Maybe it's the asynchronous part that is broken. I later changed the program to use the blocking graph.run, signal for completion by hand, and signal the semaphore by hand. With a blocking MPS Graph demo it seems to run properly. But the documentation issue is still very nasty.
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I'm trying out MPS Graph today and faced the exact same issue as yours. Crashes on commit, wrapping it in checks and it will stuck at encoding for Iteration 64, losses are basically 0.0, empty documentation, and the forum post left unreplied for a month. I really wonder if this feature is production ready for developers since it looks nice on the surface and works really terrible on the example project.
My setup: Version 13.4.1 (13F100) macOS 12.5 MacBook Air (M1) 2020 8GB