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\documentclass[border=10pt,varwidth]{standalone}
\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{times}
\usepackage{geometry}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathrsfs}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{lipsum}
\usepackage{amscd}
\usepackage{graphicx}
\usepackage{fancyhdr}
\usepackage{textcomp}
\usepackage{pgfplots}
\usepackage{txfonts}
\usepackage[all]{xy}
\usepackage{paralist}
\usepackage[colorlinks=true]{hyperref}
\usepackage{array}
\usepackage{tikz}
\usepackage{slashed}
\usepackage{pdfpages}
\usepackage{cite}
\usepackage{url}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{tikz}
\usepackage{pgfplotstable}
\usetikzlibrary{arrows,matrix,positioning}
\usetikzlibrary{overlay-beamer-styles}
\usetikzlibrary{matrix.skeleton}
\usetikzlibrary{automata,positioning}
\usetikzlibrary{decorations.text}
\usepackage{listings}
\usepackage{multirow}
\usepackage{color}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xmode=log, ymode=log,
xmin=30, xmax=1050,
ymin=0.01, ymax=900,
grid=both,
major grid style={black!50},
xlabel = data input ($n$),
ylabel = {time ($s$)},
legend pos=north west,
very thick,
scale only axis=true,
width=12cm, height=8cm,
log basis x={10}
]
\addlegendentry{Winograd}
\addplot[ color=purple,
] coordinates {
% (2, 2.7895e-05 )
% (4, 0.000104904)
% (8, 0.000552893)
% (16, 0.0045557 )
(32, 0.0187144 )
(64, 0.153069 )
(128, 1.19476 )
(256, 8.29899 )
(512, 68.3699 )
(1024,537.374 )
};
\addlegendentry{Strassen}
\addplot [ color=black,
]coordinates {
% (2,2.09808e-05 )
% (4,0.000174284 )
% (8,0.000943899 )
% (16,0.00475407 )
(32,0.0485256 )
(64,0.220414 )
(128,1.44718 2 )
(256,9.93866 0 )
(512,63.961 2 )
(1024,461.494 2 )
};
\addlegendentry{MM div and conq}
\addplot[ color=green,
] coordinates {
% (2,8.10623e-06 )
% (4,9.01222e-05 )
% (8,0.000729084 )
% (16,0.00497079 )
(32,0.02719 )
(64,0.26528 )
(128,1.77787 )
(256,13.27 )
(512,105.397 )
(1024,847.321 )
};
\addlegendentry{MM}
\addplot [ color=red,
]coordinates {
% (2,1.85966e-05)
% (4,8.29697e-05 )
% (8,0.000547171)
% (16,0.00305367 )
(32, 0.0240743 )
(64, 0.186895 )
(128, 1.56369 )
(256, 11.0062 )
(512, 85.4768)
(1024,750.757 )
};
% \addlegendentry{NumPy}
% \addplot[ color=blue,
% ] coordinates {
% (2,1.83582e-05 )
% (4,7.86781e-06)
% (8,1.00136e-05)
% (16,5.4121e-05 )
% (32,4.26769e-05)
% (64,0.000118494)
% (128,0.000244141 )
% (256,0.000695705 )
% (512,0.00221705 )
% (1024,0.0188088 )
% };
\end{axis}
\end{tikzpicture}
\end{document}
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