diff --git a/src/test/regress/expected/timestamp.out b/src/test/regress/expected/timestamp.out
index 3ff048983d..f1e17be28d 100644
--- a/src/test/regress/expected/timestamp.out
+++ b/src/test/regress/expected/timestamp.out
@@ -5,20 +5,9 @@ CREATE TABLE TIMESTAMP_TBL (d1 timestamp(2) without time zone);
 -- Test shorthand input values
 -- We can't just "select" the results since they aren't constants; test for
 -- equality instead.  We can do that by running the test inside a transaction
--- block, within which the value of 'now' shouldn't change.  We also check
--- that 'now' *does* change over a reasonable interval such as 100 msec.
--- NOTE: it is possible for this part of the test to fail if the transaction
--- block is entered exactly at local midnight; then 'now' and 'today' have
--- the same values and the counts will come out different.
-INSERT INTO TIMESTAMP_TBL VALUES ('now');
-SELECT pg_sleep(0.1);
- pg_sleep 
-----------
- 
-(1 row)
-
+-- block, within which the value of 'now' shouldn't change, and so these
+-- related values shouldn't either.
 BEGIN;
-INSERT INTO TIMESTAMP_TBL VALUES ('now');
 INSERT INTO TIMESTAMP_TBL VALUES ('today');
 INSERT INTO TIMESTAMP_TBL VALUES ('yesterday');
 INSERT INTO TIMESTAMP_TBL VALUES ('tomorrow');
@@ -43,15 +32,17 @@ SELECT count(*) AS One FROM TIMESTAMP_TBL WHERE d1 = timestamp without time zone
    1
 (1 row)
 
-SELECT count(*) AS One FROM TIMESTAMP_TBL WHERE d1 = timestamp(2) without time zone 'now';
- one 
------
-   1
-(1 row)
-
 COMMIT;
 DELETE FROM TIMESTAMP_TBL;
--- verify uniform transaction time within transaction block
+-- Verify that 'now' *does* change over a reasonable interval such as 100 msec,
+-- and that it doesn't change over the same interval within a transaction block
+INSERT INTO TIMESTAMP_TBL VALUES ('now');
+SELECT pg_sleep(0.1);
+ pg_sleep 
+----------
+ 
+(1 row)
+
 BEGIN;
 INSERT INTO TIMESTAMP_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
@@ -73,8 +64,14 @@ SELECT count(*) AS two FROM TIMESTAMP_TBL WHERE d1 = timestamp(2) without time z
    2
 (1 row)
 
+SELECT count(d1) AS three, count(DISTINCT d1) AS two FROM TIMESTAMP_TBL;
+ three | two 
+-------+-----
+     3 |   2
+(1 row)
+
 COMMIT;
-DELETE FROM TIMESTAMP_TBL;
+TRUNCATE TIMESTAMP_TBL;
 -- Special values
 INSERT INTO TIMESTAMP_TBL VALUES ('-infinity');
 INSERT INTO TIMESTAMP_TBL VALUES ('infinity');
diff --git a/src/test/regress/expected/timestamptz.out b/src/test/regress/expected/timestamptz.out
index 80d62ee658..669d6ad061 100644
--- a/src/test/regress/expected/timestamptz.out
+++ b/src/test/regress/expected/timestamptz.out
@@ -5,20 +5,9 @@ CREATE TABLE TIMESTAMPTZ_TBL (d1 timestamp(2) with time zone);
 -- Test shorthand input values
 -- We can't just "select" the results since they aren't constants; test for
 -- equality instead.  We can do that by running the test inside a transaction
--- block, within which the value of 'now' shouldn't change.  We also check
--- that 'now' *does* change over a reasonable interval such as 100 msec.
--- NOTE: it is possible for this part of the test to fail if the transaction
--- block is entered exactly at local midnight; then 'now' and 'today' have
--- the same values and the counts will come out different.
-INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
-SELECT pg_sleep(0.1);
- pg_sleep 
-----------
- 
-(1 row)
-
+-- block, within which the value of 'now' shouldn't change, and so these
+-- related values shouldn't either.
 BEGIN;
-INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('today');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('yesterday');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('tomorrow');
@@ -42,7 +31,13 @@ SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone
    1
 (1 row)
 
-SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp(2) with time zone 'now';
+SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'tomorrow EST';
+ one 
+-----
+   1
+(1 row)
+
+SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'tomorrow zulu';
  one 
 -----
    1
@@ -50,7 +45,15 @@ SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp(2) with time zo
 
 COMMIT;
 DELETE FROM TIMESTAMPTZ_TBL;
--- verify uniform transaction time within transaction block
+-- Verify that 'now' *does* change over a reasonable interval such as 100 msec,
+-- and that it doesn't change over the same interval within a transaction block
+INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
+SELECT pg_sleep(0.1);
+ pg_sleep 
+----------
+ 
+(1 row)
+
 BEGIN;
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
@@ -72,8 +75,14 @@ SELECT count(*) AS two FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp(2) with time zo
    2
 (1 row)
 
+SELECT count(d1) AS three, count(DISTINCT d1) AS two FROM TIMESTAMPTZ_TBL;
+ three | two 
+-------+-----
+     3 |   2
+(1 row)
+
 COMMIT;
-DELETE FROM TIMESTAMPTZ_TBL;
+TRUNCATE TIMESTAMPTZ_TBL;
 -- Special values
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('-infinity');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('infinity');
diff --git a/src/test/regress/sql/timestamp.sql b/src/test/regress/sql/timestamp.sql
index c3f2dea516..9f3f0bbb4f 100644
--- a/src/test/regress/sql/timestamp.sql
+++ b/src/test/regress/sql/timestamp.sql
@@ -7,18 +7,11 @@ CREATE TABLE TIMESTAMP_TBL (d1 timestamp(2) without time zone);
 -- Test shorthand input values
 -- We can't just "select" the results since they aren't constants; test for
 -- equality instead.  We can do that by running the test inside a transaction
--- block, within which the value of 'now' shouldn't change.  We also check
--- that 'now' *does* change over a reasonable interval such as 100 msec.
--- NOTE: it is possible for this part of the test to fail if the transaction
--- block is entered exactly at local midnight; then 'now' and 'today' have
--- the same values and the counts will come out different.
-
-INSERT INTO TIMESTAMP_TBL VALUES ('now');
-SELECT pg_sleep(0.1);
+-- block, within which the value of 'now' shouldn't change, and so these
+-- related values shouldn't either.
 
 BEGIN;
 
-INSERT INTO TIMESTAMP_TBL VALUES ('now');
 INSERT INTO TIMESTAMP_TBL VALUES ('today');
 INSERT INTO TIMESTAMP_TBL VALUES ('yesterday');
 INSERT INTO TIMESTAMP_TBL VALUES ('tomorrow');
@@ -29,22 +22,27 @@ INSERT INTO TIMESTAMP_TBL VALUES ('tomorrow zulu');
 SELECT count(*) AS One FROM TIMESTAMP_TBL WHERE d1 = timestamp without time zone 'today';
 SELECT count(*) AS Three FROM TIMESTAMP_TBL WHERE d1 = timestamp without time zone 'tomorrow';
 SELECT count(*) AS One FROM TIMESTAMP_TBL WHERE d1 = timestamp without time zone 'yesterday';
-SELECT count(*) AS One FROM TIMESTAMP_TBL WHERE d1 = timestamp(2) without time zone 'now';
 
 COMMIT;
 
 DELETE FROM TIMESTAMP_TBL;
 
--- verify uniform transaction time within transaction block
+-- Verify that 'now' *does* change over a reasonable interval such as 100 msec,
+-- and that it doesn't change over the same interval within a transaction block
+
+INSERT INTO TIMESTAMP_TBL VALUES ('now');
+SELECT pg_sleep(0.1);
+
 BEGIN;
 INSERT INTO TIMESTAMP_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
 INSERT INTO TIMESTAMP_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
 SELECT count(*) AS two FROM TIMESTAMP_TBL WHERE d1 = timestamp(2) without time zone 'now';
+SELECT count(d1) AS three, count(DISTINCT d1) AS two FROM TIMESTAMP_TBL;
 COMMIT;
 
-DELETE FROM TIMESTAMP_TBL;
+TRUNCATE TIMESTAMP_TBL;
 
 -- Special values
 INSERT INTO TIMESTAMP_TBL VALUES ('-infinity');
diff --git a/src/test/regress/sql/timestamptz.sql b/src/test/regress/sql/timestamptz.sql
index 2c9c7aece6..7ac2386046 100644
--- a/src/test/regress/sql/timestamptz.sql
+++ b/src/test/regress/sql/timestamptz.sql
@@ -7,18 +7,11 @@ CREATE TABLE TIMESTAMPTZ_TBL (d1 timestamp(2) with time zone);
 -- Test shorthand input values
 -- We can't just "select" the results since they aren't constants; test for
 -- equality instead.  We can do that by running the test inside a transaction
--- block, within which the value of 'now' shouldn't change.  We also check
--- that 'now' *does* change over a reasonable interval such as 100 msec.
--- NOTE: it is possible for this part of the test to fail if the transaction
--- block is entered exactly at local midnight; then 'now' and 'today' have
--- the same values and the counts will come out different.
-
-INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
-SELECT pg_sleep(0.1);
+-- block, within which the value of 'now' shouldn't change, and so these
+-- related values shouldn't either.
 
 BEGIN;
 
-INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('today');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('yesterday');
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('tomorrow');
@@ -28,22 +21,29 @@ INSERT INTO TIMESTAMPTZ_TBL VALUES ('tomorrow zulu');
 SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'today';
 SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'tomorrow';
 SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'yesterday';
-SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp(2) with time zone 'now';
+SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'tomorrow EST';
+SELECT count(*) AS One FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp with time zone 'tomorrow zulu';
 
 COMMIT;
 
 DELETE FROM TIMESTAMPTZ_TBL;
 
--- verify uniform transaction time within transaction block
+-- Verify that 'now' *does* change over a reasonable interval such as 100 msec,
+-- and that it doesn't change over the same interval within a transaction block
+
+INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
+SELECT pg_sleep(0.1);
+
 BEGIN;
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('now');
 SELECT pg_sleep(0.1);
 SELECT count(*) AS two FROM TIMESTAMPTZ_TBL WHERE d1 = timestamp(2) with time zone 'now';
+SELECT count(d1) AS three, count(DISTINCT d1) AS two FROM TIMESTAMPTZ_TBL;
 COMMIT;
 
-DELETE FROM TIMESTAMPTZ_TBL;
+TRUNCATE TIMESTAMPTZ_TBL;
 
 -- Special values
 INSERT INTO TIMESTAMPTZ_TBL VALUES ('-infinity');