Exploiting Generational Lifetime Behavior to Improve Processor Power
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Caching Basics
Introduction Why memory subsystem design is important • CPU speeds increase 25%-30% per year • DRAM speeds increase 2%-11% per year Autumn 2006 CSE P548 - Memory Hierarchy 1 Memory Hierarchy Levels of memory with different sizes & speeds • close to the CPU: small, fast access • close to memory: large, slow access Memory hierarchies improve performance • caches: demand-driven storage • principal of locality of reference temporal: a referenced word will be referenced again soon spatial: words near a reference word will be referenced soon • speed/size trade-off in technology ⇒ fast access for most references First Cache: IBM 360/85 in the late ‘60s Autumn 2006 CSE P548 - Memory Hierarchy 2 1 Cache Organization Block: • # bytes associated with 1 tag • usually the # bytes transferred on a memory request Set: the blocks that can be accessed with the same index bits Associativity: the number of blocks in a set • direct mapped • set associative • fully associative Size: # bytes of data How do you calculate this? Autumn 2006 CSE P548 - Memory Hierarchy 3 Logical Diagram of a Cache Autumn 2006 CSE P548 - Memory Hierarchy 4 2 Logical Diagram of a Set-associative Cache Autumn 2006 CSE P548 - Memory Hierarchy 5 Accessing a Cache General formulas • number of index bits = log2(cache size / block size) (for a direct mapped cache) • number of index bits = log2(cache size /( block size * associativity)) (for a set-associative cache) Autumn 2006 CSE P548 - Memory Hierarchy 6 3 Design Tradeoffs Cache size the bigger the cache, + the higher the hit ratio -
45-Year CPU Evolution: One Law and Two Equations
45-year CPU evolution: one law and two equations Daniel Etiemble LRI-CNRS University Paris Sud Orsay, France [email protected] Abstract— Moore’s law and two equations allow to explain the a) IC is the instruction count. main trends of CPU evolution since MOS technologies have been b) CPI is the clock cycles per instruction and IPC = 1/CPI is the used to implement microprocessors. Instruction count per clock cycle. c) Tc is the clock cycle time and F=1/Tc is the clock frequency. Keywords—Moore’s law, execution time, CM0S power dissipation. The Power dissipation of CMOS circuits is the second I. INTRODUCTION equation (2). CMOS power dissipation is decomposed into static and dynamic powers. For dynamic power, Vdd is the power A new era started when MOS technologies were used to supply, F is the clock frequency, ΣCi is the sum of gate and build microprocessors. After pMOS (Intel 4004 in 1971) and interconnection capacitances and α is the average percentage of nMOS (Intel 8080 in 1974), CMOS became quickly the leading switching capacitances: α is the activity factor of the overall technology, used by Intel since 1985 with 80386 CPU. circuit MOS technologies obey an empirical law, stated in 1965 and 2 Pd = Pdstatic + α x ΣCi x Vdd x F (2) known as Moore’s law: the number of transistors integrated on a chip doubles every N months. Fig. 1 presents the evolution for II. CONSEQUENCES OF MOORE LAW DRAM memories, processors (MPU) and three types of read- only memories [1]. The growth rate decreases with years, from A. -
Criticalreading #Wickedproblem
#CRITICALREADING #WICKEDPROBLEM We have a “wicked problem” . and that is a fantastic, engaging, exciting place to start. Carolyn V. Williams1 I. INTRODUCTION I became interested in the idea of critical reading—“learning to evaluate, draw inferences, and arrive at conclusions based on evidence” in the text2—when I assumed that my students would show up to law school with this skill . and then, through little fault of their own, they did not. I have not been the only legal scholar noticing this fact. During the 1980s and 90s a few legal scholars conducted research and wrote about law students’ reading skills.3 During the 2000s, a few more scholars wrote about how professors can help develop critical reading skills in law students.4 But it has not been until the past few years or so that legal scholars have begun to shine a light on just how deep the problem of law students’ critical reading skills 1 Professor Williams is an Associate Professor of Legal Writing & Assistant Clinical Professor of Law at the University of Arizona, James E. Rogers College of Law. Thank you to Dean Marc Miller for supporting this Article with a summer research grant. Many thanks to the Legal Writing Institute for hosting the 2018 We Write Retreat and the 2018 Writers’ Workshop and to the participants at each for their comments and support of this project. A heartfelt thank you to Mary Beth Beazley, Kenneth Dean Chestek, and Melissa Henke for graciously providing comments on prior drafts of this Article. Thank you to my oldest Generation Z child for demonstrating independence and the desire to fix broken systems so that I know my solution is possible. -
Hierarchical Roofline Analysis for Gpus: Accelerating Performance
Hierarchical Roofline Analysis for GPUs: Accelerating Performance Optimization for the NERSC-9 Perlmutter System Charlene Yang, Thorsten Kurth Samuel Williams National Energy Research Scientific Computing Center Computational Research Division Lawrence Berkeley National Laboratory Lawrence Berkeley National Laboratory Berkeley, CA 94720, USA Berkeley, CA 94720, USA fcjyang, [email protected] [email protected] Abstract—The Roofline performance model provides an Performance (GFLOP/s) is bound by: intuitive and insightful approach to identifying performance bottlenecks and guiding performance optimization. In prepa- Peak GFLOP/s GFLOP/s ≤ min (1) ration for the next-generation supercomputer Perlmutter at Peak GB/s × Arithmetic Intensity NERSC, this paper presents a methodology to construct a hi- erarchical Roofline on NVIDIA GPUs and extend it to support which produces the traditional Roofline formulation when reduced precision and Tensor Cores. The hierarchical Roofline incorporates L1, L2, device memory and system memory plotted on a log-log plot. bandwidths into one single figure, and it offers more profound Previously, the Roofline model was expanded to support insights into performance analysis than the traditional DRAM- the full memory hierarchy [2], [3] by adding additional band- only Roofline. We use our Roofline methodology to analyze width “ceilings”. Similarly, additional ceilings beneath the three proxy applications: GPP from BerkeleyGW, HPGMG Roofline can be added to represent performance bottlenecks from AMReX, and conv2d from TensorFlow. In so doing, we demonstrate the ability of our methodology to readily arising from lack of vectorization or the failure to exploit understand various aspects of performance and performance fused multiply-add (FMA) instructions. bottlenecks on NVIDIA GPUs and motivate code optimizations. -
An Algorithmic Theory of Caches by Sridhar Ramachandran
An algorithmic theory of caches by Sridhar Ramachandran Submitted to the Department of Electrical Engineering and Computer Science in partial fulfillment of the requirements for the degree of Master of Science at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY. December 1999 Massachusetts Institute of Technology 1999. All rights reserved. Author Department of Electrical Engineering and Computer Science Jan 31, 1999 Certified by / -f Charles E. Leiserson Professor of Computer Science and Engineering Thesis Supervisor Accepted by Arthur C. Smith Chairman, Departmental Committee on Graduate Students MSSACHUSVTS INSTITUT OF TECHNOLOGY MAR 0 4 2000 LIBRARIES 2 An algorithmic theory of caches by Sridhar Ramachandran Submitted to the Department of Electrical Engineeringand Computer Science on Jan 31, 1999 in partialfulfillment of the requirementsfor the degree of Master of Science. Abstract The ideal-cache model, an extension of the RAM model, evaluates the referential locality exhibited by algorithms. The ideal-cache model is characterized by two parameters-the cache size Z, and line length L. As suggested by its name, the ideal-cache model practices automatic, optimal, omniscient replacement algorithm. The performance of an algorithm on the ideal-cache model consists of two measures-the RAM running time, called work complexity, and the number of misses on the ideal cache, called cache complexity. This thesis proposes the ideal-cache model as a "bridging" model for caches in the sense proposed by Valiant [49]. A bridging model for caches serves two purposes. It can be viewed as a hardware "ideal" that influences cache design. On the other hand, it can be used as a powerful tool to design cache-efficient algorithms. -
Generalized Methods for Application Specific Hardware Specialization
Generalized methods for application specific hardware specialization by Snehasish Kumar M. Sc., Simon Fraser University, 2013 B. Tech., Biju Patnaik University of Technology, 2010 Dissertation Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in the School of Computing Science Faculty of Applied Sciences c Snehasish Kumar 2017 SIMON FRASER UNIVERSITY Spring 2017 All rights reserved. However, in accordance with the Copyright Act of Canada, this work may be reproduced without authorization under the conditions for “Fair Dealing.” Therefore, limited reproduction of this work for the purposes of private study, research, education, satire, parody, criticism, review and news reporting is likely to be in accordance with the law, particularly if cited appropriately. Approval Name: Snehasish Kumar Degree: Doctor of Philosophy (Computing Science) Title: Generalized methods for application specific hardware specialization Examining Committee: Chair: Binay Bhattacharyya Professor Arrvindh Shriraman Senior Supervisor Associate Professor Simon Fraser University William Sumner Supervisor Assistant Professor Simon Fraser University Vijayalakshmi Srinivasan Supervisor Research Staff Member, IBM Research Alexandra Fedorova Supervisor Associate Professor University of British Columbia Richard Vaughan Internal Examiner Associate Professor Simon Fraser University Andreas Moshovos External Examiner Professor University of Toronto Date Defended: November 21, 2016 ii Abstract Since the invention of the microprocessor in 1971, the computational capacity of the microprocessor has scaled over 1000× with Moore and Dennard scaling. Dennard scaling ended with a rapid increase in leakage power 30 years after it was proposed. This ushered in the era of multiprocessing where additional transistors afforded by Moore’s scaling were put to use. With the scaling of computational capacity no longer guaranteed every generation, application specific hardware specialization is an attractive alternative to sustain scaling trends. -
14. Caching and Cache-Efficient Algorithms
MITOCW | 14. Caching and Cache-Efficient Algorithms The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation or to view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu. JULIAN SHUN: All right. So we've talked a little bit about caching before, but today we're going to talk in much more detail about caching and how to design cache-efficient algorithms. So first, let's look at the caching hardware on modern machines today. So here's what the cache hierarchy looks like for a multicore chip. We have a whole bunch of processors. They all have their own private L1 caches for both the data, as well as the instruction. They also have a private L2 cache. And then they share a last level cache, or L3 cache, which is also called LLC. They're all connected to a memory controller that can access DRAM. And then, oftentimes, you'll have multiple chips on the same server, and these chips would be connected through a network. So here we have a bunch of multicore chips that are connected together. So we can see that there are different levels of memory here. And the sizes of each one of these levels of memory is different. So the sizes tend to go up as you move up the memory hierarchy. The L1 caches tend to be about 32 kilobytes. In fact, these are the specifications for the machines that you're using in this class. -
Generation Times of E. Coli Prolong with Increasing Tannin Concentration While the Lag Phase Extends Exponentially
plants Article Generation Times of E. coli Prolong with Increasing Tannin Concentration while the Lag Phase Extends Exponentially Sara Štumpf 1 , Gregor Hostnik 1, Mateja Primožiˇc 1, Maja Leitgeb 1,2 and Urban Bren 1,3,* 1 Faculty of Chemistry and Chemical Engineering, University of Maribor, Maribor 2000, Slovenia; [email protected] (S.Š.); [email protected] (G.H.); [email protected] (M.P.); [email protected] (M.L.) 2 Faculty of Medicine, University of Maribor, Maribor 2000, Slovenia 3 Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper 6000, Slovenia * Correspondence: [email protected]; Tel.: +386-2-2294-421 Received: 18 November 2020; Accepted: 29 November 2020; Published: 1 December 2020 Abstract: The current study examines the effect of tannins and tannin extracts on the lag phase duration, growth rate, and generation time of Escherichia coli.Effects of castalagin, vescalagin, gallic acid, Colistizer, tannic acid as well as chestnut, mimosa, and quebracho extracts were determined on E. coli’s growth phases using the broth microdilution method and obtained by turbidimetric measurements. E. coli responds to the stress caused by the investigated antimicrobial agents with reduced growth rates, longer generation times, and extended lag phases. Prolongation of the lag phase was relatively small at low tannin concentrations, while it became more pronounced at concentrations above half the MIC. Moreover, for the first time, it was observed that lag time extensions follow a strict exponential relationship with increasing tannin concentrations. This feature is very likely a direct consequence of the tannin complexation of certain essential ions from the growth medium, making them unavailable to E. -
Open Jishen-Zhao-Dissertation.Pdf
The Pennsylvania State University The Graduate School RETHINKING THE MEMORY HIERARCHY DESIGN WITH NONVOLATILE MEMORY TECHNOLOGIES A Dissertation in Computer Science and Engineering by Jishen Zhao c 2014 Jishen Zhao Submitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy May 2014 The dissertation of Jishen Zhao was reviewed and approved∗ by the following: Yuan Xie Professor of Computer Science and Engineering Dissertation Advisor, Chair of Committee Mary Jane Irwin Professor of Computer Science and Engineering Vijaykrishnan Narayanan Professor of Computer Science and Engineering Zhiwen Liu Associate Professor of Electrical Engineering Onur Mutlu Associate Professor of Electrical and Computer Engineering Carnegie Mellon University Special Member Lee Coraor Associate Professor of Computer Science and Engineering Director of Academic Affairs ∗Signatures are on file in the Graduate School. Abstract The memory hierarchy, including processor caches and the main memory, is an important component of various computer systems. The memory hierarchy is becoming a fundamental performance and energy bottleneck, due to the widening gap between the increasing bandwidth and energy demands of modern applications and the limited performance and energy efficiency provided by traditional memory technologies. As a result, computer architects are facing significant challenges in developing high-performance, energy-efficient, and reliable memory hierarchies. New byte-addressable nonvolatile memories (NVRAMs) are emerging with unique properties that are likely to open doors to novel memory hierarchy designs to tackle the challenges. However, substantial advancements in redesigning the existing memory hierarchy organizations are needed to realize their full potential. This dissertation focuses on re-architecting the current memory hierarchy design with NVRAMs, producing high-performance, energy-efficient memory designs for both CPU and graphics processor (GPU) systems. -
Beating In-Order Stalls with “Flea-Flicker” Two-Pass Pipelining
Beating in-order stalls with “flea-flicker”∗two-pass pipelining Ronald D. Barnes Erik M. Nystrom John W. Sias Sanjay J. Patel Nacho Navarro Wen-mei W. Hwu Center for Reliable and High-Performance Computing Department of Electrical and Computer Engineering University of Illinois at Urbana-Champaign {rdbarnes, nystrom, sias, sjp, nacho, hwu}@crhc.uiuc.edu Abstract control speculation features allow the compiler to miti- gate control dependences, further increasing static schedul- Accommodating the uncertain latency of load instructions ing freedom. Predication enables the compiler to optimize is one of the most vexing problems in in-order microarchi- program decision and to overlap independent control con- tecture design and compiler development. Compilers can structs while minimizing code growth. In the absence of generate schedules with a high degree of instruction-level unanticipated run-time delays such as cache miss-induced parallelism but cannot effectively accommodate unantici- stalls, the compiler can effectively utilize execution re- pated latencies; incorporating traditional out-of-order exe- sources, overlap execution latencies, and work around exe- cution into the microarchitecture hides some of this latency cution constraints [1]. For example, we have measured that, but redundantly performs work done by the compiler and when run-time stall cycles are discounted, the Intel refer- adds additional pipeline stages. Although effective tech- ence compiler can achieve an average throughput of 2.5 in- niques, such as prefetching and threading, have been pro- structions per cycle (IPC) across SPECint2000 benchmarks posed to deal with anticipable, long-latency misses, the for a 1.0GHz Itanium 2 processor. shorter, more diffuse stalls due to difficult-to-anticipate, Run-time stall cycles of various types prolong the execu- first- or second-level misses are less easily hidden on in- tion of the compiler-generated schedule, in the noted exam- order architectures. -
The Following Paper Posted Here Is Not the Official IEEE Published Version
The following paper posted here is not the official IEEE published version. The final published version of this paper can be found in the Proceedings of the IEEE International Conference on Communication, Volume 3:pp.1490-1494 Copyright © 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Investigation and modeling of traffic issues in immersive audio environments Jeremy McMahon, Michael Rumsewicz Paul Boustead, Farzad Safaei TRC Mathematical Modelling Telecommunications and Information Technology Research University of Adelaide Institute South Australia 5005, AUSTRALIA University of Wollongong jmcmahon, [email protected] New South Wales 2522, AUSTRALIA [email protected], [email protected] Abstract—A growing area of technical importance is that of packets being queued at routers. distributed virtual environments for work and play. For the This is an area that has not undergone significant research audio component of such environments to be useful, great in the literature. Most of the available literature regarding emphasis must be placed on the delivery of high quality audio synchronization in multimedia relates to synchronizing audio scenes in which participants may change their relative positions. with video playout (e.g. [5], [6], [7]) and / or requires a global In this paper we describe and analyze an algorithm focused on maintaining relative synchronization between multiple users of synchronization clock such as GPS (e.g. -
Performance Analysis of Complex Shared Memory Systems Abridged Version of Dissertation
Performance Analysis of Complex Shared Memory Systems Abridged Version of Dissertation Daniel Molka September 12, 2016 The goal of this thesis is to improve the understanding of the achieved application performance on existing hardware. It can be observed that the scaling of parallel applications on multi-core processors differs significantly from the scaling on multiple processors. Therefore, the properties of shared resources in contemporary multi-core processors as well as remote accesses in multi-processor systems are investigated and their respective impact on the application performance is analyzed. As a first step, a comprehensive suite of highly optimized micro-benchmarks is developed. These benchmarks are able to determine the performance of memory accesses depending on the location and coherence state of the data. They are used to perform an in-depth analysis of the characteristics of memory accesses in contemporary multi-processor systems, which identifies potential bottlenecks. In order to localize performance problems, it also has to be determined to which extend the application performance is limited by certain resources. Therefore, a methodology to derive metrics for the utilization of individual components in the memory hierarchy as well as waiting times caused by memory accesses is developed in the second step. The approach is based on hardware performance counters. The developed micro-benchmarks are used to selectively stress individual components, which can be used to identify the events that provide a reasonable assessment for the utilization of the respective component and the amount of time that is spent waiting for memory accesses to complete. Finally, the knowledge gained from this process is used to implement a visualization of memory related performance issues in existing performance analysis tools.