\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,  346)        
            (2048,  15498)       
            (4096,  688860)        
            (8192,  6523457)          
            (16384, 30308736)         
            (32768, 78350419)
            (65536, 154082004)
        };        
    % 0xa
    \addplot[smooth, very thick, color=orange, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   3)       
            (1024,  223)        
            (2048,  22148)       
            (4096,  420890)        
            (8192,  5399362)          
            (16384, 26283622)         
            (32768, 74243834)
            (65536, 150082985)
        };
    % 0xf
    \addplot[smooth, very thick, color=green]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   6)       
            (1024,  624)        
            (2048,  68203)       
            (4096,  2063703)        
            (8192,  15989005)          
            (16384, 66966873)         
            (32768, 169382394)
            (65536, 299761019)
        };    
    % rnd
    \addplot[smooth, very thick, color=red]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  372)        
            (2048,  15920)       
            (4096,  415855)        
            (8192,  6205711)          
            (16384, 24085187)         
            (32768, 73166081)
            (65536, 146151486)
        };            

\end{axis}
\end{tikzpicture}