Primate Labs has analyzed Geekbench 2 scores for the phone, comparing it to a number of other smartphones including the iPhone 5 From MacRumors:

The analysis shows the new Samsung flagship is significantly faster than competing phones including the HTC One, and its predecessor, the Samsung Galaxy S3. However, the S3 also benchmarked faster than the iPhone 5. From John Poole's analysis: The Samsung Galaxy S 4 is twice as fast as the Samsung Galaxy S 3.

 Samsung Galaxy S 4 Benchmarks Nearly Twice as Fast as iPhone 5