\begin{tikzpicture}
\begin{axis}[
    xmode=log,
    ymode=log,
    xlabel={Retention Time [\unit{\milli\second}]},
    ylabel={Number of Errors},
    xmin=100, xmax=100000,
    ymin=1, ymax=10000000000,
    legend pos=north west,
    legend style={font=\footnotesize, draw=none, fill=none},
    width=1.0\linewidth,
    height=5.0cm,
]

    % 0x0: Nothing because true cell
    \addplot[smooth, very thick]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  0)       
            (4096,  0)        
            (8192,  0)          
            (16384, 0)         
            (32768, 0)
            (65536, 0.0000000001)
        };
    % 0x5
    \addplot[smooth, very thick, color=blue, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  1790)        
            (2048,  508270)       
            (4096,  10539664)        
            (8192,  86748318)          
            (16384, 267299092)         
            (32768, 521344096)
            (65536, 804603263)
        };        
    % 0xa
    \addplot[smooth, very thick, color=orange, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  710)        
            (2048,  224968)       
            (4096,  13967512)        
            (8192,  92216450)          
            (16384, 259435811)         
            (32768, 522096860)
            (65536, 817555867)
        };
    % 0xf
    \addplot[smooth, very thick, color=green]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  5118)        
            (2048,  1026899)       
            (4096,  34715042)        
            (8192,  250111783)          
            (16384, 512169958)         
            (32768, 923461672)
            (65536, 1437773921)
        };    
    % rnd
    \addplot[smooth, very thick, color=red]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  1545)        
            (2048,  261376)       
            (4096,  14242561)        
            (8192,  77378754)          
            (16384, 258831947)         
            (32768, 495876582)
            (65536, 766992175)
        };            
\end{axis}
\end{tikzpicture}