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I feel like reasoning is a useless metric, and we should instead focus on results, and time to achieved said results. That is a more useful metric overall.

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Reasoning level influences both of those things dramatically. So we need to have it available as a parameter for comparisons.

not a metric, it's a parameter used at inference time

Yes, but what metric defines what constitutes a given reasoning level? That's what's arbitrary here, not the label (which is also arbitrary).

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