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Table 1 Sequential SAT solver statistics and execution times on random 3-SAT equations. Initial statistics and wall clock times for baseline testing of the Mézard and Zecchina sequential implementation of Survey Propagation and Walksat SAT solvers on a personal computer running Windows XP on a single Intel 2.00 GHz Pentium M processor.

From: BioGraphE: high-performance bionetwork analysis using the Biological Graph Environment

SP Variables

SP Clauses

α

Walksat Variables

Walksat Clauses

Walksat α

Walksat Exec Time (alone)

SP Exec Time (comb.)

Walksat Exec Time (comb.)

SP+Walksat Exec Time (comb.)

1,000

4,200

4.20

790

2,595

3.28

0.05

0.34

0.02

0.36

2,500

10,500

4.20

429

485

1.13

3.83

2.78

0.02

2.80

5,000

21,000

4.20

2,785

6,939

2.49

22.41

3.30

0.02

3.31

7,500

31,500

4.20

4,633

12,569

2.71

457.95

5.25

0.34

5.59

10,000

42,000

4.20

5,464

13,465

2.46

492.75

9.30

0.05

9.34

50,000

210,000

4.20

26,318

63,467

2.41

3,388.52

98.61

1.64

100.25

100,000

420,000

4.20

56,649

143,932

2.54

5,121.84

231.27

4.19

235.45