We report on an extension to the C-Reduce tool, for automatic reduction of C test cases, to handle OpenCL kernels. This enables an automated method for detecting bugs in OpenCL compilers, by generating large random kernels using the CLsmith generator, identifying kernels that yield result differences across OpenCL platforms and optimisation levels, and using our novel extension to C-Reduce to automatically reduce such kernels to minimal forms that can be filed as bug reports. A major part of our effort involved the design of ShadowKeeper, a new plugin for the Oclgrind simulator that provides accurate detection of accesses to uninitialised data. We present experimental results showing the effectiveness of our method for finding bugs in a number of OpenCL compilers.