diff --git a/mysql-test/r/events_logs_tests.result b/mysql-test/r/events_logs_tests.result
index e6ca3c29e9b27821cb738189fa7bfc93ab6d3167..ab1666fefb98cb1be939768929c3d93d36e26766 100644
--- a/mysql-test/r/events_logs_tests.result
+++ b/mysql-test/r/events_logs_tests.result
@@ -43,7 +43,7 @@ SLEEP(3)
 0
 SELECT user_host, query_time, db, sql_text FROM mysql.slow_log;
 user_host	query_time	db	sql_text
-root[root] @ localhost []	00:00:03	events_test	SELECT SLEEP(3)
+root[root] @ localhost []	SLEEPVAL	events_test	SELECT SLEEP(3)
 TRUNCATE mysql.slow_log;
 CREATE TABLE slow_event_test (slo_val tinyint, val tinyint);
 "This won't go to the slow log"
@@ -75,7 +75,7 @@ slo_val	val
 "Check slow log. Should see 1 row because 5 is over the threshold of 4 for GLOBAL, though under SESSION which is 10"
 SELECT user_host, query_time, db, sql_text FROM mysql.slow_log;
 user_host	query_time	db	sql_text
-root[root] @ localhost [localhost]	00:00:05	events_test	INSERT INTO slow_event_test SELECT @@long_query_time, SLEEP(5)
+root[root] @ localhost [localhost]	SLEEPVAL	events_test	INSERT INTO slow_event_test SELECT @@long_query_time, SLEEP(5)
 DROP EVENT long_event2;
 SET GLOBAL  long_query_time =@old_global_long_query_time;
 SET SESSION long_query_time =@old_session_long_query_time;
diff --git a/mysql-test/r/events_scheduling.result b/mysql-test/r/events_scheduling.result
index 67e8e6d5691ec7ade8a686743f977f1f8f688128..8b1f29d320fe522d735da8ee315c2e5be60282be 100644
--- a/mysql-test/r/events_scheduling.result
+++ b/mysql-test/r/events_scheduling.result
@@ -4,7 +4,9 @@ CREATE TABLE table_1(a int);
 CREATE TABLE table_2(a int);
 CREATE TABLE table_3(a int);
 CREATE TABLE table_4(a int);
+CREATE TABLE T19170(s1 TIMESTAMP);
 SET GLOBAL event_scheduler=1;
+CREATE EVENT E19170 ON SCHEDULE EVERY 1 SECOND DO INSERT INTO T19170 VALUES(CURRENT_TIMESTAMP);
 CREATE EVENT two_sec ON SCHEDULE EVERY 2 SECOND DO INSERT INTO table_1 VALUES(1);
 CREATE EVENT start_n_end
 ON SCHEDULE EVERY 1 SECOND
@@ -29,8 +31,8 @@ DROP EVENT two_sec;
 SELECT IF(TIME_TO_SEC(TIMEDIFF(ENDS,STARTS))=6, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
 IF(TIME_TO_SEC(TIMEDIFF(ENDS,STARTS))=6, 'OK', 'ERROR')
 OK
-SELECT IF(LAST_EXECUTED-ENDS < 2, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
-IF(LAST_EXECUTED-ENDS < 2, 'OK', 'ERROR')
+SELECT IF(LAST_EXECUTED-ENDS < 3, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
+IF(LAST_EXECUTED-ENDS < 3, 'OK', 'ERROR')
 OK
 DROP EVENT start_n_end;
 "Already dropped because ended. Therefore an error."
@@ -43,4 +45,8 @@ DROP TABLE table_1;
 DROP TABLE table_2;
 DROP TABLE table_3;
 DROP TABLE table_4;
+"Checking for multiple executions in one second, should not happen -> 0 as result"
+SELECT COUNT(*) FROM (SELECT s1, COUNT(*) AS cnt FROM T19170 GROUP BY s1) AS tmp WHERE tmp.cnt > 1;
+COUNT(*)
+0
 DROP DATABASE events_test;
diff --git a/mysql-test/t/events_logs_tests.test b/mysql-test/t/events_logs_tests.test
index e586184c9e4142552550fdf1ddac2d97a1f84094..21adc17d5b8708880502d3fa9448d6b2a89d252f 100644
--- a/mysql-test/t/events_logs_tests.test
+++ b/mysql-test/t/events_logs_tests.test
@@ -56,6 +56,7 @@ SET GLOBAL long_query_time=4;
 SET SESSION long_query_time=2;
 --echo "Check that logging is working"
 SELECT SLEEP(3);
+--replace_regex /00:00:0[3-5]/SLEEPVAL/
 SELECT user_host, query_time, db, sql_text FROM mysql.slow_log;
 TRUNCATE mysql.slow_log;
 CREATE TABLE slow_event_test (slo_val tinyint, val tinyint);
@@ -79,6 +80,7 @@ CREATE EVENT long_event2 ON SCHEDULE EVERY 1 MINUTE DO INSERT INTO slow_event_te
 --echo "Check our table. Should see 2 rows"
 SELECT * FROM slow_event_test;
 --echo "Check slow log. Should see 1 row because 5 is over the threshold of 4 for GLOBAL, though under SESSION which is 10"
+--replace_regex /00:00:0[5-7]/SLEEPVAL/
 SELECT user_host, query_time, db, sql_text FROM mysql.slow_log;
 DROP EVENT long_event2;
 SET GLOBAL  long_query_time =@old_global_long_query_time;
diff --git a/mysql-test/t/events_scheduling.test b/mysql-test/t/events_scheduling.test
index f83d919515b6c3729092c63603cbaded04faa5b2..ae3cc7d5fac06abf0105503924219d308e4250db 100644
--- a/mysql-test/t/events_scheduling.test
+++ b/mysql-test/t/events_scheduling.test
@@ -4,7 +4,9 @@ CREATE TABLE table_1(a int);
 CREATE TABLE table_2(a int);
 CREATE TABLE table_3(a int);
 CREATE TABLE table_4(a int);
+CREATE TABLE T19170(s1 TIMESTAMP);
 SET GLOBAL event_scheduler=1;
+CREATE EVENT E19170 ON SCHEDULE EVERY 1 SECOND DO INSERT INTO T19170 VALUES(CURRENT_TIMESTAMP);
 CREATE EVENT two_sec ON SCHEDULE EVERY 2 SECOND DO INSERT INTO table_1 VALUES(1);
 CREATE EVENT start_n_end
   ON SCHEDULE EVERY 1 SECOND
@@ -21,7 +23,7 @@ SELECT IF(SUM(a) >  0, 'OK', 'ERROR') FROM table_3;
 SELECT IF(SUM(a) >  0, 'OK', 'ERROR') FROM table_4;
 DROP EVENT two_sec;
 SELECT IF(TIME_TO_SEC(TIMEDIFF(ENDS,STARTS))=6, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
-SELECT IF(LAST_EXECUTED-ENDS < 2, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
+SELECT IF(LAST_EXECUTED-ENDS < 3, 'OK', 'ERROR') FROM INFORMATION_SCHEMA.EVENTS WHERE EVENT_SCHEMA=DATABASE() AND EVENT_NAME='start_n_end' AND ENDS IS NOT NULL;
 DROP EVENT start_n_end;
 --echo "Already dropped because ended. Therefore an error."
 --error ER_EVENT_DOES_NOT_EXIST
@@ -33,4 +35,6 @@ DROP TABLE table_1;
 DROP TABLE table_2;
 DROP TABLE table_3;
 DROP TABLE table_4;
+--echo "Checking for multiple executions in one second, should not happen -> 0 as result"
+SELECT COUNT(*) FROM (SELECT s1, COUNT(*) AS cnt FROM T19170 GROUP BY s1) AS tmp WHERE tmp.cnt > 1;
 DROP DATABASE events_test;