We have 4 groups of 16 in a block of 64 quants.
For each group of 16 we have 3 groups of 5, each using 8 bits.
The remaining 16'th quants of the 4 groups of 16 are encoded
with 8 bits using the same encoding as the groups of 5.
The only kernel where we have complications is the CUDA dequantize
kernel (because we are dequantizing 8 quants there, and we have
different encoding for the 1st and 2nd group of 8 in a group of 16).
Ths achieves better performance on all tested platforms than
any previous 1.625 bpw attempt. We have:
| model | size | params | backend | threads | test | t/s |
| ---------------- | ---------: | ---------: | ---------- | ------: | ------------: | ---------------: |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | CUDA | 8 | pp512 | 9613.02 ± 24.54 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | CUDA | 8 | tg128 | 229.85 ± 0.33 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | AVX2 | 16 | pp512 | 322.59 ± 1.00 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | AVX2 | 16 | tg128 | 59.79 ± 0.03 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | AVX2 | 8 | tg128 | 57.62 ± 0.21 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | AVX2 | 4 | tg128 | 33.66 ± 0.29 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | AVX2 | 2 | tg128 | 18.30 ± 0.01 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | Metal | 8 | pp512 | 698.13 ± 0.21 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | Metal | 8 | tg128 | 68.88 ± 0.24 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | NEON | 8 | pp512 | 196.80 ± 0.50 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | NEON | 8 | tg128 | 51.58 ± 0.41 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | NEON | 4 | tg128 | 30.80 ± 0.03 |
| 1.625 bpw Bitnet | 729.64 MiB | 3.32 B | NEON | 2 | tg128 | 16.89 ± 0.01 |
It is still slower than 2 bpw Bitnet, but the difference now is not as
dramatic.
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