While looking at documentation for map-reduce, I found that:
NOTE:
For most aggregation operations, the Aggregation Pipeline provides better performance and more coherent interface. However, map-reduce operations provide some flexibility that is not presently available in the aggregation pipeline.
I did not understand much from it.
For one thing, Map/Reduce in MongoDB wasn't made for ad-hoc queries, there's considerable overhead to M/R. Even a very simple M/R operation on a small dataset can take in the hundreds of milliseconds because of that overhead.
I can't say much about the performance of M/R compared to the aggregation framework on large datasets in practice, but in theory, M/R operations on a large sharded database should be faster since the shards can run the operations largely in parallel.
As to the flexibility, since M/R actually runs javascript methods you have the full power of the language at your disposal. For example, let's say you wanted to group some data by the cosine of a field's value. Since there's neither a $cos operator in the aggregation framework, nor a meaningful way to build discrete buckets from continuous numbers (something like $truncate), the aggregation framework wouldn't help in that case.
So, in a nutshell, I'd say the use cases are
out parameter and merging the results)
