Different implementations of a simple Collatz iterator and their performance

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Revision as of 22:24, 2 January 2009 by Bjoern (Talk | contribs) (Visual C++)

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The Collatz conjecture was proposed by Lothar Collatz in 1937. The conjecture is also known as the 3n + 1 conjecture.

The procedure is that if n is divisible by two then divide by two, else multiply by 3 and add 1, iterate until n reaches 1. The unproven conjecture is that for all values of n the procedure will always reach 1.

The benchmark times the iteration of the 226 first values of n.

Visual C++

Vista 64, 2.4 GHz core 2 Q6600

  • 22.1s C++ 64 bit exe, one thread, unrolled 1000x
  • 30.5s C++ 64 bit exe, one thread, unrolled 10x
  • 45.9s C++ 32 bit exe, one thread, unrolled 1000x
  • 49.2s C++ 64 bit exe, one thread, not unrolled
  • 53.3s C++ 32 bit exe, one thread, unrolled 10x
  • 76.1s C++ 32 bit exe, one thread, not unrolled

Vista 32, 2.66 GHz core 2 E66750

  • 41.3 C++ 32 bit exe, one thread, unrolled 1000x
  • 47.7 C++ 32 bit exe, one thread, unrolled 10x

Visual Basic 2008

Vista 64, 2.4 GHz core 2 Q6600

55.4s VB .net exe, one thread

Vista 32, 2.66 GHz core 2 E66750

66.4 VB .net exe, one thread

x86 assembly language

CUDA

1.625 GHz GTS 512,

2.3s CUDA 128 blocks x 256 threads

BSGP

External links