Theoretical Peak FLOPS Per Instruction Set on Less Conventional Hardware
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1 Introduction
Cambridge University Press 978-0-521-76992-1 - Microprocessor Architecture: From Simple Pipelines to Chip Multiprocessors Jean-Loup Baer Excerpt More information 1 Introduction Modern computer systems built from the most sophisticated microprocessors and extensive memory hierarchies achieve their high performance through a combina- tion of dramatic improvements in technology and advances in computer architec- ture. Advances in technology have resulted in exponential growth rates in raw speed (i.e., clock frequency) and in the amount of logic (number of transistors) that can be put on a chip. Computer architects have exploited these factors in order to further enhance performance using architectural techniques, which are the main subject of this book. Microprocessors are over 30 years old: the Intel 4004 was introduced in 1971. The functionality of the 4004 compared to that of the mainframes of that period (for example, the IBM System/370) was minuscule. Today, just over thirty years later, workstations powered by engines such as (in alphabetical order and without specific processor numbers) the AMD Athlon, IBM PowerPC, Intel Pentium, and Sun UltraSPARC can rival or surpass in both performance and functionality the few remaining mainframes and at a much lower cost. Servers and supercomputers are more often than not made up of collections of microprocessor systems. It would be wrong to assume, though, that the three tenets that computer archi- tects have followed, namely pipelining, parallelism, and the principle of locality, were discovered with the birth of microprocessors. They were all at the basis of the design of previous (super)computers. The advances in technology made their implementa- tions more practical and spurred further refinements. -
Instruction Latencies and Throughput for AMD and Intel X86 Processors
Instruction latencies and throughput for AMD and Intel x86 processors Torbj¨ornGranlund 2019-08-02 09:05Z Copyright Torbj¨ornGranlund 2005{2019. Verbatim copying and distribution of this entire article is permitted in any medium, provided this notice is preserved. This report is work-in-progress. A newer version might be available here: https://gmplib.org/~tege/x86-timing.pdf In this short report we present latency and throughput data for various x86 processors. We only present data on integer operations. The data on integer MMX and SSE2 instructions is currently limited. We might present more complete data in the future, if there is enough interest. There are several reasons for presenting this report: 1. Intel's published data were in the past incomplete and full of errors. 2. Intel did not publish any data for 64-bit operations. 3. To allow straightforward comparison of an important aspect of AMD and Intel pipelines. The here presented data is the result of extensive timing tests. While we have made an effort to make sure the data is accurate, the reader is cautioned that some errors might have crept in. 1 Nomenclature and notation LNN means latency for NN-bit operation.TNN means throughput for NN-bit operation. The term throughput is used to mean number of instructions per cycle of this type that can be sustained. That implies that more throughput is better, which is consistent with how most people understand the term. Intel use that same term in the exact opposite meaning in their manuals. The notation "P6 0-E", "P4 F0", etc, are used to save table header space. -
UNIT 8B a Full Adder
UNIT 8B Computer Organization: Levels of Abstraction 15110 Principles of Computing, 1 Carnegie Mellon University - CORTINA A Full Adder C ABCin Cout S in 0 0 0 A 0 0 1 0 1 0 B 0 1 1 1 0 0 1 0 1 C S out 1 1 0 1 1 1 15110 Principles of Computing, 2 Carnegie Mellon University - CORTINA 1 A Full Adder C ABCin Cout S in 0 0 0 0 0 A 0 0 1 0 1 0 1 0 0 1 B 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 C S out 1 1 0 1 0 1 1 1 1 1 ⊕ ⊕ S = A B Cin ⊕ ∧ ∨ ∧ Cout = ((A B) C) (A B) 15110 Principles of Computing, 3 Carnegie Mellon University - CORTINA Full Adder (FA) AB 1-bit Cout Full Cin Adder S 15110 Principles of Computing, 4 Carnegie Mellon University - CORTINA 2 Another Full Adder (FA) http://students.cs.tamu.edu/wanglei/csce350/handout/lab6.html AB 1-bit Cout Full Cin Adder S 15110 Principles of Computing, 5 Carnegie Mellon University - CORTINA 8-bit Full Adder A7 B7 A2 B2 A1 B1 A0 B0 1-bit 1-bit 1-bit 1-bit ... Cout Full Full Full Full Cin Adder Adder Adder Adder S7 S2 S1 S0 AB 8 ⁄ ⁄ 8 C 8-bit C out FA in ⁄ 8 S 15110 Principles of Computing, 6 Carnegie Mellon University - CORTINA 3 Multiplexer (MUX) • A multiplexer chooses between a set of inputs. D1 D 2 MUX F D3 D ABF 4 0 0 D1 AB 0 1 D2 1 0 D3 1 1 D4 http://www.cise.ufl.edu/~mssz/CompOrg/CDAintro.html 15110 Principles of Computing, 7 Carnegie Mellon University - CORTINA Arithmetic Logic Unit (ALU) OP 1OP 0 Carry In & OP OP 0 OP 1 F 0 0 A ∧ B 0 1 A ∨ B 1 0 A 1 1 A + B http://cs-alb-pc3.massey.ac.nz/notes/59304/l4.html 15110 Principles of Computing, 8 Carnegie Mellon University - CORTINA 4 Flip Flop • A flip flop is a sequential circuit that is able to maintain (save) a state. -
With Extreme Scale Computing the Rules Have Changed
With Extreme Scale Computing the Rules Have Changed Jack Dongarra University of Tennessee Oak Ridge National Laboratory University of Manchester 11/17/15 1 • Overview of High Performance Computing • With Extreme Computing the “rules” for computing have changed 2 3 • Create systems that can apply exaflops of computing power to exabytes of data. • Keep the United States at the forefront of HPC capabilities. • Improve HPC application developer productivity • Make HPC readily available • Establish hardware technology for future HPC systems. 4 11E+09 Eflop/s 362 PFlop/s 100000000100 Pflop/s 10000000 10 Pflop/s 33.9 PFlop/s 1000000 1 Pflop/s SUM 100000100 Tflop/s 166 TFlop/s 1000010 Tflop /s N=1 1 Tflop1000/s 1.17 TFlop/s 100 Gflop/s100 My Laptop 70 Gflop/s N=500 10 59.7 GFlop/s 10 Gflop/s My iPhone 4 Gflop/s 1 1 Gflop/s 0.1 100 Mflop/s 400 MFlop/s 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2015 1 Eflop/s 1E+09 420 PFlop/s 100000000100 Pflop/s 10000000 10 Pflop/s 33.9 PFlop/s 1000000 1 Pflop/s SUM 100000100 Tflop/s 206 TFlop/s 1000010 Tflop /s N=1 1 Tflop1000/s 1.17 TFlop/s 100 Gflop/s100 My Laptop 70 Gflop/s N=500 10 59.7 GFlop/s 10 Gflop/s My iPhone 4 Gflop/s 1 1 Gflop/s 0.1 100 Mflop/s 400 MFlop/s 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 2015 1E+10 1 Eflop/s 1E+09 100 Pflop/s 100000000 10 Pflop/s 10000000 1 Pflop/s 1000000 SUM 100 Tflop/s 100000 10 Tflop/s N=1 10000 1 Tflop/s 1000 100 Gflop/s N=500 100 10 Gflop/s 10 1 Gflop/s 1 100 Mflop/s 0.1 1996 2002 2020 2008 2014 1E+10 1 Eflop/s 1E+09 100 Pflop/s 100000000 10 Pflop/s 10000000 1 Pflop/s 1000000 SUM 100 Tflop/s 100000 10 Tflop/s N=1 10000 1 Tflop/s 1000 100 Gflop/s N=500 100 10 Gflop/s 10 1 Gflop/s 1 100 Mflop/s 0.1 1996 2002 2020 2008 2014 • Pflops (> 1015 Flop/s) computing fully established with 81 systems. -
Exam 1 Solutions
Midterm Exam ECE 741 – Advanced Computer Architecture, Spring 2009 Instructor: Onur Mutlu TAs: Michael Papamichael, Theodoros Strigkos, Evangelos Vlachos February 25, 2009 EXAM 1 SOLUTIONS Problem Points Score 1 40 2 20 3 15 4 20 5 25 6 20 7 (bonus) 15 Total 140+15 • This is a closed book midterm. You are allowed to have only two letter-sized cheat sheets. • No electronic devices may be used. • This exam lasts 1 hour 50 minutes. • If you make a mess, clearly indicate your final answer. • For questions requiring brief answers, please provide brief answers. Do not write an essay. You can be penalized for verbosity. • Please show your work when needed. We cannot give you partial credit if you do not clearly show how you arrive at a numerical answer. • Please write your name on every sheet. EXAM 1 SOLUTIONS Problem 1 (Short answers – 40 points) i. (3 points) A cache has the block size equal to the word length. What property of program behavior, which usually contributes to higher performance if we use a cache, does not help the performance if we use THIS cache? Spatial locality ii. (3 points) Pipelining increases the performance of a processor if the pipeline can be kept full with useful instructions. Two reasons that often prevent the pipeline from staying full with useful instructions are (in two words each): Data dependencies Control dependencies iii. (3 points) The reference bit (sometimes called “access” bit) in a PTE (Page Table Entry) is used for what purpose? Page replacement The similar function is performed by what bit or bits in a cache’s tag store entry? Replacement policy bits (e.g. -
Trends in Processor Architecture
A. González Trends in Processor Architecture Trends in Processor Architecture Antonio González Universitat Politècnica de Catalunya, Barcelona, Spain 1. Past Trends Processors have undergone a tremendous evolution throughout their history. A key milestone in this evolution was the introduction of the microprocessor, term that refers to a processor that is implemented in a single chip. The first microprocessor was introduced by Intel under the name of Intel 4004 in 1971. It contained about 2,300 transistors, was clocked at 740 KHz and delivered 92,000 instructions per second while dissipating around 0.5 watts. Since then, practically every year we have witnessed the launch of a new microprocessor, delivering significant performance improvements over previous ones. Some studies have estimated this growth to be exponential, in the order of about 50% per year, which results in a cumulative growth of over three orders of magnitude in a time span of two decades [12]. These improvements have been fueled by advances in the manufacturing process and innovations in processor architecture. According to several studies [4][6], both aspects contributed in a similar amount to the global gains. The manufacturing process technology has tried to follow the scaling recipe laid down by Robert N. Dennard in the early 1970s [7]. The basics of this technology scaling consists of reducing transistor dimensions by a factor of 30% every generation (typically 2 years) while keeping electric fields constant. The 30% scaling in the dimensions results in doubling the transistor density (doubling transistor density every two years was predicted in 1975 by Gordon Moore and is normally referred to as Moore’s Law [21][22]). -
Theoretical Peak FLOPS Per Instruction Set on Modern Intel Cpus
Theoretical Peak FLOPS per instruction set on modern Intel CPUs Romain Dolbeau Bull – Center for Excellence in Parallel Programming Email: [email protected] Abstract—It used to be that evaluating the theoretical and potentially multiple threads per core. Vector of peak performance of a CPU in FLOPS (floating point varying sizes. And more sophisticated instructions. operations per seconds) was merely a matter of multiplying Equation2 describes a more realistic view, that we the frequency by the number of floating-point instructions will explain in details in the rest of the paper, first per cycles. Today however, CPUs have features such as vectorization, fused multiply-add, hyper-threading or in general in sectionII and then for the specific “turbo” mode. In this paper, we look into this theoretical cases of Intel CPUs: first a simple one from the peak for recent full-featured Intel CPUs., taking into Nehalem/Westmere era in section III and then the account not only the simple absolute peak, but also the full complexity of the Haswell family in sectionIV. relevant instruction sets and encoding and the frequency A complement to this paper titled “Theoretical Peak scaling behavior of current Intel CPUs. FLOPS per instruction set on less conventional Revision 1.41, 2016/10/04 08:49:16 Index Terms—FLOPS hardware” [1] covers other computing devices. flop 9 I. INTRODUCTION > operation> High performance computing thrives on fast com- > > putations and high memory bandwidth. But before > operations => any code or even benchmark is run, the very first × micro − architecture instruction number to evaluate a system is the theoretical peak > > - how many floating-point operations the system > can theoretically execute in a given time. -
Misleading Performance Reporting in the Supercomputing Field David H
Misleading Performance Reporting in the Supercomputing Field David H. Bailey RNR Technical Report RNR-92-005 December 1, 1992 Ref: Scientific Programming, vol. 1., no. 2 (Winter 1992), pg. 141–151 Abstract In a previous humorous note, I outlined twelve ways in which performance figures for scientific supercomputers can be distorted. In this paper, the problem of potentially mis- leading performance reporting is discussed in detail. Included are some examples that have appeared in recent published scientific papers. This paper also includes some pro- posed guidelines for reporting performance, the adoption of which would raise the level of professionalism and reduce the level of confusion in the field of supercomputing. The author is with the Numerical Aerodynamic Simulation (NAS) Systems Division at NASA Ames Research Center, Moffett Field, CA 94035. 1 1. Introduction Many readers may have read my previous article “Twelve Ways to Fool the Masses When Giving Performance Reports on Parallel Computers” [5]. The attention that this article received frankly has been surprising [11]. Evidently it has struck a responsive chord among many professionals in the field who share my concerns. The following is a very brief summary of the “Twelve Ways”: 1. Quote only 32-bit performance results, not 64-bit results, and compare your 32-bit results with others’ 64-bit results. 2. Present inner kernel performance figures as the performance of the entire application. 3. Quietly employ assembly code and other low-level language constructs, and compare your assembly-coded results with others’ Fortran or C implementations. 4. Scale up the problem size with the number of processors, but don’t clearly disclose this fact. -
Intel Xeon & Dgpu Update
Intel® AI HPC Workshop LRZ April 09, 2021 Morning – Machine Learning 9:00 – 9:30 Introduction and Hardware Acceleration for AI OneAPI 9:30 – 10:00 Toolkits Overview, Intel® AI Analytics toolkit and oneContainer 10:00 -10:30 Break 10:30 - 12:30 Deep dive in Machine Learning tools Quizzes! LRZ Morning Session Survey 2 Afternoon – Deep Learning 13:30 – 14:45 Deep dive in Deep Learning tools 14:45 – 14:50 5 min Break 14:50 – 15:20 OpenVINO 15:20 - 15:45 25 min Break 15:45 – 17:00 Distributed training and Federated Learning Quizzes! LRZ Afternoon Session Survey 3 INTRODUCING 3rd Gen Intel® Xeon® Scalable processors Performance made flexible Up to 40 cores per processor 20% IPC improvement 28 core, ISO Freq, ISO compiler 1.46x average performance increase Geomean of Integer, Floating Point, Stream Triad, LINPACK 8380 vs. 8280 1.74x AI inference increase 8380 vs. 8280 BERT Intel 10nm Process 2.65x average performance increase vs. 5-year-old system 8380 vs. E5-2699v4 Performance varies by use, configuration and other factors. Configurations see appendix [1,3,5,55] 5 AI Performance Gains 3rd Gen Intel® Xeon® Scalable Processors with Intel Deep Learning Boost Machine Learning Deep Learning SciKit Learn & XGBoost 8380 vs 8280 Real Time Inference Batch 8380 vs 8280 Inference 8380 vs 8280 XGBoost XGBoost up to up to Fit Predict Image up up Recognition to to 1.59x 1.66x 1.44x 1.30x Mobilenet-v1 Kmeans Kmeans up to Fit Inference Image up to up up Classification to to 1.52x 1.56x 1.36x 1.44x ResNet-50-v1.5 Linear Regression Linear Regression Fit Inference Language up to up to up up Processing to 1.44x to 1.60x 1.45x BERT-large 1.74x Performance varies by use, configuration and other factors. -
Chapter 4 Data-Level Parallelism in Vector, SIMD, and GPU Architectures
Computer Architecture A Quantitative Approach, Fifth Edition Chapter 4 Data-Level Parallelism in Vector, SIMD, and GPU Architectures Copyright © 2012, Elsevier Inc. All rights reserved. 1 Contents 1. SIMD architecture 2. Vector architectures optimizations: Multiple Lanes, Vector Length Registers, Vector Mask Registers, Memory Banks, Stride, Scatter-Gather, 3. Programming Vector Architectures 4. SIMD extensions for media apps 5. GPUs – Graphical Processing Units 6. Fermi architecture innovations 7. Examples of loop-level parallelism 8. Fallacies Copyright © 2012, Elsevier Inc. All rights reserved. 2 Classes of Computers Classes Flynn’s Taxonomy SISD - Single instruction stream, single data stream SIMD - Single instruction stream, multiple data streams New: SIMT – Single Instruction Multiple Threads (for GPUs) MISD - Multiple instruction streams, single data stream No commercial implementation MIMD - Multiple instruction streams, multiple data streams Tightly-coupled MIMD Loosely-coupled MIMD Copyright © 2012, Elsevier Inc. All rights reserved. 3 Introduction Advantages of SIMD architectures 1. Can exploit significant data-level parallelism for: 1. matrix-oriented scientific computing 2. media-oriented image and sound processors 2. More energy efficient than MIMD 1. Only needs to fetch one instruction per multiple data operations, rather than one instr. per data op. 2. Makes SIMD attractive for personal mobile devices 3. Allows programmers to continue thinking sequentially SIMD/MIMD comparison. Potential speedup for SIMD twice that from MIMID! x86 processors expect two additional cores per chip per year SIMD width to double every four years Copyright © 2012, Elsevier Inc. All rights reserved. 4 Introduction SIMD parallelism SIMD architectures A. Vector architectures B. SIMD extensions for mobile systems and multimedia applications C. -
Summarizing CPU and GPU Design Trends with Product Data
Summarizing CPU and GPU Design Trends with Product Data Yifan Sun, Nicolas Bohm Agostini, Shi Dong, and David Kaeli Northeastern University Email: fyifansun, agostini, shidong, [email protected] Abstract—Moore’s Law and Dennard Scaling have guided the products. Equipped with this data, we answer the following semiconductor industry for the past few decades. Recently, both questions: laws have faced validity challenges as transistor sizes approach • Are Moore’s Law and Dennard Scaling still valid? If so, the practical limits of physics. We are interested in testing the validity of these laws and reflect on the reasons responsible. In what are the factors that keep the laws valid? this work, we collect data of more than 4000 publicly-available • Do GPUs still have computing power advantages over CPU and GPU products. We find that transistor scaling remains CPUs? Is the computing capability gap between CPUs critical in keeping the laws valid. However, architectural solutions and GPUs getting larger? have become increasingly important and will play a larger role • What factors drive performance improvements in GPUs? in the future. We observe that GPUs consistently deliver higher performance than CPUs. GPU performance continues to rise II. METHODOLOGY because of increases in GPU frequency, improvements in the thermal design power (TDP), and growth in die size. But we We have collected data for all CPU and GPU products (to also see the ratio of GPU to CPU performance moving closer to our best knowledge) that have been released by Intel, AMD parity, thanks to new SIMD extensions on CPUs and increased (including the former ATI GPUs)1, and NVIDIA since January CPU core counts. -
Parallel Programming – Multicore Systems
FYS3240 PC-based instrumentation and microcontrollers Parallel Programming – Multicore systems Spring 2011 – Lecture #9 Bekkeng, 4.4.2011 Introduction • Until recently, innovations in processor technology have resulted in computers with CPUs that operate at higher clock rates. • However, as clock rates approach their theoretical physical limits, companies are developing new processors with multiple processing cores. • With these multicore processors the best performance and highest throughput is achieved by using parallel programming techniques This requires knowledge and suitable programming tools to take advantage of the multicore processors Multiprocessors & Multicore Processors Multicore Processors contain any Multiprocessor systems contain multiple number of multiple CPUs on a CPUs that are not on the same chip single chip The multiprocessor system has a divided The multicore processors share the cache with long-interconnects cache with short interconnects Hyper-threading • Hyper-threading is a technology that was introduced by Intel, with the primary purpose of improving support for multi- threaded code. • Under certain workloads hyper-threading technology provides a more efficient use of CPU resources by executing threads in parallel on a single processor. • Hyper-threading works by duplicating certain sections of the processor. • A hyper-threading equipped processor (core) pretends to be two "logical" processors to the host operating system, allowing the operating system to schedule two threads or processes simultaneously. • E.g.