I've worked a bit on inductive syntax-guided synthesis, but did it at the worst time -- right before it was made obsolete by LLMs: https://grgv.xyz/inductive_program_synthesis/
Seems more like LLMs made something more immediately useful.
Trouble with ILP is that it doesn't work on GPUs (as of April 2024) and on CPUs synthesis and other forms of learning are hopeless. That may change in the future ...