WITH Queries (Common Table Expressions)
WITH provides a way to write auxiliary statements for use in a larger query. These statements, which are often referred to as Common Table Expressions or CTEs, can be thought of as defining temporary tables that exist just for one query. Each auxiliary statement in a
WITH clause can be a
DELETE; and the
WITH clause itself is attached to a primary statement that can be a
The basic value of
WITH is to break down complicated queries into simpler parts. An example is:
WITH regional_sales AS ( SELECT region, SUM(amount) AS total_sales FROM orders GROUP BY region ), top_regions AS ( SELECT region FROM regional_sales WHERE total_sales > (SELECT SUM(total_sales)/10 FROM regional_sales) ) SELECT region, product, SUM(quantity) AS product_units, SUM(amount) AS product_sales FROM orders WHERE region IN (SELECT region FROM top_regions) GROUP BY region, product;
which displays per-product sales totals in only the top sales regions. The
WITH clause defines two auxiliary statements named
top_regions, where the output of
regional_sales is used in
top_regions and the output of
top_regions is used in the primary
SELECT query. This example could have been written without
WITH, but we'd have needed two levels of nested sub-
SELECTs. It's a bit easier to follow this way.
7.8.2. Recursive Queries
RECURSIVE modifier changes
WITH from a mere syntactic convenience into a feature that accomplishes things not otherwise possible in standard SQL. Using
WITH query can refer to its own output. A very simple example is this query to sum the integers from 1 through 100:
WITH RECURSIVE t(n) AS ( VALUES (1) UNION ALL SELECT n+1 FROM t WHERE n < 100 ) SELECT sum(n) FROM t;
The general form of a recursive
WITH query is always a non-recursive term, then
UNION ALL), then a recursive term, where only the recursive term can contain a reference to the query's own output. Such a query is executed as follows:
Recursive Query Evaluation
Evaluate the non-recursive term. For
UNION ALL), discard duplicate rows. Include all remaining rows in the result of the recursive query, and also place them in a temporary working table.
So long as the working table is not empty, repeat these steps:
Evaluate the recursive term, substituting the current contents of the working table for the recursive self-reference. For
UNION ALL), discard duplicate rows and rows that duplicate any previous result row. Include all remaining rows in the result of the recursive query, and also place them in a temporary intermediate table.
Replace the contents of the working table with the contents of the intermediate table, then empty the intermediate table.
RECURSIVE allows queries to be specified recursively, internally such queries are evaluated iteratively.
In the example above, the working table has just a single row in each step, and it takes on the values from 1 through 100 in successive steps. In the 100th step, there is no output because of the
WHERE clause, and so the query terminates.
Recursive queries are typically used to deal with hierarchical or tree-structured data. A useful example is this query to find all the direct and indirect sub-parts of a product, given only a table that shows immediate inclusions:
WITH RECURSIVE included_parts(sub_part, part, quantity) AS ( SELECT sub_part, part, quantity FROM parts WHERE part = 'our_product' UNION ALL SELECT p.sub_part, p.part, p.quantity * pr.quantity FROM included_parts pr, parts p WHERE p.part = pr.sub_part ) SELECT sub_part, SUM(quantity) as total_quantity FROM included_parts GROUP BY sub_part
184.108.40.206. Search Order
When computing a tree traversal using a recursive query, you might want to order the results in either depth-first or breadth-first order. This can be done by computing an ordering column alongside the other data columns and using that to sort the results at the end. Note that this does not actually control in which order the query evaluation visits the rows; that is as always in SQL implementation-dependent. This approach merely provides a convenient way to order the results afterwards.
To create a depth-first order, we compute for each result row an array of rows that we have visited so far. For example, consider the following query that searches a table
tree using a
WITH RECURSIVE search_tree(id, link, data) AS ( SELECT t.id, t.link, t.data FROM tree t UNION ALL SELECT t.id, t.link, t.data FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree;
To add depth-first ordering information, you can write this:
WITH RECURSIVE search_tree(id, link, data, path) AS ( SELECT t.id, t.link, t.data, ARRAY[t.id] FROM tree t UNION ALL SELECT t.id, t.link, t.data, path || t.id FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY path;
In the general case where more than one field needs to be used to identify a row, use an array of rows. For example, if we needed to track fields
WITH RECURSIVE search_tree(id, link, data, path) AS ( SELECT t.id, t.link, t.data, ARRAY[ROW(t.f1, t.f2)] FROM tree t UNION ALL SELECT t.id, t.link, t.data, path || ROW(t.f1, t.f2) FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY path;
ROW() syntax in the common case where only one field needs to be tracked. This allows a simple array rather than a composite-type array to be used, gaining efficiency.
To create a breadth-first order, you can add a column that tracks the depth of the search, for example:
WITH RECURSIVE search_tree(id, link, data, depth) AS ( SELECT t.id, t.link, t.data, 0 FROM tree t UNION ALL SELECT t.id, t.link, t.data, depth + 1 FROM tree t, search_tree st WHERE t.id = st.link ) SELECT * FROM search_tree ORDER BY depth;
To get a stable sort, add data columns as secondary sorting columns.
The recursive query evaluation algorithm produces its output in breadth-first search order. However, this is an implementation detail and it is perhaps unsound to rely on it. The order of the rows within each level is certainly undefined, so some explicit ordering might be desired in any case.
There is built-in syntax to compute a depth- or breadth-first sort column. For example:
WITH RECURSIVE search_tree(id, link, data) AS ( SELECT t.id, t.link, t.data FROM tree t UNION ALL SELECT t.id, t.link, t.data FROM tree t, search_tree st WHERE t.id = st.link ) SEARCH DEPTH FIRST BY id SET ordercol SELECT * FROM search_tree ORDER BY ordercol; WITH RECURSIVE search_tree(id, link, data) AS ( SELECT t.id, t.link, t.data FROM tree t UNION ALL SELECT t.id, t.link, t.data FROM tree t, search_tree st WHERE t.id = st.link ) SEARCH BREADTH FIRST BY id SET ordercol SELECT * FROM search_tree ORDER BY ordercol;
This syntax is internally expanded to something similar to the above hand-written forms. The
SEARCH clause specifies whether depth- or breadth first search is wanted, the list of columns to track for sorting, and a column name that will contain the result data that can be used for sorting. That column will implicitly be added to the output rows of the CTE.
220.127.116.11. Cycle Detection
When working with recursive queries it is important to be sure that the recursive part of the query will eventually return no tuples, or else the query will loop indefinitely. Sometimes, using
UNION instead of
UNION ALL can accomplish this by discarding rows that duplicate previous output rows. However, often a cycle does not involve output rows that are completely duplicate: it may be necessary to check just one or a few fields to see if the same point has been reached before. The standard method for handling such situations is to compute an array of the already-visited values. For example, consider again the following query that searches a table
graph using a
WITH RECURSIVE search_graph(id, link, data, depth) AS ( SELECT g.id, g.link, g.data, 0 FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1 FROM graph g, search_graph sg WHERE g.id = sg.link ) SELECT * FROM search_graph;
This query will loop if the
link relationships contain cycles. Because we require a “depth” output, just changing
UNION ALL to
UNION would not eliminate the looping. Instead we need to recognize whether we have reached the same row again while following a particular path of links. We add two columns
path to the loop-prone query:
WITH RECURSIVE search_graph(id, link, data, depth, is_cycle, path) AS ( SELECT g.id, g.link, g.data, 0, false, ARRAY[g.id] FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1, g.id = ANY(path), path || g.id FROM graph g, search_graph sg WHERE g.id = sg.link AND NOT is_cycle ) SELECT * FROM search_graph;
Aside from preventing cycles, the array value is often useful in its own right as representing the “path” taken to reach any particular row.
In the general case where more than one field needs to be checked to recognize a cycle, use an array of rows. For example, if we needed to compare fields
WITH RECURSIVE search_graph(id, link, data, depth, is_cycle, path) AS ( SELECT g.id, g.link, g.data, 0, false, ARRAY[ROW(g.f1, g.f2)] FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1, ROW(g.f1, g.f2) = ANY(path), path || ROW(g.f1, g.f2) FROM graph g, search_graph sg WHERE g.id = sg.link AND NOT is_cycle ) SELECT * FROM search_graph;
ROW() syntax in the common case where only one field needs to be checked to recognize a cycle. This allows a simple array rather than a composite-type array to be used, gaining efficiency.
There is built-in syntax to simplify cycle detection. The above query can also be written like this:
WITH RECURSIVE search_graph(id, link, data, depth) AS ( SELECT g.id, g.link, g.data, 1 FROM graph g UNION ALL SELECT g.id, g.link, g.data, sg.depth + 1 FROM graph g, search_graph sg WHERE g.id = sg.link ) CYCLE id SET is_cycle USING path SELECT * FROM search_graph;
and it will be internally rewritten to the above form. The
CYCLE clause specifies first the list of columns to track for cycle detection, then a column name that will show whether a cycle has been detected, and finally the name of another column that will track the path. The cycle and path columns will implicitly be added to the output rows of the CTE.
The cycle path column is computed in the same way as the depth-first ordering column show in the previous section. A query can have both a
SEARCH and a
CYCLE clause, but a depth-first search specification and a cycle detection specification would create redundant computations, so it's more efficient to just use the
CYCLE clause and order by the path column. If breadth-first ordering is wanted, then specifying both
CYCLE can be useful.
A helpful trick for testing queries when you are not certain if they might loop is to place a
LIMIT in the parent query. For example, this query would loop forever without the
WITH RECURSIVE t(n) AS ( SELECT 1 UNION ALL SELECT n+1 FROM t ) SELECT n FROM t LIMIT 100;
This works because Postgres Pro's implementation evaluates only as many rows of a
WITH query as are actually fetched by the parent query. Using this trick in production is not recommended, because other systems might work differently. Also, it usually won't work if you make the outer query sort the recursive query's results or join them to some other table, because in such cases the outer query will usually try to fetch all of the
WITH query's output anyway.
7.8.3. Common Table Expression Materialization
A useful property of
WITH queries is that they are normally evaluated only once per execution of the parent query, even if they are referred to more than once by the parent query or sibling
WITH queries. Thus, expensive calculations that are needed in multiple places can be placed within a
WITH query to avoid redundant work. Another possible application is to prevent unwanted multiple evaluations of functions with side-effects. However, the other side of this coin is that the optimizer is not able to push restrictions from the parent query down into a multiply-referenced
WITH query, since that might affect all uses of the
WITH query's output when it should affect only one. The multiply-referenced
WITH query will be evaluated as written, without suppression of rows that the parent query might discard afterwards. (But, as mentioned above, evaluation might stop early if the reference(s) to the query demand only a limited number of rows.)
However, if a
WITH query is non-recursive and side-effect-free (that is, it is a
SELECT containing no volatile functions) then it can be folded into the parent query, allowing joint optimization of the two query levels. By default, this happens if the parent query references the
WITH query just once, but not if it references the
WITH query more than once. You can override that decision by specifying
MATERIALIZED to force separate calculation of the
WITH query, or by specifying
NOT MATERIALIZED to force it to be merged into the parent query. The latter choice risks duplicate computation of the
WITH query, but it can still give a net savings if each usage of the
WITH query needs only a small part of the
WITH query's full output.
A simple example of these rules is
WITH w AS ( SELECT * FROM big_table ) SELECT * FROM w WHERE key = 123;
WITH query will be folded, producing the same execution plan as
SELECT * FROM big_table WHERE key = 123;
In particular, if there's an index on
key, it will probably be used to fetch just the rows having
key = 123. On the other hand, in
WITH w AS ( SELECT * FROM big_table ) SELECT * FROM w AS w1 JOIN w AS w2 ON w1.key = w2.ref WHERE w2.key = 123;
WITH query will be materialized, producing a temporary copy of
big_table that is then joined with itself — without benefit of any index. This query will be executed much more efficiently if written as
WITH w AS NOT MATERIALIZED ( SELECT * FROM big_table ) SELECT * FROM w AS w1 JOIN w AS w2 ON w1.key = w2.ref WHERE w2.key = 123;
so that the parent query's restrictions can be applied directly to scans of
An example where
NOT MATERIALIZED could be undesirable is
WITH w AS ( SELECT key, very_expensive_function(val) as f FROM some_table ) SELECT * FROM w AS w1 JOIN w AS w2 ON w1.f = w2.f;
Here, materialization of the
WITH query ensures that
very_expensive_function is evaluated only once per table row, not twice.
The examples above only show
WITH being used with
SELECT, but it can be attached in the same way to
MERGE. In each case it effectively provides temporary table(s) that can be referred to in the main command.
7.8.4. Data-Modifying Statements in
You can use most data-modifying statements (
DELETE, but not
WITH. This allows you to perform several different operations in the same query. An example is:
WITH moved_rows AS ( DELETE FROM products WHERE "date" >= '2010-10-01' AND "date" < '2010-11-01' RETURNING * ) INSERT INTO products_log SELECT * FROM moved_rows;
This query effectively moves rows from
WITH deletes the specified rows from
products, returning their contents by means of its
RETURNING clause; and then the primary query reads that output and inserts it into
A fine point of the above example is that the
WITH clause is attached to the
INSERT, not the sub-
SELECT within the
INSERT. This is necessary because data-modifying statements are only allowed in
WITH clauses that are attached to the top-level statement. However, normal
WITH visibility rules apply, so it is possible to refer to the
WITH statement's output from the sub-
Data-modifying statements in
WITH usually have
RETURNING clauses (see Section 6.4), as shown in the example above. It is the output of the
RETURNING clause, not the target table of the data-modifying statement, that forms the temporary table that can be referred to by the rest of the query. If a data-modifying statement in
WITH lacks a
RETURNING clause, then it forms no temporary table and cannot be referred to in the rest of the query. Such a statement will be executed nonetheless. A not-particularly-useful example is:
WITH t AS ( DELETE FROM foo ) DELETE FROM bar;
This example would remove all rows from tables
bar. The number of affected rows reported to the client would only include rows removed from
Recursive self-references in data-modifying statements are not allowed. In some cases it is possible to work around this limitation by referring to the output of a recursive
WITH, for example:
WITH RECURSIVE included_parts(sub_part, part) AS ( SELECT sub_part, part FROM parts WHERE part = 'our_product' UNION ALL SELECT p.sub_part, p.part FROM included_parts pr, parts p WHERE p.part = pr.sub_part ) DELETE FROM parts WHERE part IN (SELECT part FROM included_parts);
This query would remove all direct and indirect subparts of a product.
Data-modifying statements in
WITH are executed exactly once, and always to completion, independently of whether the primary query reads all (or indeed any) of their output. Notice that this is different from the rule for
WITH: as stated in the previous section, execution of a
SELECT is carried only as far as the primary query demands its output.
The sub-statements in
WITH are executed concurrently with each other and with the main query. Therefore, when using data-modifying statements in
WITH, the order in which the specified updates actually happen is unpredictable. All the statements are executed with the same snapshot (see Chapter 13), so they cannot “see” one another's effects on the target tables. This alleviates the effects of the unpredictability of the actual order of row updates, and means that
RETURNING data is the only way to communicate changes between different
WITH sub-statements and the main query. An example of this is that in
WITH t AS ( UPDATE products SET price = price * 1.05 RETURNING * ) SELECT * FROM products;
SELECT would return the original prices before the action of the
UPDATE, while in
WITH t AS ( UPDATE products SET price = price * 1.05 RETURNING * ) SELECT * FROM t;
SELECT would return the updated data.
Trying to update the same row twice in a single statement is not supported. Only one of the modifications takes place, but it is not easy (and sometimes not possible) to reliably predict which one. This also applies to deleting a row that was already updated in the same statement: only the update is performed. Therefore you should generally avoid trying to modify a single row twice in a single statement. In particular avoid writing
WITH sub-statements that could affect the same rows changed by the main statement or a sibling sub-statement. The effects of such a statement will not be predictable.
At present, any table used as the target of a data-modifying statement in
WITH must not have a conditional rule, nor an
ALSO rule, nor an
INSTEAD rule that expands to multiple statements.