Group by, count, order by and limit

My 3rd attempt to post ...

Consider this query on a large table with lots of different IDs:

SELECT id FROM my_table GROUP BY id ORDER BY count(id) LIMIT 10;

It has an index on id. Obviously, the index helps to evaluate count(id)
for a given value of id, but count()s for all the `id's should be
evaluated, so sort() will take most of the time.

Is there a way to improve performance of this query? If not, please
give some indication to do a workaround on the source itself, so perhaps
I may be able to come out with a patch.

Thanks in advance.

Anuradha

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