Hi, I work on Stockfish! Likely what's going on is that your Lichess instance is running in MultiPV mode, which displays the top N moves (5 by default, iirc). This can be useful for analysis, but it leads to more time exploring disfavored lines, and therefore lower depth. The desktop version defaults to MultiPV = 1.

Have you compared the versions of Stockfish in each?

In Lichess I think you can also choose different eval nets. There's a small one and a big one. That will affect N/s.

Have you compared how many threads each are using?

Furthermore, Lichess Stockfish is a WASM build while your local Stockfish is a native binary executable.

Many have already mentioned number of variations will significantly affect time to a certain depth.

Most of Lichess is open source, have you tried looking there to see how Lichess interacts with Stockfish? https://github.com/lichess-org

Confirm in the network tab that you are going 100% local on lichess. My shot in the dark (I don’t contribute to their codebase) is that you’re offloading some analysis to Fishnet[1]

I would rule that out first

1: https://lichess.org/get-fishnet

The lichess one might be in "multi-line" mode

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Lichess uses a smaller net by default. Default lichess net is custom made by stockfish to be small

You may want to ask in the Stockfish discord: https://discord.com/invite/GWDRS3kU6R

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