Offhand procs at half the frequency of main hand. At 200+ dex will see on average 2 procs a minute mainhand and 1 a minute offhand. Procs can be streaky. You might see 6 in a minute or none in 3-4 minutes ... it averages out though. You do not have to hit the mob to fire a proc - you just have to swing.
Haste and slow do NOT affect average proc rate over time - they simply make you more or less likely to proc with any given swing. The proc rate over time is only modified by dexterity.
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