Regression Modeling Strategies for Microarchitectural Performance and Power Prediction

We propose regression modeling as an effective approach for accurately predicting performance and power for various applications executing on any microprocessor configuration in a large microarchitectural design space. This report addresses fundamental challenges in microarchitectural simulation costs via statistical modeling. Specifically, we derive and validate regression models for performance and power. Such models enable computationally efficient statistical inference, requiring the simulation of only 1 in 5 million points of a joint microarchitecture-application design space while achieving error rates as low as 4.1 percent for performance and 4.3 percent for power. Although both models achieve similar accuracy, the sources of accuracy are strikingly different. We present optimizations for a baseline regression model to obtain (1) per benchmark application-specific models designed to maximize accuracy in performance prediction and (2) regional power models leveraging only the most relevant samples from the microarchitectural design space to maximize accuracy in power prediction. Assessing model sensitivity to sample and region sizes, we find 4,000 samples from a design space of approximately 22 billion points, are sufficient for both application-specific and regional modeling and prediction. Collectively, our results suggest significant potential in accurate and efficient statistical inference for microarchitectural design space exploration via regression models.Engineering and Applied Science

REPP-H: runtime estimation of power and performance on heterogeneous data centers

Modern data centers increasingly demand improved performance with minimal power consumption. Managing the power and performance requirements of the applications is challenging because these data centers, incidentally or intentionally, have to deal with server architecture heterogeneity [19], [22]. One critical challenge that data centers have to face is how to manage system power and performance given the different application behavior across multiple different architectures.This work has been supported by the EU FP7 program (Mont-Blanc 2, ICT-610402), by the Ministerio de Economia (CAP-VII, TIN2015-65316-P), and the Generalitat de Catalunya (MPEXPAR, 2014-SGR-1051). The material herein is based in part upon work supported by the US NSF, grant numbers ACI-1535232 and CNS-1305220.Peer ReviewedPostprint (author's final draft

Informed microarchitecture design space exploration using workload dynamics

Program runtime characteristics exhibit significant variation. As microprocessor architectures become more complex, their efficiency depends on the capability of adapting with workload dynamics. Moreover, with the approaching billion-transistor microprocessor era, it is not always economical or feasible to design processors with thermal cooling and reliability redundancy capabilities that target an application’s worst case scenario. Therefore, analyzing complex workload dynamics early, at the microarchitecture design stage, is crucial to forecast workload runtime behavior across architecture design alternatives and evaluate the efficiency of workload scenariobased architecture optimizations. Existing methods focus exclusively on predicting aggregated workload behavior. In this paper, we propose accurate and efficient techniques and models to reason about workload dynamics across the microarchitecture design space without using detailed cyclelevel simulations. Our proposed techniques employ waveletbased multiresolution decomposition and neural network based non-linear regression modeling. We extensively evaluate the efficiency of our predictive models in forecasting performance, power and reliability domain workload dynamics that the SPEC CPU 2000 benchmarks manifest on high-performance microprocessors with a microarchitecture design space that consists of 9 key parameters. Our results show that the models achieve high accuracy in revealing workload dynamic behavior across a large microarchitecture design space. We also demonstrate that the proposed techniques can be used to efficiently explore workload scenario-driven architecture optimizations. 1

Analyzing and Predicting Processor Vulnerability to Soft Errors Using Statistical Techniques

The shrinking processor feature size, lower threshold voltage and increasing on-chip transistor density make current processors highly vulnerable to soft errors. Architectural Vulnerability Factor (AVF) reflects the probability that a raw soft error eventually causes a visible error in the program output, indicating the processor’s susceptibility to soft errors at architectural level. The awareness of the AVF, both at the early design stage and during program runtime, is greatly useful for designing reliable processors. However, measuring the AVF is extremely costly, resulting in large overheads in hardware, computation, and power. The situation is further exacerbated in a multi-threaded processor environment where resource contention and data sharing exist among different threads. Consequently, predicting the AVF from other easily-measured metrics becomes extraordinarily attractive to computer designers. We propose a series of AVF modeling and prediction works via using advanced statistical techniques. First, we utilize the Boosted Regression Trees (BRT) scheme to dynamically predict the AVF during program execution from a variety of performance metrics. This correlation is generalized to be across different workloads, program phases, and processor configurations on a single-threaded superscalar processor. Second, the AVF prediction is extended to multi-threaded processors where the inter-thread resource contention shows significant and non-uniform impacts on different programs; we propose a two-level predictive mechanism using BRT as building blocks to characterize the contention behavior. Finally, we employ a rule search strategy named Patient Rule Induction Method (PRIM) to explore a large processor design space at the early design stage. We are capable of generating selective rules on important configuration parameters. These rules quantify the design space subregion yielding lowest values of the response, thereby providing useful guidelines for designing reliable processors while achieving high performance

Processor design space exploration and performance prediction

The use of simulation is well established in processor design research to evaluate architectural design trade-offs. More importantly, Cycle by Cycle accurate simulation is widely used to evaluate the new designs in processor research because of its accurate and detailed processor performance measurement. However, only configuration in a subspace can be simulated in practice due to its long simulation time and limited resources, leading to suboptimal conclusions that might not be applied to the larger design space. In this thesis, we propose a performance prediction approach which employs a state-of-the-art technique from experimental design, machine learning and data mining. Our model can be trained initially by using Cycle by Cycle accurate simulation results, and then it can be implemented to predict the processor performance of the entire design space. According to our experiments, our model predicts the performance of a single-core processor with median percentage error ranging from 0.32% to 3.01% for about 15 million design spaces by using only 5000 initial independently sampled design points as a training set. In CMP the median percentage error ranges from 0.50% to 1.47% for about 9.7 million design spaces by using only 5000 independently sampled CMP design points as a training set. Apart from this, the model also provides quantitative interpretation tools such as variable importance and partial dependence of the design parameters

Racing to hardware-validated simulation

Processor simulators rely on detailed timing models of the processor pipeline to evaluate performance. The diversity in real-world processor designs mandates building flexible simulators that expose parts of the underlying model to the user in the form of configurable parameters. Consequently, the accuracy of modeling a real processor relies on both the accuracy of the pipeline model itself, and the accuracy of adjusting the configuration parameters according to the modeled processor. Unfortunately, processor vendors publicly disclose only a subset of their design decisions, raising the probability of introducing specification inaccuracies when modeling these processors. Inaccurately tuning model parameters deviates the simulated processor from the actual one. In the worst case, using improper parameters may lead to imbalanced pipeline models compromising the simulation output. Therefore, simulation models should be hardware-validated before using them for performance evaluation. As processors increase in complexity and diversity, validating a simulator model against real hardware becomes increasingly more challenging and time-consuming. In this work, we propose a methodology for validating simulation models against real hardware. We create a framework that relies on micro-benchmarks to collect performance statistics on real hardware, and machine learning-based algorithms to fine-tune the unknown parameters based on the accumulated statistics. We overhaul the Sniper simulator to support the ARM AArch64 instruction-set architecture (ISA), and introduce two new timing models for ARM-based in-order and out-of-order cores. Using our proposed simulator validation framework, we tune the in-order and out-of-order models to match the performance of a real-world implementation of the Cortex-A53 and Cortex-A72 cores with an average error of 7% and 15%, respectively, across a set of SPEC CPU2017 benchmarks

Applied inference

We propose and apply a new simulation paradigm for microarchitectural design evaluation and optimization. This paradigm enables more comprehensive design studies by combining spatial sampling and statistical inference. Specifically, this paradigm (i) defines a large, comprehensive design space, (ii) samples points from the space for simulation, and (iii) constructs regression models based on sparse simulations. This approach greatly improves the computational efficiency of microarchitectural simulation and enables new capabilities in design space exploration. We illustrate new capabilities in three case studies for a large design space of approximately 260,000 points: (i) Pareto frontier, (ii) pipeline depth, and (iii) multiprocessor heterogeneity analyses. In particular, regression models are exhaustively evaluated to identify Pareto optimal designs that maximize performance for given power budgets. These models enable pipeline depth studies in which all parameters vary simultaneously with depth, thereby more effectively revealing interactions with nondepth parameters. Heterogeneity analysis combines regression-based optimization with clustering heuristics to identify efficient design compromises between similar optimal architectures. These compromises are potential core designs in a heterogeneous multicore architecture. Increasing heterogeneity can improve bips3/w efficiency by as much as 2.4×, a theoretical upper bound on heterogeneity benefits that neglects contention between shared resources as well as design complexity. Collectively these studies demonstrate regression models' ability to expose trends and identify optima in diverse design regions, motivating the application of such models in statistical inference for more effective use of modern simulator infrastructure.Engineering and Applied Science

Power Modeling and Resource Optimization in Virtualized Environments

The provisioning of on-demand cloud services has revolutionized the IT industry. This emerging paradigm has drastically increased the growth of data centers (DCs) worldwide. Consequently, this rising number of DCs is contributing to a large amount of world total power consumption. This has directed the attention of researchers and service providers to investigate a power-aware solution for the deployment and management of these systems and networks. However, these solutions could be bene\ufb01cial only if derived from a precisely estimated power consumption at run-time. Accuracy in power estimation is a challenge in virtualized environments due to the lack of certainty of actual resources consumed by virtualized entities and of their impact on applications\u2019 performance. The heterogeneous cloud, composed of multi-tenancy architecture, has also raised several management challenges for both service providers and their clients. Task scheduling and resource allocation in such a system are considered as an NP-hard problem. The inappropriate allocation of resources causes the under-utilization of servers, hence reducing throughput and energy e\ufb03ciency. In this context, the cloud framework needs an e\ufb00ective management solution to maximize the use of available resources and capacity, and also to reduce the impact of their carbon footprint on the environment with reduced power consumption. This thesis addresses the issues of power measurement and resource utilization in virtualized environments as two primary objectives. At \ufb01rst, a survey on prior work of server power modeling and methods in virtualization architectures is carried out. This helps investigate the key challenges that elude the precision of power estimation when dealing with virtualized entities. A di\ufb00erent systematic approach is then presented to improve the prediction accuracy in these networks, considering the resource abstraction at di\ufb00erent architectural levels. Resource usage monitoring at the host and guest helps in identifying the di\ufb00erence in performance between the two. Using virtual Performance Monitoring Counters (vPMCs) at a guest level provides detailed information that helps in improving the prediction accuracy and can be further used for resource optimization, consolidation and load balancing. Later, the research also targets the critical issue of optimal resource utilization in cloud computing. This study seeks a generic, robust but simple approach to deal with resource allocation in cloud computing and networking. The inappropriate scheduling in the cloud causes under- and over- utilization of resources which in turn increases the power consumption and also degrades the system performance. This work \ufb01rst addresses some of the major challenges related to task scheduling in heterogeneous systems. After a critical analysis of existing approaches, this thesis presents a rather simple scheduling scheme based on the combination of heuristic solutions. Improved resource utilization with reduced processing time can be achieved using the proposed energy-e\ufb03cient scheduling algorithm