diff --git a/src/backend/executor/nodeHash.c b/src/backend/executor/nodeHash.c
index ce1fa4a9917..0c3570f2653 100644
--- a/src/backend/executor/nodeHash.c
+++ b/src/backend/executor/nodeHash.c
@@ -509,6 +509,9 @@ ExecChooseHashTableSize(double ntuples, int tupwidth, bool useskew,
 		i++;
 	nbuckets = (1 << i);
 
+	Assert(nbuckets > 0);
+	Assert(nbatch > 0);
+
 	*numbuckets = nbuckets;
 	*numbatches = nbatch;
 }
diff --git a/src/backend/optimizer/plan/planmain.c b/src/backend/optimizer/plan/planmain.c
index 16d3af32ed0..6647640b385 100644
--- a/src/backend/optimizer/plan/planmain.c
+++ b/src/backend/optimizer/plan/planmain.c
@@ -356,7 +356,7 @@ query_planner(PlannerInfo *root, List *tlist,
 		 * can be divided by the number of tuples.
 		 */
 		if (tuple_fraction >= 1.0)
-			tuple_fraction /= final_rel->rows;
+			tuple_fraction /= clamp_row_est(final_rel->rows);
 	}
 
 	/*
diff --git a/src/backend/optimizer/plan/planner.c b/src/backend/optimizer/plan/planner.c
index 0bb8d20d8e6..300fbcec163 100644
--- a/src/backend/optimizer/plan/planner.c
+++ b/src/backend/optimizer/plan/planner.c
@@ -1295,11 +1295,14 @@ grouping_planner(PlannerInfo *root, double tuple_fraction)
 		/*
 		 * Extract rowcount and width estimates for possible use in grouping
 		 * decisions.  Beware here of the possibility that
-		 * cheapest_path->parent is NULL (ie, there is no FROM clause).
+		 * cheapest_path->parent is NULL (ie, there is no FROM clause).  Also,
+		 * if the final rel has been proven dummy, its rows estimate will be
+		 * zero; clamp it to one to avoid zero-divide in subsequent
+		 * calculations.
 		 */
 		if (cheapest_path->parent)
 		{
-			path_rows = cheapest_path->parent->rows;
+			path_rows = clamp_row_est(cheapest_path->parent->rows);
 			path_width = cheapest_path->parent->width;
 		}
 		else
diff --git a/src/backend/utils/adt/selfuncs.c b/src/backend/utils/adt/selfuncs.c
index cc93fd5a44e..d18f8bf5155 100644
--- a/src/backend/utils/adt/selfuncs.c
+++ b/src/backend/utils/adt/selfuncs.c
@@ -4622,8 +4622,8 @@ examine_simple_variable(PlannerInfo *root, Var *var,
  * *isdefault: set to TRUE if the result is a default rather than based on
  * anything meaningful.
  *
- * NB: be careful to produce an integral result, since callers may compare
- * the result to exact integer counts.
+ * NB: be careful to produce a positive integral result, since callers may
+ * compare the result to exact integer counts, or might divide by it.
  */
 double
 get_variable_numdistinct(VariableStatData *vardata, bool *isdefault)
@@ -4699,7 +4699,7 @@ get_variable_numdistinct(VariableStatData *vardata, bool *isdefault)
 	 * If we had an absolute estimate, use that.
 	 */
 	if (stadistinct > 0.0)
-		return stadistinct;
+		return clamp_row_est(stadistinct);
 
 	/*
 	 * Otherwise we need to get the relation size; punt if not available.
@@ -4720,7 +4720,7 @@ get_variable_numdistinct(VariableStatData *vardata, bool *isdefault)
 	 * If we had a relative estimate, use that.
 	 */
 	if (stadistinct < 0.0)
-		return floor((-stadistinct * ntuples) + 0.5);
+		return clamp_row_est(-stadistinct * ntuples);
 
 	/*
 	 * With no data, estimate ndistinct = ntuples if the table is small, else
@@ -4728,7 +4728,7 @@ get_variable_numdistinct(VariableStatData *vardata, bool *isdefault)
 	 * that the behavior isn't discontinuous.
 	 */
 	if (ntuples < DEFAULT_NUM_DISTINCT)
-		return ntuples;
+		return clamp_row_est(ntuples);
 
 	*isdefault = true;
 	return DEFAULT_NUM_DISTINCT;