XCSP 2.1 Benchmark Database

Instance: rand-2-40-8-753-100-18_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:12
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 86,646 MAX VALUE 23,675.10 0.85 0.12 1.16

Relational linkage 0.38 0.75 0.62 0.62 199.50 0.00 -154.68 0.09 0.14 1.01

Tightness 0.02 0.25 0.10 0.09 76.08 0.00 -1,787.47 0.04 0.37 2.27

Tuples 48 63 57.53 58.00 43,323 MAX VALUE 3,050.78 2.39 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 0.96 0.03 1.34

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	86,646	MAX VALUE	23,675.10	0.85	0.12	1.16
Relational linkage	0.38	0.75	0.62	0.62	199.50	0.00	-154.68	0.09	0.14	1.01
Tightness	0.02	0.25	0.10	0.09	76.08	0.00	-1,787.47	0.04	0.37	2.27
Tuples	48	63	57.53	58.00	43,323	MAX VALUE	3,050.78	2.39	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	0.96	0.03	1.34
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 645 681 657.33 646.00 1,972 283,752,000 19.46 16.74 0.03 1.10

Cluster variables 37 38 37.33 37.00 112 52,022 10.86 0.47 0.01 0.64

Separator constraints 0 610 406.33 609.00 1,219 0 None 287.32 0.71 1.10

Separator variables 0 36 24.00 36.00 72 0 None 16.97 0.71 0.64

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	645	681	657.33	646.00	1,972	283,752,000	19.46	16.74	0.03	1.10
Cluster variables	37	38	37.33	37.00	112	52,022	10.86	0.47	0.01	0.64
Separator constraints	0	610	406.33	609.00	1,219	0	None	287.32	0.71	1.10
Separator variables	0	36	24.00	36.00	72	0	None	16.97	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 1,256 11,761 3,026.66 1,520.00 115,013 MAX VALUE 295.28 2,552.26 0.84 3.01

Cluster variables 70 489 146.13 77.00 5,553 MAX VALUE 181.87 107.70 0.74 2.69

Separator constraints 0 6,441 2,299.92 1,444.00 87,397 0 None 1,472.28 0.64 2.97

Separator variables 0 361 126.32 76.00 4,800 0 None 81.90 0.65 2.65

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1,256	11,761	3,026.66	1,520.00	115,013	MAX VALUE	295.28	2,552.26	0.84	3.01
Cluster variables	70	489	146.13	77.00	5,553	MAX VALUE	181.87	107.70	0.74	2.69
Separator constraints	0	6,441	2,299.92	1,444.00	87,397	0	None	1,472.28	0.64	2.97
Separator variables	0	361	126.32	76.00	4,800	0	None	81.90	0.65	2.65

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 0.96 0.96 38.60 0.24 -1.43 0.00 0.00 2.10

Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 0.96 0.03 1.34

Eccentricity 1 2 1.80 2.00 72 4.29e+09 22.18 0.40 0.22 0.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.96	0.97	0.96	0.96	38.60	0.24	-1.43	0.00	0.00	2.10
Degree	35	39	37.65	38.00	1,506	MAX VALUE	145.12	0.96	0.03	1.34
Eccentricity	1	2	1.80	2.00	72	4.29e+09	22.18	0.40	0.22	0.50

Triangulated primal graph

Density: 99.36%

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

Clustering coefficient 0.99 1.00 0.99 0.99 39.76 0.79 -0.24 0.00 0.00 0.52

Degree 36 39 38.75 39.00 1,550 MAX VALUE 146.28 0.70 0.02 0.52

Eccentricity 1 2 1.15 1.00 46 64 4.16 0.36 0.31 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	39.76	0.79	-0.24	0.00	0.00	0.52
Degree	36	39	38.75	39.00	1,550	MAX VALUE	146.28	0.70	0.02	0.52
Eccentricity	1	2	1.15	1.00	46	64	4.16	0.36	0.31	0.42

Dual graph

Density: 9.75%
MCB compute time (ms): 35,823
MCB cycles: 26,864
Triangles: 337,509
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 0.51 381.47 0.00 -512.07 0.00 0.00 2.11

Degree 69 76 73.35 73.00 55,232 MAX VALUE 3,234.19 1.33 0.02 1.69

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 80,592 MAX VALUE 29,513.10 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	381.47	0.00	-512.07	0.00	0.00	2.11
Degree	69	76	73.35	73.00	55,232	MAX VALUE	3,234.19	1.33	0.02	1.69
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	80,592	MAX VALUE	29,513.10	0.00	0.00	0.00

Minimal dual graph

Density: 0.52%
MCB compute time (ms): 8,300
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 1,002.44 0.95 0.24 1.25

Eccentricity 9 14 11.68 12.00 8,793 MAX VALUE 1,846.65 1.19 0.10 1.57

MCB cycle size 3 9 6.12 6.00 4,372 MAX VALUE 1,278.92 1.21 0.20 1.57

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	1,002.44	0.95	0.24	1.25
Eccentricity	9	14	11.68	12.00	8,793	MAX VALUE	1,846.65	1.19	0.10	1.57
MCB cycle size	3	9	6.12	6.00	4,372	MAX VALUE	1,278.92	1.21	0.20	1.57

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: 6.81%

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

Clustering coefficient 0.49 1.00 0.82 0.78 614.39 0.00 -165.87 0.15 0.18 4.08

Degree 2 217 51.17 10.00 38,534 MAX VALUE 2,085.70 70.91 1.39 3.76

Eccentricity 3 6 4.32 4.00 3,250 MAX VALUE 1,094.29 0.58 0.13 0.87

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	1.00	0.82	0.78	614.39	0.00	-165.87	0.15	0.18	4.08
Degree	2	217	51.17	10.00	38,534	MAX VALUE	2,085.70	70.91	1.39	3.76
Eccentricity	3	6	4.32	4.00	3,250	MAX VALUE	1,094.29	0.58	0.13	0.87

Incidence graph

Density: 0.48%
MCB compute time (ms): 1,038
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 667.06 7.81 2.05 0.27

Eccentricity 3 5 4.05 4.00 3,209 MAX VALUE 1,107.07 0.25 0.06 0.27

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