![]() |
y-cruncher - A Multi-Threaded Pi-Program |
![]() |
From a high-school project that went a little too far...By Alexander J. Yee |
(Last updated: October 14, 2014)
Shortcuts:
The first scalable multi-threaded Pi-benchmark for multi-core systems...
How fast can your computer compute Pi?
y-cruncher is a program that can compute Pi and other constants to trillions of digits.
It is the first of its kind that is multi-threaded and scalable to multi-core systems. Ever since its launch in 2009, it has become a common benchmarking and stress-testing application for overclockers and hardware enthusiasts.
y-cruncher has been used to set several world records for the most digits of Pi ever computed.
Current Release:
Windows: Version 0.6.5 Build 9444b (fix 2) (Released: August 23, 2014)
Linux : Version 0.6.5 Build 9444b (fix 2) (Released: August 23, 2014)
Official Xtremesystems Forums thread.
World Record - 13.3 trillion digits of Pi: (October 8, 2014)
I'm please to announce that "houkouonchi" (who wishes to remain anonymous) has set a new world record for the digits of Pi with 13,300,000,000,000 digits.
The computation took 208 days and was done using y-cruncher v0.6.3 on a workstation with the following specs:
Verification using the BBP formula was done by myself and took 182 hours on a Core i7 920 @ 3.5 GHz.
Overall, this computation was slower than Shigeru Kondo's 12.1 trillion because the machine had less disk bandwidth and was not dedicated to the task.
More details coming soon...
For now, the digits can be downloaded here*: http://fios.houkouonchi.jp:8080/pi/
You can contact houkouonchi at: houkouonchi@houkouonchi.jp
*In order to view and/or decompress the digits, you will need the Digit Viewer. It comes bundled with y-cruncher.
Version v0.6.5: (May 26, 2014)
It took way too long, but support for AVX2 has been added. The new binary targets Haswell processors and requires AVX2, FMA3, and BMI2 instructions.
Theoretically, it should also be able to run on AMD Excavator processors.
As a word of warning: On Haswell, the AVX2 binary runs considerably hotter than with just AVX. So please take care when running it (with or without overclock).
This is especially the case with all the thermal problems that Haswell has.
y-cruncher has been used to set a number world record size computations.
Blue: Current World Record
Green: Former World Record
Red: Unverified computation. Does not qualify as a world record until verified using an alternate formula.
| Date Announced | Date Completed: | Source: | Who: | Constant: | Decimal Digits: | Time: | Computer: |
| October 8, 2014 | October 7, 2014 | "houkouonchi" | Pi | 13,300,000,000,000 |
|
2 x Xeon E5-4650L @ 2.6 GHz 192 GB DDR3 @ 1333 MHz 24 x 4 TB + 30 x 3 TB |
|
| March 24, 2014 | March 10, 2014 | Shigeru Kondo | Log(10) | 200,000,000,050 |
|
2 x Xeon E5-2690 @ 3.3 GHz 256 GB DDR3 @ 1600 MHz 12 x 3 TB |
|
| February 28, 2014 | Shigeru Kondo | Log(2) | 200,000,000,050 |
|
2 x Xeon E5-2690 @ 3.3 GHz 256 GB DDR3 @ 1600 MHz 12 x 3 TB |
||
| December 28, 2013 | December 28, 2013 | Source | Shigeru Kondo | Pi | 12,100,000,000,050 | 2 x Xeon E5-2690 @ 2.9 GHz 128 GB DDR3 @ 1600 MHz 24 x 3 TB |
|
| December 22, 2013 | December 22, 2013 | Alexander Yee | Euler-Mascheroni Constant | 119,377,958,182 |
|
"Nagisa" 2 x Intel Xeon X5482 @ 3.2 GHz 64 GB DDR2 FB-DIMM 64 GB SSD (Boot) + 2 TB (Data) 8 x 2 TB (Computation) |
|
| September 13, 2013 | September 13, 2013 | Source | Setti Financial LLC | Zeta(3) - Apery's Constant | 200,000,001,000 | Compute: ~5 months Not Verified |
Intel Core i5-3570S @ 3.1 GHz 16 GB |
| April 8, 2013 | April 8, 2013 | Source | Setti Financial LLC | Catalan's Constant | 100,000,000,000 | Compute: ~4 months Not Verified |
2 x Intel Xeon X5460 @ 3.16 GHz 16 GB DDR2 |
| February 9, 2012 | February 9, 2012 | Alexander Yee | Square Root of 2 | 2,000,000,000,050 | 2 x Xeon X5482 @ 3.2 GHz - 64 GB 8 x 2 TB Core i7 2600K @ 4.4 GHz - 16 GB 5 x 1 TB + 5 x 2 TB |
||
| September 17, 2010 | September 17, 2010 | Source | Alexander Yee | Zeta(3) - Apery's Constant | 100,000,001,000 | "Nagisa" + "Ushio" | |
| July 8, 2010 | July 8, 2010 | Source | Alexander Yee | Golden Ratio | 1,000,000,000,000 |
*Not a continuous run. |
"Nagisa" 2 x Intel Xeon X5482 @ 3.2 GHz 64 GB DDR2 FB-DIMM 1.5 TB (Boot + Output) 4 x 1 TB (2 x 2 RAID0) + 6 x 2 TB |
| July 5, 2010 | July 5, 2010 | Source | Shigeru Kondo | e | 1,000,000,000,000 | Intel Core i7 980X @ 3.33 GHz 12 GB DDR3 2 TB (Boot + Output) 8 x 1 TB (Computation) |
|
| April 16, 2009 | April 16, 2009 | Source | Alexander Yee & Raymond Chan |
Catalan's Constant | 31,026,000,000 | Compute: 178 hours Verify: 221 hours |
"Nagisa" |
See the complete list.
Aside from computing Pi and other constants, y-cruncher is great for stress testing 64-bit systems with lots of ram.
Latest Release: (August 23, 2014)
Windows: y-cruncher v0.6.5.9444b (fix 2).zip (7.76 MB)
Linux : y-cruncher v0.6.5.9444b (fix 2).tar.gz (8.44 MB)
System Requirements:
Windows:
- Windows Vista or later.
- You may need to install: Microsoft Visual C++ 2013 Redistributable Package
- Privilege elevation is needed to run y-cruncher. So this may result in UAC prompts.
See the FAQ for why y-cruncher needs privilege elevation.Linux:
- 64-bit Linux is required. There is no support for 32-bit.
- You may need to enable execute permissions. This can be done by running the following command on the y-cruncher directory: "chmod -R 777 *.out"
All Systems:
- An x86 or x64 processor with SSE3 instructions. This shouldn't be a problem since nearly all PCs since 2006 has them.
Version History:
Main Page: y-cruncher - Version History
Other Downloads (for C++ programmers):
Advanced Documentation:
Functionality Issues:
Performance Issues:
Comparison Chart: (Last updated: June 21, 2014)
Computations of Pi to various sizes. All times in seconds. All times include the time needed to convert the digits to decimal representation.
| Processor(s): | Core 2 Quad Q6600 | Core i7 920 | Core i7 3630QM | FX-8350 | Core i7 4770K | 2 x Xeon X5482 | 2 x Xeon E5-2690* |
| Generation: | Intel Merom | Intel Nehalem | Intel Ivy Bridge | AMD Piledriver | Intel Haswell | Intel Penryn | Intel Sandy Bridge |
| Cores/Threads: | 4/4 | 4/8 | 4/8 | 8/8 | 4/8 | 8/8 | 16/32 |
| Processor Speed: | 2.4 GHz | 3.5 GHz (OC) | 2.4 GHz (3.2 GHz turbo) | 4.0 GHz (4.2 GHz turbo) | 4.0 GHz (OC) | 3.2 GHz | 3.5 GHz |
| Memory: | 6 GB - 800 MHz | 12 GB - 1333 MHz | 8 GB - 1600 MHz | 16 GB - 1333 MHz | 32 GB - 1866 MHz | 64 GB - 800 MHz | 256 GB - ??? |
| Version: | v0.6.3 - SSE3 | v0.6.3 - SSE4.1 | v0.6.3 - AVX | v0.6.4 - XOP | v0.6.5 - AVX2 | v0.6.3 - SSE4.1 | v0.6.2/3 - AVX |
| 25,000,000 | 12.925 | 6.852 | 5.435 | 7.207 | 3.237 | 6.923 | 2.283 |
| 50,000,000 | 27.713 | 14.272 | 11.596 | 13.908 | 6.672 | 14.386 | 4.295 |
| 100,000,000 | 59.752 | 30.910 | 25.594 | 27.797 | 14.560 | 28.242 | 8.167 |
| 250,000,000 | 171.932 | 86.899 | 73.017 | 71.436 | 41.889 | 76.197 | 20.765 |
| 500,000,000 | 388.090 | 191.235 | 174.005 | 153.344 | 92.372 | 157.537 | 42.394 |
| 1,000,000,000 | 862.522 | 429.040 | 404.577 | 338.529 | 205.992 | 346.963 | 89.920 |
| 2,500,000,000 | 1009.923 | 591.683 | 964.038 | 239.154 | |||
| 5,000,000,000 | 1311.937 | 2123.981 | 520.977 | ||||
| 10,000,000,000 | 4633.681 | 1131.809 | |||||
| 25,000,000,000 | 3341.281 | ||||||
| 50,000,000,000 | 7355.076 |
*Credit to Shigeru Kondo.
The full chart of rankings for each size can be found here:
*These fastest times may include unreleased betas.
Got a faster time? Let me know: a-yee@u.northwestern.edu
If you're interested in what formulas and algorithms y-cruncher uses:
Main Page: y-cruncher - Language and Algorithms
Here's some interesting sites dedicated to the computation of Pi and other constants:
Contact me via e-mail. I'm pretty good with responding unless it gets caught in my school's junk mail filter.