Why don't use index on x when ORDER BY x, y?

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Hello,

I wonder why Postgres does not use index in the query below? It is a quite common use-case when you want to sort records by an arbitrary set of columns but do not want to create a lot of compound indexes for all possible combinations of them. It seems that if, for instance, your query's ORDER BY is x, y, z then any of these indexes could be used to improve the performance: (x); (x, y); (x, y, z).

create temp table t as
select s as x, s % 10 as y, s % 100 as z
from generate_series(1, 1000000) s;

analyze t;
create index idx1 on t (y);

select *
from t
order by y desc, x
limit 10;


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