XCSP 2.1 Benchmark Database

Instance: rand-2-40-80-103-800-11_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:52
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 40
Number of constraints: 103

General features

Number of coarse blocks: 16,480
Number of unique subscopes: 40

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

Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00

Coarse blocks size 3 30 16.04 16.00 264,372 MAX VALUE 45,309.60 3.56 0.22 2.68

Relational linkage 0.04 0.29 0.15 0.15 486.60 0.00 -6,093.67 0.03 0.20 2.30

Tightness 0.78 0.81 0.80 0.80 82.35 0.00 -23.05 0.01 0.01 4.17

Tuples 1,191 1,379 1,283.36 1,284.00 132,186 MAX VALUE 737.15 35.89 0.03 4.17

Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00

Constraints per subscope 2 9 5.15 5.00 206 1.10e+27 62.26 1.92 0.37 1.92

Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 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	206	1.01e+31	71.39	0.00	0.00	0.00
Coarse blocks size	3	30	16.04	16.00	264,372	MAX VALUE	45,309.60	3.56	0.22	2.68
Relational linkage	0.04	0.29	0.15	0.15	486.60	0.00	-6,093.67	0.03	0.20	2.30
Tightness	0.78	0.81	0.80	0.80	82.35	0.00	-23.05	0.01	0.01	4.17
Tuples	1,191	1,379	1,283.36	1,284.00	132,186	MAX VALUE	737.15	35.89	0.03	4.17
Domain size	80	80	80.00	80.00	3,200	MAX VALUE	175.28	0.00	0.00	0.00
Constraints per subscope	2	9	5.15	5.00	206	1.10e+27	62.26	1.92	0.37	1.92
Partitions per subscope	80	80	80.00	80.00	3,200	MAX VALUE	175.28	0.00	0.00	0.00

Tree decomposition

Number of clusters: 27
Number of leaves: 13
Tree depth: 5
Dot-file path: None
PDF-file path: None

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

Cluster constraints 2 15 5.93 4.00 160 1.97e+18 42.13 4.16 0.70 2.13

Cluster variables 3 14 6.63 6.00 179 6.85e+20 47.98 3.23 0.49 2.19

Separator constraints 0 10 2.11 1.00 57 0 None 2.99 1.41 1.50

Separator variables 0 12 5.15 5.00 139 0 None 3.06 0.60 2.19

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	2	15	5.93	4.00	160	1.97e+18	42.13	4.16	0.70	2.13
Cluster variables	3	14	6.63	6.00	179	6.85e+20	47.98	3.23	0.49	2.19
Separator constraints	0	10	2.11	1.00	57	0	None	2.99	1.41	1.50
Separator variables	0	12	5.15	5.00	139	0	None	3.06	0.60	2.19

Dual tree decomposition

Number of clusters: 38
Number of leaves: 14
Tree depth: 6
Dot-file path: None
PDF-file path: None

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

Cluster constraints 4 61 29.37 24.00 1,116 MAX VALUE 121.65 16.39 0.56 3.26

Cluster variables 4 34 13.47 11.50 512 MAX VALUE 93.88 7.19 0.53 2.70

Separator constraints 0 41 16.18 14.50 615 0 None 10.09 0.62 3.10

Separator variables 0 23 10.76 9.50 409 0 None 5.49 0.51 2.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	4	61	29.37	24.00	1,116	MAX VALUE	121.65	16.39	0.56	3.26
Cluster variables	4	34	13.47	11.50	512	MAX VALUE	93.88	7.19	0.53	2.70
Separator constraints	0	41	16.18	14.50	615	0	None	10.09	0.62	3.10
Separator variables	0	23	10.76	9.50	409	0	None	5.49	0.51	2.75

Primal graph

Density: 13.21%
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 0.47 0.15 0.13 6.02 0.00 None 0.12 0.78 2.41

Degree 2 9 5.15 5.00 206 1.10e+27 62.26 1.92 0.37 1.92

Eccentricity 3 4 3.73 4.00 149 5.11e+22 52.29 0.45 0.12 0.59

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.47	0.15	0.13	6.02	0.00	None	0.12	0.78	2.41
Degree	2	9	5.15	5.00	206	1.10e+27	62.26	1.92	0.37	1.92
Eccentricity	3	4	3.73	4.00	149	5.11e+22	52.29	0.45	0.12	0.59

Triangulated primal graph

Density: 29.49%

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

Clustering coefficient 0.48 1.00 0.79 0.75 31.51 0.00 -10.52 0.17 0.22 2.70

Degree 2 25 11.50 10.00 460 1.21e+37 85.39 7.74 0.67 2.91

Eccentricity 2 4 3.12 3.00 125 3.60e+19 45.03 0.51 0.16 0.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	1.00	0.79	0.75	31.51	0.00	-10.52	0.17	0.22	2.70
Degree	2	25	11.50	10.00	460	1.21e+37	85.39	7.74	0.67	2.91
Eccentricity	2	4	3.12	3.00	125	3.60e+19	45.03	0.51	0.16	0.75

Dual graph

Density: 9.54%
MCB compute time (ms): 110
MCB cycles: 416
Triangles: 788
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.33 0.78 0.50 0.49 51.64 0.00 -71.96 0.07 0.13 3.40

Degree 3 16 9.73 10.00 1,002 MAX VALUE 229.97 2.68 0.28 2.36

Eccentricity 3 5 3.97 4.00 409 MAX VALUE 141.67 0.33 0.08 0.41

MCB cycle size 3 6 3.19 3.00 1,326 MAX VALUE 477.70 0.54 0.17 0.48

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.33	0.78	0.50	0.49	51.64	0.00	-71.96	0.07	0.13	3.40
Degree	3	16	9.73	10.00	1,002	MAX VALUE	229.97	2.68	0.28	2.36
Eccentricity	3	5	3.97	4.00	409	MAX VALUE	141.67	0.33	0.08	0.41
MCB cycle size	3	6	3.19	3.00	1,326	MAX VALUE	477.70	0.54	0.17	0.48

Minimal dual graph

Density: 3.16%
MCB compute time (ms): 37
MCB cycles: 64

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 5 3.22 3.00 332 MAX VALUE 118.41 0.64 0.20 0.97

Eccentricity 6 8 6.78 7.00 698 MAX VALUE 196.76 0.54 0.08 0.80

MCB cycle size 4 9 6.78 7.00 434 MAX VALUE 121.47 1.17 0.17 1.53

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	5	3.22	3.00	332	MAX VALUE	118.41	0.64	0.20	0.97
Eccentricity	6	8	6.78	7.00	698	MAX VALUE	196.76	0.54	0.08	0.80
MCB cycle size	4	9	6.78	7.00	434	MAX VALUE	121.47	1.17	0.17	1.53

Triangulated dual graph

Density: 30.55%
Triangles: 15,025

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

Clustering coefficient 0.57 1.00 0.79 0.77 81.15 0.00 -25.93 0.13 0.16 4.13

Degree 3 59 31.16 27.00 3,210 MAX VALUE 329.18 18.49 0.59 3.55

Eccentricity 2 4 2.98 3.00 307 MAX VALUE 111.40 0.42 0.14 0.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.57	1.00	0.79	0.77	81.15	0.00	-25.93	0.13	0.16	4.13
Degree	3	59	31.16	27.00	3,210	MAX VALUE	329.18	18.49	0.59	3.55
Eccentricity	2	4	2.98	3.00	307	MAX VALUE	111.40	0.42	0.14	0.58

Triangulated minimal dual graph

Density: 11.65%

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

Clustering coefficient 0.44 1.00 0.75 0.67 77.61 0.00 -32.57 0.19 0.26 2.98

Degree 2 39 11.88 6.00 1,224 MAX VALUE 207.57 11.35 0.96 2.88

Eccentricity 3 5 3.81 4.00 392 MAX VALUE 136.58 0.54 0.14 0.80

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.44	1.00	0.75	0.67	77.61	0.00	-32.57	0.19	0.26	2.98
Degree	2	39	11.88	6.00	1,224	MAX VALUE	207.57	11.35	0.96	2.88
Eccentricity	3	5	3.81	4.00	392	MAX VALUE	136.58	0.54	0.14	0.80

Incidence graph

Density: 2.03%
MCB compute time (ms): 45
MCB cycles: 64
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 9 2.88 2.00 412 MAX VALUE 133.66 1.74 0.60 0.99

Eccentricity 7 10 8.22 8.00 1,175 MAX VALUE 300.68 0.69 0.08 1.04

MCB cycle size 6 10 7.53 8.00 482 MAX VALUE 127.93 1.53 0.20 1.05

XCSP 2.1 Benchmarks