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program = { SOI ~ expr ~ EOI }
expr = { prefix* ~ primary ~ postfix* ~ (infix ~ prefix* ~ primary ~ postfix* )* }
infix = _{ add | sub | mul | div | pow }
add = { "+" } // Addition
sub = { "-" } // Subtraction
mul = { "*" } // Multiplication
div = { "/" } // Division
pow = { "^" } // Exponentiation
prefix = _{ neg }
neg = { "-" } // Negation
postfix = _{ fac }
fac = { "!" } // Factorial
primary = _{ int | "(" ~ expr ~ ")" }
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