Why does Postgresql do Seq Scan when everything is in index instead of index-only-scan?

Question

Please have a look at a simple example:

=> create table t1 ( a int, b int, c int );
CREATE TABLE

=> insert into t1 select a, a, a from generate_series(1,100) a;
INSERT 0 100

=> create index i1 on t1(b);
CREATE INDEX

=> vacuum t1;
VACUUM

=> explain analyze select b from t1 where b = 10;
                                         QUERY PLAN
--------------------------------------------------------------------------------------------
 Seq Scan on t1  (cost=0.00..2.25 rows=1 width=4) (actual time=0.016..0.035 rows=1 loops=1)
   Filter: (b = 10)
   Rows Removed by Filter: 99
 Planning Time: 0.082 ms
 Execution Time: 0.051 ms
(5 rows)

You can see that I select b and query on b only. And also vacuum t1; manually to make sure the Visibility information is stored in the index.

But why does Postgresql still do Seq Scan instead of index-only-scan? Thanks a lot.

Edited:

After adding more rows, it will do index-only-scan:

=> insert into t1 select a, a, a from generate_series(1,2000) a;

=> vacuum t1;

=> explain analyze select b from t1 where b = 10;
                                                 QUERY PLAN
-------------------------------------------------------------------------------------------------------------
 Index Only Scan using i1 on t1  (cost=0.28..4.45 rows=10 width=4) (actual time=0.038..0.039 rows=1 loops=1)
   Index Cond: (b = 10)
   Heap Fetches: 0
 Planning Time: 0.186 ms
 Execution Time: 0.058 ms
(5 rows)

It seems like PostgreSQL doesn't like index-only-scan when the rows number is small.

Answer 1

Since nobody want to provide a detail explanation, I will write a simple answer here.

From @a_horse_with_no_name:

100 rows will fit on a single data block, so doing a seq scan will only require a single I/O operation and the index only scan would require the same. Use explain (analyze, buffers) to see more details on the blocks (=buffers) needed by the query

From https://www.postgresql.org/docs/current/indexes-examine.html :

It is especially fatal to use very small test data sets. While selecting 1000 out of 100000 rows could be a candidate for an index, selecting 1 out of 100 rows will hardly be, because the 100 rows probably fit within a single disk page, and there is no plan that can beat sequentially fetching 1 disk page.