Cleaned up and attached as a .patch.

The patch implementing autoanalyze on partitioned tables should revert relevant
portions of this patch.
>From cec31df3772ca51bbf14ebee207bcfd22e498073 Mon Sep 17 00:00:00 2001
From: Justin Pryzby <pryz...@telsasoft.com>
Date: Thu, 22 Jul 2021 16:06:18 -0500
Subject: [PATCH] documentation deficiencies for ANALYZE of partitioned tables

This is partially extracted from 1b5617eb844cd2470a334c1d2eec66cf9b39c41a,
which was reverted.
---
 doc/src/sgml/maintenance.sgml | 27 ++++++++++++++++++++++++++
 doc/src/sgml/perform.sgml     |  2 ++
 doc/src/sgml/ref/analyze.sgml | 36 ++++++++++++++++++++++-------------
 3 files changed, 52 insertions(+), 13 deletions(-)

diff --git a/doc/src/sgml/maintenance.sgml b/doc/src/sgml/maintenance.sgml
index 36f975b1e5..b7c806cc90 100644
--- a/doc/src/sgml/maintenance.sgml
+++ b/doc/src/sgml/maintenance.sgml
@@ -290,6 +290,14 @@
     to meaningful statistical changes.
    </para>
 
+   <para>
+    Tuples changed in partitions and inheritance children do not count towards
+    analyze on the parent table.  If the parent table is empty or rarely
+    changed, it may never be processed by autovacuum.  It is necessary to
+    periodically manual run <command>ANALYZE</command> on the parent table to
+    keep the statistics of its table hierarchy up to date.
+   </para>
+
    <para>
     As with vacuuming for space recovery, frequent updates of statistics
     are more useful for heavily-updated tables than for seldom-updated
@@ -347,6 +355,18 @@
      <command>ANALYZE</command> commands on those tables on a suitable schedule.
     </para>
    </tip>
+
+   <tip>
+    <para>
+     The autovacuum daemon does not issue <command>ANALYZE</command> commands for
+     partitioned tables.  Inheritance parents will only be analyzed if the
+     parent itself is changed - changes to child tables do not trigger
+     autoanalyze on the parent table.  It is necessary to periodically run a
+     manual <command>ANALYZE</command> to keep the statistics of the table
+     hierarchy up to date.
+    </para>
+   </tip>
+
   </sect2>
 
   <sect2 id="vacuum-for-visibility-map">
@@ -819,6 +839,13 @@ analyze threshold = analyze base threshold + analyze scale factor * number of tu
     since the last <command>ANALYZE</command>.
    </para>
 
+   <para>
+    Partitioned tables are not processed by autovacuum.  Statistics
+    should be collected by running a manual <command>ANALYZE</command> when it is
+    first populated, and updated whenever the distribution of data in its
+    partitions changes significantly.
+   </para>
+
    <para>
     Temporary tables cannot be accessed by autovacuum.  Therefore,
     appropriate vacuum and analyze operations should be performed via
diff --git a/doc/src/sgml/perform.sgml b/doc/src/sgml/perform.sgml
index 9cf8ebea80..caf703129d 100644
--- a/doc/src/sgml/perform.sgml
+++ b/doc/src/sgml/perform.sgml
@@ -1765,9 +1765,11 @@ SELECT * FROM x, y, a, b, c WHERE something AND somethingelse;
    <title>Run <command>ANALYZE</command> Afterwards</title>
 
    <para>
+
     Whenever you have significantly altered the distribution of data
     within a table, running <link linkend="sql-analyze"><command>ANALYZE</command></link> is strongly recommended. This
     includes bulk loading large amounts of data into the table.  Running
+
     <command>ANALYZE</command> (or <command>VACUUM ANALYZE</command>)
     ensures that the planner has up-to-date statistics about the
     table.  With no statistics or obsolete statistics, the planner might
diff --git a/doc/src/sgml/ref/analyze.sgml b/doc/src/sgml/ref/analyze.sgml
index c423aeeea5..9a904262df 100644
--- a/doc/src/sgml/ref/analyze.sgml
+++ b/doc/src/sgml/ref/analyze.sgml
@@ -250,22 +250,32 @@ ANALYZE [ VERBOSE ] [ <replaceable class="parameter">table_and_columns</replacea
   </para>
 
   <para>
-    If the table being analyzed has one or more children,
-    <command>ANALYZE</command> will gather statistics twice: once on the
-    rows of the parent table only, and a second time on the rows of the
-    parent table with all of its children.  This second set of statistics
-    is needed when planning queries that traverse the entire inheritance
-    tree.  The autovacuum daemon, however, will only consider inserts or
-    updates on the parent table itself when deciding whether to trigger an
-    automatic analyze for that table.  If that table is rarely inserted into
-    or updated, the inheritance statistics will not be up to date unless you
-    run <command>ANALYZE</command> manually.
+    If the table being analyzed is partitioned, <command>ANALYZE</command>
+    will gather statistics by sampling blocks randomly from its partitions;
+    in addition, it will recurse into each partition and update its statistics.
+    (However, in multi-level partitioning scenarios, each leaf partition
+    will only be analyzed once.)
+    By constrast, if the table being analyzed has inheritance children,
+    <command>ANALYZE</command> will gather statistics for it twice:
+    once on the rows of the parent table only, and a second time on the
+    rows of the parent table with all of its children.  This second set of
+    statistics is needed when planning queries that traverse the entire
+    inheritance tree.  The child tables themselves are not individually
+    analyzed in this case.
   </para>
 
   <para>
-    If any of the child tables are foreign tables whose foreign data wrappers
-    do not support <command>ANALYZE</command>, those child tables are ignored while
-    gathering inheritance statistics.
+    The autovacuum daemon does not process partitioned tables, nor does it
+    process inheritance parents due to modifications to its child tables.
+    It is usually necessary to periodically run a manual
+    <command>ANALYZE</command> to keep the statistics of the table hierarchy
+    up to date.  See...
+  </para>
+
+  <para>
+    If any child tables or partitions are foreign tables whose foreign
+    data wrappers do not support <command>ANALYZE</command>, those tables are
+    ignored while gathering inheritance statistics.
   </para>
 
   <para>
-- 
2.17.0

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