Python Benchmarking

import time



def solveoriginal(s):
    ls = s.split(" ")
    new_word = ""
    new_name = ""
    for word in ls:
        if len(word) > 1:
            new_word = new_word + word[0].title() + word[1:] + " "
        else:
            new_word = new_word + word.title() + " "
    new_name = new_name.join(new_word)
    return new_name


def cap_first_letter(word):
    return word[:1].upper() + word[1:]


def solvenew(words):
    return ' '.join(cap_first_letter(word) for word in words.split(' '))




names = "ALLISION   heck sanders"
for iterations in (10 ** 6, 11 ** 6, 10 ** 7):
    print(f"\n{iterations} iteartions\n")


    start = time.time()
    for _ in range(iterations): solvenew(names)
    print(f"Time taken for new function: {time.time() - start:.3f} s")

    start = time.time()
    for _ in range(iterations): solveoriginal(names)
    print(f"Time taken for original function: {time.time() - start:.3f} s")