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Functional Indexes in MySQL

What are functional key parts?​

In contrast to a "normal" index which indexes column values, functional key parts can index expression values. Hence, functional key parts enable indexing values which are not stored directly in the table itself. MySQL 8.0.13 and higher have added support for functional key parts.

When are functional indexes helpful?

In cases where MySQL users may want to optimize their queries containing expressions, indexing column values will not achieve the desired result. In such cases, users should create a functional index for the expressions in their query in order to optimize the performance of the query.

Syntax​

Here is how you can define functional indexes in a table:

CREATE TABLE table_name (column_1 INT, column_2 INT, INDEX functional_index ((ABS(column_1))));
CREATE INDEX functional_index ON table_name ((column_1 + column_2));
CREATE INDEX functional_index ON table_name ((column_1 + column_2), (column_1 - column_2), column_1);
ALTER TABLE table_name ADD INDEX ((column_1 * 90) DESC);
info

Expressions must be enclosed within parentheses in order to create a functional index. If you do not enclose expressions within parentheses in the index definition, you will get the following error:

ERROR 1064 (42000): You have an error in your SQL syntax

Example​

Let’s create a table containing a list of students and the marks they received in each subject with the following command:

CREATE TABLE `scorecard` (
`id` mediumint(8) unsigned NOT NULL auto_increment,
`name` varchar(255),
`science` mediumint,
`mathematics` mediumint,
`language` mediumint,
`social_science` mediumint,
`arts` mediumint,
PRIMARY KEY (`id`)
) AUTO_INCREMENT=1;

Here is what a portion of the table might look like after inserting values:

SELECT * FROM scorecard
Output
+----+------------------+---------+-------------+----------+----------------+------+
| id | name | science | mathematics | language | social_science | arts |
+----+------------------+---------+-------------+----------+----------------+------+
| 1 | Abel Warren | 73 | 73 | 73 | 73 | 73 |
| 2 | Erick Valentine | 90 | 7 | 91 | 8 | 57 |
| 3 | Janice Payne | 49 | 6 | 91 | 48 | 77 |
| 4 | Gretchen Mason | 98 | 76 | 67 | 46 | 11 |
| 5 | Lawanda Noble | 85 | 22 | 7 | 44 | 33 |
| 6 | Robbie Baird | 98 | 66 | 2 | 69 | 67 |
| 7 | Carla Compton | 22 | 80 | 69 | 27 | 54 |
| 8 | Heath Stafford | 7 | 2 | 80 | 75 | 89 |
| 9 | Kendra Stevenson | 74 | 81 | 15 | 21 | 1 |
| 10 | Brandie Chase | 94 | 94 | 92 | 92 | 93 |
.
.
| 1000000 | James Strong | 47 | 78 | 36 | 67 | 73 |

We do not have any indexes other than the primary index on the id column. Now, suppose we want information about the top ten students who scored the best average in math and science combined. Let's query that data with the following command:

SELECT
id, name, ((science + mathematics)/2) as average_score
FROM
scorecard
ORDER BY
average_score DESC
LIMIT 10
Output
+-------+------------------+-------------------+
| id | name | average_score |
+-------+------------------+-------------------+
| 31593 | Rusty Mercer | 99.0000 |
| 24451 | Sara Fowler | 99.0000 |
| 8190 | Cecil Glass | 99.0000 |
| 47193 | Nelson Horn | 99.0000 |
| 7032 | Calvin Freeman | 99.0000 |
| 99198 | Mathew Rowland | 99.0000 |
| 50054 | Josephine Forbes | 99.0000 |
| 52280 | Krystal Yoder | 99.0000 |
| 12639 | Maribel Carroll | 99.0000 |
| 53245 | Ramona Fischer | 99.0000 |
+-------+------------------+-------------------+
10 rows in set (0.47 sec)

Now, let's see how much the query cost with the following command:

EXPLAIN FORMAT=JSON
SELECT
id, name, ((science + mathematics)/2) as average_score
FROM
scorecard
ORDER BY
average_score DESC
LIMIT 10;
Output
| {
"query_block": {
"select_id": 1,
"cost_info": {
"query_cost": "100567.25"
},
"ordering_operation": {
"using_filesort": true,
"table": {
"table_name": "scorecard",
"access_type": "ALL",
"rows_examined_per_scan": 997100,
"rows_produced_per_join": 997100,
"filtered": "100.00",
"cost_info": {
"read_cost": "857.25",
"eval_cost": "99710.00",
"prefix_cost": "100567.25",
"data_read_per_join": "996M"
},
"used_columns": [
"id",
"name",
"science",
"mathematics"
]
}
}
}
} |

The cost is huge (100567.25) because MySQL uses the filesort operation when it is unable to utilize an index. As we are making use of columns science and mathematics, let’s try to optimize the query performance by indexing these columns with the following command:

CREATE INDEX
normal_index
ON
scorecard (science, mathematics);
Output
Query OK, 0 rows affected (1.40 sec)
Records: 0 Duplicates: 0 Warnings: 0

Awesome, our index is now created! Let's check again how much our previous query cost, with the same command:

EXPLAIN ANALYZE
SELECT
id, name, ((science + mathematics)/2) as average_score
FROM
scorecard
ORDER BY
average_score DESC
LIMIT 10;
Output
| -> Limit: 10 row(s)  (cost=100448.95 rows=10) (actual time=552.143..552.145 rows=10 loops=1)
-> Sort: average_score DESC, limit input to 10 row(s) per chunk (cost=100448.95 rows=995917) (actual time=552.142..552.143 rows=10 loops=1)
-> Table scan on scorecard (cost=100448.95 rows=995917) (actual time=0.076..263.811 rows=1000000 loops=1)
|
info

You can learn more about EXPLAIN EXTRA in the official documentation here.

The cost is still the same, our query hasn’t used the index we created which can be seen in the output of the following command (key = NULL):

EXPLAIN
SELECT
id, name, ((science + mathematics)/2) as average_score
FROM
scorecard
ORDER BY
average_score DESC
LIMIT 10\G;
Output
*************************** 1. row ***************************
id: 1
select_type: SIMPLE
table: scorecard
partitions: NULL
type: ALL
possible_keys: NULL
key: NULL
key_len: NULL
ref: NULL
rows: 997269
filtered: 100.00
Extra: Using filesort
1 row in set, 1 warning (0.00 sec)
info

A filesort operation uses temporary disk files as necessary if the result set is too large to fit in memory. To learn more about how filesort is used to satisfy the ORDER BY clause in MySQL, click here.

This is where having knowledge about functional indexes becomes essential. Now, let's try to optimize the query by creating a functional index with the expression ((science + mathematics)/2) from our query, with the following command:

CREATE INDEX
functional_idx
ON
scorecard((science + mathematics)/2);
Output
ERROR 1064 (42000): You have an error in your SQL syntax; check the manual that corresponds to your MySQL server version for the right syntax to use near '/2)' at line 4

Oops, that didn’t work! As we mentioned in the syntax section above, expressions must be enclosed within parentheses in order to create a functional index. Let’s try this again with the correct syntax:

CREATE INDEX
functional_idx
ON
scorecard(((science + mathematics)/2));
Output
Query OK, 0 rows affected (2.13 sec)
Records: 0 Duplicates: 0 Warnings: 0

Let's check again how much our previous query cost, with the same command:

EXPLAIN
SELECT
id, name, ((science + mathematics)/2) as average_score
FROM
scorecard
ORDER BY
average_score DESC
LIMIT 10;
Output
| -> Limit: 10 row(s)  (cost=0.01 rows=10) (actual time=0.149..0.160 rows=10 loops=1)
-> Index scan on scorecard using functional_idx (reverse) (cost=0.01 rows=10) (actual time=0.148..0.157 rows=10 loops=1)
|

The cost has reduced down to 0.01! The index scan has used the index "functional_idx" in order to execute the query. This is a significant improvement in performance compared to the scenarios above with an index on a column (unused) or no index at all (both of which cost 100000+ units).

Limitations

  1. Functional indexes cannot be defined as primary keys.
  2. Any conditions, functions or expressions in the query other than the ones defined in the functional index will not make use of the functional index. Thus, one needs to create a functional index with the exact conditions, functions or expressions which are used by the query.

Managing Functional Indexes is easy with Atlas​

Atlas is an open-source project which allows us to manage our database using a simple and easy-to-understand declarative syntax.

info

If you are just getting started, install the latest version of Atlas using the guide to setting up Atlas.

We will first use the atlas schema inspect command to get an HCL representation of the table we created earlier (without any indexes other than primary index on id column) by using the Atlas CLI:

atlas schema inspect -u "mysql://root:password@localhost:3306/scorecard" > schema.hcl
schema.hcl
table "scorecard" {
schema = schema.scorecard
column "id" {
type = int
auto_increment = true
}
column "name" {
type = varchar(255)
}
column "science" {
type = mediumint
}
column "mathematics" {
type = mediumint
}
column "language" {
type = mediumint
}
column "social_science" {
type = mediumint
}
column "arts" {
type = mediumint
}
primary_key {
columns = [column.id]
}
}
schema "scorecard" {
charset = "utf8mb4"
collate = "utf8mb4_0900_ai_ci"
}

Now, let's add the following index definition to the file:

  index "sci_math_avg_idx" {
on {
expr = "((`science` + `mathematics`) / 2)"
}
}

Save and apply the schema changes on the database by using the apply command:

atlas schema apply -u "mysql://root:password@localhost:3306/scorecard" -f schema.hcl --dev-url docker://mysql/8/scorecard
info

If you get Error: pulling image: exit status 1 error, ensure that Docker Desktop is up and running.

Atlas generates the necessary SQL statements to add the new index to the database schema. Press Enter key while the Apply option is highlighted to apply the changes:

-- Planned Changes:
-- Modify "scorecard" table
ALTER TABLE `scorecard`.`scorecard` ADD INDEX `sci_math_avg_idx` (((`science` + `mathematics`) / 2))
Use the arrow keys to navigate: ↓ ↑ → ←
? Are you sure?:
▸ Apply
Abort

To verify that our new index was created, open the database command line tool from the previous step and run:

SHOW INDEXES FROM scorecard;
Output
*************************** 1. row ***************************
Table: scorecard
Non_unique: 0
Key_name: PRIMARY
Seq_in_index: 1
Column_name: id
Collation: A
Cardinality: 997438
Sub_part: NULL
Packed: NULL
Null:
Index_type: BTREE
Comment:
Index_comment:
Visible: YES
Expression: NULL
*************************** 2. row ***************************
Table: scorecard
Non_unique: 1
Key_name: sci_math_avg_idx
Seq_in_index: 1
Column_name: NULL
Collation: A
Cardinality: 190
Sub_part: NULL
Packed: NULL
Null: YES
Index_type: BTREE
Comment:
Index_comment:
Visible: YES
Expression: ((`science` + `mathematics`) / 2)
2 rows in set (0.00 sec)

Amazing! Our new index sci_math_avg_idx with the expression “(science + mathematics) / 2” is now created!

Wrapping up​

In this guide, we demonstrated how using functional indexes with an appropriate expression becomes a very crucial skill in optimizing query performance with combinations of certain expressions, functions and/or conditions.

Need More Help?​​

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