Save Images Faser with Pillow

Question

Question: Is there a faser way to save pictures with Pillow in Python?

what happened up to here:

I have a code that creates an image. The image is created by a function. Each pixel of the image is created and should be saved as a single image.

If I do not save this, the calculation runs about 9 sec. If I save it it is 20 sec. Ergo more than 50% of the time is used for saving. It gets even worse when the images get bigger.

The bottelneck is the saving. I switched from PNG -> JPEG, which is about 40% faster.

Is there another way to speed up saving?

from PIL import Image, ImageDraw
import numpy as np

MAX_ITER = 80
def mandelbrot(c):
    z = 0
    n = 0
    while abs(z) <= 2 and n < MAX_ITER:
        z = z*z + c
        n += 1
    return n

WIDTH = 140
HEIGHT = 96

RE_START = -2
RE_END = 1
IM_START = -1
IM_END = 1

palette = []
im = Image.new('RGB', (WIDTH, HEIGHT), (0, 0, 0))
draw = ImageDraw.Draw(im)

n = 0
for x in range(0, WIDTH):
    for y in range(0, HEIGHT):
        c = complex(RE_START + (x / WIDTH) * (RE_END - RE_START),
                    IM_START + (y / HEIGHT) * (IM_END - IM_START))
        m = mandelbrot(c)
        color = 255 - int(m * 255 / MAX_ITER)
        draw.point([x, y], (color, color, color))

        im.save(f'test/output_{n}.jpg', 'JPEG')
        n = n + 1

Soucre: https://www.codingame.com/playgrounds/2358/how-to-plot-the-mandelbrot-set/mandelbrot-set