Backgammon

A money-game position with the dice rolled. GNU Backgammon rollouts score every legal play by cubeless equity; the answer is the whole play, e.g. 24/18 13/11. See Methodology.

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

7 of 7 models
  • Anthropic
  • OpenAI
  • DeepSeek
  • Z.ai
  • Meta
5060708090100$0.001$0.01$0.1Claude Haiku 5.5 High · 100.0% · <$0.01 · Pareto frontierClaude Opus 5.5 High · 66.4% · $0.05DeepSeek V4.1 Flash High · 88.6% · $0.01GLM-5.3 Flash High · 44.2% · <$0.01GPT-6 Luna High · 75.7% · <$0.01GPT-6.1 Sol High · 53.0% · $0.05Muse Spark 1.3 High · 43.7% · $0.06Claude Haiku 5.5 HighDeepSeek V4.1 Flash HighGPT-6 Luna HighClaude Opus 5.5 HighGPT-6.1 Sol HighGLM-5.3 Flash HighMuse Spark 1.3 High
  • Pareto frontier: nothing plotted is both cheaper and better
  • Anthropic
  • OpenAI
  • DeepSeek
  • Z.ai
  • Meta

Horizontal axis is logarithmic.

Table

ModelQualityLegalityCostn
Haiku 5.5High100.0100.0<$0.013
DeepSeek V4.1 FlashHigh88.6100.0$0.013
LunaHigh75.7100.0<$0.013
Opus 5.5High66.4100.0$0.053
SolHigh53.0100.0$0.053
GLM-5.3 FlashHigh44.266.7<$0.013
Muse Spark 1.3High43.7100.0$0.063

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

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