##############ECHO OF PROBLEM################# ##############temp/sub_sin_cospostode.ode################# diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #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(cos(c(x)) - sin(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) 0.8951707486311977 y[1] (numeric) 0.8951707486311977 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) 0.8841777971195219 y[1] (numeric) 0.884177797119522 absolute error 1.1102230246251565e-16 relative error 1.2556558513932896e-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) 0.8730964285649468 y[1] (numeric) 0.8730964285649468 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) 0.8619277510950932 y[1] (numeric) 0.861927751095093 absolute error 2.220446049250313e-16 relative error 2.57613941125483e-14% 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) 0.8506728815684006 y[1] (numeric) 0.8506728815684006 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] 0.15000000000000005 y[1] (closed_form) 0.839332945462443 y[1] (numeric) 0.839332945462443 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] 0.16000000000000006 y[1] (closed_form) 0.8279090767613809 y[1] (numeric) 0.8279090767613809 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] 0.17000000000000007 y[1] (closed_form) 0.8164024178425646 y[1] (numeric) 0.8164024178425646 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] 0.18000000000000008 y[1] (closed_form) 0.8048141193622972 y[1] (numeric) 0.8048141193622972 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] 0.19000000000000009 y[1] (closed_form) 0.7931453401407697 y[1] (numeric) 0.7931453401407698 absolute error 1.1102230246251565e-16 relative error 1.3997724861222927e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.7813972470461803 y[1] (numeric) 0.7813972470461803 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] 0.2100000000000001 y[1] (closed_form) 0.7695710148780486 y[1] (numeric) 0.7695710148780485 absolute error 1.1102230246251565e-16 relative error 1.4426518192100697e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.757667826249736 y[1] (numeric) 0.757667826249736 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] 0.23000000000000012 y[1] (closed_form) 0.7456888714701863 y[1] (numeric) 0.7456888714701864 absolute error 1.1102230246251565e-16 relative error 1.4888555630933068e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.7336353484248949 y[1] (numeric) 0.7336353484248949 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] 0.2500000000000001 y[1] (closed_form) 0.7215084624561217 y[1] (numeric) 0.7215084624561218 absolute error 1.1102230246251565e-16 relative error 1.5387526029089014e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.709309426242358 y[1] (numeric) 0.709309426242358 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] 0.27000000000000013 y[1] (closed_form) 0.6970394596770593 y[1] (numeric) 0.6970394596770593 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] 0.28000000000000014 y[1] (closed_form) 0.684699789746657 y[1] (numeric) 0.6846997897466571 absolute error 1.1102230246251565e-16 relative error 1.6214741719665863e-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) 0.6722916504078613 y[1] (numeric) 0.6722916504078618 absolute error 4.440892098500626e-16 relative error 6.605603529073217e-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) 0.6598162824642663 y[1] (numeric) 0.6598162824642665 absolute error 2.220446049250313e-16 relative error 3.365248946202788e-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) 0.6472749334422697 y[1] (numeric) 0.6472749334422698 absolute error 1.1102230246251565e-16 relative error 1.7152263547746006e-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) 0.6346688574663228 y[1] (numeric) 0.6346688574663231 absolute error 2.220446049250313e-16 relative error 3.498589891608374e-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) 0.6219993151335184 y[1] (numeric) 0.6219993151335187 absolute error 3.3306690738754696e-16 relative error 5.354779326662937e-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) 0.6092675733875317 y[1] (numeric) 0.6092675733875317 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] 0.3500000000000002 y[1] (closed_form) 0.5964749053919274 y[1] (numeric) 0.5964749053919275 absolute error 1.1102230246251565e-16 relative error 1.8613071808874494e-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) 0.5836225904028447 y[1] (numeric) 0.5836225904028448 absolute error 1.1102230246251565e-16 relative error 1.9022961805827745e-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) 0.5707119136410721 y[1] (numeric) 0.5707119136410723 absolute error 2.220446049250313e-16 relative error 3.8906600618938185e-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) 0.5577441661635272 y[1] (numeric) 0.5577441661635275 absolute error 3.3306690738754696e-16 relative error 5.971678909320833e-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) 0.5447206447341513 y[1] (numeric) 0.5447206447341515 absolute error 2.220446049250313e-16 relative error 4.0763023592285413e-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) 0.5316426516942343 y[1] (numeric) 0.5316426516942344 absolute error 1.1102230246251565e-16 relative error 2.0882881030841057e-14% 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) 0.5185114948321818 y[1] (numeric) 0.5185114948321818 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] 0.42000000000000026 y[1] (closed_form) 0.5053284872527377 y[1] (numeric) 0.5053284872527376 absolute error 1.1102230246251565e-16 relative error 2.1970323317036422e-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) 0.492094947245674 y[1] (numeric) 0.4920949472456739 absolute error 1.1102230246251565e-16 relative error 2.2561154729168306e-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) 0.4788121981539634 y[1] (numeric) 0.47881219815396336 absolute error 5.551115123125783e-17 relative error 1.1593512330153305e-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) 0.4654815682414463 y[1] (numeric) 0.4654815682414463 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] 0.4600000000000003 y[1] (closed_form) 0.45210439056000506 y[1] (numeric) 0.45210439056000506 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] 0.4700000000000003 y[1] (closed_form) 0.4386820028162603 y[1] (numeric) 0.4386820028162602 absolute error 1.1102230246251565e-16 relative error 2.5308150721883336e-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) 0.42521574723780087 y[1] (numeric) 0.42521574723780087 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) 0.41170697043896304 y[1] (numeric) 0.4117069704389631 absolute error 5.551115123125783e-17 relative error 1.3483170122689858e-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) 0.39815702328616925 y[1] (numeric) 0.3981570232861693 absolute error 5.551115123125783e-17 relative error 1.3942024875788777e-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) 0.38456726076284325 y[1] (numeric) 0.38456726076284337 absolute error 1.1102230246251565e-16 relative error 2.886941083915654e-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) 0.37093904183391274 y[1] (numeric) 0.3709390418339128 absolute error 5.551115123125783e-17 relative error 1.496503332644959e-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) 0.3572737293099135 y[1] (numeric) 0.35727372930991363 absolute error 1.1102230246251565e-16 relative error 3.107485755444685e-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) 0.34357268971071053 y[1] (numeric) 0.3435726897107106 absolute error 5.551115123125783e-17 relative error 1.6157032527235626e-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) 0.32983729312884613 y[1] (numeric) 0.3298372931288461 absolute error 5.551115123125783e-17 relative error 1.6829858960057984e-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) 0.31606891309253216 y[1] (numeric) 0.3160689130925322 absolute error 5.551115123125783e-17 relative error 1.7562989883477218e-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) 0.30226892642829895 y[1] (numeric) 0.30226892642829895 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] 0.5800000000000004 y[1] (closed_form) 0.2884387131233128 y[1] (numeric) 0.2884387131233129 absolute error 5.551115123125783e-17 relative error 1.924538860618401e-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) 0.2745796561873791 y[1] (numeric) 0.27457965618737923 absolute error 1.1102230246251565e-16 relative error 4.043354995926997e-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) 0.2606931415146424 y[1] (numeric) 0.2606931415146424 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] 0.6100000000000004 y[1] (closed_form) 0.24678055774499763 y[1] (numeric) 0.24678055774499774 absolute error 1.1102230246251565e-16 relative error 4.498826952860557e-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) 0.23284329612522825 y[1] (numeric) 0.23284329612522833 absolute error 8.326672684688674e-17 relative error 3.5760843551237166e-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) 0.2188827503698818 y[1] (numeric) 0.21888275036988183 absolute error 2.7755575615628914e-17 relative error 1.2680567823972332e-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) 0.20490031652189988 y[1] (numeric) 0.20490031652190008 absolute error 1.942890293094024e-16 relative error 9.482124410902832e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.19089739281301565 y[1] (numeric) 0.19089739281301582 absolute error 1.6653345369377348e-16 relative error 8.72371545990119e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.17687537952393062 y[1] (numeric) 0.17687537952393084 absolute error 2.220446049250313e-16 relative error 1.2553731645561753e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.16283567884428896 y[1] (numeric) 0.16283567884428915 absolute error 1.942890293094024e-16 relative error 1.1931600659533012e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.14877969473245867 y[1] (numeric) 0.14877969473245897 absolute error 3.0531133177191805e-16 relative error 2.052103496521757e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.134708832775138 y[1] (numeric) 0.13470883277513818 absolute error 1.6653345369377348e-16 relative error 1.2362474699172738e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.12062450004679659 y[1] (numeric) 0.1206245000467969 absolute error 3.0531133177191805e-16 relative error 2.531088888687387e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.1065281049689708 y[1] (numeric) 0.106528104968971 absolute error 1.942890293094024e-16 relative error 1.823828832456884e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.09242105716942106 y[1] (numeric) 0.09242105716942135 absolute error 2.914335439641036e-16 relative error 3.1533240680190886e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.07830476734117175 y[1] (numeric) 0.07830476734117205 absolute error 2.914335439641036e-16 relative error 3.7217854526575057e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.064180647101442 y[1] (numeric) 0.06418064710144239 absolute error 3.885780586188048e-16 relative error 6.054442829232152e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.050050108850485886 y[1] (numeric) 0.05005010885048627 absolute error 3.8163916471489756e-16 relative error 7.625141552737954e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.035914565630353 y[1] (numeric) 0.035914565630353376 absolute error 3.7470027081099033e-16 relative error 1.0433100449203662e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.02177543098358581 y[1] (numeric) 0.021775430983586152 absolute error 3.434752482434078e-16 relative error 1.5773522393302682e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.007634118811866375 y[1] (numeric) 0.007634118811866708 absolute error 3.3306690738754696e-16 relative error 4.362872986333827e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) -0.0065079567653726356 y[1] (numeric) -0.0065079567653721785 absolute error 4.570996359198887e-16 relative error 7.023704250034547e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) -0.02064938155235818 y[1] (numeric) -0.020649381552357807 absolute error 3.7470027081099033e-16 relative error 1.814583501500553e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) -0.034788741418396274 y[1] (numeric) -0.03478874141839597 absolute error 3.0531133177191805e-16 relative error 8.776153414117751e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) -0.048924622439283194 y[1] (numeric) -0.04892462243928281 absolute error 3.8163916471489756e-16 relative error 7.800554111347967e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) -0.0630556110386965 y[1] (numeric) -0.06305561103869611 absolute error 3.885780586188048e-16 relative error 6.162465991810609e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) -0.07718029412955207 y[1] (numeric) -0.0771802941295517 absolute error 3.7470027081099033e-16 relative error 4.854869692282228e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) -0.09129725925531151 y[1] (numeric) -0.091297259255311 absolute error 5.134781488891349e-16 relative error 5.624244945329634e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) -0.10540509473122606 y[1] (numeric) -0.10540509473122558 absolute error 4.718447854656915e-16 relative error 4.476489363904612e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) -0.11950238978550487 y[1] (numeric) -0.11950238978550434 absolute error 5.273559366969494e-16 relative error 4.412932140047591e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) -0.1335877347003901 y[1] (numeric) -0.1335877347003896 absolute error 4.996003610813204e-16 relative error 3.7398670035226037e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) -0.14765972095312796 y[1] (numeric) -0.14765972095312752 absolute error 4.440892098500626e-16 relative error 3.007517601845063e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) -0.1617169413568199 y[1] (numeric) -0.16171694135681952 absolute error 3.885780586188048e-16 relative error 2.40282839483977e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) -0.1757579902011398 y[1] (numeric) -0.17575799020113944 absolute error 3.608224830031759e-16 relative error 2.0529506658004328e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) -0.18978146339290425 y[1] (numeric) -0.18978146339290372 absolute error 5.273559366969494e-16 relative error 2.7787536636555765e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) -0.20378595859647985 y[1] (numeric) -0.20378595859647944 absolute error 4.163336342344337e-16 relative error 2.042994704354598e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) -0.21777007537401705 y[1] (numeric) -0.21777007537401655 absolute error 4.996003610813204e-16 relative error 2.294164431101306e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) -0.23173241532549127 y[1] (numeric) -0.23173241532549077 absolute error 4.996003610813204e-16 relative error 2.155936451012181e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) -0.24567158222854268 y[1] (numeric) -0.24567158222854216 absolute error 5.273559366969494e-16 relative error 2.1465890841471527e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) -0.2595861821780968 y[1] (numeric) -0.25958618217809626 absolute error 5.551115123125783e-16 relative error 2.1384478467029016e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) -0.27347482372575427 y[1] (numeric) -0.27347482372575366 absolute error 6.106226635438361e-16 relative error 2.232829535183027e-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) -0.287336118018934 y[1] (numeric) -0.28733611801893333 absolute error 6.661338147750939e-16 relative error 2.3183086740637286e-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) -0.30116867893975763 y[1] (numeric) -0.3011686789397572 absolute error 4.440892098500626e-16 relative error 1.4745531023127845e-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) -0.31497112324365917 y[1] (numeric) -0.31497112324366006 absolute error 8.881784197001252e-16 relative error 2.8198725348324627e-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) -0.3287420706977112 y[1] (numeric) -0.3287420706977137 absolute error 2.4980018054066022e-15 relative error 7.598667855638088e-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) -0.3424801442186445 y[1] (numeric) -0.3424801442186484 absolute error 3.941291737419306e-15 relative error 1.1508088290523277e-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) -0.3561839700105549 y[1] (numeric) -0.3561839700105604 absolute error 5.495603971894525e-15 relative error 1.5429116508897556e-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) -0.36985217770228335 y[1] (numeric) -0.36985217770229034 absolute error 6.994405055138486e-15 relative error 1.8911352904804877e-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) -0.3834834004844506 y[1] (numeric) -0.3834834004844591 absolute error 8.493206138382448e-15 relative error 2.214751962575973e-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) -0.3970762752461379 y[1] (numeric) -0.3970762752461479 absolute error 9.992007221626409e-15 relative error 2.516394920707012e-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) -0.41062944271119645 y[1] (numeric) -0.410629442711208 absolute error 1.1546319456101628e-14 relative error 2.8118586382570663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) -0.4241415475741739 y[1] (numeric) -0.4241415475741869 absolute error 1.2989609388114332e-14 relative error 3.062564717464447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) -0.43761123863584406 y[1] (numeric) -0.43761123863585855 absolute error 1.4488410471358293e-14 relative error 3.3107948773259796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) -0.4510371689383254 y[1] (numeric) -0.45103716893834134 absolute error 1.5931700403370996e-14 relative error 3.5322366981133408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) -0.46441799589977606 y[1] (numeric) -0.4644179958997934 absolute error 1.7319479184152442e-14 relative error 3.729286835794813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) -0.4777523814486504 y[1] (numeric) -0.47775238144866916 absolute error 1.8762769116165146e-14 relative error 3.927299966411952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) -0.49103899215750557 y[1] (numeric) -0.49103899215752583 absolute error 2.0261570199409107e-14 relative error 4.126265026405481e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) -0.5042764993763428 y[1] (numeric) -0.5042764993763644 absolute error 2.1649348980190553e-14 relative error 4.293150485292314e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) -0.5174635793654715 y[1] (numeric) -0.5174635793654945 absolute error 2.298161660974074e-14 relative error 4.4412046617699064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) -0.5305989134278817 y[1] (numeric) -0.5305989134279062 absolute error 2.453592884421596e-14 relative error 4.62419507904832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) -0.5436811880411136 y[1] (numeric) -0.5436811880411394 absolute error 2.5757174171303632e-14 relative error 4.737551112280871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) -0.5567090949886074 y[1] (numeric) -0.5567090949886346 absolute error 2.7200464103316335e-14 relative error 4.8859385176513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) -0.5696813314905251 y[1] (numeric) -0.569681331490554 absolute error 2.886579864025407e-14 relative error 5.067007999845992e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) -0.5825966003340266 y[1] (numeric) -0.5825966003340569 absolute error 3.0309088572266774e-14 relative error 5.202414252827655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) -0.5954536100029904 y[1] (numeric) -0.5954536100030221 absolute error 3.175237850427948e-14 relative error 5.332468889410212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) -0.6082510748071634 y[1] (numeric) -0.6082510748071965 absolute error 3.3084646133829665e-14 relative error 5.439307467614198e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) -0.62098771501073 y[1] (numeric) -0.6209877150107647 absolute error 3.4638958368304884e-14 relative error 5.578042452531667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) -0.6336622569602837 y[1] (numeric) -0.6336622569603196 absolute error 3.597122599785507e-14 relative error 5.6767190412146726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) -0.6462734332121913 y[1] (numeric) -0.6462734332122287 absolute error 3.7414515929867775e-14 relative error 5.789270300638128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) -0.6588199826593371 y[1] (numeric) -0.658819982659376 absolute error 3.8968828164342995e-14 relative error 5.914943260683247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) -0.6713006506572319 y[1] (numeric) -0.6713006506572723 absolute error 4.04121180963557e-14 relative error 6.019973026510628e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) -0.6837141891494763 y[1] (numeric) -0.6837141891495181 absolute error 4.1744385725905886e-14 relative error 6.105531578602293e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) -0.6960593567925657 y[1] (numeric) -0.6960593567926089 absolute error 4.318767565791859e-14 relative error 6.204596667865647e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) -0.7083349190800234 y[1] (numeric) -0.708334919080068 absolute error 4.451994328746878e-14 relative error 6.285154393530496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) -0.7205396484658502 y[1] (numeric) -0.7205396484658961 absolute error 4.596323321948148e-14 relative error 6.3790012551488206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) -0.7326723244872781 y[1] (numeric) -0.7326723244873254 absolute error 4.729550084903167e-14 relative error 6.455205044373542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) -0.7447317338868157 y[1] (numeric) -0.7447317338868644 absolute error 4.873879078104437e-14 relative error 6.544476160116428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) -0.7567166707335722 y[1] (numeric) -0.7567166707336221 absolute error 4.9960036108132044e-14 relative error 6.602211638829108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) -0.7686259365438506 y[1] (numeric) -0.7686259365439018 absolute error 5.1181281435219717e-14 relative error 6.658802286240544e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) -0.7804583404009939 y[1] (numeric) -0.7804583404010466 absolute error 5.262457136723242e-14 relative error 6.7427777554653705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) -0.7922126990744771 y[1] (numeric) -0.7922126990745308 absolute error 5.3734794391857577e-14 relative error 6.7828746565959665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) -0.8038878371382279 y[1] (numeric) -0.8038878371382828 absolute error 5.495603971894525e-14 relative error 6.836282025933377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) -0.8154825870881691 y[1] (numeric) -0.8154825870882253 absolute error 5.617728504603292e-14 relative error 6.888839312513621e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) -0.8269957894589681 y[1] (numeric) -0.8269957894590255 absolute error 5.739853037312059e-14 relative error 6.940607328928663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) -0.8384262929399822 y[1] (numeric) -0.8384262929400408 absolute error 5.861977570020827e-14 relative error 6.991643295757723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) -0.8497729544903883 y[1] (numeric) -0.8497729544904482 absolute error 5.995204332975845e-14 relative error 7.055066063583054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) -0.8610346394534873 y[1] (numeric) -0.8610346394535484 absolute error 6.106226635438361e-14 relative error 7.0917316860957905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) -0.8722102216701675 y[1] (numeric) -0.8722102216702299 absolute error 6.23945339839338e-14 relative error 7.153611874033819e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) -0.88329858359152 y[1] (numeric) -0.8832985835915836 absolute error 6.361577931102147e-14 relative error 7.202069661694429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) -0.8942986163905932 y[1] (numeric) -0.894298616390658 absolute error 6.483702463810914e-14 relative error 7.250041926688051e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) -0.9052092200732738 y[1] (numeric) -0.9052092200733397 absolute error 6.59472476627343e-14 relative error 7.285304457835292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) -0.9160293035882854 y[1] (numeric) -0.9160293035883528 absolute error 6.7390537594747e-14 relative error 7.35681023857683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) -0.9267577849362933 y[1] (numeric) -0.926757784936362 absolute error 6.861178292183467e-14 relative error 7.40342126465667e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) -0.9373935912781035 y[1] (numeric) -0.9373935912781732 absolute error 6.972200594645983e-14 relative error 7.437858184137605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) -0.9479356590419444 y[1] (numeric) -0.9479356590420153 absolute error 7.083222897108499e-14 relative error 7.472261254806408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) -0.958382934029825 y[1] (numeric) -0.9583829340298968 absolute error 7.183142969324763e-14 relative error 7.49506560923509e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) -0.9687343715229524 y[1] (numeric) -0.9687343715230254 absolute error 7.30526750203353e-14 relative error 7.541042949213086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) -0.9789889363862034 y[1] (numeric) -0.9789889363862777 absolute error 7.427392034742297e-14 relative error 7.586798745815704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) -0.9891456031716371 y[1] (numeric) -0.9891456031717126 absolute error 7.549516567451064e-14 relative error 7.632361245143267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) -0.9992033562210392 y[1] (numeric) -0.9992033562211156 absolute error 7.638334409421077e-14 relative error 7.644424292477416e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) -1.0091611897674857 y[1] (numeric) -1.0091611897675632 absolute error 7.749356711883593e-14 relative error 7.679007863618964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) -1.0190181080359204 y[1] (numeric) -1.019018108035999 absolute error 7.860379014346108e-14 relative error 7.71367942567418e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) -1.0287731253427304 y[1] (numeric) -1.02877312534281 absolute error 7.971401316808624e-14 relative error 7.74845407645441e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) -1.0384252661943143 y[1] (numeric) -1.0384252661943951 absolute error 8.08242361927114e-14 relative error 7.783346459675534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) -1.0479735653846303 y[1] (numeric) -1.047973565384712 absolute error 8.171241461241152e-14 relative error 7.797182802260971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) -1.0574170680917163 y[1] (numeric) -1.057417068091799 absolute error 8.260059303211165e-14 relative error 7.811543384785537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) -1.0667548299731708 y[1] (numeric) -1.0667548299732548 absolute error 8.393286066166183e-14 relative error 7.86805536786487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) -1.0759859172605877 y[1] (numeric) -1.075985917260672 absolute error 8.43769498715119e-14 relative error 7.841826599955124e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) -1.0851094068529306 y[1] (numeric) -1.0851094068530156 absolute error 8.504308368628699e-14 relative error 7.837281950483841e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) -1.0941243864088428 y[1] (numeric) -1.094124386408929 absolute error 8.615330671091215e-14 relative error 7.874178455494102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) -1.1030299544378814 y[1] (numeric) -1.103029954437969 absolute error 8.748557434046234e-14 relative error 7.931386993478897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) -1.111825220390665 y[1] (numeric) -1.1118252203907535 absolute error 8.859579736508749e-14 relative error 7.968500420772733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) -1.1205093047479273 y[1] (numeric) -1.120509304748017 absolute error 8.970602038971265e-14 relative error 8.005825566070881e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) -1.1290813391084695 y[1] (numeric) -1.1290813391085601 absolute error 9.059419880941277e-14 relative error 8.023708803915453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) -1.1375404662759991 y[1] (numeric) -1.1375404662760902 absolute error 9.103828801926284e-14 relative error 8.003081272114885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) -1.1458858403448482 y[1] (numeric) -1.14588584034494 absolute error 9.170442183403793e-14 relative error 8.002928267831635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) -1.1541166267845644 y[1] (numeric) -1.1541166267846572 absolute error 9.281464485866309e-14 relative error 8.04205075159952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) -1.162232002523363 y[1] (numeric) -1.1622320025234565 absolute error 9.348077867343818e-14 relative error 8.043211550747076e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) -1.1702311560304326 y[1] (numeric) -1.1702311560305267 absolute error 9.414691248821327e-14 relative error 8.0451551817823e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) -1.1781132873970885 y[1] (numeric) -1.1781132873971836 absolute error 9.50350909079134e-14 relative error 8.066719213216154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) -1.1858776084167628 y[1] (numeric) -1.1858776084168587 absolute error 9.592326932761353e-14 relative error 8.088800112827699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) -1.1935233426638234 y[1] (numeric) -1.19352334266392 absolute error 9.658940314238862e-14 relative error 8.092795481218728e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) -1.201049725571217 y[1] (numeric) -1.2010497255713144 absolute error 9.747758156208874e-14 relative error 8.116032124792219e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) -1.2084560045069248 y[1] (numeric) -1.2084560045070232 absolute error 9.836575998178887e-14 relative error 8.139788259972621e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) -1.2157414388492256 y[1] (numeric) -1.215741438849325 absolute error 9.947598300641403e-14 relative error 8.182330537369376e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) -1.2229053000607557 y[1] (numeric) -1.2229053000608565 absolute error 1.0080825063596421e-13 relative error 8.243340725643752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) -1.2299468717613644 y[1] (numeric) -1.2299468717614657 absolute error 1.0125233984581428e-13 relative error 8.232253129829445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) -1.236865449799749 y[1] (numeric) -1.2368654497998512 absolute error 1.021405182655144e-13 relative error 8.258013697613685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) -1.2436603423238717 y[1] (numeric) -1.243660342323974 absolute error 1.0236256287043943e-13 relative error 8.230749135183276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) -1.250330869850142 y[1] (numeric) -1.2503308698502453 absolute error 1.0325074129013956e-13 relative error 8.257873478123006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) -1.2568763653313662 y[1] (numeric) -1.2568763653314703 absolute error 1.0413891970983968e-13 relative error 8.285534089296383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) -1.263296174223451 y[1] (numeric) -1.2632961742235558 absolute error 1.0480505352461478e-13 relative error 8.296158546434173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) -1.2695896545508565 y[1] (numeric) -1.2695896545509622 absolute error 1.056932319443149e-13 relative error 8.324991588065993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) -1.275756176970795 y[1] (numeric) -1.2757561769709014 absolute error 1.0635936575909e-13 relative error 8.336966551996934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) -1.281795124836163 y[1] (numeric) -1.2817951248362702 absolute error 1.0724754417879012e-13 relative error 8.366980190574397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) -1.2877058942572064 y[1] (numeric) -1.2877058942573145 absolute error 1.0813572259849025e-13 relative error 8.397548157599038e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) -1.2934878941619088 y[1] (numeric) -1.2934878941620176 absolute error 1.0880185641326534e-13 relative error 8.411509447002708e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) -1.299140546355098 y[1] (numeric) -1.2991405463552077 absolute error 1.0969003483296547e-13 relative error 8.443276991139615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) -1.3046632855762654 y[1] (numeric) -1.3046632855763753 absolute error 1.099120794378905e-13 relative error 8.424555259048522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) -1.310055559556091 y[1] (numeric) -1.3100555595562011 absolute error 1.1013412404281553e-13 relative error 8.406828492078168e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) -1.3153168290716701 y[1] (numeric) -1.315316829071781 absolute error 1.1080025785759062e-13 relative error 8.423845525932463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) -1.3204465680004358 y[1] (numeric) -1.320446568000547 absolute error 1.1124434706744069e-13 relative error 8.424751880411111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) -1.32544426337277 y[1] (numeric) -1.325444263372882 absolute error 1.1191048088221578e-13 relative error 8.443243067606977e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) -1.3303094154233004 y[1] (numeric) -1.3303094154234123 absolute error 1.1191048088221578e-13 relative error 8.412364791585437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) -1.3350415376408757 y[1] (numeric) -1.3350415376409883 absolute error 1.1257661469699087e-13 relative error 8.43244285087359e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) -1.339640156817218 y[1] (numeric) -1.3396401568173313 absolute error 1.1324274851176597e-13 relative error 8.453221406919719e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) -1.3441048130942415 y[1] (numeric) -1.3441048130943558 absolute error 1.1435297153639112e-13 relative error 8.50774213605716e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) -1.3484350600100394 y[1] (numeric) -1.348435060010154 absolute error 1.1457501614131615e-13 relative error 8.49688795101954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) -1.3526304645435283 y[1] (numeric) -1.3526304645436438 absolute error 1.1546319456101628e-13 relative error 8.536196513951917e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) -1.3566906071577514 y[1] (numeric) -1.356690607157867 absolute error 1.156852391659413e-13 relative error 8.527017033625694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) -1.3606150818418303 y[1] (numeric) -1.3606150818419465 absolute error 1.1612932837579137e-13 relative error 8.535061085651794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) -1.3644034961515672 y[1] (numeric) -1.364403496151684 absolute error 1.1679546219056647e-13 relative error 8.560184910109028e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) -1.368055471248688 y[1] (numeric) -1.368055471248805 absolute error 1.170175067954915e-13 relative error 8.553564475619118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) -1.3715706419387266 y[1] (numeric) -1.3715706419388443 absolute error 1.176836406102666e-13 relative error 8.580209944120689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) -1.374948656707543 y[1] (numeric) -1.374948656707661 absolute error 1.1790568521519162e-13 relative error 8.575279130606156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) -1.3781891777564754 y[1] (numeric) -1.3781891777565938 absolute error 1.1834977442504169e-13 relative error 8.587338830921656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) -1.3812918810361192 y[1] (numeric) -1.381291881036238 absolute error 1.1879386363489175e-13 relative error 8.600199948021371e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) -1.3842564562787323 y[1] (numeric) -1.3842564562788517 absolute error 1.1945999744966684e-13 relative error 8.62990357804136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) -1.3870826070292608 y[1] (numeric) -1.3870826070293802 absolute error 1.1945999744966684e-13 relative error 8.612320336531104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) -1.3897700506749846 y[1] (numeric) -1.3897700506751045 absolute error 1.199040866595169e-13 relative error 8.627620562213281e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) -1.392318518473779 y[1] (numeric) -1.392318518473899 absolute error 1.2012613126444194e-13 relative error 8.627776594979207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) -1.3947277555809874 y[1] (numeric) -1.394727755581108 absolute error 1.20570220474292e-13 relative error 8.64471363617965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) -1.396997521074907 y[1] (numeric) -1.396997521075028 absolute error 1.2101430968414206e-13 relative error 8.662457009302973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) -1.39912758798088 y[1] (numeric) -1.3991275879810015 absolute error 1.2145839889399213e-13 relative error 8.681009504592225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) -1.4011177432939905 y[1] (numeric) -1.4011177432941122 absolute error 1.2168044349891716e-13 relative error 8.684526627494537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) -1.402967788000366 y[1] (numeric) -1.402967788000488 absolute error 1.2212453270876722e-13 relative error 8.704728202122867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) -1.4046775370970774 y[1] (numeric) -1.4046775370971993 absolute error 1.219024881038422e-13 relative error 8.678325443700571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) -1.4062468196106397 y[1] (numeric) -1.4062468196107618 absolute error 1.2212453270876722e-13 relative error 8.684430855643176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) -1.4076754786141097 y[1] (numeric) -1.4076754786142318 absolute error 1.2212453270876722e-13 relative error 8.675616970255229e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) -1.408963371242777 y[1] (numeric) -1.4089633712428995 absolute error 1.2256862191861728e-13 relative error 8.69920570117487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) -1.4101103687084526 y[1] (numeric) -1.410110368708575 absolute error 1.2234657731369225e-13 relative error 8.676383071046548e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) -1.4111163563123452 y[1] (numeric) -1.4111163563124676 absolute error 1.2234657731369225e-13 relative error 8.67019766062518e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) -1.4119812334565331 y[1] (numeric) -1.4119812334566555 absolute error 1.2234657731369225e-13 relative error 8.664886927299137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) -1.4127049136540224 y[1] (numeric) -1.4127049136541447 absolute error 1.2234657731369225e-13 relative error 8.660448203385767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) -1.4132873245373965 y[1] (numeric) -1.4132873245375193 absolute error 1.2279066652354231e-13 relative error 8.688301691500325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) -1.4137284078660524 y[1] (numeric) -1.4137284078661754 absolute error 1.2301271112846734e-13 relative error 8.701297253702957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) -1.4140281195320248 y[1] (numeric) -1.4140281195321476 absolute error 1.2279066652354231e-13 relative error 8.683749978337073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) -1.4141864295643969 y[1] (numeric) -1.4141864295645197 absolute error 1.2279066652354231e-13 relative error 8.682777882500595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) -1.4142033221322974 y[1] (numeric) -1.41420332213242 absolute error 1.2256862191861728e-13 relative error 8.666973128998993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) -1.4140787955464837 y[1] (numeric) -1.4140787955466059 absolute error 1.2212453270876722e-13 relative error 8.636331517973937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) -1.41381286225951 y[1] (numeric) -1.4138128622596324 absolute error 1.2234657731369225e-13 relative error 8.653661356437364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) -1.413405548864484 y[1] (numeric) -1.4134055488646065 absolute error 1.2234657731369225e-13 relative error 8.656155157448211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) -1.412856896092406 y[1] (numeric) -1.412856896092528 absolute error 1.2212453270876722e-13 relative error 8.643800589184359e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) -1.4121669588080952 y[1] (numeric) -1.4121669588082177 absolute error 1.2256862191861728e-13 relative error 8.679471018219284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) -1.4113358060047057 y[1] (numeric) -1.4113358060048278 absolute error 1.2212453270876722e-13 relative error 8.65311658566112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) -1.410363520796825 y[1] (numeric) -1.410363520796947 absolute error 1.219024881038422e-13 relative error 8.643338139869777e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) -1.4092502004121634 y[1] (numeric) -1.4092502004122855 absolute error 1.2212453270876722e-13 relative error 8.665922678105666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) -1.407995956181832 y[1] (numeric) -1.407995956181954 absolute error 1.219024881038422e-13 relative error 8.657872032133834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) -1.4066009135292088 y[1] (numeric) -1.4066009135293305 absolute error 1.2168044349891716e-13 relative error 8.650672861687317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) -1.4050652119573959 y[1] (numeric) -1.4050652119575175 absolute error 1.2168044349891716e-13 relative error 8.660127833455087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) -1.403389005035271 y[1] (numeric) -1.4033890050353925 absolute error 1.2145839889399213e-13 relative error 8.65464945629523e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) -1.40157246038213 y[1] (numeric) -1.4015724603822515 absolute error 1.2145839889399213e-13 relative error 8.665866541133182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) -1.3996157596509233 y[1] (numeric) -1.3996157596510448 absolute error 1.2145839889399213e-13 relative error 8.677981657214615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) -1.3975190985100947 y[1] (numeric) -1.3975190985102157 absolute error 1.2101430968414206e-13 relative error 8.659224035875882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) -1.3952826866240104 y[1] (numeric) -1.3952826866241308 absolute error 1.2034817586936697e-13 relative error 8.625361514415281e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) -1.3929067476319952 y[1] (numeric) -1.3929067476321153 absolute error 1.2012613126444194e-13 relative error 8.62413305619072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) -1.3903915191259686 y[1] (numeric) -1.3903915191260887 absolute error 1.2012613126444194e-13 relative error 8.639734176453832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) -1.3877372526266853 y[1] (numeric) -1.3877372526268053 absolute error 1.199040866595169e-13 relative error 8.640258552731398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) -1.3849442135585832 y[1] (numeric) -1.3849442135587027 absolute error 1.1945999744966684e-13 relative error 8.625618005415326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) -1.3820126812232416 y[1] (numeric) -1.3820126812233606 absolute error 1.1901590823981678e-13 relative error 8.6117811983081e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) -1.378942948771451 y[1] (numeric) -1.3789429487715696 absolute error 1.1857181902996672e-13 relative error 8.598747260400187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) -1.375735323173899 y[1] (numeric) -1.3757353231740168 absolute error 1.1790568521519162e-13 relative error 8.57037565504799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) -1.3723901251904713 y[1] (numeric) -1.372390125190589 absolute error 1.176836406102666e-13 relative error 8.57508651877931e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) -1.3689076893381795 y[1] (numeric) -1.3689076893382968 absolute error 1.1723955140041653e-13 relative error 8.564459993434464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) -1.3652883638577065 y[1] (numeric) -1.3652883638578237 absolute error 1.1723955140041653e-13 relative error 8.58716403830975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) -1.3615325106785843 y[1] (numeric) -1.3615325106787006 absolute error 1.163513729807164e-13 relative error 8.545618416612555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) -1.357640505383001 y[1] (numeric) -1.357640505383117 absolute error 1.1612932837579137e-13 relative error 8.553761317178025e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) -1.3536127371682425 y[1] (numeric) -1.3536127371683584 absolute error 1.1590728377086634e-13 relative error 8.562809774776821e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) -1.3494496088077743 y[1] (numeric) -1.3494496088078896 absolute error 1.1524114995609125e-13 relative error 8.539863156350513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) -1.3451515366109628 y[1] (numeric) -1.3451515366110776 absolute error 1.1479706074624119e-13 relative error 8.53413594095623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) -1.3407189503814463 y[1] (numeric) -1.3407189503815606 absolute error 1.1435297153639112e-13 relative error 8.529227658328892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) -1.3361522933741534 y[1] (numeric) -1.3361522933742673 absolute error 1.1390888232654106e-13 relative error 8.52514214819702e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) -1.3314520222509798 y[1] (numeric) -1.3314520222510935 absolute error 1.1368683772161603e-13 relative error 8.538560595628129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) -1.326618607035121 y[1] (numeric) -1.3266186070352337 absolute error 1.127986593019159e-13 relative error 8.50271952343645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) -1.3216525310640703 y[1] (numeric) -1.3216525310641827 absolute error 1.1235457009206584e-13 relative error 8.501067220868446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) -1.3165542909412868 y[1] (numeric) -1.3165542909413985 absolute error 1.1168843627729075e-13 relative error 8.483390092286867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) -1.311324396486534 y[1] (numeric) -1.3113243964866452 absolute error 1.1124434706744069e-13 relative error 8.48335830291121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) -1.3059633706848994 y[1] (numeric) -1.3059633706850098 absolute error 1.1035616864774056e-13 relative error 8.450173345203807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) -1.3004717496344955 y[1] (numeric) -1.3004717496346052 absolute error 1.0969003483296547e-13 relative error 8.434634190538505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) -1.2948500824928508 y[1] (numeric) -1.2948500824929603 absolute error 1.0946799022804043e-13 relative error 8.4541053600037e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) -1.2890989314219952 y[1] (numeric) -1.289098931422104 absolute error 1.0880185641326534e-13 relative error 8.440147901856287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) -1.283218871532243 y[1] (numeric) -1.283218871532351 absolute error 1.0791367799356522e-13 relative error 8.409608086943857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) -1.2772104908246829 y[1] (numeric) -1.2772104908247899 absolute error 1.0702549957386509e-13 relative error 8.379628913379794e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) -1.2710743901323789 y[1] (numeric) -1.2710743901324855 absolute error 1.0658141036401503e-13 relative error 8.385143402418396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) -1.264811183060287 y[1] (numeric) -1.2648111830603928 absolute error 1.056932319443149e-13 relative error 8.356443503969008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) -1.2584214959238949 y[1] (numeric) -1.2584214959239999 absolute error 1.0502709812953981e-13 relative error 8.345939613216166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) -1.2519059676865913 y[1] (numeric) -1.2519059676866962 absolute error 1.0480505352461478e-13 relative error 8.371639422590581e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) -1.2452652498957708 y[1] (numeric) -1.2452652498958752 absolute error 1.0436096431476471e-13 relative error 8.380621263100353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) -1.2385000066176781 y[1] (numeric) -1.2385000066177823 absolute error 1.0413891970983968e-13 relative error 8.40847146979363e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) -1.2316109143710037 y[1] (numeric) -1.2316109143711074 absolute error 1.0369483049998962e-13 relative error 8.419447188233764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) -1.2245986620592313 y[1] (numeric) -1.2245986620593339 absolute error 1.0258460747536446e-13 relative error 8.376998167127074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) -1.2174639509017484 y[1] (numeric) -1.2174639509018503 absolute error 1.0191847366058937e-13 relative error 8.371375069060618e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) -1.2102074943637253 y[1] (numeric) -1.2102074943638261 absolute error 1.0080825063596421e-13 relative error 8.329831959019956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) -1.2028300180847686 y[1] (numeric) -1.2028300180848688 absolute error 1.0014211682118912e-13 relative error 8.325541873376465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) -1.1953322598063587 y[1] (numeric) -1.1953322598064577 absolute error 9.903189379656396e-14 relative error 8.284884222283678e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) -1.187714969298075 y[1] (numeric) -1.1877149692981734 absolute error 9.836575998178887e-14 relative error 8.281933167847655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) -1.1799789082826206 y[1] (numeric) -1.1799789082827181 absolute error 9.747758156208874e-14 relative error 8.260959655962052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) -1.1721248503596504 y[1] (numeric) -1.172124850359747 absolute error 9.658940314238862e-14 relative error 8.240538805465261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) -1.1641535809284118 y[1] (numeric) -1.1641535809285075 absolute error 9.57012247226885e-14 relative error 8.220670046504243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) -1.1560658971092053 y[1] (numeric) -1.1560658971093 absolute error 9.481304630298837e-14 relative error 8.201353101070852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) -1.1478626076636727 y[1] (numeric) -1.1478626076637664 absolute error 9.370282327836321e-14 relative error 8.163243810954284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) -1.1395445329139229 y[1] (numeric) -1.139544532914016 absolute error 9.303668946358812e-14 relative error 8.164375044271813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) -1.131112504660499 y[1] (numeric) -1.1311125046605912 absolute error 9.214851104388799e-14 relative error 8.146714908040573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) -1.1225673660991995 y[1] (numeric) -1.1225673660992908 absolute error 9.126033262418787e-14 relative error 8.129608554478799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) -1.11390997173676 y[1] (numeric) -1.1139099717368501 absolute error 9.015010959956271e-14 relative error 8.093123491749031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) -1.105141187305402 y[1] (numeric) -1.1051411873054913 absolute error 8.926193117986259e-14 relative error 8.07697081650757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) -1.0962618896762613 y[1] (numeric) -1.0962618896763494 absolute error 8.815170815523743e-14 relative error 8.041117636705372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) -1.0872729667717016 y[1] (numeric) -1.0872729667717889 absolute error 8.72635297355373e-14 relative error 8.025908157602554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) -1.0781753174765225 y[1] (numeric) -1.0781753174766089 absolute error 8.637535131583718e-14 relative error 8.011252893267798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) -1.0689698515480723 y[1] (numeric) -1.0689698515481578 absolute error 8.548717289613705e-14 relative error 7.997154716041365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) -1.0596574895252726 y[1] (numeric) -1.0596574895253572 absolute error 8.459899447643693e-14 relative error 7.983616905717086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) -1.0502391626365652 y[1] (numeric) -1.050239162636649 absolute error 8.37108160567368e-14 relative error 7.970643167274928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) -1.0407158127067908 y[1] (numeric) -1.0407158127068734 absolute error 8.260059303211165e-14 relative error 7.936901892292414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) -1.0310883920630058 y[1] (numeric) -1.0310883920630876 absolute error 8.171241461241152e-14 relative error 7.924869995764475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) -1.021357863439252 y[1] (numeric) -1.0213578634393328 absolute error 8.08242361927114e-14 relative error 7.913410087288043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) -1.011525199880283 y[1] (numeric) -1.0115251998803625 absolute error 7.949196856316121e-14 relative error 7.858624636595244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) -1.001591384644261 y[1] (numeric) -1.0015913846443392 absolute error 7.815970093361102e-14 relative error 7.803551641108744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) -0.9915574111044312 y[1] (numeric) -0.9915574111045083 absolute error 7.716050021144838e-14 relative error 7.781748121422877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) -0.981424282649786 y[1] (numeric) -0.981424282649862 absolute error 7.605027718682322e-14 relative error 7.74897040263688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) -0.9711930125847268 y[1] (numeric) -0.9711930125848017 absolute error 7.494005416219807e-14 relative error 7.71628844020954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) -0.960864624027734 y[1] (numeric) -0.9608646240278076 absolute error 7.360778653264788e-14 relative error 7.6605782637829e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) -0.9504401498090561 y[1] (numeric) -0.9504401498091287 absolute error 7.260858581048524e-14 relative error 7.639469547353649e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) -0.9399206323674283 y[1] (numeric) -0.9399206323674997 absolute error 7.138734048339757e-14 relative error 7.595039200660002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) -0.9293071236458282 y[1] (numeric) -0.9293071236458986 absolute error 7.038813976123492e-14 relative error 7.574260217127186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) -0.9186006849862838 y[1] (numeric) -0.918600684986353 absolute error 6.927791673660977e-14 relative error 7.541679194115145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) -0.9078023870237387 y[1] (numeric) -0.9078023870238068 absolute error 6.80566714095221e-14 relative error 7.496859711136938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) -0.8969133095789906 y[1] (numeric) -0.8969133095790576 absolute error 6.694644838489694e-14 relative error 7.464093538351157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) -0.8859345415507099 y[1] (numeric) -0.8859345415507757 absolute error 6.572520305780927e-14 relative error 7.418742579193953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) -0.8748671808065507 y[1] (numeric) -0.8748671808066151 absolute error 6.439293542825908e-14 relative error 7.360309866566769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) -0.8637123340733642 y[1] (numeric) -0.8637123340734274 absolute error 6.317169010117141e-14 relative error 7.313973369263656e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) -0.8524711168265283 y[1] (numeric) -0.8524711168265903 absolute error 6.195044477408373e-14 relative error 7.267160558436868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) -0.8411446531784001 y[1] (numeric) -0.8411446531784609 absolute error 6.072919944699606e-14 relative error 7.2198282682438785e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) -0.8297340757659056 y[1] (numeric) -0.829734075765965 absolute error 5.939693181744587e-14 relative error 7.1585503780374616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) -0.8182405256372772 y[1] (numeric) -0.8182405256373355 absolute error 5.828670879282072e-14 relative error 7.123419943961439e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) -0.80666515213795 y[1] (numeric) -0.8066651521380069 absolute error 5.695444116327053e-14 relative error 7.060481168960996e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) -0.7950091127956277 y[1] (numeric) -0.7950091127956835 absolute error 5.5844218138645374e-14 relative error 7.024349436985787e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) -0.7832735732045313 y[1] (numeric) -0.7832735732045856 absolute error 5.4289905904170155e-14 relative error 6.931155060173819e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) -0.77145970690884 y[1] (numeric) -0.7714597069088932 absolute error 5.3179682879545e-14 relative error 6.893384372935113e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) -0.7595686952853391 y[1] (numeric) -0.7595686952853908 absolute error 5.1736392947532295e-14 relative error 6.8112855714909415e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) -0.7476017274252814 y[1] (numeric) -0.7476017274253317 absolute error 5.029310301551959e-14 relative error 6.72725880245456e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) -0.7355600000154805 y[1] (numeric) -0.7355600000155295 absolute error 4.8960835385969403e-14 relative error 6.6562667063106994e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) -0.7234447172186427 y[1] (numeric) -0.7234447172186903 absolute error 4.7628567756419216e-14 relative error 6.583580835247802e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) -0.7112570905529517 y[1] (numeric) -0.7112570905529979 absolute error 4.618527782440651e-14 relative error 6.4934716908763254e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) -0.6989983387709177 y[1] (numeric) -0.6989983387709625 absolute error 4.4853010194856324e-14 relative error 6.416754905844773e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) -0.6866696877375031 y[1] (numeric) -0.6866696877375466 absolute error 4.340972026284362e-14 relative error 6.321776108375136e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) -0.6742723703075378 y[1] (numeric) -0.6742723703075797 absolute error 4.18554080283684e-14 relative error 6.207492679742759e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) -0.6618076262024335 y[1] (numeric) -0.661807626202474 absolute error 4.0523140398818214e-14 relative error 6.1230996432221546e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) -0.6492767018862133 y[1] (numeric) -0.6492767018862525 absolute error 3.9190872769268026e-14 relative error 6.0360817900002646e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) -0.636680850440867 y[1] (numeric) -0.6366808504409047 absolute error 3.774758283725532e-14 relative error 5.928807629618068e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) -0.6240213314410419 y[1] (numeric) -0.6240213314410782 absolute error 3.630429290524262e-14 relative error 5.817796776498927e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) -0.6112994108280889 y[1] (numeric) -0.6112994108281237 absolute error 3.47499806707674e-14 relative error 5.6846088929962784e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) -0.5985163607834675 y[1] (numeric) -0.5985163607835009 absolute error 3.341771304121721e-14 relative error 5.5834251544056195e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) -0.5856734596015298 y[1] (numeric) -0.5856734596015618 absolute error 3.197442310920451e-14 relative error 5.459428387101355e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) -0.5727719915616916 y[1] (numeric) -0.5727719915617222 absolute error 3.064215547965432e-14 relative error 5.34979990835567e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) -0.5598132468000054 y[1] (numeric) -0.559813246800035 absolute error 2.9531932455029164e-14 relative error 5.27531862167233e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) -0.5467985211801489 y[1] (numeric) -0.546798521180177 absolute error 2.808864252301646e-14 relative error 5.136927302289163e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) -0.5337291161638382 y[1] (numeric) -0.5337291161638651 absolute error 2.6867397195928788e-14 relative error 5.033901352251005e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) -0.5206063386806841 y[1] (numeric) -0.5206063386807095 absolute error 2.5424107263916085e-14 relative error 4.883556994013102e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) -0.507431500997499 y[1] (numeric) -0.507431500997523 absolute error 2.398081733190338e-14 relative error 4.725922077120233e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) -0.4942059205870723 y[1] (numeric) -0.49420592058709484 absolute error 2.2537527399890678e-14 relative error 4.560351558135548e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) -0.4809309199964238 y[1] (numeric) -0.480930919996445 absolute error 2.120525977034049e-14 relative error 4.409211154587061e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) -0.4676078267145502 y[1] (numeric) -0.46760782671456985 absolute error 1.965094753586527e-14 relative error 4.202441963799963e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) -0.45423797303967695 y[1] (numeric) -0.4542379730396952 absolute error 1.8263168755083825e-14 relative error 4.020616909869965e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) -0.4408226959460301 y[1] (numeric) -0.440822695946047 absolute error 1.6930901125533637e-14 relative error 3.8407507783143926e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) -0.4273633369501398 y[1] (numeric) -0.4273633369501551 absolute error 1.532107773982716e-14 relative error 3.5850238930567552e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) -0.41386124197668933 y[1] (numeric) -0.41386124197670315 absolute error 1.3822276656583199e-14 relative error 3.339833561259582e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) -0.4003177612239244 y[1] (numeric) -0.4003177612239368 absolute error 1.2434497875801753e-14 relative error 3.1061569283822785e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) -0.3867342490286342 y[1] (numeric) -0.38673424902864506 absolute error 1.0880185641326534e-14 relative error 2.813349391385544e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) -0.3731120637307185 y[1] (numeric) -0.37311206373072786 absolute error 9.381384558082573e-15 relative error 2.5143610914851797e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) -0.35945256753735555 y[1] (numeric) -0.35945256753736327 absolute error 7.716050021144838e-15 relative error 2.1466114636510306e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) -0.34575712638678147 y[1] (numeric) -0.34575712638678785 absolute error 6.38378239159465e-15 relative error 1.846319831005718e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) -0.3320271098116989 y[1] (numeric) -0.33202710981170364 absolute error 4.718447854656915e-15 relative error 1.4211031916438595e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) -0.3182638908023234 y[1] (numeric) -0.3182638908023267 absolute error 3.2751579226442118e-15 relative error 1.029069906230249e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) -0.30446884566908683 y[1] (numeric) -0.3044688456690885 absolute error 1.6653345369377348e-15 relative error 5.469638554572214e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) -0.2906433539050064 y[1] (numeric) -0.2906433539050066 absolute error 2.220446049250313e-16 relative error 7.639761994957028e-14% Desired digits 8 Estimated correct digits 11 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) -0.2767887980477376 y[1] (numeric) -0.27678879804773626 absolute error 1.3322676295501878e-15 relative error 4.81330038985325e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) -0.26290656354132047 y[1] (numeric) -0.26290656354131764 absolute error 2.831068712794149e-15 relative error 1.0768345508989912e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) -0.24899803859763736 y[1] (numeric) -0.24899803859763298 absolute error 4.385380947269368e-15 relative error 1.7612110408451143e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) -0.23506461405759205 y[1] (numeric) -0.23506461405758622 absolute error 5.828670879282072e-15 relative error 2.479603704985565e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) -0.22110768325202768 y[1] (numeric) -0.2211076832520202 absolute error 7.466249840604178e-15 relative error 3.37674825713489e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) -0.20712864186239377 y[1] (numeric) -0.20712864186238483 absolute error 8.93729534823251e-15 relative error 4.314852483882946e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) -0.19312888778118031 y[1] (numeric) -0.19312888778116982 absolute error 1.049160758270773e-14 relative error 5.432438255738817e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) -0.1791098209721289 y[1] (numeric) -0.1791098209721169 absolute error 1.201816424156732e-14 relative error 6.709941518749803e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) -0.16507284333023808 y[1] (numeric) -0.16507284333022443 absolute error 1.3655743202889425e-14 relative error 8.272555877389412e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) -0.15101935854157433 y[1] (numeric) -0.15101935854155918 absolute error 1.5154544286133387e-14 relative error 1.0034835555179153e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) -0.1369507719429056 y[1] (numeric) -0.13695077194288885 absolute error 1.6764367671839864e-14 relative error 1.224116332752683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) -0.12286849038116776 y[1] (numeric) -0.12286849038114947 absolute error 1.8290924330699454e-14 relative error 1.4886586686266418e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) -0.10877392207278191 y[1] (numeric) -0.10877392207276207 absolute error 1.9845236565174673e-14 relative error 1.824448009872807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) -0.09466847646283338 y[1] (numeric) -0.09466847646281203 absolute error 2.135791543622645e-14 relative error 2.2560746971154137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) -0.08055356408412873 y[1] (numeric) -0.08055356408410583 absolute error 2.2898349882893854e-14 relative error 2.8426240531057346e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) -0.06643059641614346 y[1] (numeric) -0.06643059641611895 absolute error 2.450817326860033e-14 relative error 3.689289964382216e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) -0.052300985743875206 y[1] (numeric) -0.05230098574384912 absolute error 2.608330218478727e-14 relative error 4.987153074422082e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) -0.038166145016616526 y[1] (numeric) -0.03816614501658891 absolute error 2.761679773755077e-14 relative error 7.23594110055578e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) -0.0240274877066613 y[1] (numeric) -0.024027487706632048 absolute error 2.925090725192092e-14 relative error 1.217393495692498e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) -0.009886427667958109 y[1] (numeric) -0.009886427667927368 absolute error 3.0741034717785e-14 relative error 3.1094178554925987e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) 0.0042556210052731025 y[1] (numeric) 0.004255621005305449 absolute error 3.2346521294801533e-14 relative error 7.600893325491449e-10% Desired digits 8 Estimated correct digits 9 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) 0.01839724411995014 y[1] (numeric) 0.018397244119984075 absolute error 3.39346606370583e-14 relative error 1.8445513043042813e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) 0.032537027525546214 y[1] (numeric) 0.0325370275255817 absolute error 3.5485503424581566e-14 relative error 1.0906190922548281e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) 0.04667355725550382 y[1] (numeric) 0.04667355725554086 absolute error 3.7039815659056785e-14 relative error 7.935931571765723e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) 0.0608054196686304 y[1] (numeric) 0.06080541966866897 absolute error 3.8566372317916375e-14 relative error 6.342587967995363e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) 0.07493120159046118 y[1] (numeric) 0.07493120159050122 absolute error 4.003741782554471e-14 relative error 5.3432237807116005e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) 0.08904949045457522 y[1] (numeric) 0.0890494904546169 absolute error 4.1674996786866814e-14 relative error 4.679981499515208e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) 0.10315887444385152 y[1] (numeric) 0.10315887444389477 absolute error 4.324318680914985e-14 relative error 4.1919017672771076e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) 0.11725794263165523 y[1] (numeric) 0.11725794263169373 absolute error 3.84969833788773e-14 relative error 3.283102407809479e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) 0.13134528512291033 y[1] (numeric) 0.1313452851229441 absolute error 3.377853552422039e-14 relative error 2.5717356730857222e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) 0.14541949319510716 y[1] (numeric) 0.14541949319513628 absolute error 2.911559882079473e-14 relative error 2.002179912821644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) 0.15947915943916702 y[1] (numeric) 0.1594791594391914 absolute error 2.4369395390522186e-14 relative error 1.528061439263971e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) 0.17352287790018173 y[1] (numeric) 0.17352287790020143 absolute error 1.970645868709653e-14 relative error 1.1356691939164692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) 0.18754924421800845 y[1] (numeric) 0.18754924421802338 absolute error 1.4932499681208355e-14 relative error 7.961908747470463e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) 0.20155685576770377 y[1] (numeric) 0.20155685576771404 absolute error 1.0269562977782698e-14 relative error 5.095119656767453e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) 0.21554431179978573 y[1] (numeric) 0.21554431179979144 absolute error 5.717648576819556e-15 relative error 2.6526557481742093e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) 0.22951021358030754 y[1] (numeric) 0.22951021358030846 absolute error 9.159339953157541e-16 relative error 3.990820195003048e-13% Desired digits 8 Estimated correct digits 11 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) 0.24345316453072907 y[1] (numeric) 0.24345316453072532 absolute error 3.747002708109903e-15 relative error 1.5391061830444806e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) 0.2573717703675745 y[1] (numeric) 0.2573717703675661 absolute error 8.43769498715119e-15 relative error 3.278407330804229e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) 0.27126463924185895 y[1] (numeric) 0.27126463924184585 absolute error 1.3100631690576847e-14 relative error 4.82946532478063e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) 0.2851303818782722 y[1] (numeric) 0.28513038187825457 absolute error 1.765254609153999e-14 relative error 6.191043541293404e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) 0.2989676117141056 y[1] (numeric) 0.29896761171408326 absolute error 2.2315482794965646e-14 relative error 7.464180707408977e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) 0.31277494503790626 y[1] (numeric) 0.3127749450378794 absolute error 2.6867397195928788e-14 relative error 8.590009405220305e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) 0.3265510011278481 y[1] (numeric) 0.32655100112781665 absolute error 3.141931159689193e-14 relative error 9.621563396950343e-12% Desired digits 8 Estimated correct digits 11 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) 0.34029440238980213 y[1] (numeric) 0.340294402389766 absolute error 3.6137759451548845e-14 relative error 1.0619557417860076e-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) 0.3540037744950948 y[1] (numeric) 0.3540037744950541 absolute error 4.068967385251199e-14 relative error 1.1494135595177333e-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) 0.3676777465179401 y[1] (numeric) 0.3676777465178948 absolute error 4.529709940470639e-14 relative error 1.231978269930356e-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) 0.3813149510725307 y[1] (numeric) 0.3813149510724809 absolute error 4.979350265443827e-14 relative error 1.3058366191617528e-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) 0.3949140244497754 y[1] (numeric) 0.3949140244497211 absolute error 5.4289905904170155e-14 relative error 1.3747272201794056e-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) 0.4084736067536691 y[1] (numeric) 0.40847360675361016 absolute error 5.895284260759581e-14 relative error 1.443247290225717e-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) 0.42199234203728087 y[1] (numeric) 0.42199234203721736 absolute error 6.350475700855895e-14 relative error 1.5048793706059393e-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) 0.435468878438348 y[1] (numeric) 0.43546887843827997 absolute error 6.800116025829084e-14 relative error 1.5615618847930642e-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) 0.44890186831446083 y[1] (numeric) 0.4489018683143882 absolute error 7.260858581048524e-14 relative error 1.6174712322565365e-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) 0.4622899683778257 y[1] (numeric) 0.4622899683777487 absolute error 7.69939667577546e-14 relative error 1.6654907530856927e-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) 0.4756318398295933 y[1] (numeric) 0.47563183982951185 absolute error 8.143485885625523e-14 relative error 1.7121406103811566e-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) 0.48892614849373633 y[1] (numeric) 0.4889261484936504 absolute error 8.593126210598712e-14 relative error 1.7575509587842792e-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) 0.5021715649504671 y[1] (numeric) 0.5021715649503767 absolute error 9.037215420448774e-14 relative error 1.799627069951717e-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) 0.5153667646691777 y[1] (numeric) 0.5153667646690829 absolute error 9.481304630298837e-14 relative error 1.8397198423117253e-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) 0.5285104281408922 y[1] (numeric) 0.528510428140793 absolute error 9.9253938401489e-14 relative error 1.877993945183415e-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) 0.5416012410102164 y[1] (numeric) 0.541601241010113 absolute error 1.0347278589506459e-13 relative error 1.910497577554715e-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) 0.5546378942067726 y[1] (numeric) 0.5546378942066648 absolute error 1.078026556911027e-13 relative error 1.9436583186455194e-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) 0.5676190840761046 y[1] (numeric) 0.5676190840759924 absolute error 1.1224354778960333e-13 relative error 1.977444926332922e-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) 0.5805435125100433 y[1] (numeric) 0.5805435125099266 absolute error 1.1668443988810395e-13 relative error 2.0099172133300744e-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) 0.5934098870765157 y[1] (numeric) 0.5934098870763947 absolute error 1.2090328738167955e-13 relative error 2.0374329787007744e-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) 0.606216921148787 y[1] (numeric) 0.6062169211486618 absolute error 1.2523315717771766e-13 relative error 2.0658142788294264e-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) 0.6189633340341223 y[1] (numeric) 0.618963334033993 absolute error 1.2934098236883074e-13 relative error 2.0896388405730736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) 0.6316478511018554 y[1] (numeric) 0.6316478511017217 absolute error 1.3367085216486885e-13 relative error 2.1162242843332965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) 0.6442692039108495 y[1] (numeric) 0.6442692039107119 absolute error 1.376676550535194e-13 relative error 2.1368032837492124e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) 0.656826130336342 y[1] (numeric) 0.6568261303362001 absolute error 1.41886502547095e-13 relative error 2.160183585790641e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) 0.6693173746961538 y[1] (numeric) 0.6693173746960079 absolute error 1.4588330543574557e-13 relative error 2.1795834226172803e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) 0.6817416878762588 y[1] (numeric) 0.6817416878761087 absolute error 1.5010215292932116e-13 relative error 2.2017452592185594e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) 0.6940978274556922 y[1] (numeric) 0.6940978274555378 absolute error 1.5432100042289676e-13 relative error 2.2233321344425022e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) 0.7063845578307929 y[1] (numeric) 0.7063845578306345 absolute error 1.5842882561400984e-13 relative error 2.2428126982351137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) 0.7186006503387623 y[1] (numeric) 0.7186006503385998 absolute error 1.6253665080512292e-13 relative error 2.2618494810504275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) 0.7307448833805297 y[1] (numeric) 0.730744883380363 absolute error 1.66644475996236e-13 relative error 2.2804740722277106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) 0.742816042542911 y[1] (numeric) 0.7428160425427404 absolute error 1.7064127888488656e-13 relative error 2.297221237989471e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) 0.7548129207200494 y[1] (numeric) 0.7548129207198746 absolute error 1.7474910407599964e-13 relative error 2.3151313296187186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) 0.7667343182341242 y[1] (numeric) 0.7667343182339454 absolute error 1.787459069646502e-13 relative error 2.3312626383585155e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) 0.7785790429553188 y[1] (numeric) 0.7785790429551361 absolute error 1.8263168755083825e-13 relative error 2.3457051561214338e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) 0.7903459104210315 y[1] (numeric) 0.7903459104208448 absolute error 1.8673951274195133e-13 relative error 2.362756740810765e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) 0.8020337439543214 y[1] (numeric) 0.8020337439541307 absolute error 1.9062529332813938e-13 relative error 2.3767739794623423e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) 0.813641374781575 y[1] (numeric) 0.8136413747813805 absolute error 1.9451107391432743e-13 relative error 2.390624173537692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) 0.8251676421493828 y[1] (numeric) 0.8251676421491844 absolute error 1.9839685450051547e-13 relative error 2.4043217931296322e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) 0.8366113934406127 y[1] (numeric) 0.8366113934404107 absolute error 2.020605904817785e-13 relative error 2.4152263770971683e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) 0.8479714842896726 y[1] (numeric) 0.8479714842894667 absolute error 2.0594637106796654e-13 relative error 2.4286945361197302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) 0.859246778696944 y[1] (numeric) 0.8592467786967342 absolute error 2.0983215165415459e-13 relative error 2.442047580002186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) 0.8704361491423822 y[1] (numeric) 0.8704361491421686 absolute error 2.1360690993788012e-13 relative error 2.454021586170811e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) 0.8815384766982671 y[1] (numeric) 0.8815384766980496 absolute error 2.1749269052406817e-13 relative error 2.46719452721644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) 0.892552651141095 y[1] (numeric) 0.892552651140874 absolute error 2.2104540420286867e-13 relative error 2.4765531077664764e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) 0.9034775710626003 y[1] (numeric) 0.9034775710623755 absolute error 2.248201624865942e-13 relative error 2.4883867589781798e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) 0.9143121439798947 y[1] (numeric) 0.9143121439796661 absolute error 2.2859492077031973e-13 relative error 2.500184671891949e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) 0.9250552864447152 y[1] (numeric) 0.9250552864444831 absolute error 2.3214763444912023e-13 relative error 2.509554162339185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) 0.9357059241517681 y[1] (numeric) 0.9357059241515325 absolute error 2.355893258254582e-13 relative error 2.5177710191268007e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) 0.946262992046158 y[1] (numeric) 0.9462629920459188 absolute error 2.3925306180672123e-13 relative error 2.5283992274639295e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) 0.9567254344298932 y[1] (numeric) 0.9567254344296504 absolute error 2.4280577548552174e-13 relative error 2.537883563534696e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) 0.9670922050674539 y[1] (numeric) 0.9670922050672077 absolute error 2.461364445593972e-13 relative error 2.545118689507268e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) 0.9773622672904151 y[1] (numeric) 0.9773622672901655 absolute error 2.495781359357352e-13 relative error 2.5535888205266175e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) 0.9875345941011132 y[1] (numeric) 0.9875345941008604 absolute error 2.5279778270714814e-13 relative error 2.5598878684068084e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) 0.9976081682753438 y[1] (numeric) 0.9976081682750877 absolute error 2.561284517810236e-13 relative error 2.567425367254322e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) 1.0075819824640841 y[1] (numeric) 1.0075819824638246 absolute error 2.595701431573616e-13 relative error 2.5761689636665782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) 1.017455039294227 y[1] (numeric) 1.0174550392939643 absolute error 2.6267876762631204e-13 relative error 2.581723589560509e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) 1.0272263514683166 y[1] (numeric) 1.0272263514680506 absolute error 2.660094367001875e-13 relative error 2.5895892985996104e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) 1.0368949418632785 y[1] (numeric) 1.0368949418630093 absolute error 2.6911806116913795e-13 relative error 2.5954226441257244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) 1.04645984362813 y[1] (numeric) 1.0464598436278578 absolute error 2.722266856380884e-13 relative error 2.6014059430533375e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) 1.055920100280666 y[1] (numeric) 1.0559201002803902 absolute error 2.757793993168889e-13 relative error 2.6117449534636767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) 1.065274765803104 y[1] (numeric) 1.0652747658028252 absolute error 2.788880237858393e-13 relative error 2.6179914585284233e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) 1.0745229047366878 y[1] (numeric) 1.074522904736406 absolute error 2.8177460364986473e-13 relative error 2.622322915665662e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) 1.0836635922752307 y[1] (numeric) 1.0836635922749454 absolute error 2.8532731732866523e-13 relative error 2.6329879435148296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) 1.0926959143575958 y[1] (numeric) 1.0926959143573076 absolute error 2.8821389719269064e-13 relative error 2.6376404762356393e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) 1.101618967759102 y[1] (numeric) 1.1016189677588113 absolute error 2.90656387846866e-13 relative error 2.638447560848695e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) 1.1104318601818448 y[1] (numeric) 1.1104318601815513 absolute error 2.935429677108914e-13 relative error 2.6435027509281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) 1.1191337103439265 y[1] (numeric) 1.1191337103436299 absolute error 2.9665159217984183e-13 relative error 2.6507251942994048e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) 1.1277236480675819 y[1] (numeric) 1.1277236480672825 absolute error 2.993161274389422e-13 relative error 2.6541620187874687e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) 1.136200814366197 y[1] (numeric) 1.136200814365895 absolute error 3.019806626980426e-13 relative error 2.6578106517772162e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) 1.1445643615302064 y[1] (numeric) 1.1445643615299015 absolute error 3.04867242562068e-13 relative error 2.6636094291323275e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) 1.1528134532118628 y[1] (numeric) 1.1528134532115553 absolute error 3.0753177782116836e-13 relative error 2.6676629854062824e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) 1.160947264508873 y[1] (numeric) 1.1609472645085626 absolute error 3.1041835768519377e-13 relative error 2.6738368500873562e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) 1.1689649820468848 y[1] (numeric) 1.1689649820465722 absolute error 3.126388037344441e-13 relative error 2.6744924658650277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) 1.1768658040608262 y[1] (numeric) 1.1768658040605111 absolute error 3.1508129438861943e-13 relative error 2.6772916104913393e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) 1.1846489404750797 y[1] (numeric) 1.1846489404747622 absolute error 3.1752378504279477e-13 relative error 2.6803196642834815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) 1.1923136129824898 y[1] (numeric) 1.1923136129821694 absolute error 3.204103649068202e-13 relative error 2.6872993935323433e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) 1.1998590551221928 y[1] (numeric) 1.19985905512187 absolute error 3.228528555609955e-13 relative error 2.690756503297101e-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) 1.2072845123562628 y[1] (numeric) 1.2072845123559375 absolute error 3.2529534621517087e-13 relative error 2.6944381617245335e-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) 1.214589242145164 y[1] (numeric) 1.2145892421448363 absolute error 3.277378368693462e-13 relative error 2.6983429911704747e-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) 1.2217725140220053 y[1] (numeric) 1.2217725140216746 absolute error 3.306244167333716e-13 relative error 2.7061045566082914e-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) 1.2288336096655845 y[1] (numeric) 1.2288336096652515 absolute error 3.3306690738754696e-13 relative error 2.7104312965380886e-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) 1.2357718229722214 y[1] (numeric) 1.2357718229718864 absolute error 3.3506530883187224e-13 relative error 2.711384922387926e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 Finished! diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ; Iterations 4900 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0204081632654%