Histogram-based statistics are a mechanism to improve the query plan chosen by the optimizer in certain situations. Before their introduction, all conditions on non-indexed columns were ignored when searching for the best execution plan. Histograms can be collected for both indexed and non-indexed columns, and are made available to the optimizer.
Histogram statistics are stored in the mysql.column_stats table, which stores data for engine-independent table statistics, and so are essentially a subset of engine-independent table statistics.
Consider this example, using the following query:
SELECT * FROM t1,t2 WHERE t1.a=t2.a and t2.b BETWEEN 1 AND 3;
Let's assume that
- table t1 contains 100 records
- table t2 contains 1000 records
- there is a primary index on t1(a)
- there is a secondary index on t2(a)
- there is no index defined on column t2.b
- the selectivity of the condition t2.b BETWEEN (1,3) is high (~ 1%)
Before histograms were introduced, the optimizer would choose the plan that:
- accesses t1 using a table scan
- accesses t2 using index t2(a)
- checks the condition t2.b BETWEEN 1 AND 3
This plan examines all rows of both tables and performs 100 index look-ups.
With histograms available, the optimizer can choose the following, more efficient plan:
- accesses table t2 in a table scan
- checks the condition t2.b BETWEEN 1 AND 3
- accesses t1 using index t1(a)
This plan also examine all rows from t2, but it performs only 10 look-ups to access 10 rows of table t1.
System Variables
There are a number of system variables that affect histograms.
histogram_size
The histogram_size variable determines the size, in bytes, from 0 to 255, used for a histogram. This is effectively the number of bins for histogram_type=SINGLE_PREC_HB or number of bins/2 for histogram_type=DOUBLE_PREC_HB. If it is set to 0 (the default for MariaDB 10.4.2 and below), no histograms are created when running an ANALYZE TABLE.
histogram_type
The histogram_type variable determines whether single precision (SINGLE_PREC_HB) or double precision (DOUBLE_PREC_HB) height-balanced histograms are created. From MariaDB 10.4.3, double precision is the default. For MariaDB 10.4.2 and below, single precision is the default. From MariaDB 10.7, JSON_HB, JSON-format histograms, are accepted.
optimizer_use_condition_selectivity
The optimizer_use_condition_selectivity controls which statistics can be used by the optimizer when looking for the best query execution plan.
-
1 Use selectivity of predicates as in MariaDB 5.5.
-
2 Use selectivity of all range predicates supported by indexes.
-
3 Use selectivity of all range predicates estimated without histogram.
-
4 Use selectivity of all range predicates estimated with histogram.
-
5 Additionally use selectivity of certain non-range predicates calculated on record sample.
From MariaDB 10.4.1, the default is 4. Until MariaDB 10.4.0, the default is 1.
Example
Here is an example of the dramatic impact histogram-based statistics can make. The query is based on DBT3 Benchmark Q20 with 60 millions records in the lineitem table.
select sql_calc_found_rows s_name, s_address from
supplier, nation where
s_suppkey in
(select ps_suppkey from partsupp where
ps_partkey in (select p_partkey from part where
p_name like 'forest%') and
ps_availqty >
(select 0.5 * sum(l_quantity) from lineitem where
l_partkey = ps_partkey and l_suppkey = ps_suppkey and
l_shipdate >= date('1994-01-01') and
l_shipdate < date('1994-01-01') + interval '1' year ))
and s_nationkey = n_nationkey
and n_name = 'CANADA'
order by s_name
limit 10;
First,
set optimizer_switch='materialization=off,semijoin=off';
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | nation | ALL |...| 25 |100.00 | Using where;...
| 1 | PRIMARY | supplier | ref |...| 1447 |100.00 | Using where; Subq
| 2 | DEP SUBQ| partsupp | idxsq |...| 38 |100.00 | Using where
| 4 | DEP SUBQ| lineitem | ref |...| 3 |100.00 | Using where
| 3 | DEP SUBQ| part | unqsb |...| 1 |100.00 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(51.78 sec)
Next, a really bad plan, yet one sometimes chosen:
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | supplier | ALL |...|100381|100.00 | Using where; Subq
| 1 | PRIMARY | nation | ref |...| 1 |100.00 | Using where
| 2 | DEP SUBQ| partsupp | idxsq |...| 38 |100.00 | Using where
| 4 | DEP SUBQ| lineitem | ref |...| 3 |100.00 | Using where
| 3 | DEP SUBQ| part | unqsb |...| 1 |100.00 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(7 min 33.42 sec)
Persistent statistics don't improve matters:
set use_stat_tables='preferably';
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | supplier | ALL |...|10000 |100.00 | Using where;
| 1 | PRIMARY | nation | ref |...| 1 |100.00 | Using where
| 2 | DEP SUBQ| partsupp | idxsq |...| 80 |100.00 | Using where
| 4 | DEP SUBQ| lineitem | ref |...| 7 |100.00 | Using where
| 3 | DEP SUBQ| part | unqsb |...| 1 |100.00 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(7 min 40.44 sec)
The default flags for optimizer_switch do not help much:
set optimizer_switch='materialization=default,semijoin=default';
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | supplier | ALL |...|10000 |100.00 | Using where;
| 1 | PRIMARY | nation | ref |...| 1 |100.00 | Using where
| 1 | PRIMARY | <subq2> | eq_ref|...| 1 |100.00 |
| 2 | MATER | part | ALL |.. |2000000|100.00 | Using where
| 2 | MATER | partsupp | ref |...| 4 |100.00 | Using where; Subq
| 4 | DEP SUBQ| lineitem | ref |...| 7 |100.00 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(5 min 21.44 sec)
Using statistics doesn't help either:
set optimizer_switch='materialization=default,semijoin=default';
set optimizer_use_condition_selectivity=4;
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | nation | ALL |...| 25 |4.00 | Using where
| 1 | PRIMARY | supplier | ref |...| 4000 |100.00 | Using where;
| 1 | PRIMARY | <subq2> | eq_ref|...| 1 |100.00 |
| 2 | MATER | part | ALL |.. |2000000|1.56 | Using where
| 2 | MATER | partsupp | ref |...| 4 |100.00 | Using where; Subq
| 4 | DEP SUBQ| lineitem | ref |...| 7 | 30.72 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(5 min 22.41 sec)
Now, taking into account the cost of the dependent subquery:
set optimizer_switch='materialization=default,semijoin=default';
set optimizer_use_condition_selectivity=4;
set optimizer_switch='expensive_pred_static_pushdown=on';
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | nation | ALL |...| 25 | 4.00 | Using where
| 1 | PRIMARY | supplier | ref |...| 4000 |100.00 | Using where;
| 2 | PRIMARY | partsupp | ref |...| 80 |100.00 |
| 2 | PRIMARY | part | eq_ref|...| 1 | 1.56 | where; Subq; FM
| 4 | DEP SUBQ| lineitem | ref |...| 7 | 30.72 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(49.89 sec)
Finally, using join_buffer as well:
set optimizer_switch= 'materialization=default,semijoin=default';
set optimizer_use_condition_selectivity=4;
set optimizer_switch='expensive_pred_static_pushdown=on';
set join_cache_level=6;
set optimizer_switch='mrr=on';
set optimizer_switch='mrr_sort_keys=on';
set join_buffer_size=1024*1024*16;
set join_buffer_space_limit=1024*1024*32;
+---+-------- +----------+-------+...+------+----------+------------
| id| sel_type| table | type |...| rows | filt | Extra
+---+-------- +----------+-------+...+------+----------+------------
| 1 | PRIMARY | nation | AL L |...| 25 | 4.00 | Using where
| 1 | PRIMARY | supplier | ref |...| 4000 |100.00 | where; BKA
| 2 | PRIMARY | partsupp | ref |...| 80 |100.00 | BKA
| 2 | PRIMARY | part | eq_ref|...| 1 | 1.56 | where Sq; FM; BKA
| 4 | DEP SUBQ| lineitem | ref |...| 7 | 30.72 | Using where
+---+-------- +----------+-------+...+------+----------+------------
10 rows in set
(35.71 sec)
See Also