Is div.container faster than .container ? You know like in jquery if you be more specific with your selectors it is faster since it iterat
Generally, the fewer the rules the better, so .container would be faster than div.container. Apart from caching, the .container gets read first, then other elements have to have the div added on as a second-level filter... unnecessary in many circumstances.
This is pretty common across engine, though there are some minor deltas.
See this article: Writing efficient CSS, which although it is from MDN (and is therefore Mozilla-geared) holds true for most of what I know about the engines in general.