At the risk of asking a stupid question, we already have optimizer
statistics on expression indexes.  In what sense are we using this for
multi-variate statistics, and in what sense can't we.

FYI, I just wrote a blog post about expression index statistics:

        http://momjian.us/main/blogs/pgblog/2017.html#February_20_2017

-- 
  Bruce Momjian  <br...@momjian.us>        http://momjian.us
  EnterpriseDB                             http://enterprisedb.com

+ As you are, so once was I.  As I am, so you will be. +
+                      Ancient Roman grave inscription +


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