-As discussed above, we succeeded in preserving rendering accuracy as defined above for an arbitrary view.
-However this comes at a performance cost, as the size of the Rational number representation must grow accordingly. Figures \ref{memory.pdf} and \ref{time.pdf} were obtained by repeatedly clearing the document, scaling, and adding a fixed number of B\'{e}zier curves. The \texttt{mpfr-1024} number representation performs much better in terms of memory usage and performance; however as discussed in Section \ref{}, due to the fixed precision it cannot represent detail seperated by a truly arbitrary distance.
+\subsection{Performance of Static Detail at Different View Locations}
+As discussed above, we succeeded in preserving rendering accuracy as defined above for extremely large ranges of coordinates in the document.
+
+However this comes at a performance cost, as the size of the Rational number representation must grow accordingly. Figures \ref{memory.pdf} a) and b) were obtained by repeatedly resetting the document, scaling, and adding a fixed number of B\'{e}zier curves. It appears that the GMP representation increases memory usage linearly, with the speed decreasing faster than linear. The \texttt{mpfr-1024} number representation performs much better in terms of a static memory usage and speed; however as discussed in Section \ref{Precision for Fixed View}, due to the fixed precision it cannot represent detail seperated by a truly arbitrary distance.
+
+
+\begin{figure}[H]
+ \centering
+ \includegraphics[width=0.45\textwidth]{figures/memory.pdf}
+ \includegraphics[width=0.45\textwidth]{figures/time.pdf}
+ \caption{a) Memory used per Path coordinate and b) Time taken to scale} \label{memory.pdf}
+\end{figure}
+
+\subsection{Performance whilst adding Detail} \label{Performance whilst adding Detail}
+
+For a static document containing only a few imported test SVGs, the use of GMP rationals for path coordinates was not a noticable performance detriment compared to the implementations using floating point coordinates. Figure \ref{adding_things} measures the time taken for a script to scale the document to a point at which it will insert an additional copy of a test SVG (Figure \ref{turtle.pdf}).
+
+We have included the Na\"{i}ve approach discussed in Section \ref{Naive Approach} with GMP rationals (\texttt{Gmprat}) and MPFR using 1024 bits of precision (\texttt{mpfr-1024}) to illustrate its impracticality. The \texttt{Gmprat} is removed from Figure \ref{adding_things} b).