Hello!
It seems to me there is a situation where index-only scan is possible
but not performed.
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[ACTIONS]
> create table t as select a, a % 2 b, a % 2 c from generate_series(1,
1000000) a order by random();
SELECT 1000000
> create index t_i1 on t (a, c) where b = 1;
CREATE INDEX
> analyze t;
ANALYZE
> EXPLAIN select a from t where a < 10000 and b = 1 order by a;
QUERY PLAN
---------------------------------------------------------------------
Index Scan using t_i1 on t (cost=0.42..14013.07 rows=5094 width=4)
Index Cond: (a < 10000)
(2 rows)
> create index t_i2 on t (a, b) where b = 1;
CREATE INDEX
> EXPLAIN select a from t where a < 10000 and b = 1 order by a;
QUERY PLAN
--------------------------------------------------------------------------
Index Only Scan using t_i2 on t (cost=0.42..14009.07 rows=5094 width=4)
Index Cond: ((a < 10000) AND (b = 1))
(2 rows)
[EXPECTED]
in both cases index-only scan is performed
[RECEIVED]
in the first case index scan is performed, though index-only scan is
possible, as no conditions rechecking is required
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adding (b=1) expression to index as a column does not help
Regards, Alexey