Thoughtful Precision in Mini-Apps

Approximate computing addresses many of the identified challenges for exascale computing, leading to performance improvements that may include changes in fidelity of calculation. In this paper, we examine approximate approaches for a range of DOE-relevant computational problems run on a variety of architectures as a proxy for the wider set of exascaleclass applications.We show anticipated improvements in computational and memory performance and in power savings. We also assess application correctness when operating under conditions of reduced precision, and show that this is within acceptable bounds. Finally, we discuss the trade space between performance, power, precision and resolution for these mini-apps, and optimized solutions attained within given constraints, with positive implications for application of approximate computing to exascale-class problems.