Expressions

You are given a string that contains mathematical expressions of the following forms:

• add(x,y): sum of the numbers x and y
• mul(x,y): product of the numbers x and y

The numbers x and y are positive integers. You should only process expressions of this precise form.

Your task is to create a new string where each expression has been replaced with the result of evaluating the expression. For example, the string abadd(123,456)mulxmul(3,13) should turn into the string ab579mulx39.

In a file addmul.py, implement the function evaluate that takes a string as a parameter and returns the modified string with the expression evaluations.

Your function should be efficient with long strings too. A good test of efficiency is the last test case in the code template below, where the string contains $10^5$ copies of the expression mul(6,7). Your function should finish quickly in this test case too.

def evaluate(data):
    # TODO

if __name__ == "__main__":
    print(evaluate("add(1,2)")) # 3
    print(evaluate("aybabtu")) # aybabtu
    print(evaluate("mul(6,7),mul(7,191)")) # 42,1337
    print(evaluate("abadd(123,456)mulxmul(3,13)")) # ab579mulx39
    print(evaluate("mul()mul(13)mul(0,1)")) # mul()mul(13)mul(0,1)

    data = "mul(6,7)"*10**5
    result = evaluate(data)
    print(len(result)) # 200000
    print(result[:20]) # 42424242424242424242