In this Era PS4 and XboxOne both are latest generation Consoles, both are good enough to run anything you throw at it, the performance level of both products climbed to the new high level, and you can say this is a coincidence that both Consoles are using a customized version of the APU from AMD, so the architecture is almost same.
In terms of performance on both the Consoles their is a contrast from the date of release, the GPU of PS4 specification is more powerful than XboxOne, Ps4 is also using Gdd5 Memory, So the in terms of Graphics performance PS4 is taking a lead. But the Processor Clocked of PS4 is still unknown (previously there are some news that PS4 Processor is clocked at 2.0GHz). The XboxOne is equipped with AMD Processor Clocked at 1.75GHZ.
Today, the British media exposure PS4 processor clocked at 1.6GHz, up to 43 times the overall performance of the PS2 (this comparison is actually very boring, Ps2 is not a product of this time).
As a comparison, Xbox One of the CPU clocked at 1.75GHz, based on the same low-power AMD eight-core architecture on Jaguar, Xbox One will represent a slightly higher clock speed of its processor performance will be stronger, but This is to enhance the overall performance is limited, after all critical aspects of Xbox One performance is looking better than PS4.