Article

On the decidability of phase ordering problem in optimizing compilation

Authors:

Sid-Ahmed-Ali Touati,

Denis BarthouAuthors Info & Claims

CF '06: Proceedings of the 3rd conference on Computing frontiers

Pages 147 - 156

https://doi.org/10.1145/1128022.1128042

Published: 03 May 2006 Publication History

Abstract

We are interested in the computing frontier around an essential question about compiler construction: having a program P and a set M of non parametric compiler optimization modules (called also phases), is it possible to find a sequence s of these phases such that the performance (execution time for instance) of the final generated program P′ is "optimal" ? We prove in this article that this problem is undecidable in two general schemes of optimizing compilation: iterative compilation and library optimization/generation. Fortunately, we give some simplified cases when this problem be-comes decidable, and we provide some algorithms (not necessary efficient) that can answer our main question. Another essential question that we are interested in is parame-ters space exploration in optimizing compilation (tuning optimizing compilation parameters). In this case, we assume a fixed sequence of optimization, but each optimization phase is allowed to have a parameter. We try to figure out how to compute the best parameter values for all program transformations when the compilation sequence is given. We also prove that this general problem is undecidable and we provide some simplified decidable instances.

References

[1]

A. Cohen and S. Girbal and O. Temam. A Polyhedral Approach to Ease the Composition of Program Transformations. In Proceedings of Euro-Par'04, Aug. 2004.

[2]

B. Aarts and M. Barreteau and F. Bodin and P. Brinkhaus and Z. Chamski and H.-P. Charles and C. Eisenbeis and J. R. Gurd and J. Hoogerbrugge and P. Hu and W. Jalby and P. M. W. Knijnenburg and M. F. P. O'Boyle and E. Rohou and R. Sakellariou and H. Schepers and A. Seznec and E. A. Stohr and M. Verhoeven and H. A. G. Wijshoff. OCEANS: Optimizing Compilers for Embedded Applications. In Proceedings of EuroPar'97, Lecture Notes in Computer Science. Springer-Verlag, 1997.

Digital Library

[3]

C. Click and K. D. Cooper. Combining Analyses, Combining Optimizations. ACM Transactions on Programming Languages and Systems, 17(2):181--196, 1995.

Digital Library

[4]

D. Callahan, J. Cocke, and K. Kennedy. Estimating Interlock and Improving Balance for Pipelined Architectures. Journal of Parallel and Distributed Computing, 5(4):334--358, Aug. 1988.

Digital Library

[5]

K. D. Cooper, D. Subramanian, and L. Torczon. Adaptive Optimizing Compilers for the 21st Century. The Journal of Supercomputing, 23(1):7--22, 2002.

Digital Library

[6]

L. Eeckhout, H. Vandierendonck, and K. D. Bosschere. Quantifying the Impact of Input Data Sets on Program Behavior and its Applications. Journal of Instruction-Level Parallelism, 5, 2003. Electronic journal : www.jilp.org.

[7]

S. M. Freudenberger and J. C. Ruttenberg. Phase Ordering of Register Allocation and Instruction Scheduling. In Code Generation - Concepts, Tools, Techniques. Proceedings of the International Workshop on Code Generation, pages 146--172, London, 1992. Springer-Verlag.

[8]

M. Frigo. A Fast Fourier Transform Compiler. In Proc. of Programing Language Design and Implementation, 1999.

Digital Library

[9]

J. E. Hopcroft and J. D. Ullman. Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, 1979.

Digital Library

[10]

J. P. Jones. Universal Diophantine Equation. Journal of Symbolic Logic, 47(3):403--410, 1982.

[11]

K. Kennedy, N. McIntosh, and K. McKinley. Static Performance Estimation in a Parallelizing Compiler. Technical Report CRPC-TR92204, Center for Research on Parallel Computation, Rice University, May 1992.

[12]

L. Almagor and K. D. Cooper and A. Grosul and T. J. Harvey and S. W. Reeves and D. Subramanian and L. Torczon and T. Waterman. Finding effective compilation sequences. In Proceeding of the Conference on Languages, Compilers, and Tools for Embedded Systems (LCTES'04), Washington, DC, June 2004. ACM.

Digital Library

[13]

M. E. Wolf and D. E. Maydan and D.-K. Chen. Combining Loop Transformations Considering Caches and Scheduling. International Journal of Parallel Programming, 26(4):479--503, 1998.

Digital Library

[14]

M. Pschel and J. M. F. Moura and J. Johnson and D. Padua and M. Veloso and B. Singer and J. Xiong and F. Franchetti and A. Gacic and Y. Voronenko and K. Chen and R. W. Johnson and N. Rizzolo. SPIRAL: Code Generation for DSP Transforms. Proceedings of the IEEE special issue on Program Generation, Optimization and Adaptation, (2):232--275, 2005.

[15]

M. Zhao and B. R. Childers and M. L. Soffa. A Model-Based Framework: An Approach for Profit-driven Optimization. In ACM SIGMICRO Int. Conference on Code Generation and Optimization (CGO'05), San Jose, California, Mar. 2005.

Digital Library

[16]

W. Mangione-Smith, T.-P. Shih, S. Abraham, and E. Davidson. Approaching a Machine-Application Bound in Delivered Performance on Scientifique Code. In Proceedings of the IEEE, volume 81, pages 1166--1178, Aug. 1993.

[17]

Y. Matiyasevich. Elimination of quantifiers from arithmetical formulas defining recursively enumerable sets. Math. Comput. Simul., 67(1-2):125--133, 2004.

Digital Library

[18]

R. Jain. The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling. John Wiley and Sons, Inc., New York, 1991.

[19]

R. Whaley and A. Petitet and J. Dongarra. Automated Empirical Optimizations of Software and the ATLAS Project. Parallel Computing, 27(1-2):3--25, 2001. ISSN 0167--8191.

Digital Library

[20]

U. Schwiegelshohn, F. Gasperoni, and K. Ebcioglu. On Optimal Parallelization of Arbitrary Loops. Journal of Parallel and Distributed Computing, 11:130--134, 1991.

Digital Library

[21]

T. Alexander. Performance Prediction for Loop Restructuring Optimization. Master thesis, University of Carnegie Mellon. Physics/Computer Science Department, July 1993.

[22]

T. L. Veldhuizen and A. Lumsdaine. Guaranteed Optimization: Proving Nullspace Properties of Compilers. In 9th International Symposium on Static Analysis (SAS 2002). Lecture Notes in Computer Science., volume 2477, pages 263--277. springer, 2002.

Digital Library

[23]

K. B. Theobald, G. R. Gao, and L. J. Hendren. On the Limits of Program Parallelism and its Smoothability. In Wen-mei Hwu, editor, Proceedings of the 25th Annual International Symposium on Microarchitecture, pages 10--19, Portland, OR, Dec. 1992. IEEE.

Digital Library

[24]

S. Triantafyllis, M. Vachharajani, and D. I. August. Compiler Optimization-Space Exploration. Journal of Instruction-Level Parallelism, 7, Jan. 2005. Electronic journal: www.jilp.org.

[25]

K.-Y. Wang. Precise Compile-Time Performance Prediction for Superscalar-Based Computers. ACM SIGPLAN Notices, 29(6):73--84, June 1994.

Digital Library

[26]

D. Whitfield and M. L. Soffa. An Approach for Exploring Code-Improving Transformations. ACM Transactions on Programming Languages and Systems, 19(6):1053--1084, 1997.

Digital Library

Cited By

Theodoridis TSu Z(2024)Refined Input, Degraded Output: The Counterintuitive World of Compiler BehaviorProceedings of the ACM on Programming Languages10.1145/36564048:PLDI(671-691)Online publication date: 20-Jun-2024
https://dl.acm.org/doi/10.1145/3656404
Kœhler TGoens ABhat SGrosser TTrinder PSteuwer M(2024)Guided Equality SaturationProceedings of the ACM on Programming Languages10.1145/36329008:POPL(1727-1758)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632900
Zhang YChandra SBlincoe KTonella P(2023)Detection of Optimizations Missed by the CompilerProceedings of the 31st ACM Joint European Software Engineering Conference and Symposium on the Foundations of Software Engineering10.1145/3611643.3617846(2192-2194)Online publication date: 30-Nov-2023
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Index Terms

On the decidability of phase ordering problem in optimizing compilation
1. Software and its engineering
  1. Software notations and tools
    1. Compilers

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Published In

cover image ACM Conferences

CF '06: Proceedings of the 3rd conference on Computing frontiers

May 2006

430 pages

ISBN:1595933026

DOI:10.1145/1128022

General Chairs:
Monica Alderighi
IASF - INAF
,
Valentina Salapura
IBM
,
Program Chair:
Sally A. McKee
Cornell University

Copyright © 2006 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 03 May 2006

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May 3 - 5, 2006

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Overall Acceptance Rate 273 of 785 submissions, 35%

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Cited By

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https://dl.acm.org/doi/10.1145/3656404
Kœhler TGoens ABhat SGrosser TTrinder PSteuwer M(2024)Guided Equality SaturationProceedings of the ACM on Programming Languages10.1145/36329008:POPL(1727-1758)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632900
Zhang YChandra SBlincoe KTonella P(2023)Detection of Optimizations Missed by the CompilerProceedings of the 31st ACM Joint European Software Engineering Conference and Symposium on the Foundations of Software Engineering10.1145/3611643.3617846(2192-2194)Online publication date: 30-Nov-2023
https://dl.acm.org/doi/10.1145/3611643.3617846
Theodoridis TRigger MSu ZFalsafi BFerdman MLu SWenisch T(2022)Finding missed optimizations through the lens of dead code eliminationProceedings of the 27th ACM International Conference on Architectural Support for Programming Languages and Operating Systems10.1145/3503222.3507764(697-709)Online publication date: 28-Feb-2022
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Jain SAndaluri YVenkataKeerthy SUpadrasta R(2022)POSET-RL: Phase ordering for Optimizing Size and Execution Time using Reinforcement Learning2022 IEEE International Symposium on Performance Analysis of Systems and Software (ISPASS)10.1109/ISPASS55109.2022.00012(121-131)Online publication date: May-2022
https://doi.org/10.1109/ISPASS55109.2022.00012
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