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. Given that the Samsung Galaxy S 3 is less than a year old, that's a remarkable achievement. I am amazed at how quickly smartphone technology is improving.
The Samsung Galaxy S 4 is also twice as fast as the Apple iPhone 5. Apple has improved performance dramatically in the past (there was 2.5x increase in performance from the iPhone 4S to the iPhone 5). Will they be able to make a similar improvement for the next iPhone?
Though the iPhone does benchmark somewhat slower than its competitors, Apple's close integration of software and hardware leads to significant performance gains that Android phones can't easily replicate.