I did that for a presentation a couple of years ago, but I can't seem to find the latex file with the complete expression. As I remember, there were around 50 terms on the LHS, with all sorts of permutations of up to 4 factors of g per term, the whole thing looked remarkably messy and lacked any visible patterns.

You can reconstruct it by hand in less than an hour, starting here

http://en.wikipedia.org/wiki/Einstein_tensor