Fast index creation does not update index statistics

Reported upstream as http://bugs.mysql.com/bug.php?id=62516

After adding an index using fast index creation, statistics for that index provided by
InnoDB is left in a bogus state until an explicit ANALYZE TABLE is executed. This is not
the case for the old method of adding indexes by copying rows used by builtin InnoDB.

How to repeat:
drop table if exists t1;
create table t1(id int not null auto_increment primary key, a char(1) not null, b
char(36) not null) engine=innodb;
insert into t1(a,b) values ('a','b');
insert into t1(a,b) select a,b from t1;
insert into t1(a,b) select a,b from t1;
insert into t1(a,b) select a,b from t1;
insert into t1(a,b) select a,b from t1;
alter table t1 add key (a);

Builtin InnoDB in 5.1:

mysql> explain select count(*) from t1, t1 t2 where t1.a = t2.a and t1.b = t2.b\G
*************************** 1. row ***************************
           id: 1
  select_type: SIMPLE
        table: t1
         type: ALL
possible_keys: NULL
          key: NULL
      key_len: NULL
          ref: NULL
         rows: 16
        Extra:
*************************** 2. row ***************************
           id: 1
  select_type: SIMPLE
        table: t2
         type: ALL
possible_keys: NULL
          key: NULL
      key_len: NULL
          ref: NULL
         rows: 16
        Extra: Using where; Using join buffer
2 rows in set (0.01 sec)

InnoDB plugin 1.0.17:

mysql> explain select count(*) from t1, t1 t2 where t1.a = t2.a and t1.b = t2.b\G
*************************** 1. row ***************************
           id: 1
  select_type: SIMPLE
        table: t1
         type: ALL
possible_keys: a
          key: NULL
      key_len: NULL
          ref: NULL
         rows: 16
        Extra:
*************************** 2. row ***************************
           id: 1
  select_type: SIMPLE
        table: t2
         type: ref
possible_keys: a
          key: a
      key_len: 1
          ref: test.t1.a
         rows: 1
        Extra: Using where
2 rows in set (0.00 sec)

mysql> analyze table t1;
+---------+---------+----------+----------+
| Table | Op | Msg_type | Msg_text |
+---------+---------+----------+----------+
| test.t1 | analyze | status | OK |
+---------+---------+----------+----------+
1 row in set (0.00 sec)

mysql> explain select count(*) from t1, t1 t2 where t1.a = t2.a and t1.b = t2.b\G
*************************** 1. row ***************************
           id: 1
  select_type: SIMPLE
        table: t1
         type: ALL
possible_keys: a
          key: NULL
      key_len: NULL
          ref: NULL
         rows: 16
        Extra:
*************************** 2. row ***************************
           id: 1
  select_type: SIMPLE
        table: t2
         type: ALL
possible_keys: a
          key: NULL
      key_len: NULL
          ref: NULL
         rows: 16
        Extra: Using where; Using join buffer
2 rows in set (0.01 sec)

Suggested fix:
Update statistics after fast index creation.