Hi Xiangxin,

Thanks for the review.

On 9/27/26 17:44, Xiangxin Zeng wrote:
I reviewed v3 and applied it locally. The basic idea looks reasonable, but I
found a case where using path->jpath.path.rows is less accurate than the
existing approx_tuple_count().

Reproducer:

     create table p (k int primary key);
     insert into p select i from generate_series(1, 10000) i;

     create table f (id int primary key, k int references p(k));

     insert into f select i, null from generate_series(1, 5000) i;
     insert into f select 5000 + i, i from generate_series(1, 5000) i;

     create index f_k_idx on f(k);
     analyze p;
     analyze f;

     set enable_hashjoin = off;
     set enable_nestloop = off;

     explain (analyze, costs on, timing off, summary off)
     select count(*) from f join p on f.k = p.k;

With the unpatched build I see:

     Merge Join  (cost=0.57..688.57 rows=10000) (actual rows=5000)

With v3:

     Merge Join  (cost=0.57..738.57 rows=10000) (actual rows=5000)

The 50-cost delta matches 5000 extra tuples at the default cpu_tuple_cost of
0.01.  approx_tuple_count() accounts for the NULL fraction of f.k and estimates
5000 rows, while path.rows is inflated to 10000 by FK-based join selectivity.

+1. I get the same costs, and final_cost_mergejoin() shows path.rows = 10000 vs approx_tuple_count() = 5000. With the FK constraint dropped, both are 5000 and the costs are identical.


So I think JOIN_INNER plus:

     list_length(joinrestrictinfo) == list_length(merge/hashclauses)

is not sufficient.  path.rows may already include FK-specific selectivity.

Possible directions:

1. Avoid the substitution when FK selectivity has influenced the joinrel row
    estimate.

That would also undo the multi-column FK case upthread, which is the point of the patch.

2. Alternatively, fix FK selectivity to account for the referencing column's
    NULL fraction, though that seems like a separate change.

I went this way, since the wrong number comes from the FK estimate itself: even on master, EXPLAIN shows rows=10000 for your query. v4 is now a series:

0001 derates the FK-based selectivity by the fraction of referencing rows with a NULL in the FK columns, which removes the XXX in get_foreign_key_join_selectivity(). The two concerns from that comment clause of the referencing rel are skipped, so their NULLs are not counted twice. For multi-column FKs the largest per-column null fraction is used, since the columns are typically NULL together.

3. Add regression coverage for FK joins with NULLs, forced merge/hash joins,
    and uniqueified semijoins.

Patches only change run costs, which costs-off EXPLAIN doesn't show, and a test relying on a plan flip seems fragile; if you have a specific test in mind, I'd be glad to add it.


I also think the list-length check should have a comment explaining that
merge/hashclauses are assumed to be a subset of joinrestrictinfo.

0002 is v3 plus the comment you asked for.

If you find more familiar examples with inaccurate costs, don't hesitate to give them.

--
Best regards,
Ilia Evdokimov,
Tantor Labs LLC,
https://tantorlabs.com/
From 4fa968ab5f7b9163563a1de16e123b0675fd454d Mon Sep 17 00:00:00 2001
From: Evdokimov Ilia <[email protected]>
Date: Mon, 28 Sep 2026 15:49:36 +0500
Subject: [PATCH v4 2/2] Use exact join size estimate for plain inner
 merge/hash joins

For a plain inner join whose only join clauses are the merge/hash
clauses, path->jpath.path.rows is the number of tuples passing those
clauses, so final_cost_mergejoin()/final_cost_hashjoin() can use it
instead of recomputing an approximation via approx_tuple_count().  The
joinrel estimate is better when the clauses match a multi-column FK
constraint, since approx_tuple_count() treats them as independent.
For SEMI/LEFT/FULL joins path->jpath.path.rows is a different quantity,
so keep the substitution JOIN_INNER-only.
---
 src/backend/optimizer/path/costsize.c | 24 ++++++++++++++++++++++--
 1 file changed, 22 insertions(+), 2 deletions(-)

diff --git a/src/backend/optimizer/path/costsize.c b/src/backend/optimizer/path/costsize.c
index cd494d29cbb..ea300beaa2e 100644
--- a/src/backend/optimizer/path/costsize.c
+++ b/src/backend/optimizer/path/costsize.c
@@ -4062,8 +4062,20 @@ final_cost_mergejoin(PlannerInfo *root, MergePath *path,
 	/*
 	 * Get approx # tuples passing the mergequals.  We use approx_tuple_count
 	 * here because we need an estimate done with JOIN_INNER semantics.
+	 * However, for a plain inner join with no restriction clauses beyond the
+	 * mergeclauses, path->jpath.path.rows already gives an equally (or more)
+	 * accurate figure computed with JOIN_INNER semantics, so we reuse it and
+	 * skip the extra call.  (The mergeclauses are a subset of
+	 * joinrestrictinfo, so equal list lengths mean they are the same
+	 * clauses.)  For any other jointype, path->jpath.path.rows reflects that
+	 * jointype's own semantics (e.g. clamped to the outer/inner size for
+	 * LEFT/FULL joins), not JOIN_INNER, so it can't be substituted.
 	 */
-	mergejointuples = approx_tuple_count(root, &path->jpath, mergeclauses);
+	if (path->jpath.jointype == JOIN_INNER &&
+		list_length(path->jpath.joinrestrictinfo) == list_length(mergeclauses))
+		mergejointuples = path->jpath.path.rows;
+	else
+		mergejointuples = approx_tuple_count(root, &path->jpath, mergeclauses);
 
 	/*
 	 * When there are equal merge keys in the outer relation, the mergejoin
@@ -4704,7 +4716,12 @@ final_cost_hashjoin(PlannerInfo *root, HashPath *path,
 	 * inner_unique joins that is the matched outer rows, and for ANTI the
 	 * unmatched ones, both available from outer_matched_rows computed above.
 	 * For plain joins, use approx_tuple_count(), which gives an estimate done
-	 * with JOIN_INNER semantics.
+	 * with JOIN_INNER semantics -- except for a plain inner join with no
+	 * restriction clauses beyond the hashclauses, where path->jpath.path.rows
+	 * already gives an equally (or more) accurate JOIN_INNER-semantics figure
+	 * for free, and calling approx_tuple_count() again would be redundant.
+	 * (As in final_cost_mergejoin(), the hashclauses are a subset of
+	 * joinrestrictinfo, so equal list lengths mean they are the same.)
 	 */
 	if (path->jpath.jointype == JOIN_RIGHT_SEMI)
 		hashjointuples = clamp_row_est(inner_path_rows *
@@ -4716,6 +4733,9 @@ final_cost_hashjoin(PlannerInfo *root, HashPath *path,
 		hashjointuples = outer_path_rows - outer_matched_rows;
 	else if (path->jpath.jointype == JOIN_SEMI || extra->inner_unique)
 		hashjointuples = outer_matched_rows;
+	else if (path->jpath.jointype == JOIN_INNER &&
+			 list_length(path->jpath.joinrestrictinfo) == list_length(hashclauses))
+		hashjointuples = path->jpath.path.rows;
 	else
 		hashjointuples = approx_tuple_count(root, &path->jpath, hashclauses);
 
-- 
2.43.0

From 694c64bc50cd11f1e41eb110b3bcf0997edb50be Mon Sep 17 00:00:00 2001
From: Evdokimov Ilia <[email protected]>
Date: Mon, 28 Sep 2026 15:49:01 +0500
Subject: [PATCH v4 1/2] Account for NULLs in FK-based join selectivity

get_foreign_key_join_selectivity() assumes that each referencing row
matches exactly one row in the referenced table.  That's not true for
rows having a NULL in any of the referencing columns, which match
nothing, so the join size could be overestimated considerably: by 2x
when half of the referencing values are NULL.  The regular clause-based
estimate in eqjoinsel() does take the null fraction into account.

Derate the FK-based selectivity by the fraction of referencing rows with
a NULL in some FK column.  The XXX comment there gave two reasons for
not doing so, which are handled as follows.  Columns constrained by a
strict restriction clause of the referencing rel are skipped, since
their NULLs are already excluded from its row count.  For multi-column
FKs, take the largest per-column null fraction: that's exact when the
columns are NULL together, as is typical, and a lower bound otherwise.
---
 src/backend/optimizer/path/costsize.c | 70 +++++++++++++++++++++++----
 1 file changed, 61 insertions(+), 9 deletions(-)

diff --git a/src/backend/optimizer/path/costsize.c b/src/backend/optimizer/path/costsize.c
index 7bbddb8bee4..cd494d29cbb 100644
--- a/src/backend/optimizer/path/costsize.c
+++ b/src/backend/optimizer/path/costsize.c
@@ -88,12 +88,14 @@
 #include "access/amapi.h"
 #include "access/htup_details.h"
 #include "access/tsmapi.h"
+#include "catalog/pg_statistic.h"
 #include "executor/executor.h"
 #include "executor/nodeAgg.h"
 #include "executor/nodeHash.h"
 #include "executor/nodeMemoize.h"
 #include "miscadmin.h"
 #include "nodes/makefuncs.h"
+#include "nodes/multibitmapset.h"
 #include "nodes/nodeFuncs.h"
 #include "nodes/tidbitmap.h"
 #include "optimizer/clauses.h"
@@ -108,6 +110,7 @@
 #include "utils/lsyscache.h"
 #include "utils/selfuncs.h"
 #include "utils/spccache.h"
+#include "utils/syscache.h"
 #include "utils/tuplesort.h"
 
 
@@ -198,6 +201,8 @@ static Selectivity get_foreign_key_join_selectivity(PlannerInfo *root,
 													Relids inner_relids,
 													SpecialJoinInfo *sjinfo,
 													List **restrictlist);
+static Selectivity fkey_referencing_nullfrac(PlannerInfo *root,
+											 ForeignKeyOptInfo *fkinfo);
 static Cost append_nonpartial_cost(List *subpaths, int numpaths,
 								   int parallel_workers);
 static void set_rel_width(PlannerInfo *root, RelOptInfo *rel);
@@ -6051,15 +6056,9 @@ get_foreign_key_join_selectivity(PlannerInfo *root,
 		/*
 		 * Finally we get to the payoff: estimate selectivity using the
 		 * knowledge that each referencing row will match exactly one row in
-		 * the referenced table.
-		 *
-		 * XXX that's not true in the presence of nulls in the referencing
-		 * column(s), so in principle we should derate the estimate for those.
-		 * However (1) if there are any strict restriction clauses for the
-		 * referencing column(s) elsewhere in the query, derating here would
-		 * be double-counting the null fraction, and (2) it's not very clear
-		 * how to combine null fractions for multiple referencing columns. So
-		 * we do nothing for now about correcting for nulls.
+		 * the referenced table.  That's not true for referencing rows with
+		 * nulls in the FK columns, which match nothing; we derate the
+		 * estimate for those below.
 		 *
 		 * XXX another point here is that if either side of an FK constraint
 		 * is an inheritance parent, we estimate as though the constraint
@@ -6102,6 +6101,9 @@ get_foreign_key_join_selectivity(PlannerInfo *root,
 			fkselec *= 1.0 / ref_tuples;
 		}
 
+		/* Referencing rows with nulls in the FK columns have no match */
+		fkselec *= 1.0 - fkey_referencing_nullfrac(root, fkinfo);
+
 		/*
 		 * If any of the FK columns participated in ec_has_const ECs, then
 		 * equivclass.c will have generated "var = const" restrictions for
@@ -6147,6 +6149,56 @@ get_foreign_key_join_selectivity(PlannerInfo *root,
 	return fkselec;
 }
 
+/*
+ * fkey_referencing_nullfrac
+ *		Estimate the fraction of the referencing rel's rows that have a null
+ *		in at least one of the FK columns.
+ *
+ * Columns constrained by a strict restriction clause of the referencing rel
+ * are skipped: their nulls are already excluded from the rel's row count, so
+ * counting them again here would underestimate the join size.  For the
+ * remaining columns we take the largest null fraction.  That's exact when
+ * the columns are null together, as is typical for multi-column FKs, and
+ * otherwise it's a lower bound.
+ */
+static Selectivity
+fkey_referencing_nullfrac(PlannerInfo *root, ForeignKeyOptInfo *fkinfo)
+{
+	RelOptInfo *con_rel = find_base_rel(root, fkinfo->con_relid);
+	RangeTblEntry *rte = planner_rt_fetch(fkinfo->con_relid, root);
+	List	   *nonnullable_vars = NIL;
+	Selectivity nullfrac = 0.0;
+
+	foreach_node(RestrictInfo, rinfo, con_rel->baserestrictinfo)
+		nonnullable_vars =
+			mbms_add_members(nonnullable_vars,
+							 find_nonnullable_vars((Node *) rinfo->clause));
+
+	for (int i = 0; i < fkinfo->nkeys; i++)
+	{
+		AttrNumber	attno = fkinfo->conkey[i];
+		HeapTuple	tup;
+
+		if (mbms_is_member(fkinfo->con_relid,
+						   attno - FirstLowInvalidHeapAttributeNumber,
+						   nonnullable_vars))
+			continue;
+
+		tup = SearchSysCache3(STATRELATTINH,
+							  ObjectIdGetDatum(rte->relid),
+							  Int16GetDatum(attno),
+							  BoolGetDatum(rte->inh));
+		if (HeapTupleIsValid(tup))
+		{
+			nullfrac = Max(nullfrac,
+						   ((Form_pg_statistic) GETSTRUCT(tup))->stanullfrac);
+			ReleaseSysCache(tup);
+		}
+	}
+
+	return nullfrac;
+}
+
 /*
  * set_subquery_size_estimates
  *		Set the size estimates for a base relation that is a subquery.
-- 
2.43.0

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