##############ECHO OF PROBLEM################# ##############temp/expt_lin_sinpostode.ode################# diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , sin ( x ) ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; 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=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(0.0)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 0 y[1] (numeric) = 0.008877307336040212 absolute error = 0.008877307336040212 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 0 y[1] (numeric) = 0.01766119953132292 absolute error = 0.01766119953132292 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 0 y[1] (numeric) = 0.02635377595127347 absolute error = 0.02635377595127347 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 0 y[1] (numeric) = 0.03495711637786888 absolute error = 0.03495711637786888 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 0 y[1] (numeric) = 0.04347325431643802 absolute error = 0.04347325431643802 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.05190417826526245 absolute error = 0.05190417826526245 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.06025183294727688 absolute error = 0.06025183294727688 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.06851812050514298 absolute error = 0.06851812050514298 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.07670490166092121 absolute error = 0.07670490166092121 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.08481399684151841 absolute error = 0.08481399684151841 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.09284718727104441 absolute error = 0.09284718727104441 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1008062160311674 absolute error = 0.1008062160311674 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1086927890905172 absolute error = 0.1086927890905172 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1165085763041469 absolute error = 0.1165085763041469 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1242552123840237 absolute error = 0.1242552123840237 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1319342978414868 absolute error = 0.1319342978414868 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1395473999025731 absolute error = 0.1395473999025731 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1470960533970795 absolute error = 0.1470960533970795 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.1545817616221994 absolute error = 0.1545817616221994 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1620059971815392 absolute error = 0.1620059971815392 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1693702028002937 absolute error = 0.1693702028002937 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1766757921173285 absolute error = 0.1766757921173285 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.183924150454893 absolute error = 0.183924150454893 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1911166355666615 absolute error = 0.1911166355666615 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.1982545783647741 absolute error = 0.1982545783647741 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2053392836265258 absolute error = 0.2053392836265258 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.212372030681331 absolute error = 0.212372030681331 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2193540740785651 absolute error = 0.2193540740785651 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2262866442368694 absolute error = 0.2262866442368694 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.2331709480754775 absolute error = 0.2331709480754775 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2400081696281113 absolute error = 0.2400081696281113 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2467994706399666 absolute error = 0.2467994706399666 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2535459911482984 absolute error = 0.2535459911482984 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2602488500470921 absolute error = 0.2602488500470921 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2669091456362953 absolute error = 0.2669091456362953 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2735279561560645 absolute error = 0.2735279561560645 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2801063403064703 absolute error = 0.2801063403064703 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2866453377530837 absolute error = 0.2866453377530837 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2931459696188585 absolute error = 0.2931459696188585 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.2996092389627049 absolute error = 0.2996092389627049 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0 y[1] (numeric) = 0.3060361312451407 absolute error = 0.3060361312451407 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.312427614781391 absolute error = 0.312427614781391 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3187846411822954 absolute error = 0.3187846411822954 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3251081457833703 absolute error = 0.3251081457833703 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3313990480623629 absolute error = 0.3313990480623629 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3376582520456198 absolute error = 0.3376582520456198 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3438866467035858 absolute error = 0.3438866467035858 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.350085106335736 absolute error = 0.350085106335736 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3562544909452338 absolute error = 0.3562544909452338 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3623956466036014 absolute error = 0.3623956466036014 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.368509405805674 absolute error = 0.368509405805674 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.3745965878151063 absolute error = 0.3745965878151063 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0 y[1] (numeric) = 0.380657999000687 absolute error = 0.380657999000687 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.3866944331637097 absolute error = 0.3866944331637097 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.3927066718566414 absolute error = 0.3927066718566414 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.3986954846933211 absolute error = 0.3986954846933211 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4046616296509127 absolute error = 0.4046616296509127 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4106058533638322 absolute error = 0.4106058533638322 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.416528891409857 absolute error = 0.416528891409857 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4224314685886237 absolute error = 0.4224314685886237 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4283142991927097 absolute error = 0.4283142991927097 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4341780872714919 absolute error = 0.4341780872714919 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4400235268879641 absolute error = 0.4400235268879641 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0 y[1] (numeric) = 0.4458513023686949 absolute error = 0.4458513023686949 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4516620885470964 absolute error = 0.4516620885470964 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4574565510001738 absolute error = 0.4574565510001738 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4632353462789146 absolute error = 0.4632353462789146 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.468999122132477 absolute error = 0.468999122132477 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4747485177263279 absolute error = 0.4747485177263279 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.480484163854477 absolute error = 0.480484163854477 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4862066831459492 absolute error = 0.4862066831459492 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4919166902656335 absolute error = 0.4919166902656335 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.4976147921096398 absolute error = 0.4976147921096398 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5033015879952941 absolute error = 0.5033015879952941 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 0 y[1] (numeric) = 0.5089776698458952 absolute error = 0.5089776698458952 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5146436223703534 absolute error = 0.5146436223703534 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5203000232378285 absolute error = 0.5203000232378285 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5259474432474811 absolute error = 0.5259474432474811 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5315864464934418 absolute error = 0.5315864464934418 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5372175905251101 absolute error = 0.5372175905251101 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.54284142650288 absolute error = 0.54284142650288 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5484584993493944 absolute error = 0.5484584993493944 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5540693478964224 absolute error = 0.5540693478964224 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5596745050274529 absolute error = 0.5596745050274529 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5652744978160936 absolute error = 0.5652744978160936 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 0 y[1] (numeric) = 0.5708698476603619 absolute error = 0.5708698476603619 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.5764610704129529 absolute error = 0.5764610704129529 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.5820486765075642 absolute error = 0.5820486765075642 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 0 y[1] (numeric) = 0.5876331710813572 absolute error = 0.5876331710813572 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.5932150540936287 absolute error = 0.5932150540936287 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 0 y[1] (numeric) = 0.598794820440771 absolute error = 0.598794820440771 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 0.604372960067586 absolute error = 0.604372960067586 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 0.6099499580750265 absolute error = 0.6099499580750265 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 0.61552629482443 absolute error = 0.61552629482443 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 0.6211024460383102 absolute error = 0.6211024460383102 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 0.6266788828977655 absolute error = 0.6266788828977655 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 0.6322560721365718 absolute error = 0.6322560721365718 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 0.6378344761320102 absolute error = 0.6378344761320102 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 0.6434145529924938 absolute error = 0.6434145529924938 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 0.6489967566420433 absolute error = 0.6489967566420433 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 0 y[1] (numeric) = 0.6545815369016675 absolute error = 0.6545815369016675 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 0 y[1] (numeric) = 0.6601693395676999 absolute error = 0.6601693395676999 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 0 y[1] (numeric) = 0.6657606064871402 absolute error = 0.6657606064871402 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 0 y[1] (numeric) = 0.6713557756300528 absolute error = 0.6713557756300528 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 0.6769552811590636 absolute error = 0.6769552811590636 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 0 y[1] (numeric) = 0.6825595534960079 absolute error = 0.6825595534960079 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 0 y[1] (numeric) = 0.6881690193857685 absolute error = 0.6881690193857685 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 0.6937841019573484 absolute error = 0.6937841019573484 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 0.6994052207822223 absolute error = 0.6994052207822223 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 0 y[1] (numeric) = 0.7050327919300049 absolute error = 0.7050327919300049 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 0.710667228021476 absolute error = 0.710667228021476 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 0 y[1] (numeric) = 0.7163089382790035 absolute error = 0.7163089382790035 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 0 y[1] (numeric) = 0.7219583285743979 absolute error = 0.7219583285743979 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 0.7276158014742385 absolute error = 0.7276158014742385 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 0 y[1] (numeric) = 0.7332817562827046 absolute error = 0.7332817562827046 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 0 y[1] (numeric) = 0.7389565890819474 absolute error = 0.7389565890819474 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 0.7446406927700376 absolute error = 0.7446406927700376 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 0.7503344570965194 absolute error = 0.7503344570965194 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 0 y[1] (numeric) = 0.7560382686956056 absolute error = 0.7560382686956056 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 0.7617525111170457 absolute error = 0.7617525111170457 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 0 y[1] (numeric) = 0.7674775648546955 absolute error = 0.7674775648546955 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 0 y[1] (numeric) = 0.7732138073728232 absolute error = 0.7732138073728232 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 0 y[1] (numeric) = 0.7789616131301778 absolute error = 0.7789616131301778 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 0 y[1] (numeric) = 0.7847213536018518 absolute error = 0.7847213536018518 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 0 y[1] (numeric) = 0.7904933972989669 absolute error = 0.7904933972989669 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 0 y[1] (numeric) = 0.7962781097862111 absolute error = 0.7962781097862111 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 0.8020758536972549 absolute error = 0.8020758536972549 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 0 y[1] (numeric) = 0.8078869887480777 absolute error = 0.8078869887480777 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 0 y[1] (numeric) = 0.813711871748226 absolute error = 0.813711871748226 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 0 y[1] (numeric) = 0.8195508566100375 absolute error = 0.8195508566100375 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 0 y[1] (numeric) = 0.8254042943558543 absolute error = 0.8254042943558543 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 0 y[1] (numeric) = 0.8312725331232531 absolute error = 0.8312725331232531 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 0 y[1] (numeric) = 0.8371559181683194 absolute error = 0.8371559181683194 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 0 y[1] (numeric) = 0.8430547918669926 absolute error = 0.8430547918669926 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 0 y[1] (numeric) = 0.8489694937145088 absolute error = 0.8489694937145088 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 0.854900360322967 absolute error = 0.854900360322967 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 0 y[1] (numeric) = 0.8608477254170466 absolute error = 0.8608477254170466 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 0 y[1] (numeric) = 0.8668119198279008 absolute error = 0.8668119198279008 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 0 y[1] (numeric) = 0.8727932714852578 absolute error = 0.8727932714852578 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 0 y[1] (numeric) = 0.8787921054077472 absolute error = 0.8787921054077472 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 0 y[1] (numeric) = 0.8848087436914893 absolute error = 0.8848087436914893 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 0 y[1] (numeric) = 0.8908435054969671 absolute error = 0.8908435054969671 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 0 y[1] (numeric) = 0.8968967070342095 absolute error = 0.8968967070342095 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 0 y[1] (numeric) = 0.9029686615463161 absolute error = 0.9029686615463161 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 0.9090596792913469 absolute error = 0.9090596792913469 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 0 y[1] (numeric) = 0.91517006752261 absolute error = 0.91517006752261 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = 0 y[1] (numeric) = 0.921300130467371 absolute error = 0.921300130467371 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = 0 y[1] (numeric) = 0.9274501693040146 absolute error = 0.9274501693040146 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = 0 y[1] (numeric) = 0.9336204821376872 absolute error = 0.9336204821376872 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = 0 y[1] (numeric) = 0.9398113639744511 absolute error = 0.9398113639744511 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = 0 y[1] (numeric) = 0.9460231066939765 absolute error = 0.9460231066939765 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = 0 y[1] (numeric) = 0.9522559990208063 absolute error = 0.9522559990208063 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = 0 y[1] (numeric) = 0.958510326494218 absolute error = 0.958510326494218 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 0.9647863714367212 absolute error = 0.9647863714367212 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = 0 y[1] (numeric) = 0.9710844129212152 absolute error = 0.9710844129212152 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = 0 y[1] (numeric) = 0.9774047267368429 absolute error = 0.9774047267368429 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = 0 y[1] (numeric) = 0.9837475853535719 absolute error = 0.9837475853535719 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = 0 y[1] (numeric) = 0.9901132578855367 absolute error = 0.9901132578855367 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = 0 y[1] (numeric) = 0.9965020100531743 absolute error = 0.9965020100531743 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = 0 y[1] (numeric) = 1.002914104144188 absolute error = 1.002914104144188 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = 0 y[1] (numeric) = 1.009349798973376 absolute error = 1.009349798973376 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = 0 y[1] (numeric) = 1.015809349841355 absolute error = 1.015809349841355 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 1.022293008492219 absolute error = 1.022293008492219 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = 0 y[1] (numeric) = 1.028801023070171 absolute error = 1.028801023070171 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = 0 y[1] (numeric) = 1.035333638075163 absolute error = 1.035333638075163 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = 0 y[1] (numeric) = 1.041891094317572 absolute error = 1.041891094317572 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = 0 y[1] (numeric) = 1.048473628871973 absolute error = 1.048473628871973 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = 0 y[1] (numeric) = 1.055081475030028 absolute error = 1.055081475030028 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = 0 y[1] (numeric) = 1.061714862252536 absolute error = 1.061714862252536 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = 0 y[1] (numeric) = 1.068374016120689 absolute error = 1.068374016120689 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = 0 y[1] (numeric) = 1.075059158286574 absolute error = 1.075059158286574 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 1.081770506422954 absolute error = 1.081770506422954 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = 0 y[1] (numeric) = 1.088508274172379 absolute error = 1.088508274172379 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = 0 y[1] (numeric) = 1.095272671095675 absolute error = 1.095272671095675 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = 0 y[1] (numeric) = 1.102063902619834 absolute error = 1.102063902619834 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = 0 y[1] (numeric) = 1.108882169985374 absolute error = 1.108882169985374 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = 0 y[1] (numeric) = 1.115727670193195 absolute error = 1.115727670193195 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = 0 y[1] (numeric) = 1.12260059595099 absolute error = 1.12260059595099 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = 0 y[1] (numeric) = 1.129501135619244 absolute error = 1.129501135619244 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = 0 y[1] (numeric) = 1.13642947315688 absolute error = 1.13642947315688 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = 0 y[1] (numeric) = 1.143385788066591 absolute error = 1.143385788066591 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = 0 y[1] (numeric) = 1.150370255339914 absolute error = 1.150370255339914 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = 0 y[1] (numeric) = 1.157383045402077 absolute error = 1.157383045402077 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = 0 y[1] (numeric) = 1.164424324056698 absolute error = 1.164424324056698 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = 0 y[1] (numeric) = 1.171494252430353 absolute error = 1.171494252430353 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = 0 y[1] (numeric) = 1.178592986917089 absolute error = 1.178592986917089 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = 0 y[1] (numeric) = 1.18572067912291 absolute error = 1.18572067912291 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = 0 y[1] (numeric) = 1.192877475810311 absolute error = 1.192877475810311 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = 0 y[1] (numeric) = 1.200063518842896 absolute error = 1.200063518842896 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = 0 y[1] (numeric) = 1.207278945130126 absolute error = 1.207278945130126 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = 0 y[1] (numeric) = 1.214523886572275 absolute error = 1.214523886572275 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = 0 y[1] (numeric) = 1.221798470005619 absolute error = 1.221798470005619 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = 0 y[1] (numeric) = 1.229102817147925 absolute error = 1.229102817147925 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = 0 y[1] (numeric) = 1.236437044544298 absolute error = 1.236437044544298 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = 0 y[1] (numeric) = 1.243801263513423 absolute error = 1.243801263513423 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = 0 y[1] (numeric) = 1.251195580094275 absolute error = 1.251195580094275 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = 0 y[1] (numeric) = 1.258620094993338 absolute error = 1.258620094993338 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = 0 y[1] (numeric) = 1.266074903532394 absolute error = 1.266074903532394 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = 0 y[1] (numeric) = 1.273560095596937 absolute error = 1.273560095596937 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = 0 y[1] (numeric) = 1.281075755585259 absolute error = 1.281075755585259 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = 0 y[1] (numeric) = 1.288621962358272 absolute error = 1.288621962358272 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = 0 y[1] (numeric) = 1.296198789190121 absolute error = 1.296198789190121 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = 0 y[1] (numeric) = 1.303806303719635 absolute error = 1.303806303719635 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = 0 y[1] (numeric) = 1.311444567902674 absolute error = 1.311444567902674 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = 0 y[1] (numeric) = 1.319113637965434 absolute error = 1.319113637965434 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = 0 y[1] (numeric) = 1.326813564358758 absolute error = 1.326813564358758 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = 0 y[1] (numeric) = 1.334544391713506 absolute error = 1.334544391713506 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = 0 y[1] (numeric) = 1.342306158797039 absolute error = 1.342306158797039 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = 0 y[1] (numeric) = 1.350098898470884 absolute error = 1.350098898470884 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = 0 y[1] (numeric) = 1.357922637649612 absolute error = 1.357922637649612 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = 0 y[1] (numeric) = 1.365777397260999 absolute error = 1.365777397260999 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = 0 y[1] (numeric) = 1.373663192207519 absolute error = 1.373663192207519 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = 0 y[1] (numeric) = 1.381580031329218 absolute error = 1.381580031329218 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = 0 y[1] (numeric) = 1.389527917368025 absolute error = 1.389527917368025 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = 0 y[1] (numeric) = 1.397506846933551 absolute error = 1.397506846933551 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = 0 y[1] (numeric) = 1.405516810470428 absolute error = 1.405516810470428 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = 0 y[1] (numeric) = 1.413557792227235 absolute error = 1.413557792227235 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = 0 y[1] (numeric) = 1.421629770227061 absolute error = 1.421629770227061 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = 0 y[1] (numeric) = 1.429732716239768 absolute error = 1.429732716239768 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = 0 y[1] (numeric) = 1.437866595755971 absolute error = 1.437866595755971 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = 0 y[1] (numeric) = 1.446031367962821 absolute error = 1.446031367962821 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = 0 y[1] (numeric) = 1.454226985721606 absolute error = 1.454226985721606 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = 0 y[1] (numeric) = 1.462453395547236 absolute error = 1.462453395547236 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = 0 y[1] (numeric) = 1.470710537589639 absolute error = 1.470710537589639 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = 0 y[1] (numeric) = 1.478998345617137 absolute error = 1.478998345617137 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = 0 y[1] (numeric) = 1.48731674700181 absolute error = 1.48731674700181 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = 0 y[1] (numeric) = 1.495665662706923 absolute error = 1.495665662706923 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = 0 y[1] (numeric) = 1.504045007276437 absolute error = 1.504045007276437 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = 0 y[1] (numeric) = 1.512454688826644 absolute error = 1.512454688826644 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = 0 y[1] (numeric) = 1.520894609039974 absolute error = 1.520894609039974 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = 0 y[1] (numeric) = 1.529364663160994 absolute error = 1.529364663160994 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = 0 y[1] (numeric) = 1.537864739994656 absolute error = 1.537864739994656 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = 0 y[1] (numeric) = 1.546394721906801 absolute error = 1.546394721906801 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = 0 y[1] (numeric) = 1.554954484826983 absolute error = 1.554954484826983 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = 0 y[1] (numeric) = 1.5635438982536 absolute error = 1.5635438982536 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 1.572162825261418 absolute error = 1.572162825261418 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = 0 y[1] (numeric) = 1.580811122511457 absolute error = 1.580811122511457 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = 0 y[1] (numeric) = 1.58948864026331 absolute error = 1.58948864026331 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = 0 y[1] (numeric) = 1.598195222389889 absolute error = 1.598195222389889 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = 0 y[1] (numeric) = 1.606930706394644 absolute error = 1.606930706394644 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = 0 y[1] (numeric) = 1.615694923431255 absolute error = 1.615694923431255 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = 0 y[1] (numeric) = 1.624487698325827 absolute error = 1.624487698325827 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = 0 y[1] (numeric) = 1.63330884960161 absolute error = 1.63330884960161 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = 0 y[1] (numeric) = 1.642158189506241 absolute error = 1.642158189506241 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = 0 y[1] (numeric) = 1.651035524041545 absolute error = 1.651035524041545 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = 0 y[1] (numeric) = 1.659940652995884 absolute error = 1.659940652995884 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = 0 y[1] (numeric) = 1.668873369979079 absolute error = 1.668873369979079 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = 0 y[1] (numeric) = 1.677833462459907 absolute error = 1.677833462459907 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = 0 y[1] (numeric) = 1.686820711806179 absolute error = 1.686820711806179 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = 0 y[1] (numeric) = 1.695834893327399 absolute error = 1.695834893327399 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = 0 y[1] (numeric) = 1.704875776320015 absolute error = 1.704875776320015 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = 0 y[1] (numeric) = 1.71394312411525 absolute error = 1.71394312411525 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = 0 y[1] (numeric) = 1.723036694129519 absolute error = 1.723036694129519 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = 0 y[1] (numeric) = 1.732156237917423 absolute error = 1.732156237917423 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = 0 y[1] (numeric) = 1.741301501227317 absolute error = 1.741301501227317 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = 0 y[1] (numeric) = 1.75047222405944 absolute error = 1.75047222405944 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = 0 y[1] (numeric) = 1.759668140726597 absolute error = 1.759668140726597 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = 0 y[1] (numeric) = 1.768888979917376 absolute error = 1.768888979917376 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = 0 y[1] (numeric) = 1.778134464761903 absolute error = 1.778134464761903 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = 0 y[1] (numeric) = 1.787404312900087 absolute error = 1.787404312900087 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = 0 y[1] (numeric) = 1.796698236552365 absolute error = 1.796698236552365 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = 0 y[1] (numeric) = 1.806015942592913 absolute error = 1.806015942592913 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 1.815357132625295 absolute error = 1.815357132625295 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = 0 y[1] (numeric) = 1.824721503060537 absolute error = 1.824721503060537 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = 0 y[1] (numeric) = 1.834108745197587 absolute error = 1.834108745197587 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = 0 y[1] (numeric) = 1.843518545306143 absolute error = 1.843518545306143 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = 0 y[1] (numeric) = 1.852950584711803 absolute error = 1.852950584711803 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = 0 y[1] (numeric) = 1.862404539883521 absolute error = 1.862404539883521 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = 0 y[1] (numeric) = 1.871880082523318 absolute error = 1.871880082523318 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = 0 y[1] (numeric) = 1.881376879658224 absolute error = 1.881376879658224 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = 0 y[1] (numeric) = 1.890894593734394 absolute error = 1.890894593734394 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = 0 y[1] (numeric) = 1.900432882713387 absolute error = 1.900432882713387 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = 0 y[1] (numeric) = 1.909991400170527 absolute error = 1.909991400170527 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = 0 y[1] (numeric) = 1.919569795395333 absolute error = 1.919569795395333 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = 0 y[1] (numeric) = 1.929167713493956 absolute error = 1.929167713493956 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = 0 y[1] (numeric) = 1.938784795493581 absolute error = 1.938784795493581 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = 0 y[1] (numeric) = 1.948420678448732 absolute error = 1.948420678448732 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = 0 y[1] (numeric) = 1.958074995549453 absolute error = 1.958074995549453 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = 0 y[1] (numeric) = 1.967747376231285 absolute error = 1.967747376231285 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = 0 y[1] (numeric) = 1.977437446287 absolute error = 1.977437446287 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = 0 y[1] (numeric) = 1.987144827980034 absolute error = 1.987144827980034 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = 0 y[1] (numeric) = 1.996869140159556 absolute error = 1.996869140159556 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = 0 y[1] (numeric) = 2.006609998377124 absolute error = 2.006609998377124 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = 0 y[1] (numeric) = 2.016367015004849 absolute error = 2.016367015004849 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = 0 y[1] (numeric) = 2.026139799355034 absolute error = 2.026139799355034 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = 0 y[1] (numeric) = 2.035927957801196 absolute error = 2.035927957801196 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = 0 y[1] (numeric) = 2.045731093900423 absolute error = 2.045731093900423 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = 0 y[1] (numeric) = 2.055548808517003 absolute error = 2.055548808517003 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = 0 y[1] (numeric) = 2.065380699947244 absolute error = 2.065380699947244 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = 0 y[1] (numeric) = 2.075226364045438 absolute error = 2.075226364045438 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 2.085085394350879 absolute error = 2.085085394350879 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = 0 y[1] (numeric) = 2.094957382215889 absolute error = 2.094957382215889 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = 0 y[1] (numeric) = 2.104841916934764 absolute error = 2.104841916934764 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = 0 y[1] (numeric) = 2.11473858587357 absolute error = 2.11473858587357 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = 0 y[1] (numeric) = 2.124646974600742 absolute error = 2.124646974600742 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = 0 y[1] (numeric) = 2.13456666701838 absolute error = 2.13456666701838 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = 0 y[1] (numeric) = 2.144497245494191 absolute error = 2.144497245494191 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = 0 y[1] (numeric) = 2.154438290994004 absolute error = 2.154438290994004 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = 0 y[1] (numeric) = 2.164389383214774 absolute error = 2.164389383214774 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = 0 y[1] (numeric) = 2.174350100718018 absolute error = 2.174350100718018 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = 0 y[1] (numeric) = 2.184320021063583 absolute error = 2.184320021063583 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = 0 y[1] (numeric) = 2.194298720943711 absolute error = 2.194298720943711 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = 0 y[1] (numeric) = 2.204285776317288 absolute error = 2.204285776317288 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = 0 y[1] (numeric) = 2.214280762544231 absolute error = 2.214280762544231 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = 0 y[1] (numeric) = 2.224283254519919 absolute error = 2.224283254519919 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = 0 y[1] (numeric) = 2.234292826809613 absolute error = 2.234292826809613 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = 0 y[1] (numeric) = 2.244309053782782 absolute error = 2.244309053782782 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = 0 y[1] (numeric) = 2.254331509747256 absolute error = 2.254331509747256 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = 0 y[1] (numeric) = 2.264359769083146 absolute error = 2.264359769083146 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = 0 y[1] (numeric) = 2.274393406376455 absolute error = 2.274393406376455 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = 0 y[1] (numeric) = 2.284431996552294 absolute error = 2.284431996552294 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = 0 y[1] (numeric) = 2.294475115007649 absolute error = 2.294475115007649 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = 0 y[1] (numeric) = 2.304522337743634 absolute error = 2.304522337743634 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = 0 y[1] (numeric) = 2.314573241497123 absolute error = 2.314573241497123 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = 0 y[1] (numeric) = 2.324627403871739 absolute error = 2.324627403871739 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = 0 y[1] (numeric) = 2.334684403468097 absolute error = 2.334684403468097 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = 0 y[1] (numeric) = 2.344743820013252 absolute error = 2.344743820013252 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = 0 y[1] (numeric) = 2.354805234489267 absolute error = 2.354805234489267 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = 0 y[1] (numeric) = 2.364868229260859 absolute error = 2.364868229260859 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = 0 y[1] (numeric) = 2.37493238820204 absolute error = 2.37493238820204 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = 0 y[1] (numeric) = 2.384997296821691 absolute error = 2.384997296821691 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = 0 y[1] (numeric) = 2.395062542388013 absolute error = 2.395062542388013 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = 0 y[1] (numeric) = 2.405127714051796 absolute error = 2.405127714051796 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = 0 y[1] (numeric) = 2.415192402968428 absolute error = 2.415192402968428 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = 0 y[1] (numeric) = 2.425256202418606 absolute error = 2.425256202418606 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = 0 y[1] (numeric) = 2.43531870792768 absolute error = 2.43531870792768 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 2.445379517383577 absolute error = 2.445379517383577 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = 0 y[1] (numeric) = 2.455438231153248 absolute error = 2.455438231153248 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = 0 y[1] (numeric) = 2.465494452197587 absolute error = 2.465494452197587 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = 0 y[1] (numeric) = 2.475547786184768 absolute error = 2.475547786184768 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = 0 y[1] (numeric) = 2.485597841601956 absolute error = 2.485597841601956 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = 0 y[1] (numeric) = 2.495644229865328 absolute error = 2.495644229865328 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = 0 y[1] (numeric) = 2.50568656542838 absolute error = 2.50568656542838 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = 0 y[1] (numeric) = 2.51572446588845 absolute error = 2.51572446588845 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = 0 y[1] (numeric) = 2.525757552091434 absolute error = 2.525757552091434 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = 0 y[1] (numeric) = 2.535785448234638 absolute error = 2.535785448234638 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = 0 y[1] (numeric) = 2.545807781967729 absolute error = 2.545807781967729 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = 0 y[1] (numeric) = 2.55582418449176 absolute error = 2.55582418449176 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = 0 y[1] (numeric) = 2.56583429065621 absolute error = 2.56583429065621 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = 0 y[1] (numeric) = 2.575837739054018 absolute error = 2.575837739054018 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = 0 y[1] (numeric) = 2.585834172114578 absolute error = 2.585834172114578 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = 0 y[1] (numeric) = 2.595823236194651 absolute error = 2.595823236194651 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = 0 y[1] (numeric) = 2.605804581667184 absolute error = 2.605804581667184 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = 0 y[1] (numeric) = 2.615777863007992 absolute error = 2.615777863007992 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = 0 y[1] (numeric) = 2.625742738880282 absolute error = 2.625742738880282 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = 0 y[1] (numeric) = 2.635698872216997 absolute error = 2.635698872216997 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = 0 y[1] (numeric) = 2.645645930300957 absolute error = 2.645645930300957 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = 0 y[1] (numeric) = 2.655583584842772 absolute error = 2.655583584842772 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = 0 y[1] (numeric) = 2.665511512056516 absolute error = 2.665511512056516 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = 0 y[1] (numeric) = 2.675429392733136 absolute error = 2.675429392733136 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = 0 y[1] (numeric) = 2.685336912311595 absolute error = 2.685336912311595 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = 0 y[1] (numeric) = 2.695233760947717 absolute error = 2.695233760947717 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = 0 y[1] (numeric) = 2.705119633580739 absolute error = 2.705119633580739 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 2.714994229997557 absolute error = 2.714994229997557 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = 0 y[1] (numeric) = 2.724857254894647 absolute error = 2.724857254894647 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = 0 y[1] (numeric) = 2.734708417937669 absolute error = 2.734708417937669 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = 0 y[1] (numeric) = 2.744547433818748 absolute error = 2.744547433818748 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = 0 y[1] (numeric) = 2.754374022311418 absolute error = 2.754374022311418 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = 0 y[1] (numeric) = 2.764187908323246 absolute error = 2.764187908323246 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = 0 y[1] (numeric) = 2.77398882194612 absolute error = 2.77398882194612 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = 0 y[1] (numeric) = 2.783776498504214 absolute error = 2.783776498504214 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = 0 y[1] (numeric) = 2.793550678599635 absolute error = 2.793550678599635 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = 0 y[1] (numeric) = 2.80331110815575 absolute error = 2.80331110815575 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = 0 y[1] (numeric) = 2.813057538458205 absolute error = 2.813057538458205 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = 0 y[1] (numeric) = 2.822789726193654 absolute error = 2.822789726193654 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = 0 y[1] (numeric) = 2.832507433486187 absolute error = 2.832507433486187 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = 0 y[1] (numeric) = 2.842210427931494 absolute error = 2.842210427931494 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = 0 y[1] (numeric) = 2.85189848262876 absolute error = 2.85189848262876 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = 0 y[1] (numeric) = 2.86157137621032 absolute error = 2.86157137621032 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = 0 y[1] (numeric) = 2.871228892869074 absolute error = 2.871228892869074 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = 0 y[1] (numeric) = 2.880870822383701 absolute error = 2.880870822383701 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = 0 y[1] (numeric) = 2.890496960141671 absolute error = 2.890496960141671 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = 0 y[1] (numeric) = 2.90010710716009 absolute error = 2.90010710716009 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = 0 y[1] (numeric) = 2.909701070104395 absolute error = 2.909701070104395 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = 0 y[1] (numeric) = 2.919278661304914 absolute error = 2.919278661304914 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = 0 y[1] (numeric) = 2.928839698771334 absolute error = 2.928839698771334 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = 0 y[1] (numeric) = 2.938384006205081 absolute error = 2.938384006205081 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = 0 y[1] (numeric) = 2.947911413009655 absolute error = 2.947911413009655 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = 0 y[1] (numeric) = 2.957421754298941 absolute error = 2.957421754298941 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = 0 y[1] (numeric) = 2.966914870903517 absolute error = 2.966914870903517 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 2.976390609375011 absolute error = 2.976390609375011 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = 0 y[1] (numeric) = 2.985848821988504 absolute error = 2.985848821988504 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = 0 y[1] (numeric) = 2.995289366743048 absolute error = 2.995289366743048 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = 0 y[1] (numeric) = 3.004712107360299 absolute error = 3.004712107360299 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = 0 y[1] (numeric) = 3.014116913281317 absolute error = 3.014116913281317 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = 0 y[1] (numeric) = 3.02350365966156 absolute error = 3.02350365966156 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = 0 y[1] (numeric) = 3.032872227364108 absolute error = 3.032872227364108 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = 0 y[1] (numeric) = 3.042222502951153 absolute error = 3.042222502951153 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = 0 y[1] (numeric) = 3.051554378673786 absolute error = 3.051554378673786 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = 0 y[1] (numeric) = 3.060867752460126 absolute error = 3.060867752460126 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = 0 y[1] (numeric) = 3.070162527901823 absolute error = 3.070162527901823 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = 0 y[1] (numeric) = 3.079438614238968 absolute error = 3.079438614238968 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = 0 y[1] (numeric) = 3.088695926343454 absolute error = 3.088695926343454 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = 0 y[1] (numeric) = 3.097934384700832 absolute error = 3.097934384700832 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = 0 y[1] (numeric) = 3.107153915390686 absolute error = 3.107153915390686 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = 0 y[1] (numeric) = 3.116354450065573 absolute error = 3.116354450065573 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = 0 y[1] (numeric) = 3.12553592592858 absolute error = 3.12553592592858 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = 0 y[1] (numeric) = 3.13469828570951 absolute error = 3.13469828570951 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = 0 y[1] (numeric) = 3.14384147763977 absolute error = 3.14384147763977 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = 0 y[1] (numeric) = 3.152965455425969 absolute error = 3.152965455425969 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = 0 y[1] (numeric) = 3.16207017822229 absolute error = 3.16207017822229 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = 0 y[1] (numeric) = 3.171155610601671 absolute error = 3.171155610601671 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = 0 y[1] (numeric) = 3.180221722525822 absolute error = 3.180221722525822 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = 0 y[1] (numeric) = 3.189268489314139 absolute error = 3.189268489314139 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = 0 y[1] (numeric) = 3.198295891611539 absolute error = 3.198295891611539 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = 0 y[1] (numeric) = 3.207303915355269 absolute error = 3.207303915355269 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = 0 y[1] (numeric) = 3.216292551740718 absolute error = 3.216292551740718 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = 0 y[1] (numeric) = 3.22526179718628 absolute error = 3.22526179718628 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = 0 y[1] (numeric) = 3.234211653297308 absolute error = 3.234211653297308 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = 0 y[1] (numeric) = 3.243142126829195 absolute error = 3.243142126829195 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = 0 y[1] (numeric) = 3.252053229649628 absolute error = 3.252053229649628 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = 0 y[1] (numeric) = 3.260944978700043 absolute error = 3.260944978700043 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = 0 y[1] (numeric) = 3.269817395956337 absolute error = 3.269817395956337 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = 0 y[1] (numeric) = 3.278670508388863 absolute error = 3.278670508388863 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = 0 y[1] (numeric) = 3.287504347921756 absolute error = 3.287504347921756 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = 0 y[1] (numeric) = 3.296318951391615 absolute error = 3.296318951391615 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = 0 y[1] (numeric) = 3.305114360505598 absolute error = 3.305114360505598 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = 0 y[1] (numeric) = 3.313890621798956 absolute error = 3.313890621798956 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = 0 y[1] (numeric) = 3.322647786592039 absolute error = 3.322647786592039 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = 0 y[1] (numeric) = 3.33138591094683 absolute error = 3.33138591094683 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = 0 y[1] (numeric) = 3.340105055623018 absolute error = 3.340105055623018 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = 0 y[1] (numeric) = 3.348805286033673 absolute error = 3.348805286033673 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = 0 y[1] (numeric) = 3.357486672200532 absolute error = 3.357486672200532 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = 0 y[1] (numeric) = 3.366149288708957 absolute error = 3.366149288708957 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = 0 y[1] (numeric) = 3.374793214662578 absolute error = 3.374793214662578 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = 0 y[1] (numeric) = 3.38341853363767 absolute error = 3.38341853363767 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = 0 y[1] (numeric) = 3.392025333637291 absolute error = 3.392025333637291 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = 0 y[1] (numeric) = 3.400613707045213 absolute error = 3.400613707045213 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = 0 y[1] (numeric) = 3.409183750579682 absolute error = 3.409183750579682 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = 0 y[1] (numeric) = 3.417735565247042 absolute error = 3.417735565247042 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = 0 y[1] (numeric) = 3.426269256295244 absolute error = 3.426269256295244 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = 0 y[1] (numeric) = 3.43478493316728 absolute error = 3.43478493316728 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = 0 y[1] (numeric) = 3.443282709454566 absolute error = 3.443282709454566 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = 0 y[1] (numeric) = 3.451762702850314 absolute error = 3.451762702850314 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = 0 y[1] (numeric) = 3.460225035102905 absolute error = 3.460225035102905 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = 0 y[1] (numeric) = 3.468669831969308 absolute error = 3.468669831969308 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = 0 y[1] (numeric) = 3.47709722316856 absolute error = 3.47709722316856 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = 0 y[1] (numeric) = 3.485507342335344 absolute error = 3.485507342335344 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = 0 y[1] (numeric) = 3.493900326973681 absolute error = 3.493900326973681 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = 0 y[1] (numeric) = 3.502276318410771 absolute error = 3.502276318410771 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = 0 y[1] (numeric) = 3.510635461751005 absolute error = 3.510635461751005 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = 0 y[1] (numeric) = 3.518977905830171 absolute error = 3.518977905830171 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = 0 y[1] (numeric) = 3.527303803169868 absolute error = 3.527303803169868 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = 0 y[1] (numeric) = 3.535613309932177 absolute error = 3.535613309932177 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = 0 y[1] (numeric) = 3.543906585874586 absolute error = 3.543906585874586 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = 0 y[1] (numeric) = 3.552183794305196 absolute error = 3.552183794305196 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = 0 y[1] (numeric) = 3.560445102038241 absolute error = 3.560445102038241 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = 0 y[1] (numeric) = 3.568690679349931 absolute error = 3.568690679349931 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = 0 y[1] (numeric) = 3.576920699934631 absolute error = 3.576920699934631 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = 0 y[1] (numeric) = 3.585135340861423 absolute error = 3.585135340861423 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = 0 y[1] (numeric) = 3.593334782531028 absolute error = 3.593334782531028 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = 0 y[1] (numeric) = 3.601519208633144 absolute error = 3.601519208633144 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = 0 y[1] (numeric) = 3.609688806104196 absolute error = 3.609688806104196 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = 0 y[1] (numeric) = 3.617843765085512 absolute error = 3.617843765085512 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = 0 y[1] (numeric) = 3.625984278881954 absolute error = 3.625984278881954 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = 0 y[1] (numeric) = 3.634110543921013 absolute error = 3.634110543921013 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = 0 y[1] (numeric) = 3.642222759712372 absolute error = 3.642222759712372 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = 0 y[1] (numeric) = 3.650321128807971 absolute error = 3.650321128807971 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = 0 y[1] (numeric) = 3.658405856762563 absolute error = 3.658405856762563 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = 0 y[1] (numeric) = 3.666477152094795 absolute error = 3.666477152094795 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = 0 y[1] (numeric) = 3.674535226248813 absolute error = 3.674535226248813 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = 0 y[1] (numeric) = 3.682580293556401 absolute error = 3.682580293556401 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = 0 y[1] (numeric) = 3.690612571199675 absolute error = 3.690612571199675 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = 0 y[1] (numeric) = 3.698632279174329 absolute error = 3.698632279174329 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = 0 y[1] (numeric) = 3.70663964025345 absolute error = 3.70663964025345 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = 0 y[1] (numeric) = 3.714634879951909 absolute error = 3.714634879951909 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = 0 y[1] (numeric) = 3.722618226491334 absolute error = 3.722618226491334 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = 0 y[1] (numeric) = 3.730589910765673 absolute error = 3.730589910765673 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = 0 y[1] (numeric) = 3.738550166307358 absolute error = 3.738550166307358 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = 0 y[1] (numeric) = 3.746499229254066 absolute error = 3.746499229254066 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = 0 y[1] (numeric) = 3.754437338316092 absolute error = 3.754437338316092 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = 0 y[1] (numeric) = 3.762364734744342 absolute error = 3.762364734744342 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = 0 y[1] (numeric) = 3.770281662298927 absolute error = 3.770281662298927 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = 0 y[1] (numeric) = 3.7781883672184 absolute error = 3.7781883672184 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = 0 y[1] (numeric) = 3.786085098189601 absolute error = 3.786085098189601 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = 0 y[1] (numeric) = 3.793972106318142 absolute error = 3.793972106318142 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = 0 y[1] (numeric) = 3.801849645099513 absolute error = 3.801849645099513 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = 0 y[1] (numeric) = 3.809717970390833 absolute error = 3.809717970390833 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = 0 y[1] (numeric) = 3.817577340383216 absolute error = 3.817577340383216 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y[1] (closed_form) = 0 y[1] (numeric) = 3.825428015574789 absolute error = 3.825428015574789 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y[1] (closed_form) = 0 y[1] (numeric) = 3.833270258744333 absolute error = 3.833270258744333 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y[1] (closed_form) = 0 y[1] (numeric) = 3.841104334925567 absolute error = 3.841104334925567 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y[1] (closed_form) = 0 y[1] (numeric) = 3.848930511382056 absolute error = 3.848930511382056 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = 0 y[1] (numeric) = 3.856749057582759 absolute error = 3.856749057582759 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y[1] (closed_form) = 0 y[1] (numeric) = 3.864560245178204 absolute error = 3.864560245178204 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 3.872364347977294 absolute error = 3.872364347977294 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 3.880161641924736 absolute error = 3.880161641924736 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 3.8879524050791 absolute error = 3.8879524050791 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 3.89573691759149 absolute error = 3.89573691759149 relative error = -1 % Desired digits = 8 Estimated correct digits = 12 Correct digits = -16 h = 0.001 Finished! diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , sin ( x ) ) ; Iterations = 4900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %