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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?.
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PostgreSQL 13.1 on x86_64-pc-linux-gnu, compiled by gcc (GCC) 8.3.1 20191121 (Red Hat 8.3.1-5), 64-bit 
10000 rows affected
t_let t_num
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W 8
D 4
H 1
K 3
G 9
Y 8
G 7
J 9
I 3
T 5
E 7
Y 4
9
R 8
I 9
V 2
M 8
I 5
X 5
D 6
B 8
E 1
D 1
K 8
U 6
P 4
I 8
J 7
A 5
D 7
M 10
L 1
L 3
P 9
Z 9
J 3
P 6
U 1
U 4
I 5
D 5
J 5
T 10
W 4
X 1
4
4
Z 7
R 8
I 9
W 10
U 4
C 6
L 1
D 4
S 2
R 1
C 10
Z 3
X 7
Y 4
Y 7
O 10
B 9
G 6
P 7
K 7
C 2
L 4
F 2
T 3
J 8
J 3
X 10
G 9
E 9
X 4
T 4
F 10
X 6
T 7
Z 2
N 7
V 1
V 5
L 2
B 3
O 6
B 9
H 6
W 3
K 1
R 3
A 4
Y 9
C 9
A 5
V 3
O 10
Z 1
U 9
R 10
C 6
L 5
B 6
R 7
U 5
Q 6
L 4
K 7
V 8
X 8
J 10
V 7
C 5
V 3
D 4
W 5
W 1
V 6
Z 6
B 10
X 7
T 4
S 9
C 4
N 10
W 7
C 2
D 10
W 10
L 5
4
D 5
T 6
D 8
P 3
U 9
S 4
X 9
M 9
I 7
Q 6
S 2
C 1
X 6
B 10
B 10
K 9
M 10
O 5
Y 6
M 4
S 2
M 9
J 3
G 10
K 7
T 8
10
M 9
I 10
J 4
M 5
S 2
E 3
B 1
Z 9
S 7
C 6
J 6
5
M 10
U 7
M 6
J 6
E 7
H 7
P 3
F 1
D 7
N 4
V 8
J 9
Z 3
Z 10
Y 8
T 2
W 6
5
M 4
U 3
X 3
Q 4
Q 6
O 8
I 2
U 5
B 9
Z 3
U 5
V 8
B 7
Q 1
C 5
O 9
L 8
U 4
B 7
Z 7
J 10
U 4
J 3
H 9
K 9
N 7
Y 3
M 7
W 4
E 5
V 1
W 9
O 5
J 1
K 3
J 2
10
W 6
Y 3
X 10
P 8
I 6
N 9
L 1
J 7
I 4
I 3
C 7
T 1
C 9
W 10
I 1
I 3
M 5
F 5
M 5
C 8
M 8
P 10
I 10
O 6
K 6
H 6
G 10
G 1
E 1
M 9
Y 5
K 2
J 3
X 1
B 7
V 9
H 3
R 4
F 5
P 4
H 6
D 2
I 7
C 6
J 6
O 9
N 7
E 8
M 4
S 3
G 8
N 8
S 3
R 5
Y 4
P 5
Y 3
O 9
D 6
M 4
N 10
C 6
Z 6
F 7
G 8
Q 4
H 9
K 6
C 7
O 5
W 8
X 2
U 6
Q 8
Z 8
D 10
Z 4
M 8
G 6
N 7
H 1
F 1
K 4
W 1
U 5
M 4
U 5
O 10
Y 10
T 4
V 10
Q 5
C 1
H 7
O 6
C 7
M 7
H 4
P 1
O 9
W 4
V 7
D 8
C 2
F 1
F 5
V 5
S 10
M 8
R 10
Y 3
J 4
L 7
W 7
S 4
W 5
T 4
P 6
W 10
T 10
P 9
S 4
S 9
Y 5
P 6
T 2
O 6
E 2
M 3
W 6
W 2
U 7
N 7
I 3
I 9
Q 9
E 6
X 4
Z 6
O 6
U 10
N 3
W 5
R 3
N 4
B 1
E 7
H 7
U 6
S 2
G 5
E 5
H 1
Q 6
D 4
W 2
I 10
A 4
P 1
A 9
F 6
H 5
S 10
X 3
E 10
N 3
B 5
X 10
B 6
A 5
W 8
2
Y 1
W 4
I 3
U 10
W 9
S 10
N 8
U 1
B 9
7
D 2
F 9
G 4
A 1
Y 7
O 3
T 2
A 4
V 6
H 8
M 6
P 6
10
H 3
R 8
V 1
M 5
F 9
Q 2
S 2
V 8
S 3
F 10
A 9
S 4
L 3
U 8
T 9
S 3
F 10
B 4
W 3
A 5
J 9
R 8
K 9
H 8
V 5
5
Y 5
B 10
6
B 9
T 2
Y 1
H 7
D 7
O 2
Z 4
F 1
T 10
M 9
N 6
U 1
X 1
B 5
V 8
F 3
L 10
Y 1
B 10
W 7
L 2
C 6
H 7
K 2
B 3
U 8
N 1
L 1
V 9
E 6
J 6
R 5
R 9
K 4
H 6
L 2
G 5
Q 4
E 7
Y 1
V 2
K 6
A 5
U 10
G 8
F 9
L 6
I 8
R 4
G 5
W 8
U 5
D 9
A 9
H 6
N 6
M 9
Y 10
G 5
H 6
Z 7
H 2
C 8
N 1
G 7
Q 1
X 8
Y 5
B 8
I 1
T 9
N 6
T 7
N 9
G 10
B 6
X 7
T 10
G 3
N 6
H 6
T 1
M 6
V 6
Z 4
X 8
J 2
D 5
Y 10
Q 2
N 9
L 7
W 5
I 8
M 5
T 1
F 7
X 10
Q 7
K 9
U 3
T 5
P 1
J 4
Z 8
E 5
A 2
L 1
A 9
E 9
U 5
I 3
P 3
G 7
S 8
S 3
S 3
K 6
V 6
S 4
P 7
G 4
Z 6
Q 3
Y 9
W 9
H 7
Y 5
I 6
Y 7
X 9
A 2
L 9
L 8
R 9
L 4
2
H 5
8
L 5
N 10
C 2
S 9
G 2
J 4
Z 6
O 5
D 3
V 1
M 6
J 4
K 4
K 8
R 2
D 8
H 8
G 8
Y 8
C 3
N 3
T 6
T 2
O 2
W 9
C 2
7
P 8
F 7
D 8
U 9
R 5
S 5
L 6
U 6
M 7
F 1
H 3
I 10
E 8
R 7
Q 3
X 3
G 8
N 7
Z 4
B 9
I 3
Z 9
L 5
B 3
V 5
C 1
M 2
J 3
J 3
Q 5
W 1
J 4
P 9
Q 1
H 3
O 7
G 2
A 7
U 2
N 4
U 7
N 10
U 8
P 5
U 6
G 8
M 1
N 8
L 8
K 5
J 10
V 7
U 2
O 8
V 3
B 1
X 2
D 6
G 8
G 9
B 2
P 5
J 1
L 1
Q 6
G 6
S 6
B 6
Z 4
N 2
Q 7
J 9
F 4
W 7
F 2
M 3
C 2
W 1
E 4
S 6
B 6
E 7
9
L 2
H 5
Z 5
U 5
X 7
R 8
I 10
E 1
A 3
X 3
A 6
J 5
J 3
G 4
I 2
U 7
G 5
M 6
G 5
I 1
T 3
P 3
O 6
J 2
B 6
S 10
L 4
O 4
T 4
D 2
B 4
P 4
Z 10
C 2
C 9
G 3
G 2
X 3
T 5
D 4
V 5
I 2
O 7
O 6
O 6
B 8
Y 2
K 10
B 3
R 9
O 4
J 10
I 8
X 6
Z 9
I 2
T 7
J 6
G 7
S 7
C 5
X 7
T 9
M 10
D 7
E 2
Q 2
T 8
J 1
X 1
C 8
S 7
N 8
G 8
I 2
T 10
C 4
P 5
V 8
H 2
T 9
O 7
L 8
E 4
V 9
I 9
4
U 3
D 4
W 8
J 6
P 1
J 10
X 8
B 10
U 8
I 3
Z 8
W 1
I 2
M 4
B 2
X 3
M 9
T 8
G 8
K 4
J 6
S 1
N 3
U 7
Z 5
V 5
V 10
M 1
N 2
N 8
D 4
M 8
E 2
R 5
K 4
W 6
O 6
M 9
G 2
X 10
H 10
J 3
D 6
L 10
G 8
R 6
O 6
L 1
Q 6
F 6
U 7
S 6
H 10
P 2
N 7
H 4
I 8
L 8
P 9
W 4
B 9
S 6
V 1
G 10
N 2
D 3
O 10
K 2
B 6
P 2
V 5
G 1
D 9
B 1
O 1
R 7
Q 2
B 4
L 4
N 2
C 4
C 5
W 8
X 9
O 6
H 7
M 5
P 9
J 5
M 7
B 1
J 4
T 8
V 7
Y 2
V 3
U 7
K 2
J 4
Q 7
O 10
U 1
Z 3
O 1
R 3
I 3
C 8
E 6
E 8
J 7
O 10
J 2
O 3
S 7
R 2
Q 6
X 9
U 2
D 1
Y 7
P 4
W 8
E 8
10
D 1
S 9
E 8
S 9
J 9
T 10
V 4
K 5
O 7
E 4
Z 7
W 5
S 7
J 5
H 2
C 2
T 8
R 10
I 3
I 9
Y 4
Z 9
V 1
F 6
Y 7
J 9
J 4
H 10
D 5
M 5
R 6
P 6
D 8
Z 8
Q 10
D 7
F 3
J 6
G 10
Y 8
M 9
A 9
R 2
Q 4
L 1
H 5
N 5
E 5
V 10
D 1
Z 4
Q 9
B 9
S 6
F 7
Q 8
Q 10
F 4
L 6
Y 10
V 9
V 9
L 4
F 9
W 8
G 2
R 1
C 7
R 7
V 9
O 6
R 2
U 9
5
S 1
T 7
I 6
F 3
A 2
J 10
F 10
E 5
T 5
R 8
S 9
L 8
D 8
O 9
X 4
O 8
E 1
C 4
L 7
B 9
S 7
V 1
S 9
Q 5
E 6
V 7
S 10
E 5
B 5
J 7
U 5
S 1
P 8
U 4
Y 2
D 10
U 1
F 5
I 8
D 9
10
V 7
Q 10
S 7
K 8
M 5
F 2
D 6
E 9
Z 9
U 8
E 2
Y 10
H 5
J 8
B 3
F 3
S 6
A 6
P 3
P 4
F 2
E 9
E 4
U 8
U 5
G 1
C 4
E 3
O 5
G 6
S 4
D 3
W 1
G 2
P 6
C 8
G 4
Z 5
S 9
Q 9
O 10
S 1
T 9
X 4
B 9
O 8
U 3
4
K 2
D 1
N 1
Z 5
W 8
T 6
A 7
L 3
P 7
I 9
E 10
E 10
Z 5
X 1
G 4
E 1
X 8
D 2
Z 1
B 4
G 10
Q 7
N 10
U 7
Z 8
G 9
L 3
3
J 6
Y 1
F 2
Q 6
P 8
W 4
A 3
T 1
Y 7
4
N 3
E 3
R 3
T 9
U 3
U 9
M 5
X 7
Z 2
J 2
B 7
Z 8
D 4
N 7
S 6
X 7
X 4
L 8
K 2
T 4
E 1
N 2
U 2
K 7
J 8
B 4
Q 1
Z 1
L 10
W 7
V 10
R 6
Y 4
Z 8
G 2
J 6
I 10
K 3
L 2
H 9
D 8
M 5
L 7
V 7
J 10
J 4
T 3
L 2
Q 9
E 6
N 10
K 8
L 10
Q 9
H 2
O 8
H 2
P 10
F 2
U 6
K 4
Z 1
R 5
Z 8
T 4
S 1
J 6
K 10
E 7
J 1
M 5
R 5
Y 6
O 9
M 7
X 7
T 4
K 10
Y 10
G 7
W 6
Y 10
V 1
G 4
X 4
N 2
G 1
A 4
X 4
Z 1
P 9
S 10
K 6
H 9
Z 4
C 7
B 6
R 7
G 5
I 7
L 1
Z 3
Y 2
R 3
D 2
B 3
V 2
R 1
C 5
Q 6
M 9
X 8
A 5
D 7
B 2
L 7
E 6
P 9
Q 4
H 8
G 5
A 7
Z 1
L 10
C 8
F 5
C 9
C 4
K 1
W 8
Q 1
S 7
J 9
M 7
C 4
E 3
C 7
H 10
U 7
R 3
R 4
D 6
L 7
Q 1
B 1
C 3
I 10
K 9
A 7
H 1
N 10
H 3
M 9
E 2
E 10
B 6
H 9
M 7
I 8
I 7
V 3
R 1
V 9
X 3
U 2
D 9
R 9
O 7
K 3
S 2
B 5
Q 9
Z 8
J 2
B 6
Z 10
G 4
O 8
R 6
W 6
B 1
Z 4
N 9
F 4
Z 9
U 8
V 9
H 10
X 8
E 3
G 5
T 10
S 8
F 3
B 1
I 8
V 6
H 1
J 2
F 10
Z 8
J 4
O 3
G 10
L 5
C 10
T 1
R 4
E 3
R 10
D 7
Y 2
Q 9
H 6
Y 7
Y 6
Z 4
I 4
U 8
S 6
K 9
Y 2
V 1
N 9
R 8
R 2
S 10
K 8
X 8
N 9
Q 7
T 2
5
Z 2
X 6
Z 8
Z 3
P 4
Z 3
Y 3
A 9
P 8
Y 2
I 4
J 5
A 8
Q 10
T 5
U 9
H 1
Y 9
R 9
L 10
V 3
S 10
W 4
Z 6
F 10
M 1
O 3
10
W 5
N 6
B 2
Q 3
V 2
M 10
F 2
M 7
L 8
M 10
S 2
O 9
X 6
G 9
Y 4
E 6
D 1
I 10
I 10
M 3
M 10
K 6
P 3
X 3
B 7
U 3
T 2
G 5
Z 3
S 3
I 3
L 5
Y 1
O 8
S 1
B 8
S 5
M 5
G 5
X 3
G 2
R 10
L 9
Z 8
S 4
N 4
N 6
R 1
B 9
H 9
N 4
1
X 3
N 7
P 6
W 1
C 4
Q 1
D 4
C 10
Y 8
S 4
M 3
S 1
H 4
Q 6
H 6
U 5
B 7
H 8
H 3
J 10
L 2
F 4
Y 5
C 5
B 2
L 8
10
X 3
L 10
G 8
P 6
B 10
F 1
T 8
U 9
I 2
Y 10
L 10
T 3
J 9
F 2
Z 1
O 4
L 4
Z 7
R 1
F 2
C 2
T 2
Y 1
A 7
O 9
T 6
H 3
Q 6
A 3
K 7
Y 4
N 3
X 2
R 8
O 10
W 9
F 7
Z 3
T 2
G 4
H 9
6
L 7
M 1
T 10
S 6
O 9
J 8
G 1
F 8
H 8
H 3
X 2
H 2
K 2
O 3
C 6
10
T 1
W 2
F 2
Q 10
J 2
E 10
U 5
G 2
C 10
T 2
I 5
K 4
X 7
L 1
F 1
O 2
P 3
Z 7
B 5
F 9
A 10
D 2
U 3
I 2
N 8
J 4
X 9
N 2
J 8
3
F 9
O 7
G 8
I 8
G 5
Z 6
K 10
X 10
G 4
T 8
Y 10
Z 2
V 1
T 3
I 9
L 9
L 8
M 6
V 2
Z 10
Z 8
H 1
Q 3
U 2
Q 3
V 2
W 1
S 8
O 4
L 2
A 5
M 3
Y 6
F 8
C 9
R 8
E 8
S 1
W 4
F 2
E 6
X 8
U 9
Z 10
K 2
U 6
M 9
R 7
L 5
H 8
N 9
K 4
I 9
F 1
J 10
P 6
N 1
V 3
N 6
S 6
S 5
D 1
P 9
P 5
N 1
S 6
T 2
V 4
K 3
H 8
H 9
W 4
S 4
Y 10
V 5
O 8
B 3
E 4
T 1
Z 9
H 3
M 10
T 4
X 9
N 9
H 2
B 9
S 9
Z 1
Q 3
O 8
F 2
P 10
T 3
A 1
E 7
F 2
U 10
O 6
I 7
P 8
K 2
H 6
M 5
B 7
Y 10
Y 8
F 1
S 1
Z 2
M 1
F 7
P 7
G 10
C 8
O 7
F 2
N 4
F 5
Y 7
Y 9
F 1
X 3
T 3
Z 2
L 8
P 4
I 5
Q 1
O 10
J 8
U 1
R 8
U 8
B 2
R 2
M 8
R 9
Q 6
S 10
I 8
N 2
T 10
X 5
I 8
H 1
A 6
O 9
R 4
X 1
O 6
O 10
J 3
K 4
R 6
O 8
G 8
S 6
C 9
Z 10
Y 9
B 8
D 2
D 6
U 3
T 3
R 9
W 6
J 5
R 8
I 9
D 5
O 6
C 1
W 5
D 5
C 4
K 2
N 6
Q 3
L 7
L 6
W 2
L 8
D 2
Q 4
S 2
M 1
C 1
T 9
N 6
J 3
O 10
Y 4
N 5
R 6
M 9
F 7
J 1
P 9
5
K 1
T 7
9
S 7
H 8
F 2
X 1
Q 4
V 9
F 10
P 5
J 1
C 6
B 3
B 2
K 7
U 4
O 10
D 7
U 2
F 7
W 8
P 8
K 5
J 4
6
Y 7
H 6
B 5
F 6
P 1
N 7
H 10
L 3
P 8
W 6
W 6
J 2
U 4
I 5
S 5
Q 7
C 1
Z 10
B 3
H 2
S 3
P 5
I 1
Z 4
W 6
L 7
U 4
L 8
B 6
C 2
J 4
F 10
T 6
B 4
T 9
Z 2
M 1
B 10
L 5
U 3
L 5
R 8
G 1
V 1
D 10 
5062 rows affected

990 rows affected
tot_cnt sm_cnt dum_cnt per_cnt
10000 5062 990 50.620001554489136
QUERY PLAN
Result (cost=377.82..377.84 rows=1 width=32) (actual time=5.846..5.848 rows=1 loops=1)
  Buffers: shared hit=141
  InitPlan 1 (returns $0)
    -> Aggregate (cost=116.44..116.45 rows=1 width=8) (actual time=1.933..1.934 rows=1 loops=1)
          Buffers: shared hit=45
          -> Seq Scan on test_1 (cost=0.00..102.15 rows=5715 width=0) (actual time=0.013..0.978 rows=10000 loops=1)
                Buffers: shared hit=45
  InitPlan 2 (returns $1)
    -> Aggregate (cost=59.51..59.52 rows=1 width=8) (actual time=0.892..0.893 rows=1 loops=1)
          Buffers: shared hit=23
          -> Seq Scan on test_2 (cost=0.00..52.21 rows=2921 width=0) (actual time=0.012..0.457 rows=5062 loops=1)
                Buffers: shared hit=23
  InitPlan 3 (returns $2)
    -> Aggregate (cost=25.88..25.89 rows=1 width=8) (actual time=0.252..0.252 rows=1 loops=1)
          Buffers: shared hit=5
          -> Seq Scan on test_3 (cost=0.00..22.70 rows=1270 width=0) (actual time=0.012..0.097 rows=990 loops=1)
                Buffers: shared hit=5
  InitPlan 4 (returns $3)
    -> Aggregate (cost=59.51..59.52 rows=1 width=8) (actual time=0.893..0.893 rows=1 loops=1)
          Buffers: shared hit=23
          -> Seq Scan on test_2 test_2_1 (cost=0.00..52.21 rows=2921 width=0) (actual time=0.011..0.463 rows=5062 loops=1)
                Buffers: shared hit=23
  InitPlan 5 (returns $4)
    -> Aggregate (cost=116.44..116.45 rows=1 width=8) (actual time=1.866..1.866 rows=1 loops=1)
          Buffers: shared hit=45
          -> Seq Scan on test_1 test_1_1 (cost=0.00..102.15 rows=5715 width=0) (actual time=0.012..1.100 rows=10000 loops=1)
                Buffers: shared hit=45
Planning Time: 0.208 ms
Execution Time: 5.895 ms