Running clinfo -l outputs the following error, which causes it outright fail with my Haswell i5-4570's GPU:
unable to load /usr/lib64/beignet//libgbeinterp.so which is part of the driver, please check!
It would appear that there may be a mistake in Beignet's internal context (for lack of a better term), that causes it to add an unnecessary /, thereby failing to find the file.