I'm wondering if the filter aggregation will work for you:

http://www.elasticsearch.org/guide/en/elasticsearch/reference/current/search-aggregations-bucket-filter-aggregation.html

However, it does not support parent child, but if you have the children 
embedded directly inside the parent document, I think it should be similar 
in functionality to your _msearch solution.

BTW, if you are only doing aggregations or counts and don't really need 
search hits returned, you can further optimize by using the count search 
type:

_search?search_type=count

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