##############ECHO OF PROBLEM################# ##############temp/mult_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb 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 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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 def exact_soln_y (x) x = c(x) return(c(0.2) * sin(c(x)) - c(0.2) * cos(c(x)) * c(x) - c(0.3) * cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) -0.29843464955960264 y[1] (numeric) -0.29843464955960264 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) -0.2980982033746214 y[1] (numeric) -0.29809820337462145 absolute error 5.551115123125783e-17 relative error 1.8621766452411894e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) -0.2977275565588688 y[1] (numeric) -0.2977275565588688 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) -0.2973223488270819 y[1] (numeric) -0.2973223488270819 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) -0.2968822238288977 y[1] (numeric) -0.29688222382889773 absolute error 5.551115123125783e-17 relative error 1.8698038068877647e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) -0.2964068292241741 y[1] (numeric) -0.29640682922417416 absolute error 5.551115123125783e-17 relative error 1.87280270756766e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) -0.2958958167578589 y[1] (numeric) -0.29589581675785903 absolute error 1.1102230246251565e-16 relative error 3.752074080633887e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) -0.295348842334394 y[1] (numeric) -0.2953488423343942 absolute error 1.6653345369377348e-16 relative error 5.6385341610794015e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) -0.29476556609164395 y[1] (numeric) -0.29476556609164406 absolute error 1.1102230246251565e-16 relative error 3.7664610535953276e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) -0.29414565247433727 y[1] (numeric) -0.2941456524743373 absolute error 5.551115123125783e-17 relative error 1.8871994457270074e-14% 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) -0.29348877030700987 y[1] (numeric) -0.29348877030701 absolute error 1.1102230246251565e-16 relative error 3.782846694487783e-14% 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) -0.2927945928664388 y[1] (numeric) -0.2927945928664389 absolute error 1.1102230246251565e-16 relative error 3.7918153260828694e-14% 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) -0.29206279795355444 y[1] (numeric) -0.29206279795355455 absolute error 1.1102230246251565e-16 relative error 3.801316129285698e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) -0.291293067964822 y[1] (numeric) -0.2912930679648221 absolute error 1.1102230246251565e-16 relative error 3.811360951298822e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) -0.29048508996307937 y[1] (numeric) -0.2904850899630795 absolute error 1.1102230246251565e-16 relative error 3.821962169439629e-14% 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) -0.28963855574782105 y[1] (numeric) -0.2896385557478212 absolute error 1.6653345369377348e-16 relative error 5.74969907800427e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) -0.2887531619249176 y[1] (numeric) -0.28875316192491773 absolute error 1.1102230246251565e-16 relative error 3.8448861208101323e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) -0.287828609975759 y[1] (numeric) -0.28782860997575915 absolute error 1.6653345369377348e-16 relative error 5.785854773359708e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) -0.2868646063258117 y[1] (numeric) -0.28686460632581184 absolute error 1.6653345369377348e-16 relative error 5.8052980403107e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) -0.28586086241257846 y[1] (numeric) -0.2858608624125787 absolute error 2.220446049250313e-16 relative error 7.767576262488071e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) -0.28481709475295025 y[1] (numeric) -0.28481709475295036 absolute error 1.1102230246251565e-16 relative error 3.898021028506599e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) -0.2837330250099395 y[1] (numeric) -0.28373302500993963 absolute error 1.1102230246251565e-16 relative error 3.912914348219648e-14% 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) -0.2826083800587849 y[1] (numeric) -0.282608380058785 absolute error 1.1102230246251565e-16 relative error 3.92848585874991e-14% 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) -0.28144289205241596 y[1] (numeric) -0.281442892052416 absolute error 5.551115123125783e-17 relative error 1.9723770895915688e-14% 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) -0.2802362984862685 y[1] (numeric) -0.2802362984862686 absolute error 5.551115123125783e-17 relative error 1.9808694138164208e-14% 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) -0.2789883422624399 y[1] (numeric) -0.27898834226243996 absolute error 5.551115123125783e-17 relative error 1.9897301364312695e-14% 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) -0.2776987717531737 y[1] (numeric) -0.27769877175317376 absolute error 5.551115123125783e-17 relative error 1.9989699947465977e-14% 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) -0.27636734086366443 y[1] (numeric) -0.2763673408636645 absolute error 5.551115123125783e-17 relative error 2.0086002585465477e-14% 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) -0.27499380909417126 y[1] (numeric) -0.27499380909417137 absolute error 1.1102230246251565e-16 relative error 4.037265523475702e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) -0.273577941601432 y[1] (numeric) -0.2735779416014321 absolute error 1.1102230246251565e-16 relative error 4.0581598725624204e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) -0.27211950925936623 y[1] (numeric) -0.27211950925936623 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) -0.2706182887190585 y[1] (numeric) -0.2706182887190586 absolute error 5.551115123125783e-17 relative error 2.0512712386887696e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) -0.26907406246801224 y[1] (numeric) -0.26907406246801235 absolute error 1.1102230246251565e-16 relative error 4.126087124273232e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) -0.26748661888866343 y[1] (numeric) -0.2674866188886635 absolute error 5.551115123125783e-17 relative error 2.075287035362444e-14% 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) -0.2658557523161458 y[1] (numeric) -0.26585575231614583 absolute error 5.551115123125783e-17 relative error 2.0880176843134856e-14% 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) -0.2641812630952979 y[1] (numeric) -0.2641812630952978 absolute error 5.551115123125783e-17 relative error 2.1012523969662956e-14% 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) -0.26246295763690186 y[1] (numeric) -0.2624629576369018 absolute error 5.551115123125783e-17 relative error 2.115008979973982e-14% 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) -0.26070064847314595 y[1] (numeric) -0.26070064847314584 absolute error 1.1102230246251565e-16 relative error 4.258612439698314e-14% 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) -0.25889415431229984 y[1] (numeric) -0.25889415431229984 absolute error 0.0 relative error 0.0% 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) -0.2570433000925967 y[1] (numeric) -0.2570433000925966 absolute error 5.551115123125783e-17 relative error 2.1596031178895004e-14% 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) -0.25514791703530837 y[1] (numeric) -0.2551479170353083 absolute error 5.551115123125783e-17 relative error 2.1756458714721145e-14% 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) -0.25320784269701047 y[1] (numeric) -0.25320784269701035 absolute error 1.1102230246251565e-16 relative error 4.384631268920268e-14% 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) -0.2512229210210231 y[1] (numeric) -0.25122292102102306 absolute error 5.551115123125783e-17 relative error 2.2096372021170984e-14% 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) -0.24919300238802347 y[1] (numeric) -0.24919300238802342 absolute error 5.551115123125783e-17 relative error 2.227636839690237e-14% 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) -0.24711794366581752 y[1] (numeric) -0.24711794366581746 absolute error 5.551115123125783e-17 relative error 2.246342390511579e-14% 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) -0.24499760825826544 y[1] (numeric) -0.24499760825826536 absolute error 8.326672684688674e-17 relative error 3.3986750907017306e-14% 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) -0.24283186615335062 y[1] (numeric) -0.2428318661533506 absolute error 2.7755575615628914e-17 relative error 1.1429956066021831e-14% 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) -0.2406205939703853 y[1] (numeric) -0.24062059397038524 absolute error 5.551115123125783e-17 relative error 2.306999177222958e-14% 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) -0.23836367500634295 y[1] (numeric) -0.23836367500634287 absolute error 8.326672684688674e-17 relative error 3.493264099266425e-14% 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) -0.23606099928131147 y[1] (numeric) -0.23606099928131138 absolute error 8.326672684688674e-17 relative error 3.527339420759574e-14% 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) -0.23371246358305772 y[1] (numeric) -0.23371246358305767 absolute error 5.551115123125783e-17 relative error 2.37519002539332e-14% 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) -0.231317971510696 y[1] (numeric) -0.23131797151069594 absolute error 5.551115123125783e-17 relative error 2.399776846940361e-14% 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) -0.22887743351745327 y[1] (numeric) -0.22887743351745318 absolute error 8.326672684688674e-17 relative error 3.638048783019806e-14% 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) -0.2263907669525227 y[1] (numeric) -0.22639076695252258 absolute error 1.1102230246251565e-16 relative error 4.9040119416971884e-14% 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) -0.2238578961019987 y[1] (numeric) -0.2238578961019986 absolute error 8.326672684688674e-17 relative error 3.7196242927677235e-14% 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) -0.221278752228886 y[1] (numeric) -0.22127875222888588 absolute error 1.1102230246251565e-16 relative error 5.017305156695595e-14% 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) -0.2186532736121748 y[1] (numeric) -0.21865327361217476 absolute error 2.7755575615628914e-17 relative error 1.2693876088431663e-14% 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) -0.21598140558497653 y[1] (numeric) -0.21598140558497647 absolute error 5.551115123125783e-17 relative error 2.5701819599195688e-14% 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) -0.21326310057171072 y[1] (numeric) -0.2132631005717107 absolute error 2.7755575615628914e-17 relative error 1.3014710721743432e-14% 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) -0.210498318124339 y[1] (numeric) -0.2104983181243389 absolute error 1.1102230246251565e-16 relative error 5.274260785159149e-14% 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) -0.20768702495763652 y[1] (numeric) -0.20768702495763647 absolute error 5.551115123125783e-17 relative error 2.672827117754749e-14% 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) -0.20482919498349714 y[1] (numeric) -0.20482919498349708 absolute error 5.551115123125783e-17 relative error 2.710119093898226e-14% 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) -0.20192480934426257 y[1] (numeric) -0.20192480934426252 absolute error 5.551115123125783e-17 relative error 2.7491000938184173e-14% 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) -0.19897385644507243 y[1] (numeric) -0.1989738564450724 absolute error 2.7755575615628914e-17 relative error 1.3949358026988312e-14% 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) -0.19597633198522618 y[1] (numeric) -0.19597633198522615 absolute error 2.7755575615628914e-17 relative error 1.41627181887052e-14% 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) -0.19293223898855236 y[1] (numeric) -0.19293223898855236 absolute error 0.0 relative error 0.0% 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) -0.18984158783277869 y[1] (numeric) -0.18984158783277869 absolute error 0.0 relative error 0.0% 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) -0.18670439627789676 y[1] (numeric) -0.18670439627789678 absolute error 2.7755575615628914e-17 relative error 1.486605359539399e-14% 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) -0.18352068949351624 y[1] (numeric) -0.18352068949351627 absolute error 2.7755575615628914e-17 relative error 1.5123949072025208e-14% 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) -0.18029050008520234 y[1] (numeric) -0.18029050008520245 absolute error 1.1102230246251565e-16 relative error 6.157967414259117e-14% 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) -0.1770138681197913 y[1] (numeric) -0.17701386811979145 absolute error 1.3877787807814457e-16 relative error 7.839943816392333e-14% 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) -0.17369084114967845 y[1] (numeric) -0.17369084114967853 absolute error 8.326672684688674e-17 relative error 4.793961863258608e-14% 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) -0.1703214742360733 y[1] (numeric) -0.17032147423607338 absolute error 8.326672684688674e-17 relative error 4.888797917018689e-14% 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) -0.16690582997121767 y[1] (numeric) -0.1669058299712178 absolute error 1.3877787807814457e-16 relative error 8.314741198799127e-14% 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) -0.1634439784995601 y[1] (numeric) -0.16344397849956022 absolute error 1.1102230246251565e-16 relative error 6.792682329549049e-14% 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) -0.1599359975378828 y[1] (numeric) -0.15993599753788296 absolute error 1.6653345369377348e-16 relative error 1.0412506018498306e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) -0.15638197239437684 y[1] (numeric) -0.15638197239437698 absolute error 1.3877787807814457e-16 relative error 8.874288765725705e-14% 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) -0.15278199598665926 y[1] (numeric) -0.15278199598665948 absolute error 2.220446049250313e-16 relative error 1.453342741669771e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) -0.14913616885873004 y[1] (numeric) -0.14913616885873027 absolute error 2.220446049250313e-16 relative error 1.4888715904681991e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) -0.14544459919686206 y[1] (numeric) -0.14544459919686228 absolute error 2.220446049250313e-16 relative error 1.5266610527386422e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) -0.14170740284442201 y[1] (numeric) -0.14170740284442224 absolute error 2.220446049250313e-16 relative error 1.5669231138814254e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) -0.13792470331561682 y[1] (numeric) -0.13792470331561701 absolute error 1.942890293094024e-16 relative error 1.4086601213475556e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) -0.1340966318081625 y[1] (numeric) -0.13409663180816278 absolute error 2.7755575615628914e-16 relative error 2.0698189985365033e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) -0.13022332721487123 y[1] (numeric) -0.13022332721487148 absolute error 2.498001805406602e-16 relative error 1.9182444949243592e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) -0.1263049361341528 y[1] (numeric) -0.12630493613415306 absolute error 2.498001805406602e-16 relative error 1.9777546957890773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) -0.12234161287942787 y[1] (numeric) -0.12234161287942813 absolute error 2.636779683484747e-16 relative error 2.1552598673710387e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) -0.1183335194874487 y[1] (numeric) -0.11833351948744898 absolute error 2.7755575615628914e-16 relative error 2.3455379114767956e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) -0.1142808257255247 y[1] (numeric) -0.11428082572552498 absolute error 2.7755575615628914e-16 relative error 2.4287167544878604e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) -0.11018370909764934 y[1] (numeric) -0.11018370909764963 absolute error 2.914335439641036e-16 relative error 2.64497852133316e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) -0.10604235484952622 y[1] (numeric) -0.10604235484952644 absolute error 2.220446049250313e-16 relative error 2.0939237462249112e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) -0.10185695597249028 y[1] (numeric) -0.1018569559724905 absolute error 2.220446049250313e-16 relative error 2.1799650579092658e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) -0.09762771320632356 y[1] (numeric) -0.09762771320632335 absolute error 2.0816681711721685e-16 relative error 2.132251286858304e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) -0.09335483504095946 y[1] (numeric) -0.09335483504095875 absolute error 7.077671781985373e-16 relative error 7.581473181201641e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) -0.08903853771707783 y[1] (numeric) -0.0890385377170767 absolute error 1.124100812432971e-15 relative error 1.2624879532555099e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) -0.08467904522558539 y[1] (numeric) -0.08467904522558374 absolute error 1.6514567491299204e-15 relative error 1.9502543335608373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) -0.0802765893059795 y[1] (numeric) -0.08027658930597739 absolute error 2.1094237467877974e-15 relative error 2.6276947800405297e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) -0.07583140944359548 y[1] (numeric) -0.07583140944359289 absolute error 2.5951463200613034e-15 relative error 3.4222577941026024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) -0.07134375286573338 y[1] (numeric) -0.07134375286573026 absolute error 3.1225022567582528e-15 relative error 4.376700315491814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) -0.06681387453666404 y[1] (numeric) -0.06681387453666043 absolute error 3.608224830031759e-15 relative error 5.4004124967363616e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -0.06224203715151262 y[1] (numeric) -0.062242037151508514 absolute error 4.107825191113079e-15 relative error 6.599760192799618e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -0.05762851112901794 y[1] (numeric) -0.05762851112901333 absolute error 4.614364446098307e-15 relative error 8.007085999094665e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -0.05297357460316682 y[1] (numeric) -0.05297357460316164 absolute error 5.176414852314792e-15 relative error 9.77169256764738e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -0.04827751341370208 y[1] (numeric) -0.04827751341369642 absolute error 5.662137425588298e-15 relative error 1.1728312055072156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -0.043540621095504065 y[1] (numeric) -0.043540621095497854 absolute error 6.2103100439969694e-15 relative error 1.426325552493838e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -0.0387631988668435 y[1] (numeric) -0.03876319886683677 absolute error 6.7307270867900115e-15 relative error 1.7363703934525405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -0.03394555561650682 y[1] (numeric) -0.03394555561649956 absolute error 7.258083023486961e-15 relative error 2.1381541387873315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -0.029088007889792183 y[1] (numeric) -0.02908800788978442 absolute error 7.764622278472189e-15 relative error 2.6693551197767028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -0.024190879873376675 y[1] (numeric) -0.02419087987336836 absolute error 8.316264343832813e-15 relative error 3.437768443050844e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -0.019254503379054044 y[1] (numeric) -0.019254503379045183 absolute error 8.86096751528953e-15 relative error 4.6020234024466754e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -0.01427921782634349 y[1] (numeric) -0.014279217826334081 absolute error 9.409140133698202e-15 relative error 6.589394635005453e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -0.0092653702239692 y[1] (numeric) -0.009265370223959244 absolute error 9.955578028630896e-15 relative error 1.0744932785174792e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -0.004213315150211255 y[1] (numeric) -0.004213315150200722 absolute error 1.0533240946131173e-14 relative error 2.4999888616456893e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.0008765852678719183 y[1] (numeric) 0.0008765852678829857 absolute error 1.106742735651478e-14 relative error 1.2625614144055967e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.006003961376348413 y[1] (numeric) 0.0060039613763600425 absolute error 1.1629586182948515e-14 relative error 1.9369855090609503e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.011168436017445077 y[1] (numeric) 0.011168436017457286 absolute error 1.2208983823924768e-14 relative error 1.0931686231495939e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.016369624553705484 y[1] (numeric) 0.016369624553718244 absolute error 1.2760625889285393e-14 relative error 7.795307612230394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.021607134893272775 y[1] (numeric) 0.02160713489328611 absolute error 1.333308463635774e-14 relative error 6.170686073010494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.0268805675162965 y[1] (numeric) 0.02688056751631043 absolute error 1.3929829512093761e-14 relative error 5.182118831251878e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.03218951550246166 y[1] (numeric) 0.032189515502476194 absolute error 1.4536982728685643e-14 relative error 4.51606136400964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.03753356455963863 y[1] (numeric) 0.037533564559653725 absolute error 1.5092094240998222e-14 relative error 4.020959484681443e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.04291229305365217 y[1] (numeric) 0.04291229305366789 absolute error 1.5716594692349872e-14 relative error 3.662492394125806e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.048325272039168296 y[1] (numeric) 0.04832527203918458 absolute error 1.6285583992470265e-14 relative error 3.369993236514132e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.05377206529169583 y[1] (numeric) 0.05377206529171272 absolute error 1.6889267762110194e-14 relative error 3.140899958090033e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.059252229340701984 y[1] (numeric) 0.05925222934071948 absolute error 1.7492951531750123e-14 relative error 2.952285800280216e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.06476531350383856 y[1] (numeric) 0.06476531350385668 absolute error 1.812439087700568e-14 relative error 2.7984718820100314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.07031085992227704 y[1] (numeric) 0.07031085992229578 absolute error 1.874889132835733e-14 relative error 2.6665711881610767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 0.07588840359714957 y[1] (numeric) 0.0758884035971689 absolute error 1.9331758416285538e-14 relative error 2.547392948059281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 0.08149747242709343 y[1] (numeric) 0.08149747242711336 absolute error 1.992850329202156e-14 relative error 2.4452909640663197e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.08713758724689608 y[1] (numeric) 0.08713758724691663 absolute error 2.055300374337321e-14 relative error 2.3586840527427304e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.09280826186723759 y[1] (numeric) 0.09280826186725875 absolute error 2.1163626406917047e-14 relative error 2.2803601728035438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.09850900311552752 y[1] (numeric) 0.09850900311554933 absolute error 2.1815882433884326e-14 relative error 2.2146079793640294e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.10423931087783275 y[1] (numeric) 0.10423931087785523 absolute error 2.248201624865942e-14 relative error 2.1567694624351535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.10999867814189315 y[1] (numeric) 0.10999867814191627 absolute error 2.3120394487818885e-14 relative error 2.101879302403494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.1157865910412208 y[1] (numeric) 0.11578659104124454 absolute error 2.3744894939170536e-14 relative error 2.0507465264883042e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.1216025289002799 y[1] (numeric) 0.12160252890030429 absolute error 2.4397150966137815e-14 relative error 2.0063029269847412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 0.12744596428074279 y[1] (numeric) 0.12744596428076785 absolute error 2.506328478091291e-14 relative error 1.9665812819072528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 0.13331636302881839 y[1] (numeric) 0.13331636302884406 absolute error 2.5673907444456745e-14 relative error 1.9257881674214992e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 0.13921318432364854 y[1] (numeric) 0.13921318432367488 absolute error 2.634004125923184e-14 relative error 1.892065136445369e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.1451358807267685 y[1] (numeric) 0.14513588072679542 absolute error 2.6922908347160046e-14 relative error 1.8550139505367988e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.15108389823262616 y[1] (numeric) 0.15108389823265372 absolute error 2.756128658631951e-14 relative error 1.8242371893186777e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.15705667632015657 y[1] (numeric) 0.15705667632018477 absolute error 2.8199664825478976e-14 relative error 1.7955088243427858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.16305364800540598 y[1] (numeric) 0.16305364800543481 absolute error 2.883804306463844e-14 relative error 1.768622991107953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.16907423989520062 y[1] (numeric) 0.16907423989523016 absolute error 2.9531932455029164e-14 relative error 1.7466843247874014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.17511787224185607 y[1] (numeric) 0.17511787224188624 absolute error 3.017031069418863e-14 relative error 1.7228573136453073e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.18118395899892065 y[1] (numeric) 0.18118395899895148 absolute error 3.083644450896372e-14 relative error 1.7019412027058877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 0.18727190787794848 y[1] (numeric) 0.18727190787797995 absolute error 3.147482274812319e-14 relative error 1.6807017723467853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 0.19338112040629626 y[1] (numeric) 0.1933811204063284 absolute error 3.214095656289828e-14 relative error 1.662052453485103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 0.19951099198593858 y[1] (numeric) 0.19951099198597136 absolute error 3.277933480205775e-14 relative error 1.6429839015771128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 0.20566091195329497 y[1] (numeric) 0.20566091195332856 absolute error 3.3584246494910985e-14 relative error 1.6329912269638227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 0.21183026364006444 y[1] (numeric) 0.21183026364009871 absolute error 3.427813588530171e-14 relative error 1.6181887940028285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 0.2180184244350595 y[1] (numeric) 0.21801842443509442 absolute error 3.4916514124461173e-14 relative error 1.6015396045053822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 0.22422476584703507 y[1] (numeric) 0.22422476584707063 absolute error 3.555489236362064e-14 relative error 1.5856808782610567e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 0.23044865356850502 y[1] (numeric) 0.2304486535685413 absolute error 3.627653732962699e-14 relative error 1.574170070767766e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 0.2366894475405404 y[1] (numeric) 0.2366894475405773 absolute error 3.6914915568786455e-14 relative error 1.5596350387553138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 0.24294650201854195 y[1] (numeric) 0.2429465020185796 absolute error 3.7636560534792807e-14 relative error 1.549170711332997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 0.2492191656389816 y[1] (numeric) 0.24921916563901997 absolute error 3.835820550079916e-14 relative error 1.539135459443949e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 0.25550678148710415 y[1] (numeric) 0.25550678148714323 absolute error 3.907985046680551e-14 relative error 1.5295034534642257e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 0.26180868716558353 y[1] (numeric) 0.2618086871656233 absolute error 3.9745984281580604e-14 relative error 1.518130842482047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 0.26812421486412635 y[1] (numeric) 0.2681242148641669 absolute error 4.0523140398818214e-14 relative error 1.511356981291435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 0.2744526914300146 y[1] (numeric) 0.27445269143005596 absolute error 4.135580766728708e-14 relative error 1.5068464969975637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 0.280793438439581 y[1] (numeric) 0.2807934384396231 absolute error 4.213296378452469e-14 relative error 1.5004967359160902e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 0.2871457722706087 y[1] (numeric) 0.28714577227065147 absolute error 4.2743586448068527e-14 relative error 1.4885675004048672e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 0.2935090041756484 y[1] (numeric) 0.29350900417569187 absolute error 4.346523141407488e-14 relative error 1.4808823850618026e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 0.29988244035624423 y[1] (numeric) 0.29988244035628836 absolute error 4.413136522884997e-14 relative error 1.471622185561258e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 0.306265382038061 y[1] (numeric) 0.3062653820381058 absolute error 4.4853010194856324e-14 relative error 1.464514529731677e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 0.31265712554690483 y[1] (numeric) 0.31265712554695035 absolute error 4.551914400963142e-14 relative error 1.4558805890001262e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 0.31905696238562836 y[1] (numeric) 0.31905696238567455 absolute error 4.618527782440651e-14 relative error 1.4475558683651182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 0.32546417931191246 y[1] (numeric) 0.3254641793119593 absolute error 4.6851411639181606e-14 relative error 1.4395259023046281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 0.33187805841691637 y[1] (numeric) 0.331878058416964 absolute error 4.7628567756419216e-14 relative error 1.4351225261353857e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 0.3382978772047873 y[1] (numeric) 0.33829787720483556 absolute error 4.823919041996305e-14 relative error 1.4259383126652504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 0.3447229086730203 y[1] (numeric) 0.3447229086730693 absolute error 4.901634653720066e-14 relative error 1.421905690163867e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 0.3511524213936607 y[1] (numeric) 0.3511524213937105 absolute error 4.979350265443827e-14 relative error 1.4180025430784964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 0.3575856795953394 y[1] (numeric) 0.3575856795953898 absolute error 5.040412531798211e-14 relative error 1.409567781769722e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 0.3640219432461312 y[1] (numeric) 0.36402194324618237 absolute error 5.1181281435219717e-14 relative error 1.4059944018433474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 0.37046046813722927 y[1] (numeric) 0.37046046813728123 absolute error 5.1958437552457326e-14 relative error 1.4025366272875954e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.37690050596742375 y[1] (numeric) 0.37690050596747626 absolute error 5.2513549064769904e-14 relative error 1.3933000416112138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.3833413044283762 y[1] (numeric) 0.38334130442842945 absolute error 5.3235194030776256e-14 relative error 1.3887153149373905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.3897821072906814 y[1] (numeric) 0.3897821072907353 absolute error 5.390132784555135e-14 relative error 1.3828579310685044e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.3962221544907044 y[1] (numeric) 0.3962221544907591 absolute error 5.467848396278896e-14 relative error 1.3799956247542879e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.4026606822181857 y[1] (numeric) 0.4026606822182411 absolute error 5.540012892879531e-14 relative error 1.3758514644043692e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.4090969230046019 y[1] (numeric) 0.40909692300465805 absolute error 5.617728504603292e-14 relative error 1.3732023363422118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 0.4155301058122745 y[1] (numeric) 0.41553010581233146 absolute error 5.695444116327053e-14 relative error 1.370645360386981e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 0.42195945612421465 y[1] (numeric) 0.4219594561242724 absolute error 5.773159728050814e-14 relative error 1.3681787774300608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 0.42838419603469435 y[1] (numeric) 0.4283841960347528 absolute error 5.845324224651449e-14 relative error 1.3645051051738713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 0.4348035443405339 y[1] (numeric) 0.4348035443405932 absolute error 5.928590951498336e-14 relative error 1.3635102631212962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 0.44121671663309525 y[1] (numeric) 0.44121671663315515 absolute error 5.98965321785272e-14 relative error 1.3575308894820422e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 0.4476229253909693 y[1] (numeric) 0.44762292539103 absolute error 6.06736882957648e-14 relative error 1.3554642725854649e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 0.45402138007334913 y[1] (numeric) 0.4540213800734105 absolute error 6.13398221105399e-14 relative error 1.3510337795244396e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 0.460411287214075 y[1] (numeric) 0.46041128721413715 absolute error 6.217248937900877e-14 relative error 1.350368488036236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 0.4667918505163433 y[1] (numeric) 0.4667918505164062 absolute error 6.289413434501512e-14 relative error 1.3473700167525325e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 0.4731622709480664 y[1] (numeric) 0.4731622709481299 absolute error 6.350475700855895e-14 relative error 1.342134842689711e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) 0.479521746837873 y[1] (numeric) 0.47952174683793725 absolute error 6.42264019745653e-14 relative error 1.3393845513388227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) 0.4858694739717383 y[1] (numeric) 0.4858694739718032 absolute error 6.48925357893404e-14 relative error 1.335596065726801e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) 0.4922046456902313 y[1] (numeric) 0.4922046456902969 absolute error 6.561418075534675e-14 relative error 1.3330670754505839e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) 0.4985264529863698 y[1] (numeric) 0.498526452986436 absolute error 6.622480341889059e-14 relative error 1.3284110205622577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) 0.504834084604069 y[1] (numeric) 0.5048340846041358 absolute error 6.683542608243442e-14 relative error 1.3239087478582608e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) 0.5111267271371748 y[1] (numeric) 0.5111267271372423 absolute error 6.750155989720952e-14 relative error 1.3206423439307575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) 0.5174035651290684 y[1] (numeric) 0.5174035651291368 absolute error 6.838973831690964e-14 relative error 1.3217871488738109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) 0.5236637811728309 y[1] (numeric) 0.5236637811728999 absolute error 6.905587213168474e-14 relative error 1.3187062885468762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) 0.5299065560119556 y[1] (numeric) 0.5299065560120252 absolute error 6.961098364399732e-14 relative error 1.313646393958311e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) 0.5361310686415974 y[1] (numeric) 0.5361310686416678 absolute error 7.038813976123492e-14 relative error 1.3128905202151092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) 0.5423364964103454 y[1] (numeric) 0.5423364964104164 absolute error 7.09432512735475e-14 relative error 1.3081039491738365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) 0.5485220151225078 y[1] (numeric) 0.5485220151225793 absolute error 7.149836278586008e-14 relative error 1.3034729840313068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) 0.5546867991408959 y[1] (numeric) 0.5546867991409681 absolute error 7.216449660063518e-14 relative error 1.3009953853670976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) 0.560830021490097 y[1] (numeric) 0.56083002149017 absolute error 7.30526750203353e-14 relative error 1.3025813922414147e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) 0.5669508539602206 y[1] (numeric) 0.5669508539602942 absolute error 7.360778653264788e-14 relative error 1.2983098273596124e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) 0.5730484672111078 y[1] (numeric) 0.5730484672111821 absolute error 7.427392034742297e-14 relative error 1.2961193441262776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) 0.5791220308769911 y[1] (numeric) 0.5791220308770659 absolute error 7.482903185973555e-14 relative error 1.292111642625968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) 0.5851707136715903 y[1] (numeric) 0.5851707136716658 absolute error 7.549516567451064e-14 relative error 1.2901391664122148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) 0.5911936834936348 y[1] (numeric) 0.5911936834937109 absolute error 7.616129948928574e-14 relative error 1.2882630788477589e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) 0.5971901075327952 y[1] (numeric) 0.5971901075328724 absolute error 7.716050021144838e-14 relative error 1.2920592494444668e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) 0.6031591523760174 y[1] (numeric) 0.6031591523760951 absolute error 7.771561172376096e-14 relative error 1.28847604181445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) 0.6090999841142378 y[1] (numeric) 0.6090999841143161 absolute error 7.827072323607354e-14 relative error 1.2850225788446863e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) 0.6150117684494769 y[1] (numeric) 0.6150117684495559 absolute error 7.893685705084863e-14 relative error 1.2835015702196807e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) 0.6208936708022887 y[1] (numeric) 0.6208936708023685 absolute error 7.971401316808624e-14 relative error 1.283859329167966e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) 0.6267448564195588 y[1] (numeric) 0.6267448564196391 absolute error 8.026912468039882e-14 relative error 1.2807304895800316e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) 0.6325644904826351 y[1] (numeric) 0.6325644904827159 absolute error 8.08242361927114e-14 relative error 1.2777232583992186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) 0.63835173821578 y[1] (numeric) 0.6383517382158616 absolute error 8.1601392309949e-14 relative error 1.2783139361072054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) 0.6441057649949286 y[1] (numeric) 0.6441057649950107 absolute error 8.215650382226158e-14 relative error 1.2755126298692336e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) 0.6498257364567399 y[1] (numeric) 0.6498257364568227 absolute error 8.282263763703668e-14 relative error 1.2745361254640047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) 0.6555108186079298 y[1] (numeric) 0.6555108186080133 absolute error 8.348877145181177e-14 relative error 1.2736444476860355e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) 0.6611601779348688 y[1] (numeric) 0.6611601779349529 absolute error 8.404388296412435e-14 relative error 1.2711576675206768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) 0.666772981513434 y[1] (numeric) 0.6667729815135187 absolute error 8.471001677889944e-14 relative error 1.2704476505125564e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) 0.6723483971190996 y[1] (numeric) 0.6723483971191849 absolute error 8.537615059367454e-14 relative error 1.2698200956453094e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) 0.6778855933372532 y[1] (numeric) 0.677885593337339 absolute error 8.58202398035246e-14 relative error 1.2659988742499855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) 0.6833837396737245 y[1] (numeric) 0.6833837396738109 absolute error 8.64863736182997e-14 relative error 1.2655608934972883e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) 0.6888420066655113 y[1] (numeric) 0.6888420066655982 absolute error 8.693046282814976e-14 relative error 1.261979699074327e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) 0.6942595659916908 y[1] (numeric) 0.6942595659917783 absolute error 8.748557434046234e-14 relative error 1.2601277479770354e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) 0.6996355905844996 y[1] (numeric) 0.6996355905845878 absolute error 8.815170815523743e-14 relative error 1.2599660357700279e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) 0.7049692547405725 y[1] (numeric) 0.7049692547406612 absolute error 8.870681966755001e-14 relative error 1.2583076364116613e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) 0.7102597342323209 y[1] (numeric) 0.7102597342324103 absolute error 8.93729534823251e-14 relative error 1.2583136727991939e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) 0.7155062064194427 y[1] (numeric) 0.7155062064195329 absolute error 9.015010959956271e-14 relative error 1.2599486739702028e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) 0.7207078503605445 y[1] (numeric) 0.720707850360635 absolute error 9.048317650695026e-14 relative error 1.2554764938620377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) 0.7258638469248639 y[1] (numeric) 0.7258638469249549 absolute error 9.092726571680032e-14 relative error 1.252676601845035e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) 0.7309733789040799 y[1] (numeric) 0.7309733789041715 absolute error 9.159339953157541e-14 relative error 1.2530333138656549e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) 0.7360356311241936 y[1] (numeric) 0.7360356311242858 absolute error 9.225953334635051e-14 relative error 1.2534655857004737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) 0.7410497905574668 y[1] (numeric) 0.7410497905575595 absolute error 9.270362255620057e-14 relative error 1.2509769753320187e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) 0.7460150464344051 y[1] (numeric) 0.7460150464344985 absolute error 9.336975637097567e-14 relative error 1.2515800695607739e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) 0.7509305903557698 y[1] (numeric) 0.7509305903558635 absolute error 9.370282327836321e-14 relative error 1.2478226946909893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) 0.7557956164046038 y[1] (numeric) 0.755795616404698 absolute error 9.414691248821327e-14 relative error 1.2456662944947956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) 0.7606093212582596 y[1] (numeric) 0.7606093212583542 absolute error 9.459100169806334e-14 relative error 1.2436213842552374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) 0.7653709043004133 y[1] (numeric) 0.7653709043005084 absolute error 9.50350909079134e-14 relative error 1.241686747875269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) 0.77007956773305 y[1] (numeric) 0.7700795677331453 absolute error 9.536815781530095e-14 relative error 1.2384195323613696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) 0.7747345166884065 y[1] (numeric) 0.7747345166885025 absolute error 9.592326932761353e-14 relative error 1.2381437416476085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) 0.7793349593408591 y[1] (numeric) 0.7793349593409553 absolute error 9.625633623500107e-14 relative error 1.2351086664508435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) 0.7838801070187367 y[1] (numeric) 0.7838801070188336 absolute error 9.692247004977617e-14 relative error 1.2364450785515275e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) 0.7883691743160521 y[1] (numeric) 0.7883691743161495 absolute error 9.736655925962623e-14 relative error 1.2350376249058236e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) 0.79280137920413 y[1] (numeric) 0.7928013792042279 absolute error 9.792167077193881e-14 relative error 1.235134970000172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) 0.7971759431431218 y[1] (numeric) 0.7971759431432202 absolute error 9.836575998178887e-14 relative error 1.2339278527893142e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) 0.8014920911933912 y[1] (numeric) 0.8014920911934901 absolute error 9.892087149410145e-14 relative error 1.2342089532887598e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) 0.8057490521267554 y[1] (numeric) 0.805749052126855 absolute error 9.958700530887654e-14 relative error 1.2359555998982439e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) 0.8099460585375693 y[1] (numeric) 0.8099460585376694 absolute error 1.0014211682118912e-13 relative error 1.2364047675224786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) 0.814082346953636 y[1] (numeric) 0.8140823469537366 absolute error 1.0058620603103918e-13 relative error 1.2355777816266517e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) 0.8181571579469308 y[1] (numeric) 0.8181571579470318 absolute error 1.0103029524088925e-13 relative error 1.234851938402799e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) 0.8221697362441232 y[1] (numeric) 0.8221697362442245 absolute error 1.0136336214827679e-13 relative error 1.2328763475450942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) 0.826119330836883 y[1] (numeric) 0.8261193308369847 absolute error 1.0169642905566434e-13 relative error 1.2310137925551613e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) 0.8300051950919558 y[1] (numeric) 0.830005195092058 absolute error 1.021405182655144e-13 relative error 1.2306009512892062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) 0.8338265868609928 y[1] (numeric) 0.8338265868610955 absolute error 1.0269562977782698e-13 relative error 1.2316185570963015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) 0.8375827685901212 y[1] (numeric) 0.837582768590224 absolute error 1.028066520802895e-13 relative error 1.2274208106422839e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) 0.8412730074292405 y[1] (numeric) 0.8412730074293436 absolute error 1.0313971898767704e-13 relative error 1.2259958191556756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) 0.8448965753410305 y[1] (numeric) 0.8448965753411339 absolute error 1.0347278589506459e-13 relative error 1.2246799065708045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) 0.8484527492096554 y[1] (numeric) 0.8484527492097594 absolute error 1.0402789740737717e-13 relative error 1.2260894611312237e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) 0.8519408109491509 y[1] (numeric) 0.8519408109492556 absolute error 1.0469403122215226e-13 relative error 1.2288885551275821e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) 0.8553600476114787 y[1] (numeric) 0.8553600476115836 absolute error 1.0491607582707729e-13 relative error 1.2265720864570032e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) 0.8587097514942348 y[1] (numeric) 0.8587097514943401 absolute error 1.0536016503692736e-13 relative error 1.2269589911328115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) 0.8619892202479982 y[1] (numeric) 0.8619892202481039 absolute error 1.056932319443149e-13 relative error 1.2261549154165348e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) 0.8651977569833014 y[1] (numeric) 0.8651977569834075 absolute error 1.0613732115416497e-13 relative error 1.2267405954013986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) 0.8683346703772141 y[1] (numeric) 0.8683346703773208 absolute error 1.0669243266647754e-13 relative error 1.228701747220679e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) 0.871399274779522 y[1] (numeric) 0.8713992747796289 absolute error 1.0691447727140257e-13 relative error 1.2269286923431702e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) 0.8743908903184858 y[1] (numeric) 0.8743908903185931 absolute error 1.0724754417879012e-13 relative error 1.2265400448045216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) 0.8773088430061702 y[1] (numeric) 0.877308843006278 absolute error 1.078026556911027e-13 relative error 1.228787975300786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) 0.8801524648433243 y[1] (numeric) 0.8801524648434322 absolute error 1.0791367799356522e-13 relative error 1.2260793703824359e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) 0.8829210939238008 y[1] (numeric) 0.8829210939239092 absolute error 1.0835776720341528e-13 relative error 1.2272644514795897e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) 0.8856140745385012 y[1] (numeric) 0.8856140745386101 absolute error 1.0891287871572786e-13 relative error 1.2298006755649521e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) 0.8882307572788302 y[1] (numeric) 0.8882307572789395 absolute error 1.0935696792557792e-13 relative error 1.2311774505602825e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) 0.8907704991396468 y[1] (numeric) 0.8907704991397564 absolute error 1.0957901253050295e-13 relative error 1.2301598743597835e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) 0.8932326636216983 y[1] (numeric) 0.8932326636218082 absolute error 1.099120794378905e-13 relative error 1.2304977629483604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) 0.8956166208335222 y[1] (numeric) 0.8956166208336321 absolute error 1.099120794378905e-13 relative error 1.2272224172838461e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) 0.8979217475928014 y[1] (numeric) 0.8979217475929117 absolute error 1.1024514634527804e-13 relative error 1.2277812252663372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) 0.9001474275271615 y[1] (numeric) 0.900147427527272 absolute error 1.1046719095020308e-13 relative error 1.2272122051570244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) 0.9022930511743923 y[1] (numeric) 0.9022930511745031 absolute error 1.1080025785759062e-13 relative error 1.2279852727822405e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) 0.904358016082084 y[1] (numeric) 0.904358016082195 absolute error 1.1102230246251565e-13 relative error 1.2276366271788397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) 0.9063417269066596 y[1] (numeric) 0.9063417269067707 absolute error 1.1113332476497817e-13 relative error 1.2261746476604991e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) 0.9082435955117941 y[1] (numeric) 0.9082435955119055 absolute error 1.113553693699032e-13 relative error 1.2260517984402036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) 0.910063041066204 y[1] (numeric) 0.9100630410663153 absolute error 1.113553693699032e-13 relative error 1.2236006116613903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) 0.9117994901407933 y[1] (numeric) 0.9117994901409051 absolute error 1.1179945857975326e-13 relative error 1.2261408323719288e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) 0.9134523768051457 y[1] (numeric) 0.9134523768052579 absolute error 1.1224354778960333e-13 relative error 1.2287837947521889e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) 0.9150211427233442 y[1] (numeric) 0.9150211427234567 absolute error 1.1246559239452836e-13 relative error 1.2291037566607597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) 0.9165052372491095 y[1] (numeric) 0.9165052372492223 absolute error 1.127986593019159e-13 relative error 1.2307475693262931e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) 0.9179041175202408 y[1] (numeric) 0.9179041175203535 absolute error 1.1268763699945339e-13 relative error 1.2276623979406923e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) 0.9192172485523467 y[1] (numeric) 0.9192172485524593 absolute error 1.1268763699945339e-13 relative error 1.2259086432170683e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) 0.9204441033318516 y[1] (numeric) 0.9204441033319648 absolute error 1.1324274851176597e-13 relative error 1.2303055460059597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) 0.9215841629082688 y[1] (numeric) 0.9215841629083821 absolute error 1.1324274851176597e-13 relative error 1.2287835779903451e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) 0.9226369164857189 y[1] (numeric) 0.9226369164858323 absolute error 1.13464793116691e-13 relative error 1.2297881332222551e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) 0.923601861513689 y[1] (numeric) 0.9236018615138025 absolute error 1.1357581541915351e-13 relative error 1.2297053541340245e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) 0.9244785037770145 y[1] (numeric) 0.9244785037771281 absolute error 1.1368683772161603e-13 relative error 1.2297401968476431e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) 0.9252663574850715 y[1] (numeric) 0.9252663574851854 absolute error 1.1390888232654106e-13 relative error 1.2310928783377808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) 0.9259649453601689 y[1] (numeric) 0.9259649453602825 absolute error 1.1357581541915351e-13 relative error 1.2265671177754616e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) 0.9265737987251232 y[1] (numeric) 0.9265737987252369 absolute error 1.1368683772161603e-13 relative error 1.2269593407242707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) 0.927092457590009 y[1] (numeric) 0.9270924575901226 absolute error 1.1357581541915351e-13 relative error 1.2250753901546733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) 0.9275204707380664 y[1] (numeric) 0.9275204707381801 absolute error 1.1368683772161603e-13 relative error 1.2257070469954233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) 0.9278573958107583 y[1] (numeric) 0.9278573958108718 absolute error 1.13464793116691e-13 relative error 1.2228688764995604e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) 0.9281027993919605 y[1] (numeric) 0.9281027993920737 absolute error 1.1324274851176597e-13 relative error 1.220153075564001e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) 0.9282562570912749 y[1] (numeric) 0.9282562570913884 absolute error 1.13464793116691e-13 relative error 1.2223434234877887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) 0.9283173536264537 y[1] (numeric) 0.9283173536265672 absolute error 1.13464793116691e-13 relative error 1.2222629758394904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) 0.9282856829049202 y[1] (numeric) 0.9282856829050335 absolute error 1.1335377081422848e-13 relative error 1.2211086834766874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) 0.928160848104375 y[1] (numeric) 0.9281608481044883 absolute error 1.1324274851176597e-13 relative error 1.2200767651754194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) 0.9279424617524779 y[1] (numeric) 0.9279424617525911 absolute error 1.1324274851176597e-13 relative error 1.2203639037909732e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) 0.9276301458055884 y[1] (numeric) 0.9276301458057015 absolute error 1.1302070390684094e-13 relative error 1.2183811017556955e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) 0.9272235317265591 y[1] (numeric) 0.9272235317266723 absolute error 1.1313172620930345e-13 relative error 1.2201127596346025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) 0.9267222605615653 y[1] (numeric) 0.9267222605616783 absolute error 1.1302070390684094e-13 relative error 1.219574717438576e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) 0.9261259830159598 y[1] (numeric) 0.9261259830160727 absolute error 1.1290968160437842e-13 relative error 1.219161147349352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) 0.9254343595291462 y[1] (numeric) 0.9254343595292592 absolute error 1.1302070390684094e-13 relative error 1.2212719653541392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) 0.9246470603484516 y[1] (numeric) 0.9246470603485646 absolute error 1.1302070390684094e-13 relative error 1.2223118285181081e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) 0.9237637656019924 y[1] (numeric) 0.9237637656021055 absolute error 1.1313172620930345e-13 relative error 1.2246824396232785e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) 0.9227841653705225 y[1] (numeric) 0.9227841653706356 absolute error 1.1302070390684094e-13 relative error 1.2247794029003532e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) 0.9217079597582487 y[1] (numeric) 0.9217079597583614 absolute error 1.1268763699945339e-13 relative error 1.2225958971756065e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) 0.9205348589626041 y[1] (numeric) 0.9205348589627167 absolute error 1.1257661469699087e-13 relative error 1.2229478721083847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) 0.9192645833429718 y[1] (numeric) 0.9192645833430845 absolute error 1.1268763699945339e-13 relative error 1.2258455187042744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) 0.9178968634883427 y[1] (numeric) 0.9178968634884549 absolute error 1.1224354778960333e-13 relative error 1.2228339833631954e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) 0.916431440283899 y[1] (numeric) 0.916431440284011 absolute error 1.120215031846783e-13 relative error 1.2223664341980173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) 0.9148680649765146 y[1] (numeric) 0.9148680649766266 absolute error 1.120215031846783e-13 relative error 1.224455279106873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) 0.9132064992391594 y[1] (numeric) 0.9132064992392714 absolute error 1.120215031846783e-13 relative error 1.2266831574020698e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) 0.9114465152341975 y[1] (numeric) 0.9114465152343092 absolute error 1.1168843627729075e-13 relative error 1.2253975895512887e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) 0.9095878956755692 y[1] (numeric) 0.9095878956756807 absolute error 1.1146639167236572e-13 relative error 1.2254603672971855e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) 0.9076304338898479 y[1] (numeric) 0.9076304338899595 absolute error 1.1157741397482823e-13 relative error 1.2293264946685285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) 0.905573933876161 y[1] (numeric) 0.9055739338762722 absolute error 1.1113332476497817e-13 relative error 1.22721426277466e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) 0.9034182103649628 y[1] (numeric) 0.9034182103650736 absolute error 1.1080025785759062e-13 relative error 1.226455882628595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) 0.9011630888756534 y[1] (numeric) 0.9011630888757639 absolute error 1.1046719095020308e-13 relative error 1.2258290681659936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) 0.8988084057730314 y[1] (numeric) 0.8988084057731418 absolute error 1.1035616864774056e-13 relative error 1.227805257927326e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) 0.8963540083225714 y[1] (numeric) 0.8963540083226816 absolute error 1.1024514634527804e-13 relative error 1.2299286366955596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) 0.8937997547445174 y[1] (numeric) 0.8937997547446271 absolute error 1.0969003483296547e-13 relative error 1.2272327694285296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) 0.8911455142667811 y[1] (numeric) 0.8911455142668906 absolute error 1.0946799022804043e-13 relative error 1.2283963558758278e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) 0.8883911671766397 y[1] (numeric) 0.8883911671767488 absolute error 1.0913492332065289e-13 relative error 1.228455745091323e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) 0.8855366048712188 y[1] (numeric) 0.8855366048713276 absolute error 1.0880185641326534e-13 relative error 1.2286545334745153e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) 0.8825817299067567 y[1] (numeric) 0.8825817299068655 absolute error 1.0880185641326534e-13 relative error 1.2327680567867645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) 0.879526456046638 y[1] (numeric) 0.8795264560467465 absolute error 1.084687895058778e-13 relative error 1.233263522207524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) 0.8763707083081886 y[1] (numeric) 0.876370708308297 absolute error 1.0835776720341528e-13 relative error 1.2364375734624586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) 0.8731144230082252 y[1] (numeric) 0.873114423008333 absolute error 1.078026556911027e-13 relative error 1.2346910422081888e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) 0.869757547807347 y[1] (numeric) 0.8697575478074545 absolute error 1.0746958878371515e-13 relative error 1.2356269750650083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) 0.8663000417529685 y[1] (numeric) 0.8663000417530757 absolute error 1.0724754417879012e-13 relative error 1.237995371231582e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) 0.862741875321076 y[1] (numeric) 0.8627418753211825 absolute error 1.0647038806155251e-13 relative error 1.2340931987557546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) 0.859083030456707 y[1] (numeric) 0.8590830304568131 absolute error 1.0613732115416497e-13 relative error 1.2354722115479349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) 0.8553235006131434 y[1] (numeric) 0.8553235006132491 absolute error 1.056932319443149e-13 relative error 1.2357106038656499e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) 0.8514632907898081 y[1] (numeric) 0.8514632907899132 absolute error 1.0513812043200232e-13 relative error 1.2347933442260012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) 0.847502417568859 y[1] (numeric) 0.8475024175689638 absolute error 1.0480505352461478e-13 relative error 1.2366342720916125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) 0.8434409091504755 y[1] (numeric) 0.8434409091505797 absolute error 1.0413891970983968e-13 relative error 1.2346913527674361e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) 0.8392788053868254 y[1] (numeric) 0.8392788053869289 absolute error 1.0347278589506459e-13 relative error 1.2328773850946202e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) 0.8350161578147094 y[1] (numeric) 0.8350161578148125 absolute error 1.0313971898767704e-13 relative error 1.2351823138081577e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) 0.8306530296868746 y[1] (numeric) 0.8306530296869771 absolute error 1.0247358517290195e-13 relative error 1.233650892858727e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) 0.8261894960019884 y[1] (numeric) 0.8261894960020906 absolute error 1.021405182655144e-13 relative error 1.2362843967368544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) 0.8216256435332714 y[1] (numeric) 0.8216256435333732 absolute error 1.0180745135812685e-13 relative error 1.2390977832717098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) 0.8169615708557761 y[1] (numeric) 0.8169615708558774 absolute error 1.0125233984581428e-13 relative error 1.2393770216113269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) 0.8121973883723104 y[1] (numeric) 0.8121973883724111 absolute error 1.006972283335017e-13 relative error 1.2398122645445174e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) 0.8073332183379964 y[1] (numeric) 0.8073332183380967 absolute error 1.0025313912365164e-13 relative error 1.2417814211836366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) 0.802369194883462 y[1] (numeric) 0.8023691948835618 absolute error 9.980904991380157e-14 relative error 1.2439292354475058e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) 0.7973054640366545 y[1] (numeric) 0.797305464036754 absolute error 9.947598300641403e-14 relative error 1.2476520918692816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) 0.7921421837432758 y[1] (numeric) 0.7921421837433746 absolute error 9.880984919163893e-14 relative error 1.2473751710167991e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) 0.786879523885829 y[1] (numeric) 0.7868795238859272 absolute error 9.814371537686384e-14 relative error 1.2472521192596675e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) 0.7815176663012745 y[1] (numeric) 0.7815176663013723 absolute error 9.781064846947629e-14 relative error 1.2515475041324319e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) 0.7760568047972891 y[1] (numeric) 0.7760568047973864 absolute error 9.725553695716371e-14 relative error 1.2532012651131571e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) 0.770497145167122 y[1] (numeric) 0.7704971451672185 absolute error 9.64783808399261e-14 relative error 1.2521575380918485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) 0.764838905203044 y[1] (numeric) 0.7648389052031397 absolute error 9.57012247226885e-14 relative error 1.2512598937064062e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) 0.7590823147083854 y[1] (numeric) 0.7590823147084804 absolute error 9.50350909079134e-14 relative error 1.2519734561912798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) 0.7532276155081571 y[1] (numeric) 0.7532276155082516 absolute error 9.447997939560082e-14 relative error 1.2543350436223837e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) 0.7472750614582513 y[1] (numeric) 0.7472750614583452 absolute error 9.392486788328824e-14 relative error 1.2568981989041746e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) 0.741224918453216 y[1] (numeric) 0.7412249184533094 absolute error 9.336975637097567e-14 relative error 1.2596683415044808e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) 0.7350774644326021 y[1] (numeric) 0.7350774644326946 absolute error 9.248157795127554e-14 relative error 1.2581201631947866e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) 0.7288329893858749 y[1] (numeric) 0.7288329893859669 absolute error 9.192646643896296e-14 relative error 1.2612830069124822e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) 0.722491795355892 y[1] (numeric) 0.7224917953559834 absolute error 9.137135492665038e-14 relative error 1.2646697929855632e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) 0.7160541964409373 y[1] (numeric) 0.7160541964410279 absolute error 9.059419880941277e-14 relative error 1.2651863400801298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) 0.7095205187953141 y[1] (numeric) 0.7095205187954038 absolute error 8.970602038971265e-14 relative error 1.2643189028842093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) 0.7028911006284881 y[1] (numeric) 0.7028911006285772 absolute error 8.903988657493755e-14 relative error 1.2667664520908401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) 0.6961662922027843 y[1] (numeric) 0.6961662922028723 absolute error 8.804068585277491e-14 relative error 1.2646502256551342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) 0.689346455829625 y[1] (numeric) 0.6893464558297123 absolute error 8.737455203799982e-14 relative error 1.2674983863207796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) 0.682431965864318 y[1] (numeric) 0.6824319658644046 absolute error 8.659739592076221e-14 relative error 1.2689528077877233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) 0.6754232086993812 y[1] (numeric) 0.6754232086994671 absolute error 8.593126210598712e-14 relative error 1.2722580598238457e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) 0.6683205827564098 y[1] (numeric) 0.668320582756495 absolute error 8.515410598874951e-14 relative error 1.274150582607248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) 0.6611244984764788 y[1] (numeric) 0.6611244984765632 absolute error 8.43769498715119e-14 relative error 1.2762641539672701e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) 0.6538353783090801 y[1] (numeric) 0.6538353783091635 absolute error 8.337774914934926e-14 relative error 1.2752101203972332e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) 0.6464536566995932 y[1] (numeric) 0.6464536566996759 absolute error 8.271161533457416e-14 relative error 1.2794670503814664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) 0.638979780075287 y[1] (numeric) 0.6389797800753692 absolute error 8.215650382226158e-14 relative error 1.2857449700925059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) 0.631414206829851 y[1] (numeric) 0.6314142068299323 absolute error 8.126832540256146e-14 relative error 1.2870842075376531e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 0.6237574073064549 y[1] (numeric) 0.6237574073065354 absolute error 8.049116928532385e-14 relative error 1.2904242633831868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 0.616009863779335 y[1] (numeric) 0.6160098637794145 absolute error 7.949196856316121e-14 relative error 1.2904333718856905e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 0.6081720704339063 y[1] (numeric) 0.608172070433985 absolute error 7.87148124459236e-14 relative error 1.2942852240775172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 0.6002445333454024 y[1] (numeric) 0.6002445333454803 absolute error 7.793765632868599e-14 relative error 1.2984317557097658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 0.5922277704560356 y[1] (numeric) 0.5922277704561124 absolute error 7.682743330406083e-14 relative error 1.2972615796942633e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 0.5841223115506847 y[1] (numeric) 0.5841223115507607 absolute error 7.593925488436071e-14 relative error 1.300057426033989e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 0.575928698231105 y[1] (numeric) 0.5759286982311799 absolute error 7.482903185973555e-14 relative error 1.2992759709589715e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 0.5676474838886618 y[1] (numeric) 0.5676474838887358 absolute error 7.394085344003543e-14 relative error 1.3025840074812727e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 0.559279233675584 y[1] (numeric) 0.5592792336756609 absolute error 7.693845560652335e-14 relative error 1.3756715961163746e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 0.5508245244747572 y[1] (numeric) 0.5508245244748369 absolute error 7.971401316808624e-14 relative error 1.4471761809098485e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 0.5422839448680176 y[1] (numeric) 0.5422839448680998 absolute error 8.22675261247241e-14 relative error 1.517056274729774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 0.5336580951029856 y[1] (numeric) 0.5336580951030708 absolute error 8.526512829121202e-14 relative error 1.5977482413109e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 0.5249475870584223 y[1] (numeric) 0.5249475870585106 absolute error 8.837375276016246e-14 relative error 1.6834776449849118e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 0.5161530442081118 y[1] (numeric) 0.5161530442082033 absolute error 9.14823772291129e-14 relative error 1.7723886017075857e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 0.5072751015832709 y[1] (numeric) 0.5072751015833652 absolute error 9.425793479067579e-14 relative error 1.8581226339807462e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 0.4983144057334876 y[1] (numeric) 0.4983144057335848 absolute error 9.720002580593246e-14 relative error 1.9505762764947584e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 0.4892716146861906 y[1] (numeric) 0.48927161468629093 absolute error 1.0030865027488289e-13 relative error 2.050162880166652e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 0.48014739790465044 y[1] (numeric) 0.48014739790475386 absolute error 1.0341727474383333e-13 relative error 2.1538651504755285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 0.47094243624451404 y[1] (numeric) 0.47094243624462057 absolute error 1.0652589921278377e-13 relative error 2.2619728233086084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 0.4616574219088755 y[1] (numeric) 0.4616574219089852 absolute error 1.0969003483296547e-13 relative error 2.3760050121021707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 0.45229305840188494 y[1] (numeric) 0.45229305840199774 absolute error 1.127986593019159e-13 relative error 2.493928597986323e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 0.4428500604808968 y[1] (numeric) 0.4428500604810129 absolute error 1.1607381722456012e-13 relative error 2.621063596525515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 0.4333291541071626 y[1] (numeric) 0.4333291541072819 absolute error 1.1929346399597307e-13 relative error 2.7529526427033735e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 0.42373107639506735 y[1] (numeric) 0.4237310763951898 absolute error 1.2245759961615477e-13 relative error 2.8899839175822198e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 0.4140565755599158 y[1] (numeric) 0.4140565755600416 absolute error 1.2578826869003024e-13 relative error 3.0379488242622566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) 0.4043064108642702 y[1] (numeric) 0.40430641086439917 absolute error 1.2895240431021193e-13 relative error 3.189472163811485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) 0.39448135256284167 y[1] (numeric) 0.39448135256297384 absolute error 1.3217205108162489e-13 relative error 3.350527223224566e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) 0.38458218184594095 y[1] (numeric) 0.38458218184607657 absolute error 1.3561374245796287e-13 relative error 3.526261716209414e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) 0.37460969078149076 y[1] (numeric) 0.37460969078162965 absolute error 1.3888890038060708e-13 relative error 3.7075629327918473e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) 0.36456468225560323 y[1] (numeric) 0.3645646822557455 absolute error 1.422750806057138e-13 relative error 3.902601857246337e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) 0.3544479699117277 y[1] (numeric) 0.3544479699118733 absolute error 1.4555023852835802e-13 relative error 4.106392217865039e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) 0.34426037808837123 y[1] (numeric) 0.34426037808852017 absolute error 1.4893641875346475e-13 relative error 4.3262724447259203e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) 0.3340027417553982 y[1] (numeric) 0.33400274175555056 absolute error 1.5237811012980274e-13 relative error 4.562181415905697e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) 0.32367590644891175 y[1] (numeric) 0.3236759064490676 absolute error 1.5581980150614072e-13 relative error 4.814068591501263e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) 0.3132807282047225 y[1] (numeric) 0.3132807282048818 absolute error 1.592614928824787e-13 relative error 5.0836670929341237e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) 0.30281807349041 y[1] (numeric) 0.3028180734905727 absolute error 1.627031842588167e-13 relative error 5.372968078933682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) 0.29228881913597965 y[1] (numeric) 0.29228881913614585 absolute error 1.6620038678638593e-13 relative error 5.686169839738741e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) 0.28169385226312404 y[1] (numeric) 0.28169385226329385 absolute error 1.698086116164177e-13 relative error 6.028126288599411e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) 0.2710340702130905 y[1] (numeric) 0.2710340702132639 absolute error 1.7341683644644945e-13 relative error 6.398340854716415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) 0.2603103804731621 y[1] (numeric) 0.260310380473339 absolute error 1.769140389740187e-13 relative error 6.796272920520682e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) 0.2495237006017575 y[1] (numeric) 0.24952370060193801 absolute error 1.8052226380405045e-13 relative error 7.234674035720796e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) 0.2386749581521569 y[1] (numeric) 0.238674958152341 absolute error 1.8410273305846658e-13 relative error 7.713533689659217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) 0.22776509059485678 y[1] (numeric) 0.2277650905950445 absolute error 1.8771095788849834e-13 relative error 8.241427929023338e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) 0.2167950452385637 y[1] (numeric) 0.2167950452387551 absolute error 1.91402449445377e-13 relative error 8.828728038261003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) 0.20576577914983063 y[1] (numeric) 0.20576577915002578 absolute error 1.951494521534869e-13 relative error 9.484057697047217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) 0.19467825907134426 y[1] (numeric) 0.19467825907154307 absolute error 1.988131881347499e-13 relative error 1.0212398091247072e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 0.18353346133886833 y[1] (numeric) 0.18353346133907086 absolute error 2.0253243526724418e-13 relative error 1.103517766132558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 0.172332371796852 y[1] (numeric) 0.17233237179705832 absolute error 2.0630719355096971e-13 relative error 1.1971470676105342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 0.16107598571270848 y[1] (numeric) 0.16107598571291848 absolute error 2.0999868510784836e-13 relative error 1.3037243520731718e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 0.1497653076897721 y[1] (numeric) 0.14976530768998586 absolute error 2.137734433915739e-13 relative error 1.4273896050371692e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 0.13840135157894154 y[1] (numeric) 0.13840135157915912 absolute error 2.1757595725091505e-13 relative error 1.572065263588223e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 0.1269851403890161 y[1] (numeric) 0.12698514038923753 absolute error 2.2143398226148747e-13 relative error 1.7437786939726137e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 0.11551770619573355 y[1] (numeric) 0.11551770619595876 absolute error 2.25208740545213e-13 relative error 1.9495603571249816e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 0.10400009004951645 y[1] (numeric) 0.10400009004974552 absolute error 2.290667655557854e-13 relative error 2.2025631463080688e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 0.09243334188193665 y[1] (numeric) 0.09243334188216962 absolute error 2.329664239297813e-13 relative error 2.52037218590825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 0.08081852041090488 y[1] (numeric) 0.08081852041114167 absolute error 2.3678281557693026e-13 relative error 2.929808840511525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 0.06915669304459422 y[1] (numeric) 0.06915669304483492 absolute error 2.4069635173873394e-13 relative error 3.480449124187098e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 0.0574489357841069 y[1] (numeric) 0.05744893578435151 absolute error 2.446098879005376e-13 relative error 4.2578663044304524e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 0.04569633312489197 y[1] (numeric) 0.04569633312514052 absolute error 2.485511796379569e-13 relative error 5.439193095836494e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 0.033899977956923746 y[1] (numeric) 0.03389997795717622 absolute error 2.524716546936645e-13 relative error 7.44754627907065e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 0.02206097146364957 y[1] (numeric) 0.02206097146390601 absolute error 2.5644070200669944e-13 relative error 1.162417994281183e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 0.01018042301971673 y[1] (numeric) 0.010180423019977122 absolute error 2.603924020849746e-13 relative error 2.557775856471434e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) -0.001740549912512726 y[1] (numeric) -0.0017405499122483434 absolute error 2.6438269976059026e-13 relative error 1.518960748324172e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) -0.013700821887648908 y[1] (numeric) -0.013700821887380539 absolute error 2.6836866062751596e-13 relative error 1.958777822441779e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) -0.025699259583153687 y[1] (numeric) -0.025699259582881318 absolute error 2.723689329631185e-13 relative error 1.0598318293250015e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) -0.03773472190640256 y[1] (numeric) -0.03773472190612614 absolute error 2.7642471644995226e-13 relative error 7.325473794019148e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) -0.049806060102918735 y[1] (numeric) -0.049806060102638314 absolute error 2.804215193386028e-13 relative error 5.630269062823734e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) -0.06191211786576983 y[1] (numeric) -0.06191211786548534 absolute error 2.8449465006019636e-13 relative error 4.595136782059408e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) -0.07405173144611558 y[1] (numeric) -0.07405173144582705 absolute error 2.8853308631227037e-13 relative error 3.8963719102533623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) -0.08622372976489742 y[1] (numeric) -0.08622372976460482 absolute error 2.9259927813996e-13 relative error 3.3934889958689797e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) -0.09842693452565801 y[1] (numeric) -0.09842693452536135 absolute error 2.9666546996764964e-13 relative error 3.0140679621624774e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) -0.11066016032848074 y[1] (numeric) -0.11066016032817998 absolute error 3.007594173709549e-13 relative error 2.717865367971531e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) -0.12292221478503766 y[1] (numeric) -0.12292221478473281 absolute error 3.0485336477426017e-13 relative error 2.4800510250110424e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) -0.13521189863473498 y[1] (numeric) -0.1352118986344261 absolute error 3.088918010263342e-13 relative error 2.2845016166867288e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) -0.1475280058619447 y[1] (numeric) -0.1475280058616317 absolute error 3.1299962621744726e-13 relative error 2.1216285300456736e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) -0.15986932381431088 y[1] (numeric) -0.1598693238139937 absolute error 3.171629625597916e-13 relative error 1.9838888098893705e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) -0.17223463332211897 y[1] (numeric) -0.17223463332179767 absolute error 3.212985433265203e-13 relative error 1.8654700110495026e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) -0.18462270881871698 y[1] (numeric) -0.18462270881839152 absolute error 3.2546187966886464e-13 relative error 1.7628485777902822e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) -0.1970323184619752 y[1] (numeric) -0.19703231846164562 absolute error 3.295697048599777e-13 relative error 1.6726682578400486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -0.2094622242567744 y[1] (numeric) -0.20946222425644062 absolute error 3.337885523535533e-13 relative error 1.5935501188241485e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -0.22191118217850841 y[1] (numeric) -0.22191118217817046 absolute error 3.3795188869589765e-13 relative error 1.5229150932288058e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) -0.23437794229759001 y[1] (numeric) -0.23437794229724795 absolute error 3.4205971388701073e-13 relative error 1.45943645777339e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -0.24686124890494754 y[1] (numeric) -0.2468612489046013 absolute error 3.462508058049707e-13 relative error 1.4026130360309914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) -0.25935984063849876 y[1] (numeric) -0.2593598406381483 absolute error 3.5044189772293066e-13 relative error 1.3511802631440694e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -0.2718724506105904 y[1] (numeric) -0.2718724506102356 absolute error 3.5477176751896877e-13 relative error 1.3049198869624238e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) -0.2843978065363895 y[1] (numeric) -0.2843978065360305 absolute error 3.590461261637756e-13 relative error 1.2624785350369243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -0.2969346308632147 y[1] (numeric) -0.2969346308628515 absolute error 3.6320946250611996e-13 relative error 1.2231967064610773e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -0.30948164090079255 y[1] (numeric) -0.3094816409004251 absolute error 3.6742830999969556e-13 relative error 1.1872378242865733e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) -0.3220375489524279 y[1] (numeric) -0.32203754895205633 absolute error 3.715916463420399e-13 relative error 1.1538767685656812e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -0.3346010624470726 y[1] (numeric) -0.33460106244669685 absolute error 3.7575498268438423e-13 relative error 1.1229939915203388e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -0.3471708840722808 y[1] (numeric) -0.34717088407190083 absolute error 3.7997383017795983e-13 relative error 1.0944864549725588e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -0.3597457119080363 y[1] (numeric) -0.3597457119076521 absolute error 3.841926776715354e-13 relative error 1.0679562395166191e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -0.37232423956143795 y[1] (numeric) -0.37232423956104954 absolute error 3.88411525165111e-13 relative error 1.0432077310427662e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -0.38490515630223027 y[1] (numeric) -0.38490515630183775 absolute error 3.925193503562241e-13 relative error 1.0197820006547667e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -0.3974871471991637 y[1] (numeric) -0.3974871471987671 absolute error 3.9662717554733717e-13 relative error 9.978364793481092e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -0.4100688932571722 y[1] (numeric) -0.41006889325677137 absolute error 4.0084602304091277e-13 relative error 9.77508973814126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -0.42264907155535164 y[1] (numeric) -0.4226490715549465 absolute error 4.051203816857196e-13 relative error 9.585266097826115e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) -0.4352263553857266 y[1] (numeric) -0.4352263553853173 absolute error 4.093392291792952e-13 relative error 9.405203157251621e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -0.4477994143927903 y[1] (numeric) -0.44779941439237675 absolute error 4.135580766728708e-13 relative error 9.235342061213942e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -0.4603669147138023 y[1] (numeric) -0.46036691471338465 absolute error 4.176659018639839e-13 relative error 9.07245695802522e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -0.472927519119831 y[1] (numeric) -0.47292751911940906 absolute error 4.2194026050879074e-13 relative error 8.921880065132749e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -0.48547988715752344 y[1] (numeric) -0.48547988715709733 absolute error 4.261035968511351e-13 relative error 8.776956741626609e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -0.4980226752915906 y[1] (numeric) -0.49802267529116034 absolute error 4.302669331934794e-13 relative error 8.639504876792198e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -0.51055453704799 y[1] (numeric) -0.5105545370475557 absolute error 4.3431924723336124e-13 relative error 8.506813978083149e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -0.5230741231577929 y[1] (numeric) -0.5230741231573546 absolute error 4.383160501220118e-13 relative error 8.379616400748378e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -0.5355800817017191 y[1] (numeric) -0.5355800817012765 absolute error 4.426459199180499e-13 relative error 8.264794286441984e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -0.5480710582553248 y[1] (numeric) -0.5480710582548778 absolute error 4.46975789714088e-13 relative error 8.155435011236437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; Iterations 4900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.0204081632654%