There's a couple tutorials below that explain some CB Auto Actions use cases.
www.joomlapolis.com/support/tutorials/107-use-cases
Aside from that it's designed to be self explanatory (there is no documentation for incubator projects). Basically you select the type of action (e.g. Field) then the trigger you want it to fire on (after registration, profile update, etc..) next select the access (everybody is usually best). You can then input substitution support conditions (e.g. [cb_field1] Equal To XYZ) and configure the details of whatever action you've selected.