© 2015-2019, 2021-2024 by Zack Smith. All rights reserved.
Diviner
Diviner is a benchmark that measures how fast a CPU can perform big-number unsigned integer division, using my own assembly language division routines.
Diviner currently measures the performance of bignum division for sizes of 256 bits up to 4 megabits.
The program actually generates assembly language code to suit the size of dividend and divisor.
I've written the assembly code only for 64-bit Intel/AMD CPUs (x86_64) but in future I'll add 64-bit ARM (aarch64).
What does it test?
This benchmark effectively tests the CPU's arithmetic processing speed, the caches' speed and in cases where the largest cache is small, the main memory speed.
Performance should be as follows:
- Fastest: The in-registers-only division.
- Fast: Divisions where the dividends and divisors fit entirely in the L1 cache.
- Slower: Divisions where the dividends and divisors spill over into the L2 cache.
- Slowest: Divisions with the larger operands, which spill over into the L3 cache (if one exists) or even main memory.
Output
AMD Ryzen 7 7840U, 5.1 GHz burst, 6400 MHz LPDDR5 RAM:
This CPU has a 512 kB L1 cache, 8MB L2 cache, and 16MB L3 cache, and it performed worse than the 5650U.
| Dividend size | divisor size | divisions per second: |
| 256-bit (registers) | 128 | 6782000 |
| 256-bit (memory) | 128 | 2311000 |
| 1024-bit (memory) | 512 | 214600 |
| 4096-bit (memory) | 2048 | 12990 |
| 16384-bit (memory) | 8192 | 718.8 |
| 65536-bit (memory) | 32768 | 43.70 |
| 262144-bit (memory) | 131072 | 2.637 |
| 1048576-bit (memory) | 524288 | 0.1593 |
| 4194304-bit (memory) | 2097152 | 0.0094 |
AMD Ryzen 7 6850U, 4.7 GHz burst, 6400 MHz LPDDR5 RAM:
This CPU has a 512 kB L1 cache, 4MB L2 cache, and 16MB L3 cache.
| Dividend size | divisor size | divisions per second: |
| 256-bit (registers) | 128 | 5606000 |
| 256-bit (memory) | 128 | 1747000 |
| 1024-bit (memory) | 512 | 178000 |
| 4096-bit (memory) | 2048 | 11980 |
| 16384-bit (memory) | 8192 | 655.5 |
| 65536-bit (memory) | 32768 | 39.72 |
| 262144-bit (memory) | 131072 | 2.416 |
| 1048576-bit (memory) | 524288 | 0.1375 |
| 4194304-bit (memory) | 2097152 | 0.0079 |
AMD Ryzen 5 6650U, 4.5 GHz burst, 6400 MHz LPDDR5 RAM:
This CPU has a 384 kB L1 cache, 3MB L2 cache, and 16MB L3 cache.
| Dividend size | divisor size | divisions per second: |
| 256-bit (registers) | 128 | 5775000 |
| 256-bit (memory) | 128 | 1672000 |
| 1024-bit (memory) | 512 | 170600 |
| 4096-bit (memory) | 2048 | 11510 |
| 16384-bit (memory) | 8192 | 630.7 |
| 65536-bit (memory) | 32768 | 38.31 |
| 262144-bit (memory) | 131072 | 2.334 |
| 1048576-bit (memory) | 524288 | 0.1342 |
| 4194304-bit (memory) | 2097152 | 0.0076 |
AMD Ryzen 5 5650U, 4.2 GHz burst, 4267 MHz LPDDR4 RAM:
| Dividend size | divisor size | divisions per second: |
| 256-bit (registers) | 128 | 5073000 |
| 256-bit (memory) | 128 | 1590000 |
| 1024-bit (memory) | 512 | 162200 |
| 4096-bit (memory) | 2048 | 10940 |
| 16384-bit (memory) | 8192 | 598.2 |
| 65536-bit (memory) | 32768 | 36.28 |
| 262144-bit (memory) | 131072 | 2.133 |
| 1048576-bit (memory) | 524288 | 0.1096 |
| 4194304-bit (memory) | 2097152 | 0.0065 |
Intel Core i5-1240P, 4.4 GHz burst, 4267 MHz LPDDR4 RAM:
This CPU has a 5 MB L2 cache per core, 12 MB shared L3 cache.
| Dividend size | divisor size | divisions per second: |
|---|---|---|
| 256-bit (registers) | 128 | 3055000 |
| 256-bit (memory) | 128 | 1890000 |
| 1024-bit (memory) | 512 | 97950 |
| 4096-bit (memory) | 2048 | 4335 |
| 16384-bit (memory) | 8192 | 244.2 |
| 65536-bit (memory) | 32768 | 14.70 |
| 262144-bit (memory) | 131072 | 0.9089 |
| 1048576-bit (memory) | 524288 | 0.0566 |
| 4194304-bit (memory) | 2097152 | 0.0032 |
Intel Core i5-1135G7, 4.2 GHz burst, 4267 MHz LPDDR4X RAM:
This CPU has an 8 MB shared L3 cache.
| Dividend size | divisor size | divisions per second: |
|---|---|---|
| 256-bit (registers) | 128 | 2878000 |
| 256-bit (memory) | 128 | 1457000 |
| 1024-bit (memory) | 512 | 81500 |
| 4096-bit (memory) | 2048 | 4382 |
| 16384-bit (memory) | 8192 | 250.4 |
| 65536-bit (memory) | 32768 | 15.07 |
| 262144-bit (memory) | 131072 | 0.9001 |
| 1048576-bit (memory) | 524288 | 0.0568 |
| 4194304-bit (memory) | 2097152 | 0.0033 |
Intel Core i5-8250U, 3.2 GHz burst, 2400 MHz DDR4 RAM:
This CPU has a 6 MB shared L3 cache.
| Dividend size | divisor size | divisions per second: |
|---|---|---|
| 256-bit (registers) | 128 | 2250000 |
| 256-bit (memory) | 128 | 985000 |
| 1024-bit (memory) | 512 | 55740 |
| 4096-bit (memory) | 2048 | 3153 |
| 16384-bit (memory) | 8192 | 190.3 |
| 65536-bit (memory) | 32768 | 11.79 |
| 262144-bit (memory) | 131072 | 0.7120 |
| 1048576-bit (memory) | 524288 | 0.0417 |
| 4194304-bit (memory) | 2097152 | 0.0024 |
Intel Core i5-5257U, 3.1 GHz burst, 1866 MHz LPDDR3 RAM:
This CPU has a 3 MB shared L3 cache.
| Dividend size | divisor size | divisions per second: |
|---|---|---|
| 256-bit (registers) | 128 | 1838000 |
| 256-bit (memory) | 128 | 680000 |
| 1024-bit (memory) | 512 | 46440 |
| 4096-bit (memory) | 2048 | 2737 |
| 16384-bit (memory) | 8192 | 163.6 |
| 65536-bit (memory) | 32768 | 10.10 |
| 262144-bit (memory) | 131072 | 0.5918 |
| 1048576-bit (memory) | 524288 | 0.0276 |
| 4194304-bit (memory) | 2097152 | 0.0012 |
Intel Core i5-4278U, 3.1 GHz burst, 1600 MHz DDR3L RAM:
This CPU has a 3 MB shared L3 cache.
| Dividend size | divisor size | divisions per second: |
|---|---|---|
| 256-bit (registers) | 128 | 1434000 |
| 256-bit (memory) | 128 | 663000 |
| 1024-bit (memory) | 512 | 46800 |
| 4096-bit (memory) | 2048 | 2742 |
| 16384-bit (memory) | 8192 | 165 |
| 65536-bit (memory) | 32768 | 10.23 |
| 262144-bit (memory) | 131072 | 0.6206 |
| 1048576-bit (memory) | 524288 | 0.0349 |
| 4194304-bit (memory) | 2097152 | 0.0012 |
Download
Notes:
- This requires the Unix 64-bit ABI therefore it doesn't run on Windows.
- The assembly code utilizes loop unrolling and can be time-consuming to assemble.