Language and Compiler Support for Dynamic Code Generation by Massimiliano A
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Metaheuristics1
METAHEURISTICS1 Kenneth Sörensen University of Antwerp, Belgium Fred Glover University of Colorado and OptTek Systems, Inc., USA 1 Definition A metaheuristic is a high-level problem-independent algorithmic framework that provides a set of guidelines or strategies to develop heuristic optimization algorithms (Sörensen and Glover, To appear). Notable examples of metaheuristics include genetic/evolutionary algorithms, tabu search, simulated annealing, and ant colony optimization, although many more exist. A problem-specific implementation of a heuristic optimization algorithm according to the guidelines expressed in a metaheuristic framework is also referred to as a metaheuristic. The term was coined by Glover (1986) and combines the Greek prefix meta- (metá, beyond in the sense of high-level) with heuristic (from the Greek heuriskein or euriskein, to search). Metaheuristic algorithms, i.e., optimization methods designed according to the strategies laid out in a metaheuristic framework, are — as the name suggests — always heuristic in nature. This fact distinguishes them from exact methods, that do come with a proof that the optimal solution will be found in a finite (although often prohibitively large) amount of time. Metaheuristics are therefore developed specifically to find a solution that is “good enough” in a computing time that is “small enough”. As a result, they are not subject to combinatorial explosion – the phenomenon where the computing time required to find the optimal solution of NP- hard problems increases as an exponential function of the problem size. Metaheuristics have been demonstrated by the scientific community to be a viable, and often superior, alternative to more traditional (exact) methods of mixed- integer optimization such as branch and bound and dynamic programming. -
Lecture 4 Dynamic Programming
1/17 Lecture 4 Dynamic Programming Last update: Jan 19, 2021 References: Algorithms, Jeff Erickson, Chapter 3. Algorithms, Gopal Pandurangan, Chapter 6. Dynamic Programming 2/17 Backtracking is incredible powerful in solving all kinds of hard prob- lems, but it can often be very slow; usually exponential. Example: Fibonacci numbers is defined as recurrence: 0 if n = 0 Fn =8 1 if n = 1 > Fn 1 + Fn 2 otherwise < ¡ ¡ > A direct translation in:to recursive program to compute Fibonacci number is RecFib(n): if n=0 return 0 if n=1 return 1 return RecFib(n-1) + RecFib(n-2) Fibonacci Number 3/17 The recursive program has horrible time complexity. How bad? Let's try to compute. Denote T(n) as the time complexity of computing RecFib(n). Based on the recursion, we have the recurrence: T(n) = T(n 1) + T(n 2) + 1; T(0) = T(1) = 1 ¡ ¡ Solving this recurrence, we get p5 + 1 T(n) = O(n); = 1.618 2 So the RecFib(n) program runs at exponential time complexity. RecFib Recursion Tree 4/17 Intuitively, why RecFib() runs exponentially slow. Problem: redun- dant computation! How about memorize the intermediate computa- tion result to avoid recomputation? Fib: Memoization 5/17 To optimize the performance of RecFib, we can memorize the inter- mediate Fn into some kind of cache, and look it up when we need it again. MemFib(n): if n = 0 n = 1 retujrjn n if F[n] is undefined F[n] MemFib(n-1)+MemFib(n-2) retur n F[n] How much does it improve upon RecFib()? Assuming accessing F[n] takes constant time, then at most n additions will be performed (we never recompute). -
The LLVM Instruction Set and Compilation Strategy
The LLVM Instruction Set and Compilation Strategy Chris Lattner Vikram Adve University of Illinois at Urbana-Champaign lattner,vadve ¡ @cs.uiuc.edu Abstract This document introduces the LLVM compiler infrastructure and instruction set, a simple approach that enables sophisticated code transformations at link time, runtime, and in the field. It is a pragmatic approach to compilation, interfering with programmers and tools as little as possible, while still retaining extensive high-level information from source-level compilers for later stages of an application’s lifetime. We describe the LLVM instruction set, the design of the LLVM system, and some of its key components. 1 Introduction Modern programming languages and software practices aim to support more reliable, flexible, and powerful software applications, increase programmer productivity, and provide higher level semantic information to the compiler. Un- fortunately, traditional approaches to compilation either fail to extract sufficient performance from the program (by not using interprocedural analysis or profile information) or interfere with the build process substantially (by requiring build scripts to be modified for either profiling or interprocedural optimization). Furthermore, they do not support optimization either at runtime or after an application has been installed at an end-user’s site, when the most relevant information about actual usage patterns would be available. The LLVM Compilation Strategy is designed to enable effective multi-stage optimization (at compile-time, link-time, runtime, and offline) and more effective profile-driven optimization, and to do so without changes to the traditional build process or programmer intervention. LLVM (Low Level Virtual Machine) is a compilation strategy that uses a low-level virtual instruction set with rich type information as a common code representation for all phases of compilation. -
Dynamic Programming Via Static Incrementalization 1 Introduction
Dynamic Programming via Static Incrementalization Yanhong A. Liu and Scott D. Stoller Abstract Dynamic programming is an imp ortant algorithm design technique. It is used for solving problems whose solutions involve recursively solving subproblems that share subsubproblems. While a straightforward recursive program solves common subsubproblems rep eatedly and of- ten takes exp onential time, a dynamic programming algorithm solves every subsubproblem just once, saves the result, reuses it when the subsubproblem is encountered again, and takes p oly- nomial time. This pap er describ es a systematic metho d for transforming programs written as straightforward recursions into programs that use dynamic programming. The metho d extends the original program to cache all p ossibly computed values, incrementalizes the extended pro- gram with resp ect to an input increment to use and maintain all cached results, prunes out cached results that are not used in the incremental computation, and uses the resulting in- cremental program to form an optimized new program. Incrementalization statically exploits semantics of b oth control structures and data structures and maintains as invariants equalities characterizing cached results. The principle underlying incrementalization is general for achiev- ing drastic program sp eedups. Compared with previous metho ds that p erform memoization or tabulation, the metho d based on incrementalization is more powerful and systematic. It has b een implemented and applied to numerous problems and succeeded on all of them. 1 Intro duction Dynamic programming is an imp ortant technique for designing ecient algorithms [2, 44 , 13 ]. It is used for problems whose solutions involve recursively solving subproblems that overlap. -
Automatic Code Generation Using Dynamic Programming Techniques
! Automatic Code Generation using Dynamic Programming Techniques MASTERARBEIT zur Erlangung des akademischen Grades Diplom-Ingenieur im Masterstudium INFORMATIK Eingereicht von: Igor Böhm, 0155477 Angefertigt am: Institut für System Software Betreuung: o.Univ.-Prof.Dipl.-Ing. Dr. Dr.h.c. Hanspeter Mössenböck Linz, Oktober 2007 Abstract Building compiler back ends from declarative specifications that map tree structured intermediate representations onto target machine code is the topic of this thesis. Although many tools and approaches have been devised to tackle the problem of automated code generation, there is still room for improvement. In this context we present Hburg, an implementation of a code generator generator that emits compiler back ends from concise tree pattern specifications written in our code generator description language. The language features attribute grammar style specifications and allows for great flexibility with respect to the placement of semantic actions. Our main contribution is to show that these language features can be integrated into automatically generated code generators that perform optimal instruction selection based on tree pattern matching combined with dynamic program- ming. In order to substantiate claims about the usefulness of our language we provide two complete examples that demonstrate how to specify code generators for Risc and Cisc architectures. Kurzfassung Diese Diplomarbeit beschreibt Hburg, ein Werkzeug das aus einer Spezi- fikation des abstrakten Syntaxbaums eines Programms und der Spezifika- tion der gewuns¨ chten Zielmaschine automatisch einen Codegenerator fur¨ diese Maschine erzeugt. Abbildungen zwischen abstrakten Syntaxb¨aumen und einer Zielmaschine werden durch Baummuster definiert. Fur¨ diesen Zweck haben wir eine deklarative Beschreibungssprache entwickelt, die es erm¨oglicht den Baummustern Attribute beizugeben, wodurch diese gleich- sam parametrisiert werden k¨onnen. -
9. Optimization
9. Optimization Marcus Denker Optimization Roadmap > Introduction > Optimizations in the Back-end > The Optimizer > SSA Optimizations > Advanced Optimizations © Marcus Denker 2 Optimization Roadmap > Introduction > Optimizations in the Back-end > The Optimizer > SSA Optimizations > Advanced Optimizations © Marcus Denker 3 Optimization Optimization: The Idea > Transform the program to improve efficiency > Performance: faster execution > Size: smaller executable, smaller memory footprint Tradeoffs: 1) Performance vs. Size 2) Compilation speed and memory © Marcus Denker 4 Optimization No Magic Bullet! > There is no perfect optimizer > Example: optimize for simplicity Opt(P): Smallest Program Q: Program with no output, does not stop Opt(Q)? © Marcus Denker 5 Optimization No Magic Bullet! > There is no perfect optimizer > Example: optimize for simplicity Opt(P): Smallest Program Q: Program with no output, does not stop Opt(Q)? L1 goto L1 © Marcus Denker 6 Optimization No Magic Bullet! > There is no perfect optimizer > Example: optimize for simplicity Opt(P): Smallest ProgramQ: Program with no output, does not stop Opt(Q)? L1 goto L1 Halting problem! © Marcus Denker 7 Optimization Another way to look at it... > Rice (1953): For every compiler there is a modified compiler that generates shorter code. > Proof: Assume there is a compiler U that generates the shortest optimized program Opt(P) for all P. — Assume P to be a program that does not stop and has no output — Opt(P) will be L1 goto L1 — Halting problem. Thus: U does not exist. > There will -
1 Lecture 25
I. Goals of This Lecture Lecture 25 • Beyond static compilation • Example of a complete system Dynamic Compilation • Use of data flow techniques in a new context • Experimental approach I. Motivation & Background II. Overview III. Compilation Policy IV. Partial Method Compilation V. Partial Dead Code Elimination VI. Escape Analysis VII. Results “Partial Method Compilation Using Dynamic Profile Information”, John Whaley, OOPSLA 01 (Slide content courtesy of John Whaley & Monica Lam.) Carnegie Mellon Carnegie Mellon Todd C. Mowry 15-745: Dynamic Compilation 1 15-745: Dynamic Compilation 2 Todd C. Mowry Static/Dynamic High-Level/Binary • Compiler: high-level à binary, static • Binary translator: Binary-binary; mostly dynamic • Interpreter: high-level, emulate, dynamic – Run “as-is” – Software migration • Dynamic compilation: high-level à binary, dynamic (x86 à alpha, sun, transmeta; 68000 à powerPC à x86) – machine-independent, dynamic loading – Virtualization (make hardware virtualizable) – cross-module optimization – Dynamic optimization (Dynamo Rio) – specialize program using runtime information – Security (execute out of code in a cache that is “protected”) • without profiling Carnegie Mellon Carnegie Mellon 15-745: Dynamic Compilation 3 Todd C. Mowry 15-745: Dynamic Compilation 4 Todd C. Mowry 1 Closed-world vs. Open-world II. Overview of Dynamic Compilation • Closed-world assumption (most static compilers) • Interpretation/Compilation policy decisions – all code is available a priori for analysis and compilation. – Choosing what and how to compile • Open-world assumption (most dynamic compilers) • Collecting runtime information – code is not available – Instrumentation – arbitrary code can be loaded at run time. – Sampling • Open-world assumption precludes many optimization opportunities. • Exploiting runtime information – Solution: Optimistically assume the best case, but provide a way out – frequently-executed code paths if necessary. -
Dynamic Extension of Typed Functional Languages
Dynamic Extension of Typed Functional Languages Don Stewart PhD Dissertation School of Computer Science and Engineering University of New South Wales 2010 Supervisor: Assoc. Prof. Manuel M. T. Chakravarty Co-supervisor: Dr. Gabriele Keller Abstract We present a solution to the problem of dynamic extension in statically typed functional languages with type erasure. The presented solution re- tains the benefits of static checking, including type safety, aggressive op- timizations, and native code compilation of components, while allowing extensibility of programs at runtime. Our approach is based on a framework for dynamic extension in a stat- ically typed setting, combining dynamic linking, runtime type checking, first class modules and code hot swapping. We show that this framework is sufficient to allow a broad class of dynamic extension capabilities in any statically typed functional language with type erasure semantics. Uniquely, we employ the full compile-time type system to perform run- time type checking of dynamic components, and emphasize the use of na- tive code extension to ensure that the performance benefits of static typing are retained in a dynamic environment. We also develop the concept of fully dynamic software architectures, where the static core is minimal and all code is hot swappable. Benefits of the approach include hot swappable code and sophisticated application extension via embedded domain specific languages. We instantiate the concepts of the framework via a full implementation in the Haskell programming language: providing rich mechanisms for dy- namic linking, loading, hot swapping, and runtime type checking in Haskell for the first time. We demonstrate the feasibility of this architecture through a number of novel applications: an extensible text editor; a plugin-based network chat bot; a simulator for polymer chemistry; and xmonad, an ex- tensible window manager. -
Comparative Studies of Programming Languages; Course Lecture Notes
Comparative Studies of Programming Languages, COMP6411 Lecture Notes, Revision 1.9 Joey Paquet Serguei A. Mokhov (Eds.) August 5, 2010 arXiv:1007.2123v6 [cs.PL] 4 Aug 2010 2 Preface Lecture notes for the Comparative Studies of Programming Languages course, COMP6411, taught at the Department of Computer Science and Software Engineering, Faculty of Engineering and Computer Science, Concordia University, Montreal, QC, Canada. These notes include a compiled book of primarily related articles from the Wikipedia, the Free Encyclopedia [24], as well as Comparative Programming Languages book [7] and other resources, including our own. The original notes were compiled by Dr. Paquet [14] 3 4 Contents 1 Brief History and Genealogy of Programming Languages 7 1.1 Introduction . 7 1.1.1 Subreferences . 7 1.2 History . 7 1.2.1 Pre-computer era . 7 1.2.2 Subreferences . 8 1.2.3 Early computer era . 8 1.2.4 Subreferences . 8 1.2.5 Modern/Structured programming languages . 9 1.3 References . 19 2 Programming Paradigms 21 2.1 Introduction . 21 2.2 History . 21 2.2.1 Low-level: binary, assembly . 21 2.2.2 Procedural programming . 22 2.2.3 Object-oriented programming . 23 2.2.4 Declarative programming . 27 3 Program Evaluation 33 3.1 Program analysis and translation phases . 33 3.1.1 Front end . 33 3.1.2 Back end . 34 3.2 Compilation vs. interpretation . 34 3.2.1 Compilation . 34 3.2.2 Interpretation . 36 3.2.3 Subreferences . 37 3.3 Type System . 38 3.3.1 Type checking . 38 3.4 Memory management . -
Control Flow Analysis in Scheme
Control Flow Analysis in Scheme Olin Shivers Carnegie Mellon University [email protected] Abstract Fortran). Representative texts describing these techniques are [Dragon], and in more detail, [Hecht]. Flow analysis is perhaps Traditional ¯ow analysis techniques, such as the ones typically the chief tool in the optimising compiler writer's bag of tricks; employed by optimising Fortran compilers, do not work for an incomplete list of the problems that can be addressed with Scheme-like languages. This paper presents a ¯ow analysis ¯ow analysis includes global constant subexpression elimina- technique Ð control ¯ow analysis Ð which is applicable to tion, loop invariant detection, redundant assignment detection, Scheme-like languages. As a demonstration application, the dead code elimination, constant propagation, range analysis, information gathered by control ¯ow analysis is used to per- code hoisting, induction variable elimination, copy propaga- form a traditional ¯ow analysis problem, induction variable tion, live variable analysis, loop unrolling, and loop jamming. elimination. Extensions and limitations are discussed. However, these traditional ¯ow analysis techniques have The techniques presented in this paper are backed up by never successfully been applied to the Lisp family of computer working code. They are applicable not only to Scheme, but languages. This is a curious omission. The Lisp community also to related languages, such as Common Lisp and ML. has had suf®cient time to consider the problem. Flow analysis dates back at least to 1960, ([Dragon], pp. 516), and Lisp is 1 The Task one of the oldest computer programming languages currently in use, rivalled only by Fortran and COBOL. Flow analysis is a traditional optimising compiler technique Indeed, the Lisp community has long been concerned with for determining useful information about a program at compile the execution speed of their programs. -
Value Numbering
SOFTWARE—PRACTICE AND EXPERIENCE, VOL. 0(0), 1–18 (MONTH 1900) Value Numbering PRESTON BRIGGS Tera Computer Company, 2815 Eastlake Avenue East, Seattle, WA 98102 AND KEITH D. COOPER L. TAYLOR SIMPSON Rice University, 6100 Main Street, Mail Stop 41, Houston, TX 77005 SUMMARY Value numbering is a compiler-based program analysis method that allows redundant computations to be removed. This paper compares hash-based approaches derived from the classic local algorithm1 with partitioning approaches based on the work of Alpern, Wegman, and Zadeck2. Historically, the hash-based algorithm has been applied to single basic blocks or extended basic blocks. We have improved the technique to operate over the routine’s dominator tree. The partitioning approach partitions the values in the routine into congruence classes and removes computations when one congruent value dominates another. We have extended this technique to remove computations that define a value in the set of available expressions (AVA IL )3. Also, we are able to apply a version of Morel and Renvoise’s partial redundancy elimination4 to remove even more redundancies. The paper presents a series of hash-based algorithms and a series of refinements to the partitioning technique. Within each series, it can be proved that each method discovers at least as many redundancies as its predecessors. Unfortunately, no such relationship exists between the hash-based and global techniques. On some programs, the hash-based techniques eliminate more redundancies than the partitioning techniques, while on others, partitioning wins. We experimentally compare the improvements made by these techniques when applied to real programs. These results will be useful for commercial compiler writers who wish to assess the potential impact of each technique before implementation. -
Bohm2013.Pdf (3.003Mb)
This thesis has been submitted in fulfilment of the requirements for a postgraduate degree (e.g. PhD, MPhil, DClinPsychol) at the University of Edinburgh. Please note the following terms and conditions of use: • This work is protected by copyright and other intellectual property rights, which are retained by the thesis author, unless otherwise stated. • A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. • This thesis cannot be reproduced or quoted extensively from without first obtaining permission in writing from the author. • The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the author. • When referring to this work, full bibliographic details including the author, title, awarding institution and date of the thesis must be given. Speeding up Dynamic Compilation Concurrent and Parallel Dynamic Compilation Igor B¨ohm I V N E R U S E I T H Y T O H F G E R D I N B U Doctor of Philosophy Institute of Computing Systems Architecture School of Informatics University of Edinburgh 2013 Abstract The main challenge faced by a dynamic compilation system is to detect and translate frequently executed program regions into highly efficient native code as fast as possible. To efficiently reduce dynamic compilation latency, a dy- namic compilation system must improve its workload throughput, i.e. com- pile more application hotspots per time. As time for dynamic compilation adds to the overall execution time, the dynamic compiler is often decoupled and operates in a separate thread independent from the main execution loop to reduce the overhead of dynamic compilation.