2299999999997544 y[1] (closed_form) 13.896931575801304 y[1] (numeric) 13.8969315758017 absolute error 3.9612757518625585e-13 relative error 2.8504679110317557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2399999999997533 y[1] (closed_form) 13.916210173499858 y[1] (numeric) 13.916210173500254 absolute error 3.9612757518625585e-13 relative error 2.846519061206674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.249999999999752 y[1] (closed_form) 13.935515515543175 y[1] (numeric) 13.935515515543573 absolute error 3.979039320256561e-13 relative error 2.8553226580089435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.259999999999751 y[1] (closed_form) 13.9548476390325 y[1] (numeric) 13.954847639032902 absolute error 4.014566457044566e-13 relative error 2.8768257174056103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.26999999999975 y[1] (closed_form) 13.97420658112055 y[1] (numeric) 13.974206581120951 absolute error 4.014566457044566e-13 relative error 2.872840353217857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999749 y[1] (closed_form) 13.993592379011575 y[1] (numeric) 13.993592379011979 absolute error 4.0323300254385686e-13 relative error 2.8815545831437092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999748 y[1] (closed_form) 14.013005069961444 y[1] (numeric) 14.01300506996185 absolute error 4.050093593832571e-13 relative error 2.8902391554217246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999997467 y[1] (closed_form) 14.032444691277705 y[1] (numeric) 14.032444691278114 absolute error 4.085620730620576e-13 relative error 2.9115530618553716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999997456 y[1] (closed_form) 14.051911280319665 y[1] (numeric) 14.051911280320075 absolute error 4.1033842990145786e-13 relative error 2.9201609782162185e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3199999999997445 y[1] (closed_form) 14.071404874498453 y[1] (numeric) 14.071404874498864 absolute error 4.1033842990145786e-13 relative error 2.9161155802226433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3299999999997434 y[1] (closed_form) 14.0909255112771 y[1] (numeric) 14.09092551127751 absolute error 4.1033842990145786e-13 relative error 2.9120757864560434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999997423 y[1] (closed_form) 14.110473228170605 y[1] (numeric) 14.110473228171015 absolute error 4.1033842990145786e-13 relative error 2.908041589152694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349999999999741 y[1] (closed_form) 14.130048062746015 y[1] (numeric) 14.130048062746427 absolute error 4.121147867408581e-13 relative error 2.916584465323951e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.35999999999974 y[1] (closed_form) 14.149650052622489 y[1] (numeric) 14.149650052622903 absolute error 4.1389114358025836e-13 relative error 2.9250980910552484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999739 y[1] (closed_form) 14.169279235471373 y[1] (numeric) 14.169279235471786 absolute error 4.121147867408581e-13 relative error 2.9085091760290103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999738 y[1] (closed_form) 14.18893564901627 y[1] (numeric) 14.188935649016688 absolute error 4.1744385725905886e-13 relative error 2.9420378496677483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.389999999999737 y[1] (closed_form) 14.208619331033125 y[1] (numeric) 14.20861933103354 absolute error 4.156675004196586e-13 relative error 2.9254601783284944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999997357 y[1] (closed_form) 14.228330319350277 y[1] (numeric) 14.228330319350695 absolute error 4.1744385725905886e-13 relative error 2.933892086349321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999997346 y[1] (closed_form) 14.248068651848547 y[1] (numeric) 14.24806865184897 absolute error 4.227729277772596e-13 relative error 2.9672297214991942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4199999999997335 y[1] (closed_form) 14.26783436646131 y[1] (numeric) 14.267834366461734 absolute error 4.2454928461665986e-13 relative error 2.975569197905933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4299999999997324 y[1] (closed_form) 14.287627501174557 y[1] (numeric) 14.287627501174981 absolute error 4.2454928461665986e-13 relative error 2.97144704102734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999997313 y[1] (closed_form) 14.307448094026979 y[1] (numeric) 14.307448094027404 absolute error 4.2454928461665986e-13 relative error 2.9673305947124083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.44999999999973 y[1] (closed_form) 14.327296183110036 y[1] (numeric) 14.327296183110462 absolute error 4.263256414560601e-13 relative error 2.9756182604687195e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.459999999999729 y[1] (closed_form) 14.347171806568035 y[1] (numeric) 14.347171806568461 absolute error 4.263256414560601e-13 relative error 2.9714960356220954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.469999999999728 y[1] (closed_form) 14.367075002598193 y[1] (numeric) 14.36707500259862 absolute error 4.263256414560601e-13 relative error 2.96737952143329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.479999999999727 y[1] (closed_form) 14.387005809450716 y[1] (numeric) 14.387005809451145 absolute error 4.2810199829546036e-13 relative error 2.975615662949433e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999997258 y[1] (closed_form) 14.406964265428877 y[1] (numeric) 14.406964265429307 absolute error 4.298783551348606e-13 relative error 2.9838232900070548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999997247 y[1] (closed_form) 14.426950408889084 y[1] (numeric) 14.426950408889516 absolute error 4.3165471197426086e-13 relative error 2.992002465803856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5099999999997236 y[1] (closed_form) 14.446964278240953 y[1] (numeric) 14.446964278241389 absolute error 4.3520742565306136e-13 relative error 3.01244896347215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5199999999997225 y[1] (closed_form) 14.467005911947387 y[1] (numeric) 14.46700591194782 absolute error 4.334310688136611e-13 relative error 2.9959970394130947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999997214 y[1] (closed_form) 14.487075348524643 y[1] (numeric) 14.487075348525082 absolute error 4.3876013933186186e-13 relative error 3.0286315821263745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999997203 y[1] (closed_form) 14.507172626542415 y[1] (numeric) 14.507172626542856 absolute error 4.405364961712621e-13 relative error 3.036680595950542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.549999999999719 y[1] (closed_form) 14.5272977846239 y[1] (numeric) 14.527297784624341 absolute error 4.405364961712621e-13 relative error 3.032473779380624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999718 y[1] (closed_form) 14.547450861445874 y[1] (numeric) 14.547450861446318 absolute error 4.440892098500626e-13 relative error 3.0526943454196656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999717 y[1] (closed_form) 14.567631895738772 y[1] (numeric) 14.567631895739218 absolute error 4.4586556668946287e-13 relative error 3.0606592058375977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.579999999999716 y[1] (closed_form) 14.587840926286754 y[1] (numeric) 14.587840926287203 absolute error 4.4941828036826337e-13 relative error 3.080773108503179e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999997148 y[1] (closed_form) 14.608077991927782 y[1] (numeric) 14.608077991928237 absolute error 4.547473508864641e-13 relative error 3.11298550800284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999997137 y[1] (closed_form) 14.628343131553702 y[1] (numeric) 14.62834313155416 absolute error 4.583000645652646e-13 relative error 3.1329594913363766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6099999999997125 y[1] (closed_form) 14.64863638411031 y[1] (numeric) 14.648636384110766 absolute error 4.565237077258644e-13 relative error 3.116492864967728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6199999999997114 y[1] (closed_form) 14.668957788597426 y[1] (numeric) 14.668957788597886 absolute error 4.600764214046649e-13 relative error 3.1363947462054503e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999997103 y[1] (closed_form) 14.68930738406898 y[1] (numeric) 14.689307384069442 absolute error 4.618527782440651e-13 relative error 3.144142648583684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999997092 y[1] (closed_form) 14.709685209633076 y[1] (numeric) 14.709685209633541 absolute error 4.654054919228656e-13 relative error 3.1639391685831657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999708 y[1] (closed_form) 14.730091304452069 y[1] (numeric) 14.730091304452536 absolute error 4.671818487622659e-13 relative error 3.1716154306597095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999707 y[1] (closed_form) 14.750525707742648 y[1] (numeric) 14.750525707743115 absolute error 4.671818487622659e-13 relative error 3.1672216842891168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.669999999999706 y[1] (closed_form) 14.770988458775898 y[1] (numeric) 14.77098845877637 absolute error 4.725109192804666e-13 relative error 3.1989119793789654e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.679999999999705 y[1] (closed_form) 14.791479596877391 y[1] (numeric) 14.791479596877865 absolute error 4.742872761198669e-13 relative error 3.206489743054461e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999997037 y[1] (closed_form) 14.811999161427243 y[1] (numeric) 14.811999161427721 absolute error 4.778399897986674e-13 relative error 3.226033060027692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999999999997026 y[1] (closed_form) 14.832547191860215 y[1] (numeric) 14.83254719186069 absolute error 4.760636329592671e-13 relative error 3.2095878529921056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099999999997015 y[1] (closed_form) 14.853123727665759 y[1] (numeric) 14.853123727666238 absolute error 4.796163466380676e-13 relative error 3.2290604685714934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999997004 y[1] (closed_form) 14.87372880838812 y[1] (numeric) 14.8737288083886 absolute error 4.796163466380676e-13 relative error 3.224587141642554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999996993 y[1] (closed_form) 14.894362473626396 y[1] (numeric) 14.894362473626874 absolute error 4.778399897986674e-13 relative error 3.208193641351106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999996982 y[1] (closed_form) 14.915024763034618 y[1] (numeric) 14.915024763035099 absolute error 4.813927034774679e-13 relative error 3.227568918762717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999697 y[1] (closed_form) 14.93571571632183 y[1] (numeric) 14.935715716322315 absolute error 4.849454171562684e-13 relative error 3.2468843567122626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999696 y[1] (closed_form) 14.956435373252166 y[1] (numeric) 14.956435373252653 absolute error 4.867217739956686e-13 relative error 3.2542632107789103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.769999999999695 y[1] (closed_form) 14.977183773644912 y[1] (numeric) 14.977183773645404 absolute error 4.920508445138694e-13 relative error 3.285336228428489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.779999999999694 y[1] (closed_form) 14.997960957374605 y[1] (numeric) 14.997960957375103 absolute error 4.973799150320701e-13 relative error 3.316316907649402e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7899999999996927 y[1] (closed_form) 15.018766964371093 y[1] (numeric) 15.018766964371594 absolute error 5.009326287108706e-13 relative error 3.335377863570487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7999999999996916 y[1] (closed_form) 15.039601834619617 y[1] (numeric) 15.03960183462012 absolute error 5.027089855502709e-13 relative error 3.3425684474776883e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999996905 y[1] (closed_form) 15.06046560816089 y[1] (numeric) 15.060465608161396 absolute error 5.062616992290714e-13 relative error 3.3615275410525213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999996894 y[1] (closed_form) 15.081358325091166 y[1] (numeric) 15.081358325091674 absolute error 5.080380560684716e-13 relative error 3.3686491966923048e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999996883 y[1] (closed_form) 15.102280025562328 y[1] (numeric) 15.10228002556284 absolute error 5.115907697472721e-13 relative error 3.3875068458626548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999687 y[1] (closed_form) 15.123230749781959 y[1] (numeric) 15.123230749782472 absolute error 5.133671265866724e-13 relative error 3.394559899802322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999686 y[1] (closed_form) 15.144210538013423 y[1] (numeric) 15.144210538013938 absolute error 5.151434834260726e-13 relative error 3.4015869109387577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.859999999999685 y[1] (closed_form) 15.165219430575933 y[1] (numeric) 15.165219430576451 absolute error 5.186961971048731e-13 relative error 3.4203012985033643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.869999999999684 y[1] (closed_form) 15.186257467844639 y[1] (numeric) 15.186257467845161 absolute error 5.222489107836736e-13 relative error 3.4389573065614274e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.879999999999683 y[1] (closed_form) 15.207324690250699 y[1] (numeric) 15.207324690251223 absolute error 5.240252676230739e-13 relative error 3.445874131687492e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8899999999996817 y[1] (closed_form) 15.228421138281366 y[1] (numeric) 15.228421138281892 absolute error 5.258016244624741e-13 relative error 3.4527651927139606e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8999999999996806 y[1] (closed_form) 15.249546852480053 y[1] (numeric) 15.249546852480577 absolute error 5.240252676230739e-13 relative error 3.4363333723444446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999996795 y[1] (closed_form) 15.270701873446416 y[1] (numeric) 15.270701873446944 absolute error 5.275779813018744e-13 relative error 3.454837804274456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999996784 y[1] (closed_form) 15.291886241836437 y[1] (numeric) 15.29188624183697 absolute error 5.329070518200751e-13 relative error 3.4849007074229785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9299999999996773 y[1] (closed_form) 15.313099998362501 y[1] (numeric) 15.313099998363038 absolute error 5.364597654988756e-13 relative error 3.503273442714027e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.939999999999676 y[1] (closed_form) 15.334343183793465 y[1] (numeric) 15.334343183794001 absolute error 5.364597654988756e-13 relative error 3.498420239256471e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.949999999999675 y[1] (closed_form) 15.355615838954746 y[1] (numeric) 15.35561583895528 absolute error 5.346834086594754e-13 relative error 3.482005634076029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.959999999999674 y[1] (closed_form) 15.37691800472839 y[1] (numeric) 15.376918004728932 absolute error 5.417888360170764e-13 relative error 3.523390290892341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.969999999999673 y[1] (closed_form) 15.39824972205317 y[1] (numeric) 15.398249722053716 absolute error 5.453415496958769e-13 relative error 3.541581410482296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999672 y[1] (closed_form) 15.41961103192464 y[1] (numeric) 15.419611031925191 absolute error 5.506706202140776e-13 relative error 3.571235481063521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9899999999996707 y[1] (closed_form) 15.441001975395233 y[1] (numeric) 15.441001975395787 absolute error 5.542233338928781e-13 relative error 3.5892964379903335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999996696 y[1] (closed_form) 15.462422593574326 y[1] (numeric) 15.462422593574884 absolute error 5.577760475716786e-13 relative error 3.6073005002687744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999673 y[1] (closed_form) 15.483872927628335 y[1] (numeric) 15.48387292762889 absolute error 5.542233338928781e-13 relative error 3.579358578330625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999676 y[1] (closed_form) 15.505353018780774 y[1] (numeric) 15.50535301878132 absolute error 5.471179065352771e-13 relative error 3.5285743308945212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.02999999999968 y[1] (closed_form) 15.526862908312346 y[1] (numeric) 15.52686290831288 absolute error 5.346834086594754e-13 relative error 3.443602302775735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999683 y[1] (closed_form) 15.548402637561015 y[1] (numeric) 15.548402637561544 absolute error 5.293543381412746e-13 relative error 3.4045576930358635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999686 y[1] (closed_form) 15.569972247922106 y[1] (numeric) 15.569972247922628 absolute error 5.222489107836736e-13 relative error 3.3542057909150766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.05999999999969 y[1] (closed_form) 15.591571780848364 y[1] (numeric) 15.591571780848879 absolute error 5.151434834260726e-13 relative error 3.303986863331125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999693 y[1] (closed_form) 15.613201277850035 y[1] (numeric) 15.613201277850544 absolute error 5.098144129078719e-13 relative error 3.2652779134483444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999696 y[1] (closed_form) 15.634860780494957 y[1] (numeric) 15.634860780495455 absolute error 4.973799150320701e-13 relative error 3.1812238178197866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0899999999997 y[1] (closed_form) 15.656550330408626 y[1] (numeric) 15.656550330409114 absolute error 4.884981308350689e-13 relative error 3.120087889899303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999703 y[1] (closed_form) 15.67826996927429 y[1] (numeric) 15.678269969274771 absolute error 4.813927034774679e-13 relative error 3.0704453005394347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999706 y[1] (closed_form) 15.700019738833017 y[1] (numeric) 15.70001973883349 absolute error 4.725109192804666e-13 relative error 3.0096199058383375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.11999999999971 y[1] (closed_form) 15.721799680883784 y[1] (numeric) 15.72179968088425 absolute error 4.654054919228656e-13 relative error 2.9602558318355534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999713 y[1] (closed_form) 15.743609837283554 y[1] (numeric) 15.743609837284014 absolute error 4.600764214046649e-13 relative error 2.922305787298701e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999716 y[1] (closed_form) 15.765450249947357 y[1] (numeric) 15.765450249947808 absolute error 4.511946372076636e-13 relative error 2.861920402236341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.14999999999972 y[1] (closed_form) 15.787320960848366 y[1] (numeric) 15.78732096084881 absolute error 4.440892098500626e-13 relative error 2.812948510715516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999723 y[1] (closed_form) 15.80922201201798 y[1] (numeric) 15.809222012018417 absolute error 4.369837824924616e-13 relative error 2.76410681158296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.169999999999726 y[1] (closed_form) 15.831153445545915 y[1] (numeric) 15.831153445546343 absolute error 4.2810199829546036e-13 relative error 2.7041743974499002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.17999999999973 y[1] (closed_form) 15.853115303580271 y[1] (numeric) 15.853115303580688 absolute error 4.1744385725905886e-13 relative error 2.6331976350716586e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999733 y[1] (closed_form) 15.875107628327614 y[1] (numeric) 15.875107628328026 absolute error 4.121147867408581e-13 relative error 2.595981056566058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999736 y[1] (closed_form) 15.897130462053068 y[1] (numeric) 15.897130462053472 absolute error 4.0323300254385686e-13 relative error 2.536514394886462e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.20999999999974 y[1] (closed_form) 15.919183847080388 y[1] (numeric) 15.919183847080783 absolute error 3.943512183468556e-13 relative error 2.4772075134943582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.219999999999743 y[1] (closed_form) 15.941267825792043 y[1] (numeric) 15.941267825792428 absolute error 3.8546943414985435e-13 relative error 2.418060083817093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999746 y[1] (closed_form) 15.963382440629294 y[1] (numeric) 15.963382440629672 absolute error 3.7836400679225335e-13 relative error 2.370199474951236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.23999999999975 y[1] (closed_form) 15.98552773409228 y[1] (numeric) 15.985527734092653 absolute error 3.730349362740526e-13 relative error 2.3335791128026525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999753 y[1] (closed_form) 16.007703748740106 y[1] (numeric) 16.007703748740468 absolute error 3.623767952376511e-13 relative error 2.2637650029359904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999756 y[1] (closed_form) 16.029910527190903 y[1] (numeric) 16.02991052719126 absolute error 3.552713678800501e-13 relative error 2.2163028750373703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.26999999999976 y[1] (closed_form) 16.052148112121937 y[1] (numeric) 16.052148112122293 absolute error 3.552713678800501e-13 relative error 2.213232555534193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999763 y[1] (closed_form) 16.074416546269674 y[1] (numeric) 16.074416546270022 absolute error 3.481659405224491e-13 relative error 2.16596315965973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2899999999997664 y[1] (closed_form) 16.096715872429865 y[1] (numeric) 16.096715872430206 absolute error 3.410605131648481e-13 relative error 2.1188204840529598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.29999999999977 y[1] (closed_form) 16.11904613345763 y[1] (numeric) 16.119046133457967 absolute error 3.375077994860476e-13 relative error 2.0938447392708727e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.309999999999773 y[1] (closed_form) 16.14140737226754 y[1] (numeric) 16.141407372267867 absolute error 3.268496584496461e-13 relative error 2.0249142525899236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3199999999997765 y[1] (closed_form) 16.163799631833704 y[1] (numeric) 16.163799631834028 absolute error 3.232969447708456e-13 relative error 2.0001296238177207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.32999999999978 y[1] (closed_form) 16.186222955189837 y[1] (numeric) 16.186222955190157 absolute error 3.197442310920451e-13 relative error 1.97540977890413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999783 y[1] (closed_form) 16.208677385429365 y[1] (numeric) 16.208677385429677 absolute error 3.126388037344441e-13 relative error 1.9288359950669862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3499999999997865 y[1] (closed_form) 16.23116296570549 y[1] (numeric) 16.231162965705792 absolute error 3.019806626980426e-13 relative error 1.8604992343191407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.35999999999979 y[1] (closed_form) 16.253679739231274 y[1] (numeric) 16.253679739231572 absolute error 2.984279490192421e-13 relative error 1.8360639178765827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999793 y[1] (closed_form) 16.276227749279734 y[1] (numeric) 16.27622774928002 absolute error 2.877698079828406e-13 relative error 1.768037486422953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3799999999997965 y[1] (closed_form) 16.29880703918391 y[1] (numeric) 16.298807039184194 absolute error 2.8421709430404007e-13 relative error 1.7437907794156632e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3899999999998 y[1] (closed_form) 16.321417652336965 y[1] (numeric) 16.321417652337246 absolute error 2.8066438062523957e-13 relative error 1.7196078588495219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999803 y[1] (closed_form) 16.344059632192252 y[1] (numeric) 16.344059632192533 absolute error 2.8066438062523957e-13 relative error 1.7172256277897198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4099999999998065 y[1] (closed_form) 16.36673302226341 y[1] (numeric) 16.366733022263688 absolute error 2.7711166694643907e-13 relative error 1.6931397767012416e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999981 y[1] (closed_form) 16.389437866124442 y[1] (numeric) 16.38943786612471 absolute error 2.6645352591003757e-13 relative error 1.6257636661277692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429999999999813 y[1] (closed_form) 16.412174207409794 y[1] (numeric) 16.412174207410047 absolute error 2.5224267119483557e-13 relative error 1.5369241637768666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4399999999998165 y[1] (closed_form) 16.434942089814445 y[1] (numeric) 16.434942089814694 absolute error 2.4868995751603507e-13 relative error 1.5131781794969674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.44999999999982 y[1] (closed_form) 16.457741557094003 y[1] (numeric) 16.457741557094245 absolute error 2.4158453015843406e-13 relative error 1.4679081532563052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999823 y[1] (closed_form) 16.480572653064755 y[1] (numeric) 16.48057265306499 absolute error 2.3447910280083306e-13 relative error 1.4227606512036397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999827 y[1] (closed_form) 16.50343542160379 y[1] (numeric) 16.503435421604024 absolute error 2.3447910280083306e-13 relative error 1.4207896526434045e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.47999999999983 y[1] (closed_form) 16.52632990664906 y[1] (numeric) 16.526329906649277 absolute error 2.1671553440683056e-13 relative error 1.311334916045934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999833 y[1] (closed_form) 16.549256152199465 y[1] (numeric) 16.549256152199675 absolute error 2.0961010704922955e-13 relative error 1.2665832537819018e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.499999999999837 y[1] (closed_form) 16.57221420231495 y[1] (numeric) 16.57221420231515 absolute error 1.9895196601282805e-13 relative error 1.2005152937562001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.50999999999984 y[1] (closed_form) 16.59520410111658 y[1] (numeric) 16.595204101116767 absolute error 1.8829382497642655e-13 relative error 1.1346279553365513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999843 y[1] (closed_form) 16.618225892786622 y[1] (numeric) 16.618225892786807 absolute error 1.8474111129762605e-13 relative error 1.1116776994698066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999847 y[1] (closed_form) 16.641279621568646 y[1] (numeric) 16.641279621568817 absolute error 1.7053025658242404e-13 relative error 1.0247424504627695e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.53999999999985 y[1] (closed_form) 16.664365331767588 y[1] (numeric) 16.664365331767748 absolute error 1.5987211554602254e-13 relative error 9.593651625079016e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999853 y[1] (closed_form) 16.687483067749856 y[1] (numeric) 16.687483067750005 absolute error 1.4921397450962104e-13 relative error 8.941670466650013e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999857 y[1] (closed_form) 16.7106328739434 y[1] (numeric) 16.710632873943542 absolute error 1.4210854715202004e-13 relative error 8.50407930232298e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.56999999999986 y[1] (closed_form) 16.733814794837798 y[1] (numeric) 16.733814794837937 absolute error 1.3855583347321954e-13 relative error 8.279990855161283e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999863 y[1] (closed_form) 16.75702887498436 y[1] (numeric) 16.757028874984492 absolute error 1.3145040611561853e-13 relative error 7.844493620933813e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999867 y[1] (closed_form) 16.780275158996186 y[1] (numeric) 16.78027515899631 absolute error 1.2434497875801753e-13 relative error 7.410187114324767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.59999999999987 y[1] (closed_form) 16.803553691548277 y[1] (numeric) 16.803553691548395 absolute error 1.1723955140041653e-13 relative error 6.977068872007996e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999873 y[1] (closed_form) 16.8268645173776 y[1] (numeric) 16.82686451737771 absolute error 1.1013412404281553e-13 relative error 6.545136435197227e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999877 y[1] (closed_form) 16.850207681283194 y[1] (numeric) 16.850207681283294 absolute error 9.947598300641403e-14 relative error 5.903546406547235e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.62999999999988 y[1] (closed_form) 16.873583228126233 y[1] (numeric) 16.873583228126332 absolute error 9.947598300641403e-14 relative error 5.895368023586095e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.639999999999883 y[1] (closed_form) 16.89699120283014 y[1] (numeric) 16.89699120283023 absolute error 8.881784197001252e-14 relative error 5.256429437871524e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999887 y[1] (closed_form) 16.920431650380642 y[1] (numeric) 16.920431650380724 absolute error 8.171241461241152e-14 relative error 4.829215725744994e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.65999999999989 y[1] (closed_form) 16.943904615825886 y[1] (numeric) 16.943904615825968 absolute error 8.171241461241152e-14 relative error 4.822525649494673e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999893 y[1] (closed_form) 16.967410144276506 y[1] (numeric) 16.96741014427658 absolute error 7.460698725481052e-14 relative error 4.397075724604745e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999897 y[1] (closed_form) 16.990948280905716 y[1] (numeric) 16.990948280905783 absolute error 6.750155989720952e-14 relative error 3.9727953249711905e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6899999999999 y[1] (closed_form) 17.0145190709494 y[1] (numeric) 17.01451907094946 absolute error 6.039613253960852e-14 relative error 3.549682026730271e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999903 y[1] (closed_form) 17.038122559706192 y[1] (numeric) 17.03812255970625 absolute error 5.684341886080802e-14 relative error 3.3362489711887737e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999907 y[1] (closed_form) 17.06175879253757 y[1] (numeric) 17.061758792537617 absolute error 4.618527782440651e-14 relative error 2.706947061319781e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.71999999999991 y[1] (closed_form) 17.085427814867938 y[1] (numeric) 17.085427814867977 absolute error 3.907985046680551e-14 relative error 2.2873205687479344e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999913 y[1] (closed_form) 17.109129672184714 y[1] (numeric) 17.109129672184743 absolute error 2.842170943040401e-14 relative error 1.6612013571099878e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999917 y[1] (closed_form) 17.132864410038426 y[1] (numeric) 17.132864410038444 absolute error 1.7763568394002505e-14 relative error 1.0368125240981035e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.74999999999992 y[1] (closed_form) 17.15663207404278 y[1] (numeric) 17.156632074042793 absolute error 1.4210854715202004e-14 relative error 8.283009540492738e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999923 y[1] (closed_form) 17.18043270987477 y[1] (numeric) 17.180432709874776 absolute error 7.105427357601002e-15 relative error 4.135767403295394e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999927 y[1] (closed_form) 17.20426636327475 y[1] (numeric) 17.204266363274748 absolute error 3.552713678800501e-15 relative error 2.0650189922566732e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.77999999999993 y[1] (closed_form) 17.228133080046533 y[1] (numeric) 17.228133080046522 absolute error 1.0658141036401503e-14 relative error 6.18647475433404e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999933 y[1] (closed_form) 17.252032906057465 y[1] (numeric) 17.252032906057448 absolute error 1.7763568394002505e-14 relative error 1.029650736856955e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999937 y[1] (closed_form) 17.27596588723853 y[1] (numeric) 17.27596588723851 absolute error 2.1316282072803006e-14 relative error 1.2338691921445033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.80999999999994 y[1] (closed_form) 17.299932069584433 y[1] (numeric) 17.299932069584404 absolute error 2.842170943040401e-14 relative error 1.6428798284343051e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999943 y[1] (closed_form) 17.32393149915367 y[1] (numeric) 17.323931499153634 absolute error 3.552713678800501e-14 relative error 2.0507548641450484e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.829999999999947 y[1] (closed_form) 17.347964222068647 y[1] (numeric) 17.3479642220686 absolute error 4.618527782440651e-14 relative error 2.6622880490872475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.83999999999995 y[1] (closed_form) 17.372030284515745 y[1] (numeric) 17.372030284515695 absolute error 4.973799150320701e-14 relative error 2.863107575142792e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8499999999999535 y[1] (closed_form) 17.396129732745425 y[1] (numeric) 17.396129732745365 absolute error 6.039613253960852e-14 relative error 3.4718143326973747e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999957 y[1] (closed_form) 17.4202626130723 y[1] (numeric) 17.42026261307223 absolute error 7.105427357601002e-14 relative error 4.078829071307475e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.86999999999996 y[1] (closed_form) 17.44442897187524 y[1] (numeric) 17.444428971875162 absolute error 7.815970093361102e-14 relative error 4.4804963842395705e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8799999999999635 y[1] (closed_form) 17.468628855597455 y[1] (numeric) 17.46862885559737 absolute error 8.526512829121202e-14 relative error 4.881042982597378e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.889999999999967 y[1] (closed_form) 17.492862310746574 y[1] (numeric) 17.49286231074648 absolute error 9.237055564881302e-14 relative error 5.280471200648853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999997 y[1] (closed_form) 17.51712938389475 y[1] (numeric) 17.517129383894655 absolute error 9.592326932761353e-14 relative error 5.475969676618669e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9099999999999735 y[1] (closed_form) 17.541430121678754 y[1] (numeric) 17.541430121678648 absolute error 1.0658141036401503e-13 relative error 6.075981811328787e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.919999999999977 y[1] (closed_form) 17.565764570800035 y[1] (numeric) 17.565764570799917 absolute error 1.1723955140041653e-13 relative error 6.674321002531622e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.92999999999998 y[1] (closed_form) 17.590132778024845 y[1] (numeric) 17.590132778024714 absolute error 1.3145040611561853e-13 relative error 7.472962698714704e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9399999999999835 y[1] (closed_form) 17.6145347901843 y[1] (numeric) 17.614534790184166 absolute error 1.3500311979441904e-13 relative error 7.664302316383032e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999987 y[1] (closed_form) 17.63897065417449 y[1] (numeric) 17.63897065417435 absolute error 1.3855583347321954e-13 relative error 7.855097453797765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.95999999999999 y[1] (closed_form) 17.66344041695657 y[1] (numeric) 17.663440416956416 absolute error 1.5276668818842154e-13 relative error 8.64875044624763e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999935 y[1] (closed_form) 17.687944125556815 y[1] (numeric) 17.68794412555666 absolute error 1.5631940186722204e-13 relative error 8.837624133002575e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999997 y[1] (closed_form) 17.712481827066767 y[1] (numeric) 17.712481827066604 absolute error 1.6342482922482304e-13 relative error 9.226534757827702e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.99 y[1] (closed_form) 17.737053568643283 y[1] (numeric) 17.737053568643116 absolute error 1.6697754290362354e-13 relative error 9.414051903119766e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; Iterations 4000 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.02500000000009%