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developer-tools Empirical Specification

FP8 vs INT8 Quantization: E4M3/E5M2 Dynamic Exponents vs SmoothQuant Fixed Point

Floating-point dynamic exponent range versus integer fixed-point activation smoothing

Governing Equation & Conversion Identity Deterministic Formula
FP8 Dynamic Range: E4M3 = [-448, 448], E5M2 = [-57344, 57344]; INT8 Range: [-128, 127]; Quantization SNR = 10 * log10(Var(X) / MSE)

FP8 (8-bit floating point, standardized via OCP as E4M3 and E5M2) has superseded INT8 as the premier quantization format for frontier LLM serving on modern hardware (NVIDIA Ada Lovelace, Hopper, Blackwell, and AMD CDNA3). With dynamic floating-point exponent bits, FP8 accommodates extreme activation outliers without requiring complex channel-splitting transformations like SmoothQuant or LLM.int8(). Native hardware FP8 tensor cores deliver 2x higher math throughput over 16-bit floating point with negligible perplexity degradation.

Technical Tradeoff & Benchmark Matrix

Quantization Standard FP8 (OCP E4M3 / E5M2) INT8 (SmoothQuant / LLM.int8())
Numerical Representation Floating point: 1 sign + 4 exponent + 3 mantissa (E4M3) or 1+5+2 (E5M2) Fixed-point two's complement integer: 1 sign + 7 integer bits
Dynamic Range Up to +/- 448 (E4M3) and +/- 57,344 (E5M2) with dynamic scale factors Strictly clamped between -128 and +127 with linear step spacing
Activation Outlier Handling Logarithmic spacing naturally handles high-magnitude outlier activations Requires mathematical channel smoothing (SmoothQuant) to prevent saturation
Hardware Acceleration Native dual-issue tensor cores on NVIDIA Hopper (H100), Ada, and Blackwell Supported on older architectures (Ampere, Turing) via INT8 DP4A instructions
Perplexity Retention Near-lossless (<0.1 perplexity delta on Llama 3 70B and DeepSeek-V3) Noticeable degradation on models > 30B without outlier channel retention
Serving Engine Support Default standard in vLLM, TensorRT-LLM, SGLang, and Hugging Face TGI Legacy support; largely deprecated for new model serving deployments

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Frequently Asked Questions & Technical Analysis

Q: What is the difference between FP8 E4M3 and FP8 E5M2?

E4M3 allocates 4 bits to the exponent and 3 to the mantissa, maximizing numerical precision within a bounded dynamic range (+/- 448). It is standard for forward-pass weights and activations. E5M2 allocates 5 bits to the exponent and 2 to the mantissa, providing a massive dynamic range (+/- 57,344) equivalent to FP16, making it optimal for backward-pass gradients and KV cache scaling.

Q: Does FP8 reduce GPU memory bandwidth requirements during inference?

Yes. Cutting weight precision from 16-bit BF16/FP16 to 8-bit FP8 halves the total number of bytes transferred from HBM to SRAM for every model layer. In memory-bandwidth-bound decoding workloads, this translates directly to up to 2x faster token generation rates.

Related Architectural & Empirical Matrices