Hi,

Statistics for range types are not currently exposed in pg_stats view (i.e. STATISTIC_KIND_RANGE_LENGTH_HISTOGRAM and STATISTIC_KIND_BOUNDS_HISTOGRAM).

Shouldn't they? If so, here is a patch for adding them.

The following is a simple example of what it looks like:

CREATE TABLE test(r int4range);
INSERT INTO test
    SELECT int4range((random()*10)::integer,(10+random()*10)::integer)
    FROM generate_series(1,10000);
SET default_statistics_target = 10;
ANALYZE test;

SELECT range_length_histogram, range_length_empty_frac, range_bounds_histogram
FROM pg_stats
WHERE tablename = 'test' \gx

-[ RECORD 1 ]-----------+------------------------------------------------------------------------------------------------------
range_length_histogram  | {1,4,6,8,9,10,11,12,14,16,20}
range_length_empty_frac | {0.0036666666}
range_bounds_histogram  | {"[0,10)","[1,11)","[2,12)","[3,13)","[4,14)","[5,15)","[6,16)","[7,17)","[8,18)","[9,19)","[10,20)"}


Regards,
Egor Rogov.

diff --git a/doc/src/sgml/catalogs.sgml b/doc/src/sgml/catalogs.sgml
index f517a7d4af..4d037b590e 100644
--- a/doc/src/sgml/catalogs.sgml
+++ b/doc/src/sgml/catalogs.sgml
@@ -12877,6 +12877,36 @@ SELECT * FROM pg_locks pl LEFT JOIN pg_prepared_xacts 
ppx
        non-null elements.  (Null for scalar types.)
       </para></entry>
      </row>
+
+     <row>
+      <entry role="catalog_table_entry"><para role="column_definition">
+       <structfield>range_length_histogram</structfield> <type>anyarray</type>
+      </para>
+      <para>
+       A histogram of lengths of non-empty, non-null ranges.
+       (Null for non-range types.)
+      </para></entry>
+     </row>
+
+     <row>
+      <entry role="catalog_table_entry"><para role="column_definition">
+       <structfield>range_length_empty_frac</structfield> <type>float4</type>
+      </para>
+      <para>
+       A fraction of empty ranges.  (Null for non-range types.)
+      </para></entry>
+     </row>
+
+     <row>
+      <entry role="catalog_table_entry"><para role="column_definition">
+       <structfield>range_bounds_histogram</structfield> <type>anyarray</type>
+      </para>
+      <para>
+       Histograms of lower and upper bounds of non-empty, non-null ranges,
+       combined into a single array of range values.
+       (Null for non-range types.)
+      </para></entry>
+     </row>
     </tbody>
    </tgroup>
   </table>
diff --git a/src/backend/catalog/system_views.sql 
b/src/backend/catalog/system_views.sql
index 999d984068..93fadfff15 100644
--- a/src/backend/catalog/system_views.sql
+++ b/src/backend/catalog/system_views.sql
@@ -243,7 +243,28 @@ CREATE VIEW pg_stats WITH (security_barrier) AS
             WHEN stakind3 = 5 THEN stanumbers3
             WHEN stakind4 = 5 THEN stanumbers4
             WHEN stakind5 = 5 THEN stanumbers5
-        END AS elem_count_histogram
+        END AS elem_count_histogram,
+        CASE
+            WHEN stakind1 = 6 THEN stavalues1
+            WHEN stakind2 = 6 THEN stavalues2
+            WHEN stakind3 = 6 THEN stavalues3
+            WHEN stakind4 = 6 THEN stavalues4
+            WHEN stakind5 = 6 THEN stavalues5
+        END AS range_length_histogram,
+        CASE
+            WHEN stakind1 = 6 THEN stanumbers1[1]
+            WHEN stakind2 = 6 THEN stanumbers2[1]
+            WHEN stakind3 = 6 THEN stanumbers3[1]
+            WHEN stakind4 = 6 THEN stanumbers4[1]
+            WHEN stakind5 = 6 THEN stanumbers5[1]
+        END AS range_length_empty_frac,
+        CASE
+            WHEN stakind1 = 7 THEN stavalues1
+            WHEN stakind2 = 7 THEN stavalues2
+            WHEN stakind3 = 7 THEN stavalues3
+            WHEN stakind4 = 7 THEN stavalues4
+            WHEN stakind5 = 7 THEN stavalues5
+        END AS range_bounds_histogram
     FROM pg_statistic s JOIN pg_class c ON (c.oid = s.starelid)
          JOIN pg_attribute a ON (c.oid = attrelid AND attnum = s.staattnum)
          LEFT JOIN pg_namespace n ON (n.oid = c.relnamespace)
diff --git a/src/test/regress/expected/rules.out 
b/src/test/regress/expected/rules.out
index e5ab11275d..780aefdc26 100644
--- a/src/test/regress/expected/rules.out
+++ b/src/test/regress/expected/rules.out
@@ -2409,7 +2409,31 @@ pg_stats| SELECT n.nspname AS schemaname,
             WHEN (s.stakind4 = 5) THEN s.stanumbers4
             WHEN (s.stakind5 = 5) THEN s.stanumbers5
             ELSE NULL::real[]
-        END AS elem_count_histogram
+        END AS elem_count_histogram,
+        CASE
+            WHEN (s.stakind1 = 6) THEN s.stavalues1
+            WHEN (s.stakind2 = 6) THEN s.stavalues2
+            WHEN (s.stakind3 = 6) THEN s.stavalues3
+            WHEN (s.stakind4 = 6) THEN s.stavalues4
+            WHEN (s.stakind5 = 6) THEN s.stavalues5
+            ELSE NULL::anyarray
+        END AS range_length_histogram,
+        CASE
+            WHEN (s.stakind1 = 6) THEN s.stanumbers1[1]
+            WHEN (s.stakind2 = 6) THEN s.stanumbers2[1]
+            WHEN (s.stakind3 = 6) THEN s.stanumbers3[1]
+            WHEN (s.stakind4 = 6) THEN s.stanumbers4[1]
+            WHEN (s.stakind5 = 6) THEN s.stanumbers5[1]
+            ELSE NULL::real
+        END AS range_length_empty_frac,
+        CASE
+            WHEN (s.stakind1 = 7) THEN s.stavalues1
+            WHEN (s.stakind2 = 7) THEN s.stavalues2
+            WHEN (s.stakind3 = 7) THEN s.stavalues3
+            WHEN (s.stakind4 = 7) THEN s.stavalues4
+            WHEN (s.stakind5 = 7) THEN s.stavalues5
+            ELSE NULL::anyarray
+        END AS range_bounds_histogram
    FROM (((pg_statistic s
      JOIN pg_class c ON ((c.oid = s.starelid)))
      JOIN pg_attribute a ON (((c.oid = a.attrelid) AND (a.attnum = 
s.staattnum))))

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