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7
main.tex
7
main.tex
@@ -505,6 +505,13 @@ Chunked $\sqrt{n}$ & 54.10 $\pm$ 2.71s & 2.41 MB & 122 & 18.3× \\
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The 18.3× slowdown aligns more closely with theoretical predictions than our simulated results, demonstrating that real models exhibit the expected space-time tradeoffs when processing is dominated by model inference rather than memory bandwidth.
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\begin{figure}[htbp]
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\centering
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\includegraphics[width=0.75\textwidth]{figures/ollama_sqrt_validation.png}
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\caption{Validation that our Ollama context chunking follows the theoretical $\sqrt{n}$ pattern. For 14,750 characters of input, we use 122 chunks of 121 characters each, precisely following $\sqrt{n}$ chunking.}
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\label{fig:ollama_sqrt}
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\end{figure}
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\begin{figure}[htbp]
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\centering
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\includegraphics[width=0.95\textwidth]{figures/ollama_spacetime_results.png}
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