XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-28_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:10
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 40
Number of constraints: 753

General features

Number of coarse blocks: 12,048
Number of unique subscopes: 40

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00

Coarse blocks size 3 8 7.19 7.00 86,586 MAX VALUE 23,667.50 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.62 0.62 199.75 0.00 -153.78 0.08 0.13 0.99

Tightness 0.02 0.22 0.10 0.09 76.55 0.00 -1,780.39 0.04 0.37 2.27

Tuples 50 63 57.49 58.00 43,293 MAX VALUE 3,050.26 2.38 0.04 2.27

Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00

Constraints per subscope 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.13 0.03 1.41

Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	1,506	MAX VALUE	521.94	0.00	0.00	0.00
Coarse blocks size	3	8	7.19	7.00	86,586	MAX VALUE	23,667.50	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.62	0.62	199.75	0.00	-153.78	0.08	0.13	0.99
Tightness	0.02	0.22	0.10	0.09	76.55	0.00	-1,780.39	0.04	0.37	2.27
Tuples	50	63	57.49	58.00	43,293	MAX VALUE	3,050.26	2.38	0.04	2.27
Domain size	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00
Constraints per subscope	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.13	0.03	1.41
Partitions per subscope	8	8	8.00	8.00	320	1.33e+36	83.18	0.00	0.00	0.00

Tree decomposition

Number of clusters: 3
Number of leaves: 2
Tree depth: 1
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 613 683 636.33 613.00 1,909 256,650,000 19.36 33.00 0.05 0.64

Cluster variables 36 38 36.67 36.00 110 49,248 10.80 0.94 0.03 0.64

Separator constraints 0 578 385.33 578.00 1,156 0 None 272.47 0.71 0.64

Separator variables 0 35 23.33 35.00 70 0 None 16.50 0.71 0.64

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	613	683	636.33	613.00	1,909	256,650,000	19.36	33.00	0.05	0.64
Cluster variables	36	38	36.67	36.00	110	49,248	10.80	0.94	0.03	0.64
Separator constraints	0	578	385.33	578.00	1,156	0	None	272.47	0.71	0.64
Separator variables	0	35	23.33	35.00	70	0	None	16.50	0.71	0.64

Dual tree decomposition

Number of clusters: 38
Number of leaves: 20
Tree depth: 4
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 1,221 11,811 3,031.47 1,520.00 115,196 MAX VALUE 295.29 2,564.94 0.85 3.03

Cluster variables 69 490 146.24 77.00 5,557 MAX VALUE 181.87 107.97 0.74 2.78

Separator constraints 0 6,483 2,304.55 1,444.00 87,573 0 None 1,482.46 0.64 2.99

Separator variables 0 362 126.42 76.00 4,804 0 None 82.14 0.65 2.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,221	11,811	3,031.47	1,520.00	115,196	MAX VALUE	295.29	2,564.94	0.85	3.03
Cluster variables	69	490	146.24	77.00	5,557	MAX VALUE	181.87	107.97	0.74	2.78
Separator constraints	0	6,483	2,304.55	1,444.00	87,573	0	None	1,482.46	0.64	2.99
Separator variables	0	362	126.42	76.00	4,804	0	None	82.14	0.65	2.75

Primal graph

Density: 96.54%
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.96 0.97 0.97 0.96 38.62 0.25 -1.41 0.00 0.00 2.20

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.13 0.03 1.41

Eccentricity 1 2 1.77 2.00 71 2.15e+09 21.49 0.42 0.24 0.53

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.96	38.62	0.25	-1.41	0.00	0.00	2.20
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	1.13	0.03	1.41
Eccentricity	1	2	1.77	2.00	71	2.15e+09	21.49	0.42	0.24	0.53

Triangulated primal graph

Density: 99.10%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.99 1.00 0.99 0.99 39.67 0.72 -0.33 0.00 0.00 0.61

Degree 35 39 38.65 39.00 1,546 MAX VALUE 146.17 0.91 0.02 0.61

Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.67	0.72	-0.33	0.00	0.00	0.61
Degree	35	39	38.65	39.00	1,546	MAX VALUE	146.17	0.91	0.02	0.61
Eccentricity	1	2	1.20	1.00	48	256	5.55	0.40	0.33	0.50

Dual graph

Density: 9.76%
MCB compute time (ms): 35,143
MCB cycles: 26,871
Triangles: 337,767
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.51 0.51 0.51 0.51 381.53 0.00 -511.95 0.00 0.00 2.22

Degree 68 76 73.37 74.00 55,246 MAX VALUE 3,234.33 1.54 0.02 1.80

Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00

MCB cycle size 3 3 3.00 3.00 80,613 MAX VALUE 29,520.80 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.51	0.51	0.51	0.51	381.53	0.00	-511.95	0.00	0.00	2.22
Degree	68	76	73.37	74.00	55,246	MAX VALUE	3,234.33	1.54	0.02	1.80
Eccentricity	2	2	2.00	2.00	1,506	MAX VALUE	521.94	0.00	0.00	0.00
MCB cycle size	3	3	3.00	3.00	80,613	MAX VALUE	29,520.80	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,716
MCB cycles: 716

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 16.43 0.03

Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,002.52 0.95 0.24 1.25

Eccentricity 9 15 11.46 11.00 8,630 MAX VALUE 1,832.81 1.14 0.10 1.53

MCB cycle size 3 14 6.10 6.00 4,368 MAX VALUE 1,278.94 1.26 0.21 1.56

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	0.83	0.00	None	0.02	16.43	0.03
Degree	2	7	3.89	4.00	2,932	MAX VALUE	1,002.52	0.95	0.24	1.25
Eccentricity	9	15	11.46	11.00	8,630	MAX VALUE	1,832.81	1.14	0.10	1.53
MCB cycle size	3	14	6.10	6.00	4,368	MAX VALUE	1,278.94	1.26	0.21	1.56

Triangulated dual graph

Density: None%
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient None None None None None None None None None None

Degree None None None None None None None None None None

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	None
Degree	None	None	None	None	None	None	None	None	None	None
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 7.00%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.49 1.00 0.82 0.78 615.07 0.00 -164.75 0.15 0.18 4.08

Degree 2 212 52.67 9.00 39,664 MAX VALUE 2,090.51 73.23 1.39 3.72

Eccentricity 3 6 4.66 5.00 3,512 MAX VALUE 1,154.24 0.55 0.12 0.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	1.00	0.82	0.78	615.07	0.00	-164.75	0.15	0.18	4.08
Degree	2	212	52.67	9.00	39,664	MAX VALUE	2,090.51	73.23	1.39	3.72
Eccentricity	3	6	4.66	5.00	3,512	MAX VALUE	1,154.24	0.55	0.12	0.81

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,039
MCB cycles: 714
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00

Degree 2 39 3.80 2.00 3,012 MAX VALUE 667.05 7.81 2.06 0.27

Eccentricity 3 5 4.05 4.00 3,212 MAX VALUE 1,107.68 0.27 0.07 0.29

MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00

XCSP 2.1 Benchmarks