diff --git a/src/backend/utils/adt/bytea.c b/src/backend/utils/adt/bytea.c
index f83bbfb9ca0..da32f9c53c6 100644
--- a/src/backend/utils/adt/bytea.c
+++ b/src/backend/utils/adt/bytea.c
@@ -1110,17 +1110,12 @@ bytea_abbrev_convert(Datum original, SortSupport ssup)
 								   Min(len, PG_CACHE_LINE_SIZE)));
 
 	if (len > PG_CACHE_LINE_SIZE)
-		hash ^= DatumGetUInt32(hash_uint32((uint32) len));
+		hash ^= murmurhash32((uint32) len);
 
 	addHyperLogLog(&bss->full_card, hash);
 
 	/* Hash abbreviated key */
-	{
-		uint32		tmp;
-
-		tmp = DatumGetUInt32(res) ^ (uint32) (DatumGetUInt64(res) >> 32);
-		hash = DatumGetUInt32(hash_uint32(tmp));
-	}
+	hash = (uint32) murmurhash64(DatumGetUInt64(res));
 
 	addHyperLogLog(&bss->abbr_card, hash);
 
diff --git a/src/backend/utils/adt/network.c b/src/backend/utils/adt/network.c
index 1702f717e71..52a3540cf9e 100644
--- a/src/backend/utils/adt/network.c
+++ b/src/backend/utils/adt/network.c
@@ -738,13 +738,8 @@ network_abbrev_convert(Datum original, SortSupport ssup)
 
 	/* Hash abbreviated key */
 	if (uss->estimating)
-	{
-		uint32		tmp;
-
-		tmp = DatumGetUInt32(res) ^ (uint32) (DatumGetUInt64(res) >> 32);
-
-		addHyperLogLog(&uss->abbr_card, DatumGetUInt32(hash_uint32(tmp)));
-	}
+		addHyperLogLog(&uss->abbr_card,
+					   (uint32) murmurhash64(DatumGetUInt64(res)));
 
 	return res;
 }
diff --git a/src/backend/utils/adt/numeric.c b/src/backend/utils/adt/numeric.c
index 37f24e33857..238f2e89f1d 100644
--- a/src/backend/utils/adt/numeric.c
+++ b/src/backend/utils/adt/numeric.c
@@ -2404,12 +2404,8 @@ numeric_abbrev_convert_var(const NumericVar *var, NumericSortSupport *nss)
 		result = -result;
 
 	if (nss->estimating)
-	{
-		uint32		tmp = ((uint32) result
-						   ^ (uint32) ((uint64) result >> 32));
-
-		addHyperLogLog(&nss->abbr_card, DatumGetUInt32(hash_uint32(tmp)));
-	}
+		addHyperLogLog(&nss->abbr_card,
+					   (uint32) murmurhash64((uint64) result));
 
 	return NumericAbbrevGetDatum(result);
 }
diff --git a/src/backend/utils/adt/uuid.c b/src/backend/utils/adt/uuid.c
index c019e17f21b..49e59e7c75a 100644
--- a/src/backend/utils/adt/uuid.c
+++ b/src/backend/utils/adt/uuid.c
@@ -521,13 +521,8 @@ uuid_abbrev_convert(Datum original, SortSupport ssup)
 	uss->input_count += 1;
 
 	if (uss->estimating)
-	{
-		uint32		tmp;
-
-		tmp = DatumGetUInt32(res) ^ (uint32) (DatumGetUInt64(res) >> 32);
-
-		addHyperLogLog(&uss->abbr_card, DatumGetUInt32(hash_uint32(tmp)));
-	}
+		addHyperLogLog(&uss->abbr_card,
+					   (uint32) murmurhash64(DatumGetUInt64(res)));
 
 	/*
 	 * Byteswap on little-endian machines.
diff --git a/src/backend/utils/adt/varlena.c b/src/backend/utils/adt/varlena.c
index 01cc61c5778..910fc24313b 100644
--- a/src/backend/utils/adt/varlena.c
+++ b/src/backend/utils/adt/varlena.c
@@ -2158,17 +2158,12 @@ varstr_abbrev_convert(Datum original, SortSupport ssup)
 								   Min(len, PG_CACHE_LINE_SIZE)));
 
 	if (len > PG_CACHE_LINE_SIZE)
-		hash ^= DatumGetUInt32(hash_uint32((uint32) len));
+		hash ^= murmurhash32((uint32) len);
 
 	addHyperLogLog(&sss->full_card, hash);
 
 	/* Hash abbreviated key */
-	{
-		uint32		tmp;
-
-		tmp = DatumGetUInt32(res) ^ (uint32) (DatumGetUInt64(res) >> 32);
-		hash = DatumGetUInt32(hash_uint32(tmp));
-	}
+	hash = (uint32) murmurhash64(DatumGetUInt64(res));
 
 	addHyperLogLog(&sss->abbr_card, hash);