Discussion
When does one heuristic dominate another?
Answer: A
If h2 is never smaller than h1 and both are admissible, h2 dominates and A star using it expands no more nodes, since every node h1 prunes is pruned by h2 as well. Dominance is therefore the natural ordering on heuristic quality. Computation speed matters practically and may outweigh dominance, exact values at particular states are incidental, and both produce optimal paths. An ordering that guarantees no loss of performance is a strong basis for choosing between alternatives.
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