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Help with an interesting Postgres question: Why isn't an Index Only Scan used on a partition accessed via the parent table?.
version
PostgreSQL 12.9 on x86_64-pc-linux-gnu, compiled by gcc (GCC) 8.5.0 20210514 (Red Hat 8.5.0-4), 64-bit
1 rows affected
QUERY PLAN
ProjectSet (cost=0.00..6350051.28 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.079 ms
Execution Time: 948.344 ms
QUERY PLAN
ProjectSet (cost=128.56..5128.59 rows=1000000 width=36) (actual rows=1000000 loops=1)
  InitPlan 1 (returns $0)
    -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
  InitPlan 2 (returns $1)
    -> Seq Scan on test test_1 (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
  -> Aggregate (cost=83.16..83.17 rows=1 width=32) (actual rows=1 loops=1)
        -> Nested Loop (cost=0.01..73.63 rows=3810 width=40) (actual rows=4 loops=1)
              -> Function Scan on unnest x (cost=0.01..0.13 rows=3 width=40) (actual rows=4 loops=1)
                    Filter: (num > 1)
                    Rows Removed by Filter: 1
              -> Materialize (cost=0.00..29.05 rows=1270 width=0) (actual rows=1 loops=4)
                    -> Seq Scan on test t (cost=0.00..22.70 rows=1270 width=0) (actual rows=1 loops=1)
Planning Time: 0.604 ms
Execution Time: 1302.000 ms
QUERY PLAN
ProjectSet (cost=0.00..6350041.75 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.078 ms
Execution Time: 1434.311 ms
QUERY PLAN
ProjectSet (cost=0.00..6350079.85 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.093 ms
Execution Time: 1999.928 ms
QUERY PLAN
ProjectSet (cost=0.00..6350070.33 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.086 ms
Execution Time: 2255.108 ms
QUERY PLAN
ProjectSet (cost=0.00..6350070.33 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.086 ms
Execution Time: 2281.977 ms
QUERY PLAN
ProjectSet (cost=0.00..6350035.40 rows=1270000000 width=36) (actual rows=1000000 loops=1)
  -> Seq Scan on test (cost=0.00..22.70 rows=1270 width=32) (actual rows=1 loops=1)
Planning Time: 0.073 ms
Execution Time: 3400.580 ms