Here is an example. You have record on one page and an index. Consider the query:
select t.*
from table t
where col = x;
And, assume you have an index on col
. With one record, the fastest way is to simply read the record and check the where
clause. You could have 200 records on the page, so the selectivity of the query might be less than 1%.
One of the key considerations that a SQL optimizer makes in choosing an algorithm is the number of expected page reads. So, if you have a query like the above, the engine might think "I have to read all pages in the table anyway, so let me just do a full table scan and ignore the index." Note that this will be true when the data is on a single page.
This generalizes to other operations as well. If all the records in your data fit on one data page, then "slow" algorithms are often the best or close enough to the best. So, nested loop joins might be better than using indexes, hash-based, or sort-merge based joins. Similarly, a sort-based aggregation might be better than other methods.
Alas, I am not as familiar with the Postgres query optimizer as I am with SQL Server and Oracle. I have definitely encountered changes in execution plans in those databases as data grew.