http://bugs.winehq.org/show_bug.cgi?id=10206
--- Comment #13 from Luke Bratch l_bratch@yahoo.co.uk 2007-11-29 10:46:52 --- It might be worth noting that the ultra low framerate only occurs when it isn't the first run.
On the first run, the framerate is very good (around 20 fps) but the graphical errors are still there.
On subsequent runs, the framerate drops to less than 1.
Deleting the ~/My\ Games/Crysis_SP_DEMO/ directory that the game creates resets it to its "first run" status.
That directory contains a /Shaders/Cache/D3D9/ directory, which is perhaps something to do with it.