Improved optimizations which will also be easier to implement, with the result being faster and also typically smaller code.
You don't need to add every optimization known to man to a compiler, so you can sometimes keep a few of the important ones and then skip every other optimization. A priori, I'd guess SSA would speed up the compiler, which means you end up having a better budget for the more expensive optimizations.
[1] https://github.com/golang/go/blob/master/src/cmd/compile/int...
[2] http://pp.info.uni-karlsruhe.de/uploads/publikationen/braun1...
SSA is a conversion of the program into a representation of its data flow. I've used it in multiple compilers and found it to be a big win for easing other analyses (e.g., induction variable recognition become trivial) and reducing bugs due to the update problem.