figure formatting issue resolved

main.tex

@@ -505,6 +505,13 @@ Chunked $\sqrt{n}$ & 54.10 $\pm$ 2.71s & 2.41 MB & 122 & 18.3× \\
 
 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.
 
+\begin{figure}[htbp]
+\centering
+\includegraphics[width=0.95\textwidth]{figures/ollama_spacetime_results.png}
+\caption{Real LLM experiments with Ollama showing (a) 18.3× slowdown for √n context chunking and (b) minimal 7.6\% overhead for checkpointing. These results with production models validate the theoretical space-time tradeoffs.}
+\label{fig:ollama_results}
+\end{figure}
+
 \begin{figure}[htbp]
 \centering
 \includegraphics[width=0.95\textwidth]{figures/llm_attention_tradeoff.png}