I wrote:
> No, I see no reason to think that has much to do with it.  I'm wondering
> if your table is itself a bit bloated ...

Actually ... I notice you did not show EXPLAIN ANALYZE output for your
tests.  Now I'm wondering whether you tested the right thing at all.
I got burnt that way too.  Observe:

regression=# create index idx_gin_features on listings using gin(features) 
WHERE deleted_at IS NULL AND status = 1;
CREATE INDEX
regression=# explain analyze SELECT count(*) FROM listings
      WHERE features @@ '(1368799&1368800&1369043)'::query_int
        AND deleted_at IS NULL AND status = 1;
                                                     QUERY PLAN                 
                                    
--------------------------------------------------------------------------------------------------------------------
 Aggregate  (cost=9158.24..9158.25 rows=1 width=0) (actual 
time=153.633..153.634 rows=1 loops=1)
   ->  Seq Scan on listings  (cost=0.00..9157.22 rows=406 width=0) (actual 
time=0.048..153.493 rows=772 loops=1)
         Filter: ((deleted_at IS NULL) AND (features @@ '1368799 & 1368800 & 
1369043'::query_int) AND (status = 1))
 Total runtime: 153.713 ms
(4 rows)

regression=# set enable_seqscan TO 0;
SET
regression=# explain analyze SELECT count(*) FROM listings
      WHERE features @@ '(1368799&1368800&1369043)'::query_int
        AND deleted_at IS NULL AND status = 1;
                                                                   QUERY PLAN   
                                                                
------------------------------------------------------------------------------------------------------------------------------------------------
 Aggregate  (cost=13253.42..13253.43 rows=1 width=0) (actual 
time=331.990..331.990 rows=1 loops=1)
   ->  Bitmap Heap Scan on listings  (cost=4095.18..13252.40 rows=406 width=0) 
(actual time=164.785..331.858 rows=772 loops=1)
         Recheck Cond: ((deleted_at IS NULL) AND (status = 1))
         Filter: (features @@ '1368799 & 1368800 & 1369043'::query_int)
         ->  Bitmap Index Scan on idx_gin_features  (cost=0.00..4095.07 
rows=406215 width=0) (actual time=164.045..164.045 rows=406215 loops=1)
 Total runtime: 332.169 ms
(6 rows)

The above is "using" the index, but only as a guide to where the rows
satisfying the partial-index predicate are --- note the lack of any
index condition in the indexscan node.  That's because the query_int
query is not in fact compatible with the core-provided index opclass.
We get much better results using intarray's gin__int_ops opclass:

regression=# drop index idx_gin_features;
DROP INDEX
regression=# create index idx_gin_features on listings using gin(features 
gin__int_ops) WHERE deleted_at IS NULL AND status = 1;
CREATE INDEX
regression=# explain analyze SELECT count(*) FROM listings
      WHERE features @@ '(1368799&1368800&1369043)'::query_int
        AND deleted_at IS NULL AND status = 1;
                                                              QUERY PLAN        
                                                      
--------------------------------------------------------------------------------------------------------------------------------------
 Aggregate  (cost=1159.20..1159.21 rows=1 width=0) (actual time=23.896..23.896 
rows=1 loops=1)
   ->  Bitmap Heap Scan on listings  (cost=31.15..1158.18 rows=406 width=0) 
(actual time=22.912..23.813 rows=772 loops=1)
         Recheck Cond: ((features @@ '1368799 & 1368800 & 1369043'::query_int) 
AND (deleted_at IS NULL) AND (status = 1))
         ->  Bitmap Index Scan on idx_gin_features  (cost=0.00..31.05 rows=406 
width=0) (actual time=22.811..22.811 rows=772 loops=1)
               Index Cond: (features @@ '1368799 & 1368800 & 
1369043'::query_int)
 Total runtime: 24.036 ms
(6 rows)


                        regards, tom lane

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