Connect Four

7×6 Connect Four, given as the columns played. An exact solver scores every column by win, draw or loss and how soon; the answer is a column. See Methodology.

Fewer puzzles than the other models, so results are noisy.

Quality is the mean oracle score of the moves played, × 100. The best move scores 100; an illegal move or no move scores 0. Protocol boardbench-0.2.

Quality vs cost

4 of 4 models
  • Anthropic
  • OpenAI
2030405060708090$0.001$0.01$0.1Claude Haiku 5.5 Medium · 13.8% · <$0.01 · Pareto frontierClaude Sonnet 5.5 Medium · 47.1% · $0.01 · Pareto frontierGPT-6 Luna high Medium · 15.7% · <$0.01 · Pareto frontierGPT-6.1 Sol Medium · 66.7% · $0.04 · Pareto frontierGPT-6.1 Sol MediumClaude Sonnet 5.5 MediumGPT-6 Luna high MediumClaude Haiku 5.5 Medium
  • Pareto frontier: nothing plotted is both cheaper and better
  • Anthropic
  • OpenAI

Horizontal axis is logarithmic.

Table

ModelQualityLegalityCostn
Sol (fewer samples)Medium66.7100.0$0.043
Sonnet 5.5 (fewer samples)Medium47.1100.0$0.013
Luna highMedium15.7100.0<$0.019
Haiku 5.5Medium13.8100.0<$0.019

Headline is the mean move score × 100. n is answers: puzzles × samples.

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