When using reduce, it’s good practice to provide the third argument, reduce(function, iterable, initializer), to prevent this exception: TypeError: reduce() of empty sequence with no initial value (excellent message: explains the problem and how to fix it). The initializer is the value returned if the sequence is empty and is used as the first argument in the reducing loop, so it should be the identity value of the operation. As examples, for +, |, ^ the initializer should be 0, but for *, & it should be 1.
