Experimental layer-wise quantization of watt-ai/watt-tool-8B

Using LLaMA C++ release b5150 for quantization.

Original model: watt-ai/watt-tool-8B

From the original model creators:

watt-tool-8B is a fine-tuned language model based on LLaMa-3.1-8B-Instruct, optimized for tool usage and multi-turn dialogue. It achieves state-of-the-art performance on the Berkeley Function-Calling Leaderboard (BFCL)

The model is specifically designed to excel at complex tool usage scenarios that require multi-turn interactions, making it ideal for empowering platforms like Lupan, an AI-powered workflow building tool. By leveraging a carefully curated and optimized dataset, watt-tool-8B demonstrates superior capabilities in understanding user requests, selecting appropriate tools, and effectively utilizing them across multiple turns of conversation.

PLEASE READ THIS BEFORE USING THESE EXPERIMENTAL VERSIONS!

An area of personal interest is finding ways to optimize the inference performance of LLMs when deployed in resource-constrained environments like commodity hardware, desktops, laptops, mobiles, edge devices, etc. There are many approaches to accomplish this, including architecture simplification and knowledge distillation, but my focus has been primarily on quantization and pruning.

The method used to produce these experimental versions is covered in Squeezing Tensor Bits: the quest for smaller LLMs, but at a high level it involves using custom versions of llama-imatrix and llama-quantize to identify the influential tensors, and quantize the most important layers to higher bit precision and the less important to lower bits. This process was partly inspired by Dumitru's et al Layer-Wise Quantization: A Pragmatic and Effective Method for Quantizing LLMs Beyond Integer Bit-Levels.

Thereโ€™re two pull requests (imatrix & quantize) to merge these changes back into the core llama.cpp project. This may or may not ever happen so, until then, the modified versions will be available on GitHub.

For testing and comparison I'd normally use models produced by Unsloth (Daniel and Michael Han do some really advanced level stuff!) and Bartowski (see credits below), but they don't provide GGUF versions of this model, so all tests and comparisons are done against naive quantizations obtained by simply running llama-quantize with no further optimization.

All experimental versions were generated using an appropriate imatrix created from calibration datasets available at eaddario/imatrix-calibration. At its core, an Importance Matrix (imatrix) is a table or, more broadly, a structured representation that scores the relative importance of different features or parameters in a machine learning model. It essentially quantifies the "impact" each feature has on a specific outcome, prediction, or relationship being modeled, and it helps to counterbalance the negative effects of quantization and pruning.

The process to generate these models is roughly as follows:

  1. Convert the the original model's tensors to GGUF F16*
  2. Estimate the Perplexity score for the F16 model (baseline) using the wikitext-2-raw-v1 dataset, and save the logits
  3. Generate an imatrix from selected calibration datasets
  4. Determine tensor and layer Importance Score contribution using a modified version of llama-imatrix
  5. Select an appropiate quant level for each tensor using a modified version of llama-quantize
  6. Calculate Perplexity, KL Divergence, ARC (Easy+Challenge), HellaSwag, MMLU, Truthful QA and WinoGrande scores for each quantized model
  7. Keep versions with the best scores
  8. Repeat until all desired quants are created. I find that quantizations below Q3/IQ3 are not fit for my purposes and therefore do not usually generate them, but happy to provide other quants on request.

*BF16 would be preferred, but Apple's GPUs don't support it yet, and therefore any operations are executed in the CPU, making it unacceptably slow. This is expected to change in the near term but until then, if you are using Apple kit avoid using any models tagged BF16

Models

Sizes (in GB)

Model Naive Repo Shrinkage
Watt-Tool-8B-IQ3_M 3.78 3.69 2.4%
Watt-Tool-8B-IQ3_S 3.68 3.43 6.8%
Watt-Tool-8B-IQ4_NL 4.68 4.39 6.2%
Watt-Tool-8B-Q3_K_L 4.32 3.76 13.0%
Watt-Tool-8B-Q3_K_M 4.02 3.56 11.4%
Watt-Tool-8B-Q3_K_S 3.66 3.31 9.6%
Watt-Tool-8B-Q4_K_M 4.92 4.41 10.4%
Watt-Tool-8B-Q4_K_S 4.69 4.28 8.7%
Watt-Tool-8B-Q5_K_M 5.73 5.38 6.1%
Watt-Tool-8B-Q5_K_S 5.60 5.24 6.4%
Watt-Tool-8B-Q6_K 6.60 6.57 0.5%
Watt-Tool-8B-Q8_0 8.54 7.73 9.5%

Perplexity and KL Divergence scores

Model ฮผPPL ๐œŒPPL ฮผKLD RMS ฮ”p
Watt-Tool-8B-IQ3_M 7.841948 ยฑ0.049502 98.36% 0.081774 ยฑ0.000354 8.316 ยฑ0.043
Watt-Tool-8B-IQ3_S 8.253598 ยฑ0.051864 97.71% 0.117565 ยฑ0.000433 10.385 ยฑ0.045
Watt-Tool-8B-IQ4_NL 7.516430 ยฑ0.047275 99.30% 0.034545 ยฑ0.000172 5.270 ยฑ0.035
Watt-Tool-8B-Q3_K_L 8.274172 ยฑ0.052402 97.60% 0.114738 ยฑ0.000483 10.050 ยฑ0.048
Watt-Tool-8B-Q3_K_M 8.459379 ยฑ0.053550 97.26% 0.131196 ยฑ0.000539 10.892 ยฑ0.050
Watt-Tool-8B-Q3_K_S 8.869361 ยฑ0.056188 96.40% 0.171689 ยฑ0.000675 12.587 ยฑ0.055
Watt-Tool-8B-Q4_K_M 7.553687 ยฑ0.047468 99.32% 0.033370 ยฑ0.000164 5.188 ยฑ0.033
Watt-Tool-8B-Q4_K_M (naive) 7.409510 ยฑ0.046740 99.65% 0.017663 ยฑ0.000107 3.658 ยฑ0.032
Watt-Tool-8B-Q4_K_S 7.570386 ยฑ0.047455 99.27% 0.036155 ยฑ0.000172 5.421 ยฑ0.034
Watt-Tool-8B-Q5_K_M 7.337057 ยฑ0.046220 99.81% 0.009155 ยฑ0.000052 2.680 ยฑ0.024
Watt-Tool-8B-Q5_K_S 7.347298 ยฑ0.046298 99.80% 0.009763 ยฑ0.000056 2.763 ยฑ0.024
Watt-Tool-8B-Q6_K 7.275772 ยฑ0.045822 99.93% 0.003219 ยฑ0.000027 1.585 ยฑ0.020
Watt-Tool-8B-Q8_0 7.262551 ยฑ0.045671 99.96% 0.001873 ยฑ0.000019 1.209 ยฑ0.015
Watt-Tool-8B-F16 7.237090 ยฑ0.045539 100% N/A N/A

ARC, HellaSwag, MMLU, Truthful QA and WinoGrande scores

Scores generated using llama-perplexity with 750 tasks per test, and a context size of 768 tokens.

For the test data used in the generation of these scores, follow the appropiate links: HellaSwag, ARC, MMLU, Truthful QA and WinoGrande

Model ARC HellaSwag MMLU Truthful QA WinoGrande Avg Score
Watt-Tool-8B-IQ3_M 62.8000 ยฑ1.7661 78.00 37.7333 ยฑ1.7711 32.1333 ยฑ1.7063 73.6000 ยฑ1.6106 56.85
Watt-Tool-8B-IQ3_S 62.0000 ยฑ1.7736 76.26 37.3333 ยฑ1.7674 30.4000 ยฑ1.6807 72.9333 ยฑ1.6235 55.79
Watt-Tool-8B-IQ4_NL 63.4667 ยฑ1.7594 77.73 39.6000 ยฑ1.7870 31.4667 ยฑ1.6968 75.4667 ยฑ1.5722 57.55
Watt-Tool-8B-Q3_K_L 61.7333 ยฑ1.7759 77.20 38.5333 ยฑ1.7783 32.4000 ยฑ1.7100 71.8667 ยฑ1.6430 56.35
Watt-Tool-8B-Q3_K_M 61.0667 ยฑ1.7816 77.20 38.5333 ยฑ1.7783 33.3333 ยฑ1.7225 73.0667 ยฑ1.6209 56.64
Watt-Tool-8B-Q3_K_S 58.2667 ยฑ1.8018 75.60 38.1333 ยฑ1.7748 33.2000 ยฑ1.7207 73.6000 ยฑ1.6106 55.76
Watt-Tool-8B-Q4_K_M 65.7333 ยฑ1.7342 77.73 39.4667 ยฑ1.7860 30.9333 ยฑ1.6889 74.0000 ยฑ1.6027 57.57
Watt-Tool-8B-Q4_K_M (naive) 62.5668 ยฑ1.7707 77.73 42.0000 ยฑ1.8034 36.8098 ยฑ2.6753 73.6000 ยฑ1.6106 58.54
Watt-Tool-8B-Q4_K_S 65.8667 ยฑ1.7325 78.00 39.4667 ยฑ1.7860 30.5333 ยฑ1.6828 73.2000 ยฑ1.6184 57.41
Watt-Tool-8B-Q5_K_M 65.7333 ยฑ1.7342 78.66 40.9333 ยฑ1.7967 33.7333 ยฑ1.7276 75.0667 ยฑ1.5808 58.83
Watt-Tool-8B-Q5_K_S 65.7333 ยฑ1.7342 78.66 41.6000 ยฑ1.8010 33.6000 ยฑ1.7259 74.5333 ยฑ1.5919 58.83
Watt-Tool-8B-Q6_K 66.1333 ยฑ1.7292 79.33 40.1333 ยฑ1.7910 33.0667 ยฑ1.7190 74.5333 ยฑ1.5919 58.64
Watt-Tool-8B-Q8_0 65.8667 ยฑ1.7325 78.67 41.0667 ยฑ1.7976 32.9333 ยฑ1.7172 74.5333 ยฑ1.5919 58.61
Watt-Tool-8B-F16 65.8667 ยฑ1.7325 78.67 40.9333 ยฑ1.7967 32.9333 ยฑ1.7172 74.8000 ยฑ1.5864 58.64

Tokens per Second - Benchmarks

Scores generated using llama-bench. Naive Q4_K_M quantization included for comparison.

model size params backend threads test t/s
Watt-Tool-8B-Q4_K_M 4.10 GiB 8.03 B Metal,BLAS 6 pp512 313.03 ยฑ 1.17
Watt-Tool-8B-Q4_K_M 4.10 GiB 8.03 B Metal,BLAS 6 tg128 27.97 ยฑ 0.08
Watt-Tool-8B-Q4_K_M 4.10 GiB 8.03 B Metal,BLAS 6 pp1024+tg1024 44.64 ยฑ 0.22
Watt-Tool-8B-Q4_K_M (naive) 4.58 GiB 8.03 B Metal,BLAS 6 pp512 327.42 ยฑ 0.47
Watt-Tool-8B-Q4_K_M (naive) 4.58 GiB 8.03 B Metal,BLAS 6 tg128 26.18 ยฑ 0.08
Watt-Tool-8B-Q4_K_M (naive) 4.58 GiB 8.03 B Metal,BLAS 6 pp1024+tg1024 42.69 ยฑ 0.09

Metrics used

Perplexity: one of the key metrics used in NLP evaluation. It measures the quality of a language model by evaluating how well it predicts the next token given a particular sequence of words. A PPL of 1 indicates an exact match between predicted and actual, whereas values greater than one indicate a degree of "surprise" the generated token differs from the expected.

Kullbackโ€“Leibler (KL) Divergence: a statistical measure of how much a probability distribution differs from another. When quantizing models (or altering the original tensors in any way for that matter), the closest we can preserve the weights' probability distribution to the original model the better, thus the closest to 0 the better.

AI2 Reasoning Challenge (ARC): a benchmark to evaluate the ability of AI models to answer complex science questions that require logical reasoning beyond pattern matching.

HellaSwag: the Harder Endings, Longer contexts, and Low-shot Activities for Situations With Adversarial Generations (bit of a mouthful!) is a benchmark designed to test commonsense natural language inference. It requires the model to predict the most likely ending of a sentence.

MMLU: the Massive Multitask Language Understanding evaluates LLMsโ€™ general knowledge and problem-solving abilities across 57 subjects, including elementary mathematics, US history, computer science, and law.

Truthful QA: evaluates how well LLMs generate truthful responses to questions. It identifies whether AI models can avoid generating false or misleading information, particularly in areas where human knowledge is prone to misconceptions.

Winogrande: based on the Winograd Schema Challenge, is a natural language understanding task requiring models to resolve ambiguities in sentences involving pronoun references.

Credits

A big Thank You! to Colin Kealty for the many contributions and for being one of the best sources of high quality quantized models available in Hugginface, and a really big Thank You! to Georgi Gerganov for his amazing work with llama.cpp and the ggml/gguf libraries.

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