Grammar with error handling

grammar Add2 {
    rule TOP { ^ <math> $ }
    rule math { 
        <operand>
        [ <operator> || {die "missing operator"} ] 
        [ <operand> || { die "Missing second operand" } ]
        [ \S { die "Invalid value after the second operand" } ]?
    }
    token operand { \d+ }
    token operator { <[\+\*]> || \D { die "Invalid operator" } }
}

2 + 3 OK
2 + 4  OK
2 + 3 x exception received: Invalid value after the second operand
2 + exception received: Missing second operand
2 3 exception received: missing operator
2 - 3 exception received: Invalid operator