Thank you for the comment, and the questions are great.

The problems you described here are pretty much precise. In the past, and mostly now, we are replying on the commercial Vivado/Vitis HLS toolchains for the deployment of these networks through hls4ml, a template based compiler of the quantized models to the HLS projects. For this class of fully parallel (II=1) models, the tools usually give fine results, but indeed can be wrong sometimes (great recent example from our college's post: https://sioni.web.cern.ch/2026/03/24/debugging-fastml).

Tool runtime is another issue. For the models discussed in this post, they are not larger than ~30K LUTs, and with the low complexity (~dense only), synthesis time was fine. But for larger ones, like the ones here (https://arxiv.org/abs/2510.24784), it can take up to... a week for one HLS compilation while eating ~80G ram. Can get worse if time multiplex is in place things like #pragma HLS dataflow is used...

Personally, I do not usually DSE on post implementation/HLS results, since for the unrolled logic blocks, ok-ish performance model can be derived obtained w/o doing the synthesis (via ebops defined in HGQ, or better if using heuristics based on the rough cost of low level operations the design will translate to). But there are works doing DSE based on post HLS results (https://arxiv.org/pdf/2502.05850, real vitis synth), or using some other surrogate to get over the problem (e.g., https://arxiv.org/abs/2501.05515, using bops). High-level surrogate models are also being developed (https://arxiv.org/pdf/2511.05615).

We are also trying to get alternatives to the commercial HLS toolflows. For instance, I'm working on the direct to RTL codegen (da4ml) way (optionally via XLS), and the current work-in-progress is at https://github.com/calad0i/da4ml/tree/dev, if you are interested: all combinational or fully pipelined things are supported with reasonable performance model (~10% err in LUTs and ~20% err in latency), but multicycle, or stateful design generations still need a lot of manual intervention (not automated), which are to be implemented in the future. Since at some stages of the trigger chain, the system is/will be time-multiplexed, such functionality will be needed in the future.

Other works on this direction includes adding new backends to hls4ml that are oos (e.g., openhls/XLS), or other alternatives like chisel4ml (https://github.com/cs-jsi/chisel4ml). Hopefully, we will be no-longer reliant on the commercial tools till RTL for the incoming upgrade. That being said, Vivado still appears to be the only choice for the post RTL stages for us.