A study of hardware performance monitoring counter selection in power modeling of computing systems

Power management and energy savings in high-performance computing has become an increasingly important design constraint. The foundation of many power/energy saving methods is based on power consumption models, which commonly rely on hardware performance monitoring counters (PMCs). Various events are provided by processor manufacturers to be monitored using PMCs. PMC event selection has been mainly based on architectural intuitions. However, efficient use of PMCs requires a carefully selected set of events. Therefore, a comprehensive study of PMC events with regards to power modeling is needed to understand and enhance such power models. In this paper, we study the relationship of PMC events with power consumption in the context of single-PMC and multi-PMC power models. Our OpenMP applications are from NAS Parallel Benchmark (BT, CG, LU, and SP) running on an AMD machine. We present the single-PMC selection results for each of our test applications, as well as a unified list for all four applications. Unlike other work that do not consider PMCs as each others´ covariates, we present a method to select the most correlated set of PMC events for a given application. Our method finds the desired set of events with 6 times less number of executions compared to a principal component analysis (PCA) method. In addition, we have investigated variability of measurement for correlation coefficients. The 95% confidence interval of power-PMC and PMC-PMC correlation coefficients falls within 1.6% and 2.3% of their measured values, respectively. Furthermore, we study the power and PMC trends in the context of time-series and show that power estimates can be enhanced more than common regression methods. We show that the ARMAX model, a time-series candidate for real-time power estimation, can estimate system power consumption with a mean absolute error (total signal) of 0.1-0.5% in our applications.