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World record (?) 10 Trillion iterations Mandelbrot zoom

Watch at the highest resolution you can!

Number of iterations at the furthest zoomed in minibrot: 10 T

Music from www.epidemicsound.com: Miss You - Christophe Gorman

0:00 - Mandelbrot zoom start
0:30 - First minibrot @ 10^-11
0:41 - 10^-197
0:55 - Second minibrot @ 10^-520
1:15 - Third minibrot @ 10^-1041
1:34 - 10^-1567
1:53 - 10^-1829
2:02 - 10^-1965
2:11 - 10^-2089
2:25 - Fourth -Tenth minibrots @ 10^-2095 to 10^-2107

The final frame calculation (1920x1080 resolution):
99% of the iterations are done with BLA steps of 1M or more
This program running on 6 x Raspberry Pi 4B@1.8GHz:
Time with PT and BLA: 1 hour 51 minutes
Estimated time without BLA: 9250 days
Estimated time without PT: 57000 years

Without PT: Regular MB-iters with MPFR - The Raspberry Pi 4B does about 21000 iterations/second on a single thread (using 7585 bits in the mantissa). The fewest iterations / pixel in the final image is 271045073999. The average iterations / pixel is 0.44*10^12, which results in a total of 9.1*10^17 iterations to be calculated, which corresponds to 1.8*10^12 seconds on 24 cores (6xRPI), i.e. 57000 years. Speedup of PT+BLA is about 270 million : 1!!

The reference point has 435252587 iterations, but has too many digits to write here.

Видео World record (?) 10 Trillion iterations Mandelbrot zoom канала Daniel Spångberg - Mandelbrot fractals
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4 октября 2022 г. 0:36:27
00:02:57
Яндекс.Метрика