Well, your CPU is about 10% slower on the PC but may not be too much of an impact. You are also on Win 8.1 for the PC vs. 8.0 on the laptop. There have been some issues with 8.1, so that could be coming in to play a litle bit too.

The biggest issue I see may be your graphics card though. The PC is showing both an AMD and a nVidia GPU is available. THe AMD APU has onboard graphics (HD 7480D) that is about on par with te Intel HD4000 in the laptop, but you have the slower CPU in play, as well as no dedicated graphics memory (you are siphoning off your system memory, of which the PC has less than the laptop, which may be another issue at play). You may be running against the AMD one--need to look into making sure you are running against the nVidia GPU. Even though it still shares system memory, it's raw GPU power is about 25% better than the AMD on the APU.

So, two things to look into first--make sure you are running on the nVidia graphics and not the AMD. Second, look into more or possibly better system memory.

You can run the Windows Experience index tests on them through an elevated command prompt if you want to compare them. In 8.1, the WEI is no longer available in system properties, but you can get at the raw scores in text form via the command window. In the run/search box, type the letters "cmd". You should see an icon pop up for the cmd command in the results. Right-click that and run it as Admin. Now you can run the winsat commands for the WEI tests:

winsat mem
winsat cpu

These should give some raw results that you can compare directly against the two machines for those two components.

The graphics one may not work as well because of the two GPU's in the PC... IDK if it will properly pick up the nvidia over the amd this way. In theory, it should if you set Optimus to use nVidia for all 3D, but who knows:

winsat d3d -dx9