I'm intrigued to learn that some Stockfish developers think that it would beat AlphaZero under conventional rules for chess engine competitions.
https://en.wikipedia.org/wiki/AlphaZero#Reactions_and_criticisms
Even if that's fair, AlphaZero is still a very impressive demonstration of their ML approach.
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Since AlphaZero isn't open source, a group of enthusiasts have written a public project Leela Chess Zero based on the paper. When new versions of the paper come out, they are able to refine their implementation!
AlphaZero is interesting, but the paper lacks replication details and was not necessarily a fair test against Stockfish: https://medium.com/@josecamachocollados/is-alphazero-really-a-scientific-breakthrough-in-ai-bf66ae1c84f2