perf diff between reduce vs sum

try_it.py

from functools import reduce as r
from time import time as t
add = str.__add__
class S(str):
    __neutral = ""
    def __radd__(s, o):
        o = o or S.__neutral
        return add(s, o)

    def __ladd__(o, s):
        o = o or S.__neutral
        return add(s, o)

    def __add__(s, o):
        o = o or S.__neutral
        return add(o, s)

y = list(map(S,range(900900)))

print("reduce")
i = t()
z=r(S.__add__, y)
print(t() - i)


print("reduce2")
i = t()
w=r(S.__ladd__, y)
print(t() - i)

print("sum")
i = t()
y=sum(y)
print(t() - i)


assert y==z,"%s != %s" % (y,z)
assert w==z,"%s != %s" % (w,z)