Discussion
What is the trade between search and inference?
Answer: C
Every propagation step costs time at every node of the search tree, and pays only if it removes more work than it consumes, so the right level depends on how constrained the problem is. Tightly constrained problems reward strong propagation and loosely constrained ones do not. The two are combined in every practical solver, and inference alone rarely suffices. Recognising the trade as a genuine one, rather than assuming more inference is better, is what allows a solver to be tuned to a problem class.
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