To judge whether the extraction method is credible, the most direct approach is to run a comparison on open-source models whose native chains of thought can be directly observed. The results show that the tool-extracted reasoning not only far exceeds the no-reasoning baseline, but on DeepSeek-V4-Flash even slightly exceeds native reasoning, and on GLM-5.2 also approaches native reasoning.
Text similarity offers another angle. The research team performed multiple rollouts for each question, comparing the similarity "between native chains of thought" and "between native chains of thought and tool-extracted chains of thought." On DeepSeek-V4-Flash, the ROUGE-L of the two were 0.198 and 0.188 respectively, and the 5-gram Jaccard was likewise both 0.017.
In other words, the difference between the tool-extracted chain of thought and the native chain of thought is already close to the range of fluctuation in the model's own multiple generations of native chains of thought. However, the paper also leaves an unresolved question: whether this difference falls entirely within the model's own fluctuation range still requires more verification.
On closed-source models, the research team tested across multiple benchmarks in mathematics, code, and science. The tool extraction method performed close to native reasoning, in some settings even slightly higher, while significantly outperforming the no-reasoning baseline.