Intel is faster with basic applications. What makes them fall behind is that most intel laptops have intel graphics.
Example: You want to browse the internet, do school work, watch videos etc. Then an intel CPU with the intel gpu is fine.
However, if you are interested in more, like photoshop, video games, 3d modeling,anything that requires loading high amounts of effects/textures/polygons then you'll want an AMD APU. Which has an AMD CPU and an AMD GPU combined.
In computers there is such thing as a bottle neck. Most people with basic computer knowledge don't really understand it. They see that the CPU is faster and automatically assume that the computer is completely fast altogether which just isn't true. Most of the times, the CPU is more powerful than the GPU can keep up with in laptops and thus, you're laptop is only as fast as the gpu is in terms of using programs like photoshop, 3d modeling, gaming etc. So you end up not getting the full performence out of the laptop if you wish to do those things, and there's no way to upgrade the GPU in a common laptop, so it's set in stone. I personally would always go with AMD in laptops, due to their APU which his an advanced graphics module and a decent cpu to fit it well. Thus I can run basic programs just as well as the intel one and then not limit myself in 3D programs just because my gpu can't keep up.
As for the guy that said that AMD's steam roller will barely keep up with intel's hasewell. The next gen steam roller and hasewell are already out. Haswell was only a 10% speed increase from the last generation, even tho AMD didn't increase performance by a lot, not keeping up doesn't mean it's slow. It's like the flash vs his nephew in a race. They're both extremely fast, and you're not going to really notice a difference in basic programs unless you're doing number crunching and benchmarks.