Documentation for operator BETWEEN precedence is incorrect

[AnyhowStep]

Related: https://github.com/AnyhowStep/sql-compiler/issues/27

https://www.db-fiddle.com/f/eLqMAKQHmfzCVFKMB9raFn/0

https://dev.mysql.com/doc/refman/5.7/en/operator-precedence.html

https://github.com/mysql/mysql-server/blob/5c8c085ba96d30d697d0baa54d67b102c232116b/sql/sql_yacc.yy#L9360

predicate:
    ...
    | bit_expr BETWEEN_SYM bit_expr AND_SYM predicate
    ....
    | bit_expr

Given this,

SELECT a BETWEEN b AND c BETWEEN d AND e

We can have,

SELECT (a BETWEEN b AND c) BETWEEN d AND e

Or,

SELECT a BETWEEN b AND (c BETWEEN d AND e)

According to the documentation, it should parse from left to right. So, the first choice. But the grammar rules are written such that it parses from right to left.

[AnyhowStep]

The same problem for equality operator precedence, https://www.db-fiddle.com/f/9F9ZCGV3QDs6fPysLMQ7Yh/0

SELECT
    1 = 2 BETWEEN 0 AND 1,
    (1 = 2) BETWEEN 0 AND 1,
    1 = (2 BETWEEN 0 AND 1);

1 = 2 BETWEEN 0 AND 1	(1 = 2) BETWEEN 0 AND 1	1 = (2 BETWEEN 0 AND 1)
0	1	0