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%% ConTeXt file

\usemodule[pgfplots]
\pgfplotsset{compat=newest}% <-- moves axis labels near ticklabels (respects tick label widths)

\starttext
Using Con{\TeX}t.

\starttikzpicture
	\startloglogaxis
	\addplot coordinates {
		(1,1)
		(16,16)
		(32,64)
	};
	\stoploglogaxis
\stoptikzpicture

\starttikzpicture
	\startloglogaxis[
		xlabel=Cost,
		ylabel=Error]
	\addplot coordinates {
		(5,     8.31160034e-02)
		(17,    2.54685628e-02)
		(49,    7.40715288e-03)
		(129,   2.10192154e-03)
		(321,   5.87352989e-04)
		(769,   1.62269942e-04)
		(1793, 4.44248889e-05)
		(4097, 1.20714122e-05)
		(9217, 3.26101452e-06)
	};
	\addplot coordinates {
		(7,     8.47178381e-02)
		(31,    3.04409349e-02)
		(111,   1.02214539e-02)
		(351,   3.30346265e-03)
		(1023,  1.03886535e-03)
		(2815,  3.19646457e-04)
		(7423,  9.65789766e-05)
		(18943, 2.87339125e-05)
		(47103, 8.43749881e-06)
	};
	\legend{Case 1,Case 2}
	\stoploglogaxis
\stoptikzpicture
\stoptext