timescale.py

from math import log
from random import random, randrange


sample = lambda: (randrange(1, 101), random())

q = [
    (1 - y) * log(x) + y * x
    for (x, y)
    in (sample() for _ in range(1000))
]


import matplotlib.pyplot as pyplot


pyplot.xscale('log')
pyplot.plot(sorted(q), range(len(q)))
pyplot.show()