Kalah

Kalah(6,4), the common mancala. An exact solver scores every house by the final store difference; the answer is a house number. 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
4050607080$0.001$0.01$0.1$1Claude Haiku 5.5 High · 66.7% · <$0.01 · Pareto frontierClaude Opus 5.5 High · 33.3% · $0.06DeepSeek V4.1 Flash High · 66.7% · $0.03GLM-5.3 Flash High · 33.3% · $0.01GPT-6 Luna High · 33.3% · <$0.01GPT-6.1 Sol High · 66.7% · $0.19Muse Spark 1.3 High · 66.7% · $0.06Claude Haiku 5.5 HighDeepSeek V4.1 Flash HighMuse Spark 1.3 HighGPT-6.1 Sol HighGPT-6 Luna HighGLM-5.3 Flash HighClaude Opus 5.5 High
  • Pareto frontier: nothing plotted is both cheaper and better
  • Anthropic
  • OpenAI
  • DeepSeek
  • Z.ai
  • Meta

Horizontal axis is logarithmic.

Table

ModelQualityLegalityCostn
Haiku 5.5High66.7100.0<$0.013
DeepSeek V4.1 FlashHigh66.7100.0$0.033
SolHigh66.7100.0$0.193
Muse Spark 1.3High66.7100.0$0.063
Opus 5.5High33.3100.0$0.063
GLM-5.3 FlashHigh33.3100.0$0.013
LunaHigh33.3100.0<$0.013

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

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