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Lab: cost versus accuracy for reasoning strategies

Run a simulator that compares direct answers, chain of thought, voting, verifier best-of-n and adaptive sampling on 3,000 problems of varying difficulty, plot accuracy against tokens, then extend it with your own methods and apply the same method to a real model.

90 minยทVerified 2026-11Hands-on labPro+100 XP

Goal: make the accuracy-versus-cost trade-off of reasoning methods concrete, then repeat the measurement on a real model and benchmark.

You need: Python 3.9+ for the simulator; for the real-model extension, an inference engine or API with a small open model and a verifiable benchmark (for example grade-school maths with numeric answers).

Honest limits. The simulator runs as shown; its problems and error patterns are assumed (success probabilities from a Beta distribution, one tempting wrong answer). Use it to learn the shape of the trade-offs, not to predict a real model.

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