PACE: A Piece-Wise Approximate Floating-Point Divider with Runtime Configurability and High Energy Efficiency

Approximate computing emerges as a viable solution to enhance energy efficiency in applications sensitive to human perception, particularly on edge devices. This work introduces a novel piece-wise approximate floating-point divider that boasts resource efficiency and runtime configurability. Our method leverages a piece-wise approximation algorithm for computing 1/y by exploiting powers of 2, complemented by an error compensation technique grounded in thorough mathematical analysis. This approach facilitates the realization of a reciprocal-based floating-point divider devoid of multipliers, which not only mitigates hardware resource consumption but also reduces latency. Additionally, we unveil a multi-level runtime configurable hardware architecture that significantly improves flexibility across diverse application contexts. Compared to the existing state-of-the-art approximate dividers and truncated exact dividers, our proposed solution achieves a superior compromise between precision and resource efficiency. Application-level evaluations reveal that our design provides over 87.7% energy saving, while maintaining a negligible impact on output quality.