ZeroGuess Benchmark: Direct Comparison with lmfit for double_gaussian

Summary for double_gaussian

Method	Fit Success	Parameter Success
Standard lmfit (least_squares)	100.0%	44.0%
True + lmfit (dual_annealing)	100.0%	64.0%
ZeroGuess + lmfit (dual_annealing)	100.0%	68.0%
ZeroGuess + lmfit (least_squares)	100.0%	70.0%
Standard lmfit (dual_annealing)	100.0%	72.0%
True + lmfit (least_squares)	100.0%	72.0%

Method	Estimation Time (s)	Fitting Time (s)	Function Evaluations
Standard lmfit (least_squares)	0.0005	0.0212	180.4
True + lmfit (dual_annealing)	0.0005	1.1607	12445.6
ZeroGuess + lmfit (dual_annealing)	0.0012	1.1433	12437.4
ZeroGuess + lmfit (least_squares)	0.0012	0.0121	93.2
Standard lmfit (dual_annealing)	0.0005	1.1580	12404.3
True + lmfit (least_squares)	0.0005	0.0072	46.3

Method	amplitude1	center1	width1	amplitude2	center2	width2
Standard lmfit (least_squares)	27.3%	17.0%	14.8%	162.9%	37.6%	26.2%
True + lmfit (dual_annealing)	16.7%	20.6%	18.7%	40.3%	66.0%	7.1%
ZeroGuess + lmfit (dual_annealing)	14.6%	8.6%	4.6%	31.3%	14.3%	6.0%
ZeroGuess + lmfit (least_squares)	11.5%	6.9%	4.4%	114.6%	55.3%	5.9%
Standard lmfit (dual_annealing)	12.3%	10.6%	4.4%	15.1%	56.9%	4.6%
True + lmfit (least_squares)	6.5%	4.6%	1.6%	6.9%	6.2%	2.3%