Пространственный запрос к большой таблице с несколькими самостоятельными объединениями

Я работаю над запросами к большой таблице в Postgres 9.3.9. Это пространственный набор данных, и он пространственно индексируется. Скажем, мне нужно найти 3 типа объектов: A, B и C. Критерии таковы, что B и C находятся на определенном расстоянии от A, скажем, 500 метров.

Мой запрос выглядит так:

select 
  school.osm_id as school_osm_id, 
  school.name as school_name, 
  school.way as school_way, 
  restaurant.osm_id as restaurant_osm_id, 
  restaurant.name as restaurant_name, 
  restaurant.way as restaurant_way, 
  bar.osm_id as bar_osm_id, 
  bar.name as bar_name, 
  bar.way as bar_way 
from (
    select osm_id, name, amenity, way, way_geo 
    from planet_osm_point 
    where amenity = 'school') as school, 
   (select osm_id, name, amenity, way, way_geo 
    from planet_osm_point 
    where amenity = 'restaurant') as restaurant, 
   (select osm_id, name, amenity, way, way_geo 
    from planet_osm_point 
    where amenity = 'bar') as bar 
where ST_DWithin(school.way_geo, restaurant.way_geo, 500, false) 
  and ST_DWithin(school.way_geo, bar.way_geo, 500, false);

Этот запрос дает мне то, что я хочу, но это занимает очень много времени, например, 13 секунд. Мне интересно, есть ли другой способ написать запрос и сделать его более эффективным.

План запроса:

Nested Loop  (cost=74.43..28618.65 rows=1 width=177) (actual time=33.513..11235.212 rows=10591 loops=1)
   Buffers: shared hit=530967 read=8733
   ->  Nested Loop  (cost=46.52..28586.46 rows=1 width=174) (actual time=31.998..9595.212 rows=4235 loops=1)
         Buffers: shared hit=389863 read=8707
         ->  Bitmap Heap Scan on planet_osm_point  (cost=18.61..2897.83 rows=798 width=115) (actual time=7.862..150.607 rows=8811 loops=1)
               Recheck Cond: (amenity = 'school'::text)
               Buffers: shared hit=859 read=5204
               ->  Bitmap Index Scan on idx_planet_osm_point_amenity  (cost=0.00..18.41 rows=798 width=0) (actual time=5.416..5.416 rows=8811 loops=1)
                     Index Cond: (amenity = 'school'::text)
                     Buffers: shared hit=3 read=24
         ->  Bitmap Heap Scan on planet_osm_point planet_osm_point_1  (cost=27.91..32.18 rows=1 width=115) (actual time=1.064..1.069 rows=0 loops=8811)
               Recheck Cond: ((way_geo && _st_expand(planet_osm_point.way_geo, 500::double precision)) AND (amenity = 'restaurant'::text))
               Filter: ((planet_osm_point.way_geo && _st_expand(way_geo, 500::double precision)) AND _st_dwithin(planet_osm_point.way_geo, way_geo, 500::double precision, false))
               Rows Removed by Filter: 0
               Buffers: shared hit=389004 read=3503
               ->  BitmapAnd  (cost=27.91..27.91 rows=1 width=0) (actual time=1.058..1.058 rows=0 loops=8811)
                     Buffers: shared hit=384528 read=2841
                     ->  Bitmap Index Scan on idx_planet_osm_point_waygeo  (cost=0.00..9.05 rows=137 width=0) (actual time=0.193..0.193 rows=64 loops=8811)
                           Index Cond: (way_geo && _st_expand(planet_osm_point.way_geo, 500::double precision))
                           Buffers: shared hit=146631 read=2841
                     ->  Bitmap Index Scan on idx_planet_osm_point_amenity  (cost=0.00..18.41 rows=798 width=0) (actual time=0.843..0.843 rows=6291 loops=8811)
                           Index Cond: (amenity = 'restaurant'::text)
                           Buffers: shared hit=237897
   ->  Bitmap Heap Scan on planet_osm_point planet_osm_point_2  (cost=27.91..32.18 rows=1 width=115) (actual time=0.375..0.383 rows=3 loops=4235)
         Recheck Cond: ((way_geo && _st_expand(planet_osm_point.way_geo, 500::double precision)) AND (amenity = 'bar'::text))
         Filter: ((planet_osm_point.way_geo && _st_expand(way_geo, 500::double precision)) AND _st_dwithin(planet_osm_point.way_geo, way_geo, 500::double precision, false))
         Rows Removed by Filter: 1
         Buffers: shared hit=141104 read=26
         ->  BitmapAnd  (cost=27.91..27.91 rows=1 width=0) (actual time=0.368..0.368 rows=0 loops=4235)
               Buffers: shared hit=127019
               ->  Bitmap Index Scan on idx_planet_osm_point_waygeo  (cost=0.00..9.05 rows=137 width=0) (actual time=0.252..0.252 rows=363 loops=4235)
                     Index Cond: (way_geo && _st_expand(planet_osm_point.way_geo, 500::double precision))
                     Buffers: shared hit=101609
               ->  Bitmap Index Scan on idx_planet_osm_point_amenity  (cost=0.00..18.41 rows=798 width=0) (actual time=0.104..0.104 rows=779 loops=4235)
                     Index Cond: (amenity = 'bar'::text)
                     Buffers: shared hit=25410
 Total runtime: 11238.605 ms

Я сейчас использую только одну таблицу с1 372 711 строк, Она имеет73 колонны:

       Column       |         Type         |       Modifiers
--------------------+----------------------+---------------------------
 osm_id             | bigint               | 
 access             | text                 | 
 addr:housename     | text                 | 
 addr:housenumber   | text                 | 
 addr:interpolation | text                 | 
 admin_level        | text                 | 
 aerialway          | text                 | 
 aeroway            | text                 | 
 amenity            | text                 | 
 area               | text                 | 
 barrier            | text                 | 
 bicycle            | text                 | 
 brand              | text                 | 
 bridge             | text                 | 
 boundary           | text                 | 
 building           | text                 | 
 capital            | text                 | 
 construction       | text                 | 
 covered            | text                 | 
 culvert            | text                 | 
 cutting            | text                 | 
 denomination       | text                 | 
 disused            | text                 | 
 ele                | text                 | 
 embankment         | text                 | 
 foot               | text                 | 
 generator:source   | text                 | 
 harbour            | text                 | 
 highway            | text                 | 
 historic           | text                 | 
 horse              | text                 | 
 intermittent       | text                 | 
 junction           | text                 | 
 landuse            | text                 | 
 layer              | text                 | 
 leisure            | text                 | 
 lock               | text                 | 
 man_made           | text                 | 
 military           | text                 | 
 motorcar           | text                 | 
 name               | text                 | 
 natural            | text                 | 
 office             | text                 | 
 oneway             | text                 | 
 operator           | text                 | 
 place              | text                 | 
 poi                | text                 | 
 population         | text                 | 
 power              | text                 | 
 power_source       | text                 | 
 public_transport   | text                 | 
 railway            | text                 | 
 ref                | text                 | 
 religion           | text                 | 
 route              | text                 | 
 service            | text                 | 
 shop               | text                 | 
 sport              | text                 | 
 surface            | text                 | 
 toll               | text                 | 
 tourism            | text                 | 
 tower:type         | text                 | 
 tunnel             | text                 | 
 water              | text                 | 
 waterway           | text                 | 
 wetland            | text                 | 
 width              | text                 | 
 wood               | text                 | 
 z_order            | integer              | 
 tags               | hstore               | 
 way                | geometry(Point,4326) | 
 way_geo            | geography            | 
 gid                | integer              | not null default nextval('...
Indexes:
    "planet_osm_point_pkey1" PRIMARY KEY, btree (gid)
    "idx_planet_osm_point_amenity" btree (amenity)
    "idx_planet_osm_point_waygeo" gist (way_geo)
    "planet_osm_point_index" gist (way)
    "planet_osm_point_pkey" btree (osm_id)

Есть 8811, 6291, 779 рядов в школе, ресторане и баре соответственно.

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