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PosgtreSQL GIN + BTree ordering

I have a table with simple structure (id, metadata_json, stamp), stamp is a timestamp and has Btree index on it. MetadataJson is a jsonb with GIN index.

The table has 25M rows. I am using PostgreSQL 10.

                 Table "public.metadata"
    Column     |            Type             | Modifiers
---------------+-----------------------------+-----------
 id            | uuid                        | not null
 metadata_json | jsonb                       |
 stamp         | timestamp without time zone |
Indexes:
    "metadata_pkey" PRIMARY KEY, btree (id)
    "metadata_idx" gin (metadata_json)
    "stamp_idx" btree (stamp)

The query I am executing is quite simple:

select * from metadata where metadata_json @> '{"someBool": true}'
         AND stamp >= '01-01-2016' ORDER BY stamp DESC LIMIT 100;

My idea how it should work: I have a btree on stamp, hence it should go by the index in reverse order, then it should test rows on the json restriction (it has selectivity 40%). I would expect it to return in few milliseconds.

QUERY PLAN
----------------------------------------------------------------------------------------------------------------------------------------------------------
 Limit  (cost=80598.46..80598.71 rows=100 width=381) (actual time=445064.728..445064.791 rows=100 loops=1)
   ->  Sort  (cost=80598.46..80607.46 rows=3600 width=381) (actual time=445064.724..445064.754 rows=100 loops=1)
         Sort Key: stamp DESC
         Sort Method: top-N heapsort  Memory: 109kB
         ->  Bitmap Heap Scan on metadata  (cost=66591.00..80460.87 rows=3600 width=381) (actual time=2881.164..444283.520 rows=1437024 loops=1)
               Recheck Cond: ((metadata_json @> '{"someBool": true}'::jsonb) AND (stamp >= '2016-01-01 00:00:00'::timestamp without time zone))
               Heap Blocks: exact=882439
               ->  BitmapAnd  (cost=66591.00..66591.00 rows=3600 width=0) (actual time=2599.415..2599.415 rows=0 loops=1)
                     ->  Bitmap Index Scan on metadata_idx  (cost=0.00..260.25 rows=25100 width=0) (actual time=1762.166..1762.166 rows=10041746 loops=1)
                           Index Cond: (metadata_json @> '{"someBool": true}'::jsonb)
                     ->  Bitmap Index Scan on stamp_idx  (cost=0.00..66328.69 rows=3600034 width=0) (actual time=760.136..760.136 rows=3591329 loops=1)
                           Index Cond: (stamp >= '2016-01-01 00:00:00'::timestamp without time zone)
 Planning time: 5.008 ms
 Execution time: 445072.043 ms
(14 rows)

From the plan it seems that the planner has statistics really off, but the table is analyzed, sampling was set to 1000.


Edit: after some searching I found out that postgres does not have statistics for jsonb data type... Can you please hint me how this type of query can be optimized?

Edit 2: if I disable bitmap scan, the query is extremely fast (2 millis). But I do not think its a good solution...

Edit 3: fencing (WITH CTE Statement)

Limit  (cost=1489968.48..1489968.73 rows=100 width=56) (actual time=447543.199..447543.262 rows=100 loops=1)
  CTE t
    ->  Bitmap Heap Scan on metadata  (cost=67228.70..1408830.13 rows=3600034 width=381) (actual time=1045.566..441897.315 rows=3591329 loops=1)
          Recheck Cond: (stamp >= '2016-01-01 00:00:00'::timestamp without time zone)
          Heap Blocks: exact=1229457
          ->  Bitmap Index Scan on stamp_idx  (cost=0.00..66328.69 rows=3600034 width=0) (actual time=663.960..663.960 rows=3591329 loops=1)
                Index Cond: (stamp >= '2016-01-01 00:00:00'::timestamp without time zone)
  ->  Sort  (cost=81138.35..81147.35 rows=3600 width=56) (actual time=447543.197..447543.227 rows=100 loops=1)
        Sort Key: t.stamp DESC
        Sort Method: top-N heapsort  Memory: 109kB
        ->  CTE Scan on t  (cost=0.00..81000.76 rows=3600 width=56) (actual time=1045.577..446935.261 rows=1437024 loops=1)
              Filter: (metadata_json @> '{"someBool": true}'::jsonb)
              Rows Removed by Filter: 2154305
Planning time: 0.169 ms
Execution time: 447692.843 ms

Edit 4: Fencing (Subselect in FROM)

Limit  (cost=1798933.42..1811851.02 rows=100 width=381) (actual time=198282.400..198282.400 rows=0 loops=1)
  ->  Subquery Scan on foo  (cost=1798933.42..2186461.48 rows=3000 width=381) (actual time=198282.397..198282.397 rows=0 loops=1)
        Filter: (foo.metadata_json @> '{"someBool": true}'::jsonb)
        Rows Removed by Filter: 3591329
        ->  Gather Merge  (cost=1798933.42..2148961.13 rows=3000028 width=381) (actual time=184803.964..195869.763 rows=3591329 loops=1)
              Workers Planned: 2
              Workers Launched: 2
              ->  Sort  (cost=1797933.40..1801683.43 rows=1500014 width=381) (actual time=184599.426..188532.836 rows=1197110 loops=3)
                    Sort Key: metadata.stamp DESC
                    Sort Method: external merge  Disk: 461368kB
                    ->  Parallel Bitmap Heap Scan on metadata  (cost=67228.70..1382579.88 rows=1500014 width=381) (actual time=1171.006..178501.269 rows=1197110 loops=3)
                          Recheck Cond: (stamp >= '2016-01-01 00:00:00'::timestamp without time zone)
                          Heap Blocks: exact=408005
                          ->  Bitmap Index Scan on stamp_idx  (cost=0.00..66328.69 rows=3600034 width=0) (actual time=728.401..728.401 rows=3591329 loops=1)
                                Index Cond: (stamp >= '2016-01-01 00:00:00'::timestamp without time zone)
Planning time: 6.704 ms
Execution time: 198509.456 ms

Forcibly disabled bitmap scan

set enable_bitmapscan = off;
explain analyze select * from metadata where metadata_json @> '{"someBool": true}' AND stamp >= '01-01-2015' ORDER BY stamp DESC LIMIT 100;

Limit  (cost=0.44..256064.27 rows=100 width=381) (actual time=0.065..1.814 rows=100 loops=1)
  ->  Index Scan Backward using stamp_idx on metadata  (cost=0.44..18423793.42 rows=7195 width=381) (actual time=0.064..1.777 rows=100 loops=1)
        Index Cond: (stamp >= '2015-01-01 00:00:00'::timestamp without time zone)
        Filter: (metadata_json @> '{"someBool": true}'::jsonb)
        Rows Removed by Filter: 126
Planning time: 0.180 ms
Execution time: 1.856 ms