Equality saturation (eqsat) is a program optimization technique that uses syntax-based term rewriting to simultaneously explore many possible optimizations of a program, storing equivalent programs efficiently in a data structure called an e-graph. By exploring optimizations simultaneously, eqsat mitigates the phase ordering problem, where the order of optimizations significantly affects quality of results. Eqsat is especially promising for Electronics Design Automation (EDA), whose tools suffer from phase ordering. Previous eqsat-for-EDA efforts have focused on single tool stages; while they demonstrate significant benefits within a stage, they do not address phase ordering between stages. When we investigated the reason for their limited scope, we found that previous works struggle to implement an efficient hardware representation useful in both high-level (e.g. arithmetic optimization) and low-level (e.g. logic synthesis) tasks. The root issue is that such a representation must maintain equivalences between the high- and low-level portions of the language. While these equalities are conceptually simple—e.g., two high-level bitvectors are equal if they contain the same low-level bits—maintaining them using syntax-based rewrites alone proves inefficient in modern eqsat engines. In response, this paper makes two contributions. First, we introduce semantic e-graphs, an enhancement to e-graphs that improves performance of a narrow but highly useful class of semantics-based equalities. Second, we present Nextmap, a new eqsat-based hardware optimization engine whose representation uses semantic e-graphs to efficiently bridge high- and low-level hardware expressions. As a result, Nextmap simultaneously runs more EDA stages than previous eqsat-based works, more effectively mitigating phase ordering and reaching previously inaccessible optimizations. Compared with open-source and commercial tools, Nextmap provides competitive quality of results on a range of designs.

During chip development, engineers must target different technologies, such as simulation and various ASIC and FPGA technologies. Conventionally, they split parts of the code (e.g., memories) into separate technology-specialized blocks implementing the same high-level behavior. This leads to brittle code, with multiple but subtly different blocks describing the same semantic behavior, harming verification, agility, and extensibility. We propose fungible memories, an HDL-level "write once, map anywhere" memory abstraction with rich enough semantics to automatically target all relevant technologies using a single generic interface. We incorporate fungible memories into a compiler called Memo. For designs without a specific technology mapping, we also present a memory decompiler which lifts memories from an existing gate-level design to Memo, enabling automated technology re-targeting, which is a holy grail for digital designers. We present a structure-aware equality saturation technique which scales to netlists with millions of cells and identifies memories that the state of the art cannot. We demonstrate that Memo effectively targets backends across different technology platforms (simulation, ASIC, and FPGA) over a suite of representative designs, including a RISC-V multicore SoC.

System-on-chip (SoC) design requires complex reasoning about the interactions between an architectural specification, the microarchitectural datapath (e.g., functional units), and the control logic (which coordinates the datapath) to facilitate the critical computing tasks on which we all depend. Hardware specialization is now the expectation rather than the exception, meaning we need new hardware design tools to bring ideas to reality with both agility and correctness.

We introduce the new problem of hardware decompilation . Analogous to software decompilation, hardware decompilation is about analyzing a low-level artifact—in this case a netlist , i.e., a graph of wires and logical gates representing a digital circuit—in order to recover higher-level programming abstractions, and using those abstractions to generate code written in a hardware description language (HDL). The overall problem of hardware decompilation requires a number of pieces. In this paper we focus on one specific piece of the puzzle: a technique we call hardware loop rerolling . Hardware loop rerolling leverages clone detection and program synthesis techniques to identify repeated logic in netlists (such as would be synthesized from loops in the original HDL code) and reroll them into syntactic loops in the recovered HDL code. We evaluate hardware loop rerolling for hardware decompilation over a set of hardware design benchmarks written in the PyRTL HDL and industry standard SystemVerilog. Our implementation identifies and rerolls loops in 52 out of 53 of the netlists in our benchmark suite, and we show three examples of how hardware decompilation can provide concrete benefits: transpilation between HDLs, faster simulation times over netlists (with mean speedup of 6x), and artifact compaction (39% smaller on average).