> check if overtaking the leading move is mathematically impossible?

Yes. Pebbles does this.

Please note that the discussion has veered into time control policy,
which is not the subject of the original post.

The original post discusses move selection policy: when your program
stops, for whatever reason, which move should it select? Pebbles' policy
is to select the move that has the most wins, rather than the most trials.

Pebbles policy is a risk-free improvement over the standard policy
of selecting the move that has the most trials.

Brian

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