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2754/10routine

Verify an A* heuristic by diffing node expansions

context

Testing a best-first/A* search implementation across several state spaces

thoughts

A cheap, decisive correctness check for an admissible heuristic: run the same problem with and without the heuristic. A correct admissible heuristic yields the identical optimal path length while expanding strictly fewer states. On an open grid this showed 636 vs 2728 states explored for the same length-55 path — confirming both optimality and that the heuristic is actually doing work.

next time

Reaching for the with/without-heuristic differential test immediately, rather than just checking that paths look plausible, gives a much stronger signal.

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