> **Hash**
> <table>
> <tr>
> <td width="25%"><img src="assets/ex_hash.png"></td>
> <td>A preparatory node for Hash Joins. It reads the inner relation and organizes its rows into a hash table based on the join key. The size of this hash table is constrained by <code>work_mem</code>; exceeding it causes the table to be partitioned into multiple 'batches'.</td>
> </tr>
> </table>
>
> ```sql
> -- Building a hash table for a Join
> EXPLAIN (ANALYZE, COSTS, BUFFERS, VERBOSE)
> SELECT * FROM animals a
> JOIN species s ON a.species_id = s.id;
> ```
>
> 
>
> <!-- literal-explain-plan
> Captured EXPLAIN provenance for the adjacent reader-facing visual plan.
> Canonical capture metadata lives in scratch/actual_operation_plans.json.
>
> Hash Join (cost=1.11..223.61 rows=10000 width=42) (actual time=0.023..1.048 rows=10000 loops=1)
> Output: a.id, a.name, a.species_id, a.created_at, s.id, s.name, s.diet_type
> Inner Unique: true
> Hash Cond: (a.species_id = s.id)
> Buffers: shared hit=75
> -> Seq Scan on public.animals a (cost=0.00..174.00 rows=10000 width=27) (actual time=0.003..0.308 rows=10000 loops=1)
> Output: a.id, a.name, a.species_id, a.created_at
> Buffers: shared hit=74
> -> Hash (cost=1.05..1.05 rows=5 width=15) (actual time=0.016..0.016 rows=5 loops=1)
> Output: s.id, s.name, s.diet_type
> Buckets: 1024 Batches: 1 Memory Usage: 9kB
> Buffers: shared hit=1
> -> Seq Scan on public.species s (cost=0.00..1.05 rows=5 width=15) (actual time=0.002..0.002 rows=5 loops=1)
> Output: s.id, s.name, s.diet_type
> Buffers: shared hit=1
> Planning:
> Buffers: shared hit=256
> Planning Time: 0.368 ms
> Execution Time: 1.252 ms
> -->
>
>
> <!--
> Raw-capture provenance — separate run.
> SQL, setup, dataset, settings, and scope: artifacts/chapter4_capture_matrix.json.
> Target: PostgreSQL 18.x companion fixture. Cache state: uncontrolled.
> Boundary: pg_wait_tracer backend execution root; client states are included when the chart shows them.
> Fidelity: exact pg_wait_tracer export. Not the adjacent EXPLAIN run; compare state shape, not durations.
> -->
>
> 
>
> <table>
> <tr>
> <td rowspan="2" width="25%"><img src="assets/ex_hash.svg"></td>
> <td><b>Performance</b></td><td>High performance for large equality joins; memory-intensive as it stores the entire inner relation in <code>work_mem</code>.</td>
> </tr>
> <tr><td><b>Cost</b></td><td><code>cpu_operator_cost * number of tuples</code></td></tr>
> </table>