XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-86_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:13
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 86,584 MAX VALUE 23,667.20 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.62 0.62 199.75 0.00 -153.84 0.08 0.13 1.01

Tightness 0.02 0.25 0.10 0.09 76.56 0.00 -1,774.62 0.04 0.36 2.24

Tuples 48 63 57.49 58.00 43,292 MAX VALUE 3,050.26 2.34 0.04 2.24

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 145.11 1.26 0.03 1.46

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	86,584	MAX VALUE	23,667.20	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.62	0.62	199.75	0.00	-153.84	0.08	0.13	1.01
Tightness	0.02	0.25	0.10	0.09	76.56	0.00	-1,774.62	0.04	0.36	2.24
Tuples	48	63	57.49	58.00	43,292	MAX VALUE	3,050.26	2.34	0.04	2.24
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	145.11	1.26	0.03	1.46
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: 4
Number of leaves: 2
Tree depth: 2
Dot-file path: None
PDF-file path: None

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

Cluster constraints 612 648 630.00 630.00 2,520 1.57e+11 25.78 17.51 0.03 1.39

Cluster variables 36 37 36.50 36.50 146 1,774,220 14.39 0.50 0.01 0.69

Separator constraints 0 612 441.75 577.50 1,767 0 None 255.43 0.58 1.39

Separator variables 0 36 26.50 35.00 106 0 None 15.31 0.58 1.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	612	648	630.00	630.00	2,520	1.57e+11	25.78	17.51	0.03	1.39
Cluster variables	36	37	36.50	36.50	146	1,774,220	14.39	0.50	0.01	0.69
Separator constraints	0	612	441.75	577.50	1,767	0	None	255.43	0.58	1.39
Separator variables	0	36	26.50	35.00	106	0	None	15.31	0.58	1.04

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 1,257 11,748 3,033.79 1,520.00 115,284 MAX VALUE 295.29 2,569.53 0.85 3.05

Cluster variables 70 489 146.26 77.00 5,558 MAX VALUE 181.87 108.05 0.74 2.82

Separator constraints 0 6,527 2,306.71 1,444.00 87,655 0 None 1,489.33 0.65 3.05

Separator variables 0 363 126.45 76.00 4,805 0 None 82.26 0.65 2.82

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,257	11,748	3,033.79	1,520.00	115,284	MAX VALUE	295.29	2,569.53	0.85	3.05
Cluster variables	70	489	146.26	77.00	5,558	MAX VALUE	181.87	108.05	0.74	2.82
Separator constraints	0	6,527	2,306.71	1,444.00	87,655	0	None	1,489.33	0.65	3.05
Separator variables	0	363	126.45	76.00	4,805	0	None	82.26	0.65	2.82

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 0.97 38.63 0.25 -1.39 0.00 0.00 2.30

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.26 0.03 1.46

Eccentricity 1 2 1.68 2.00 67 134,218,000 18.71 0.47 0.28 0.63

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.97	0.97	38.63	0.25	-1.39	0.00	0.00	2.30
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.11	1.26	0.03	1.46
Eccentricity	1	2	1.68	2.00	67	134,218,000	18.71	0.47	0.28	0.63

Triangulated primal graph

Density: 98.97%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.62 0.68 -0.38 0.00 0.00 0.64

Degree 35 39 38.60 39.00 1,544 MAX VALUE 146.12 1.02 0.03 0.69

Eccentricity 1 2 1.18 1.00 47 128 4.85 0.38 0.32 0.46

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.62	0.68	-0.38	0.00	0.00	0.64
Degree	35	39	38.60	39.00	1,544	MAX VALUE	146.12	1.02	0.03	0.69
Eccentricity	1	2	1.18	1.00	47	128	4.85	0.38	0.32	0.46

Dual graph

Density: 9.76%
MCB compute time (ms): 25,568
MCB cycles: 26,877
Triangles: 337,992
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 0.51 381.57 0.00 -511.86 0.00 0.00 2.22

Degree 69 76 73.38 73.00 55,258 MAX VALUE 3,234.46 1.71 0.02 1.89

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 80,631 MAX VALUE 29,527.40 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	381.57	0.00	-511.86	0.00	0.00	2.22
Degree	69	76	73.38	73.00	55,258	MAX VALUE	3,234.46	1.71	0.02	1.89
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	80,631	MAX VALUE	29,527.40	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 10,112
MCB cycles: 714

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 1,002.10 0.96 0.25 1.25

Eccentricity 9 15 11.74 12.00 8,838 MAX VALUE 1,851.08 1.11 0.09 1.51

MCB cycle size 3 12 6.07 6.00 4,337 MAX VALUE 1,271.77 1.27 0.21 1.61

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	1,002.10	0.96	0.25	1.25
Eccentricity	9	15	11.74	12.00	8,838	MAX VALUE	1,851.08	1.11	0.09	1.51
MCB cycle size	3	12	6.07	6.00	4,337	MAX VALUE	1,271.77	1.27	0.21	1.61

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: 7.17%

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

Clustering coefficient 0.47 1.00 0.82 0.78 616.02 0.00 -163.23 0.15 0.18 4.08

Degree 2 217 53.92 9.00 40,600 MAX VALUE 2,099.69 74.59 1.38 3.74

Eccentricity 3 5 3.92 4.00 2,950 MAX VALUE 1,019.52 0.59 0.15 0.88

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.82	0.78	616.02	0.00	-163.23	0.15	0.18	4.08
Degree	2	217	53.92	9.00	40,600	MAX VALUE	2,099.69	74.59	1.38	3.74
Eccentricity	3	5	3.92	4.00	2,950	MAX VALUE	1,019.52	0.59	0.15	0.88

Incidence graph

Density: 0.48%
MCB compute time (ms): 861
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 3,208 MAX VALUE 1,106.53 0.28 0.07 0.31

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