\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,  0)        
            (2048,  25)       
            (4096,  2260)        
            (8192,  76097)          
            (16384, 1323568)         
            (32768, 9309334)
            (65536, 36919926)
        };        
    % 0xa
    \addplot[smooth, very thick, color=orange, dashed]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  7)       
            (4096,  1169)        
            (8192,  59420)          
            (16384, 1340669)         
            (32768, 8045026)
            (65536, 33424668)
        };
    % 0xf
    \addplot[smooth, very thick, color=green]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  54)       
            (4096,  4564)        
            (8192,  201875)          
            (16384, 3168927)         
            (32768, 24123792)
            (65536, 86392381)
        };    
    % rnd
    \addplot[smooth, very thick, color=red]
        coordinates {
            (64,    0)       
            (128,   0)       
            (256,   0)       
            (512,   0)       
            (1024,  0)        
            (2048,  6)       
            (4096,  1566)        
            (8192,  75316)          
            (16384, 994658)         
            (32768, 8113636)
            (65536, 32840439)
        };            

\end{axis}
\end{tikzpicture}