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Identifying optimizer usage of indexed expressions

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Hello,

I have a Postgres database where many similar _expression_-based indexes have been added by a script. It is quite likely that some of the indexes are not actually used, and I would like to remove these unused indexes.

I can identify indexes that are used directly during query execution using pg_stat_user_indexes. However, it is possible that the optimizer might be using the statistics on the indexed expressions to guide query planning. If that is the case then I might remove an index which appears to be unused, only to then find that this results in the optimizer choosing poorer plans as it no longer has the additional statistics on the indexed expressions.

How can I identify indexes which are used by the optimizer when planning? Are there any relevant internal counters similar to pg_stat_user_indexes? Or an extension which provides this information?

If there is nothing available inside the database, I was thinking I would have to parse all of the queries executed on the database, extract the expressions, work out which columns of which tables are referenced by those expressions, and then check whether those expressions are indexed. Or (since that seems like a lot of work), I could remove all indexes which are reported as unused by pg_stat_user_indexes, but for each and every one of them create extended statistics on the relevant _expression_(s) using CREATE STATISTICS. That might result in a lot of unnecessary _expression_ statistics - are there any significant costs associated with that? The docs say "providing benefits similar to an _expression_ index without the overhead of index maintenance" [1], and don't mention any downside.

Lastly, please could someone point me at the part of the Postgres source code that handles index expressions in the optimizer?

Thank you
Tim

[1] https://www.postgresql.org/docs/14/sql-createstatistics.html

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