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lang-mma
1## &(forTimes) from @Mr.Wizard somewhere on this site. $\endgroup$binmis given as aSparseArraythen I get almost an order of magnitude speed up forcountZ. $\endgroup$SparseArray? But thinking of it, I recalled that the constructor for sparse arrays has to count the nonzero values. So if you don't count in the construction time, thenTimes @@ Dimensions[binm] - Length[binm["NonzeroValues"]returns the result for arbitrary largeSparseArraysthat fit into memory. $\endgroup$1 ## & @@in the code is really cool +1! $\endgroup$binarymcould be constructed as aSparseArrayfrom the outset with no additional cost then it could be well worth it. OP didn't mention how the array was built, so that may not be possible (which is why my comment is "tangential"). I forgot aboutNonzeroValues, though, which would be a pretty awesome way to do this, if the OP could get it as aSparseArray. $\endgroup$