Introduction to Statistics

TiDB uses statistics to decide which index to choose. The tidb_analyze_version variable controls the statistics collected by TiDB. Currently, two versions of statistics are supported: tidb_analyze_version = 1 and tidb_analyze_version = 2. In versions before v5.1.0, the default value of this variable is 1. In v5.3.0 and later versions, the default value of this variable is 2, which serves as an experimental feature. If your cluster is upgraded from a version earlier than v5.3.0 to v5.3.0 or later, the default value of tidb_analyze_version does not change.

These two versions include different information in TiDB:

InformationVersion 1Version 2
The total number of rows in the table
Column Count-Min Sketch×
Index Count-Min Sketch×
Column Top-N√ (Maintenance methods and precision are improved)
Index Top-N√ (Insufficient maintenance precision might cause inaccuracy)√ (Maintenance methods and precision are improved)
Column histogram√ (The histogram does not include Top-N values.)
Index histogram√ (The histogram buckets record the number of different values in each bucket, and the histogram does not include Top-N values.)
The number of NULLs in the column
The number of NULLs in the index
The average length of columns
The average length of indexes

Compared to Version 1, Version 2 statistics avoids the potential inaccuracy caused by hash collision when the data volume is huge. It also maintains the estimate precision in most scenarios.

This document briefly introduces the histogram, Count-Min Sketch, and Top-N, and details the collection and maintenance of statistics.

Histogram

A histogram is an approximate representation of the distribution of data. It divides the entire range of values into a series of buckets, and uses simple data to describe each bucket, such as the number of values ​​falling in the bucket. In TiDB, an equal-depth histogram is created for the specific columns of each table. The equal-depth histogram can be used to estimate the interval query.

Here "equal-depth" means that the number of values ​​falling into each bucket is as equal as possible. For example, for a given set {1.6, 1.9, 1.9, 2.0, 2.4, 2.6, 2.7, 2.7, 2.8, 2.9, 3.4, 3.5}, you want to generate 4 buckets. The equal-depth histogram is as follows. It contains four buckets [1.6, 1.9], [2.0, 2.6], [2.7, 2.8], [2.9, 3.5]. The bucket depth is 3.

Equal-depth Histogram Example

For details about the parameter that determines the upper limit to the number of histogram buckets, refer to Manual Collection. When the number of buckets is larger, the accuracy of the histogram is higher; however, higher accuracy is at the cost of the usage of memory resources. You can adjust this number appropriately according to the actual scenario.

Count-Min Sketch

Count-Min Sketch is a hash structure. When an equivalence query contains a = 1 or IN query (for example, a in (1, 2, 3)), TiDB uses this data structure for estimation.

A hash collision might occur since Count-Min Sketch is a hash structure. In the EXPLAIN statement, if the estimate of the equivalent query deviates greatly from the actual value, it can be considered that a larger value and a smaller value have been hashed together. In this case, you can take one of the following ways to avoid the hash collision:

  • Modify the WITH NUM TOPN parameter. TiDB stores the high-frequency (top x) data separately, with the other data stored in Count-Min Sketch. Therefore, to prevent a larger value and a smaller value from being hashed together, you can increase the value of WITH NUM TOPN. In TiDB, its default value is 20. The maximum value is 1024. For more information about this parameter, see Full Collection.
  • Modify two parameters WITH NUM CMSKETCH DEPTH and WITH NUM CMSKETCH WIDTH. Both affect the number of hash buckets and the collision probability. You can increase the values of the two parameters appropriately according to the actual scenario to reduce the probability of hash collision, but at the cost of higher memory usage of statistics. In TiDB, the default value of WITH NUM CMSKETCH DEPTH is 5, and the default value of WITH NUM CMSKETCH WIDTH is 2048. For more information about the two parameters, see Full Collection.

Top-N values

Top-N values are values with the top N occurrences in a column or index. TiDB records the values and occurrences of Top-N values.

Collect statistics

Manual collection

You can run the ANALYZE statement to collect statistics.

Full collection

You can perform full collection using the following syntax.

  • To collect statistics of all the tables in TableNameList:

    ANALYZE TABLE TableNameList [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];
  • WITH NUM BUCKETS specifies the maximum number of buckets in the generated histogram.

  • WITH NUM TOPN specifies the maximum number of the generated TOPNs.

  • WITH NUM CMSKETCH DEPTH specifies the depth of the CM Sketch.

  • WITH NUM CMSKETCH WIDTH specifies the width of the CM Sketch.

  • WITH NUM SAMPLES specifies the number of samples.

  • WITH FLOAT_NUM SAMPLERATE specifies the sampling rate.

WITH NUM SAMPLES and WITH FLOAT_NUM SAMPLERATE correspond to two different algorithms of collecting samples.

  • WITH NUM SAMPLES specifies the size of the sampling set, which is implemented in the reservoir sampling method in TiDB. When a table is large, it is not recommended to use this method to collect statistics. Because the intermediate result set of the reservoir sampling contains redundant results, it causes additional pressure on resources such as memory.
  • WITH FLOAT_NUM SAMPLERATE is a sampling method introduced in v5.3.0. With the value range (0, 1], this parameter specifies the sampling rate. It is implemented in the way of Bernoulli sampling in TiDB, which is more suitable for sampling larger tables and performs better in collection efficiency and resource usage.

Before v5.3.0, TiDB uses the reservoir sampling method to collect statistics. Since v5.3.0, the TiDB Version 2 statistics uses the Bernoulli sampling method to collect statistics by default. To re-use the reservoir sampling method, you can use the WITH NUM SAMPLES statement.

The following syntax collects statistics for some columns in the TableName table:

ANALYZE TABLE TableName COLUMNS ColumnNameList [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];

This syntax collects statistics on the specified columns and indexes, as well as the statistics on the columns involved in the extended statistics. If the number of columns in the table is large, the columns that require statistics might only be a small subset of the table. In this situation, this syntax can greatly reduce the stress of collecting statistics.

  • To collect statistics of the index columns on all IndexNameLists in TableName:

    ANALYZE TABLE TableName INDEX [IndexNameList] [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH|SAMPLES]|[WITH FLOATNUM SAMPLERATE];

    The statement collects statistics of all index columns when IndexNameList is empty.

  • To collect statistics of partition in all PartitionNameLists in TableName:

    ANALYZE TABLE TableName PARTITION PartitionNameList [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];
  • To collect statistics of some columns for the partitions in all PartitionNameLists in TableName:

    ANALYZE TABLE TableName PARTITION PartitionNameList COLUMNS ColumnNameList [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];
  • To collect statistics of index columns for the partitions in all PartitionNameLists in TableName:

    ANALYZE TABLE TableName PARTITION PartitionNameList INDEX [IndexNameList] [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];

Incremental collection

To improve the speed of analysis after full collection, incremental collection could be used to analyze the newly added sections in monotonically non-decreasing columns such as time columns.

You can perform incremental collection using the following syntax.

  • To incrementally collect statistics for index columns in all IndexNameLists in TableName:

    ANALYZE INCREMENTAL TABLE TableName INDEX [IndexNameList] [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];
  • To incrementally collect statistics of index columns for partitions in all PartitionNameLists in TableName:

    ANALYZE INCREMENTAL TABLE TableName PARTITION PartitionNameList INDEX [IndexNameList] [WITH NUM BUCKETS|TOPN|CMSKETCH DEPTH|CMSKETCH WIDTH]|[WITH NUM SAMPLES|WITH FLOATNUM SAMPLERATE];

Automatic update

For the INSERT, DELETE, or UPDATE statements, TiDB automatically updates the number of rows and updated rows. TiDB persists this information regularly and the update cycle is 20 * stats-lease. The default value of stats-lease is 3s. If you specify the value as 0, it does not update automatically.

Three system variables related to automatic update of statistics are as follows:

System VariableDefault ValueDescription
tidb_auto_analyze_ratio0.5The threshold value of automatic update
tidb_auto_analyze_start_time00:00 +0000The start time in a day when TiDB can perform automatic update
tidb_auto_analyze_end_time23:59 +0000The end time in a day when TiDB can perform automatic update

When the ratio of the number of modified rows to the total number of rows of tbl in a table is greater than tidb_auto_analyze_ratio, and the current time is between tidb_auto_analyze_start_time and tidb_auto_analyze_end_time, TiDB executes the ANALYZE TABLE tbl statement in the background to automatically update the statistics of this table.

Before v5.0, when the query is executed, TiDB collects feedback with the probability of feedback-probability and uses it to update the histogram and Count-Min Sketch. In the current version, this feature is experimental and disabled by default, and it is not recommended to enable this feature in the production environment.

Control ANALYZE concurrency

When you run the ANALYZE statement, you can adjust the concurrency using the following parameters, to control its effect on the system.

tidb_build_stats_concurrency

Currently, when you run the ANALYZE statement, the task is divided into multiple small tasks. Each task only works on one column or index. You can use the tidb_build_stats_concurrency parameter to control the number of simultaneous tasks. The default value is 4.

tidb_distsql_scan_concurrency

When you analyze regular columns, you can use the tidb_distsql_scan_concurrency parameter to control the number of Region to be read at one time. The default value is 15.

tidb_index_serial_scan_concurrency

When you analyze index columns, you can use the tidb_index_serial_scan_concurrency parameter to control the number of Region to be read at one time. The default value is 1.

View ANALYZE state

When executing the ANALYZE statement, you can view the current state of ANALYZE using the following SQL statement:

SHOW ANALYZE STATUS [ShowLikeOrWhere]

This statement returns the state of ANALYZE. You can use ShowLikeOrWhere to filter the information you need.

Currently, the SHOW ANALYZE STATUS statement returns the following 7 columns:

Syntax ElementDescription
table_schemaThe database name
table_nameThe table name
partition_nameThe partition name
job_infoThe task information. The element includes index names when index analysis is performed.
row_countThe number of rows that have been analyzed
start_timeThe time at which the task starts
stateThe state of a task, including pending, running, finished, and failed

View statistics

You can view the statistics status using the following statements.

Metadata of tables

You can use the SHOW STATS_META statement to view the total number of rows and the number of updated rows.

The syntax of ShowLikeOrWhereOpt is as follows:

SHOW STATS_META [ShowLikeOrWhere]

Currently, the SHOW STATS_META statement returns the following 6 columns:

Syntax ElementDescription
db_nameThe database name
table_nameThe table name
partition_nameThe partition name
update_timeThe time of the update
modify_countThe number of modified rows
row_countThe total number of rows

Health state of tables

You can use the SHOW STATS_HEALTHY statement to check the health state of tables and roughly estimate the accuracy of the statistics. When modify_count >= row_count, the health state is 0; when modify_count < row_count, the health state is (1 - modify_count/row_count) * 100.

The synopsis of SHOW STATS_HEALTHY is:

ShowStatsHealthy

and the synopsis of the ShowLikeOrWhereOpt part is:

ShowLikeOrWhereOpt

Currently, the SHOW STATS_HEALTHY statement returns the following 4 columns:

Syntax ElementDescription
db_nameThe database name
table_nameThe table name
partition_nameThe partition name
healthyThe health state of tables

Metadata of columns

You can use the SHOW STATS_HISTOGRAMS statement to view the number of different values and the number of NULL in all the columns.

Syntax as follows:

SHOW STATS_HISTOGRAMS [ShowLikeOrWhere]

This statement returns the number of different values and the number of NULL in all the columns. You can use ShowLikeOrWhere to filter the information you need.

Currently, the SHOW STATS_HISTOGRAMS statement returns the following 10 columns:

Syntax ElementDescription
db_nameThe database name
table_nameThe table name
partition_nameThe partition name
column_nameThe column name (when is_index is 0) or the index name (when is_index is 1)
is_indexWhether it is an index column or not
update_timeThe time of the update
distinct_countThe number of different values
null_countThe number of NULL
avg_col_sizeThe average length of columns
correlationThe Pearson correlation coefficient of the column and the integer primary key, which indicates the degree of association between the two columns

Buckets of histogram

You can use the SHOW STATS_BUCKETS statement to view each bucket of the histogram.

The syntax is as follows:

SHOW STATS_BUCKETS [ShowLikeOrWhere]

The diagram is as follows:

SHOW STATS_BUCKETS

This statement returns information about all the buckets. You can use ShowLikeOrWhere to filter the information you need.

Currently, the SHOW STATS_BUCKETS statement returns the following 11 columns:

Syntax ElementDescription
db_nameThe database name
table_nameThe table name
partition_nameThe partition name
column_nameThe column name (when is_index is 0) or the index name (when is_index is 1)
is_indexWhether it is an index column or not
bucket_idThe ID of a bucket
countThe number of all the values that falls on the bucket and the previous buckets
repeatsThe occurrence number of the maximum value
lower_boundThe minimum value
upper_boundThe maximum value
ndvThe number of different values in the bucket. When tidb_analyze_version = 1, ndv is always 0, which has no actual meaning.

Top-N information

You can use the SHOW STATS_TOPN statement to view the Top-N information currently collected by TiDB.

The syntax is as follows:

SHOW STATS_TOPN [ShowLikeOrWhere];

Currently, the SHOW STATS_TOPN statement returns the following 7 columns:

Syntax ElementDescription
db_nameThe database name
table_nameThe table name
partition_nameThe partition name
column_nameThe column name (when is_index is 0) or the index name (when is_index is 1)
is_indexWhether it is an index column or not
valueThe value of this column
countHow many times the value appears

Delete statistics

You can run the DROP STATS statement to delete statistics.

Syntax as follows:

DROP STATS TableName

The statement deletes statistics of all the tables in TableName.

Import and export statistics

Export statistics

The interface to export statistics is as follows:

  • To obtain the JSON format statistics of the ${table_name} table in the ${db_name} database:

    http://${tidb-server-ip}:${tidb-server-status-port}/stats/dump/${db_name}/${table_name}

    For example:

    curl -s http://127.0.0.1:10080/stats/dump/test/t1 -o /tmp/t1.json
  • To obtain the JSON format statistics of the ${table_name} table in the ${db_name} database at specific time:

    http://${tidb-server-ip}:${tidb-server-status-port}/stats/dump/${db_name}/${table_name}/${yyyyMMddHHmmss}

Import statistics

Generally, the imported statistics refer to the JSON file obtained using the export interface.

Syntax:

LOAD STATS 'file_name'

file_name is the file name of the statistics to be imported.

See also

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