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I finally found through a script several games where (not so big) divergence occurs!
I analized roughly 3000 games with time control 15+3 and just 10 show a notable divergence.
It's interesting and intuitively correct that this happens a lot more when black wins! Indeed in the list below there are 3 wins by white, 6 by black and 1 draw even if black wins ...
3
Chess engines just don't work that way. They don't have a "risk" or a "just in case" module. They just try to maximize their eval function. (They value stuff like king safety, but that's something different).
Typical case: on a given position white has an easy to calculate simplification that takes to a trivially winning K+P vs K endgame. ...
2
Since this position has less than 6 pieces, the full checkmating line can be produced with the Shredder's online 6 piece DTM tablespace. Here is the full checkmating line that I obtained by playing through it.
[FEN "8/5p2/5k2/8/3K2p1/6P1/8/8 w - - 0 1"]
1. Kd5 Kf5 2. Kd4 Ke6 3. Ke4 f5+ 4. Kf4 Kf6 5. Ke3 Ke5 6. Kd3 f4 7. Ke2 f3+ 8. Ke1 f2+ 9. Kxf2 ...
1
This happens, but it's rare and is getting rarer. Here's a very recent game between Stoofvlees and Komodo Dragon displaying such eval divergence. The discrepancy was only there for a few moves, too.
Edit: As I said this does not happen often and it's getting rarer. Examples of Stockfish-Leela games in the past where it happened are this game from Season 15 ...
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