XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-5-ext
Number of variables: 50
Number of constraints: 469
Satisfiable: True
Timestamp: 2025-07-27 21:34:16
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 469

General features

Coarse blocks: 21,574
Value tables: 50

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

Arity 2 2 2.00 2.00 938 MAX VALUE 325.09 0.00 0.00 0.00

Coarse blocks size 2 23 16.76 17.00 361,582 MAX VALUE 60,443.70 2.87 0.17 2.41

Relational linkage 0.09 0.70 0.46 0.48 524.61 0.00 -931.00 0.09 0.21 2.19

Tightness 0.23 0.66 0.27 0.23 127.24 0.00 -630.20 0.09 0.32 1.16

Tuples 181 408 385.48 408.00 180,791 MAX VALUE 2,788.66 45.93 0.12 1.16

Values 23 23 23.00 23.00 1,150 MAX VALUE 156.78 0.00 0.00 0.00

Value table constraints 12 26 18.76 19.00 938 MAX VALUE 145.91 3.03 0.16 2.45

Value table partitions 23 23 23.00 23.00 1,150 MAX VALUE 156.78 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	938	MAX VALUE	325.09	0.00	0.00	0.00
Coarse blocks size	2	23	16.76	17.00	361,582	MAX VALUE	60,443.70	2.87	0.17	2.41
Relational linkage	0.09	0.70	0.46	0.48	524.61	0.00	-931.00	0.09	0.21	2.19
Tightness	0.23	0.66	0.27	0.23	127.24	0.00	-630.20	0.09	0.32	1.16
Tuples	181	408	385.48	408.00	180,791	MAX VALUE	2,788.66	45.93	0.12	1.16
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	26	18.76	19.00	938	MAX VALUE	145.91	3.03	0.16	2.45
Value table partitions	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00

Tree decomposition

Number of clusters: 15
Number of leaves: 9
Tree depth: 3
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Tree1.json

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

Cluster constraints 38 260 113.87 70.00 1,708 2.83e+29 67.82 78.40 0.69 2.71

Variables per cluster 13 36 21.93 18.00 329 5.06e+19 45.37 8.13 0.37 2.30

Separator constraints 0 245 82.60 48.00 1,239 0 None 71.71 0.87 2.71

Separator variables 0 35 18.60 16.00 279 0 None 8.75 0.47 2.43

Clusters per var 1 12 6.58 8.00 329 2.71e+35 81.59 3.34 0.51 2.17

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	38	260	113.87	70.00	1,708	2.83e+29	67.82	78.40	0.69	2.71
Variables per cluster	13	36	21.93	18.00	329	5.06e+19	45.37	8.13	0.37	2.30
Separator constraints	0	245	82.60	48.00	1,239	0	None	71.71	0.87	2.71
Separator variables	0	35	18.60	16.00	279	0	None	8.75	0.47	2.43
Clusters per var	1	12	6.58	8.00	329	2.71e+35	81.59	3.34	0.51	2.17

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 64
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/DualTree1.json

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

Cluster constraints 185 2,831 708.85 460.00 34,025 MAX VALUE 302.31 605.22 0.85 3.81

Variables per cluster 27 267 73.19 47.50 3,513 MAX VALUE 195.38 57.75 0.79 3.46

Separator constraints 0 1,640 530.54 402.50 25,466 0 None 362.99 0.68 3.81

Separator variables 0 208 63.42 44.50 3,044 0 None 44.43 0.70 3.49

Clusters per variable 1 10 7.49 8.00 3,513 MAX VALUE 895.60 2.48 0.33 1.95

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	185	2,831	708.85	460.00	34,025	MAX VALUE	302.31	605.22	0.85	3.81
Variables per cluster	27	267	73.19	47.50	3,513	MAX VALUE	195.38	57.75	0.79	3.46
Separator constraints	0	1,640	530.54	402.50	25,466	0	None	362.99	0.68	3.81
Separator variables	0	208	63.42	44.50	3,044	0	None	44.43	0.70	3.49
Clusters per variable	1	10	7.49	8.00	3,513	MAX VALUE	895.60	2.48	0.33	1.95

Primal graph

Density: 38.29%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,065
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Primal1.json

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

Clustering coefficient 0.29 0.45 0.38 0.38 18.79 0.00 -49.09 0.03 0.08 3.75

Degree 12 26 18.76 19.00 938 MAX VALUE 145.91 3.03 0.16 2.45

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 0.00 0.00 0.00

MCB cycle size 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	0.29	0.45	0.38	0.38	18.79	0.00	-49.09	0.03	0.08	3.75
Degree	12	26	18.76	19.00	938	MAX VALUE	145.91	3.03	0.16	2.45
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 74.20%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,170

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

Clustering coefficient 0.79 1.00 0.90 0.88 44.76 0.00 -5.65 0.06 0.07 3.46

Degree 12 46 36.36 42.00 1,818 MAX VALUE 176.28 10.86 0.30 2.54

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 0.00 0.00 0.00

MCB cycle size 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	0.79	1.00	0.90	0.88	44.76	0.00	-5.65	0.06	0.07	3.46
Degree	12	46	36.36	42.00	1,818	MAX VALUE	176.28	10.86	0.30	2.54
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 7.80%
MCB compute time (ms): 50,740
MCB cycles: 9,010
Triangles: 51,666
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Dual1.json

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

Clustering coefficient 0.49 0.57 0.50 0.50 236.27 0.00 -321.67 0.01 0.02 5.02

Degree 26 48 36.50 37.00 17,118 MAX VALUE 1,684.13 4.09 0.11 2.80

Eccentricity 3 3 3.00 3.00 1,407 MAX VALUE 515.25 0.00 0.00 0.00

MCB cycle size 3 4 3.03 3.00 27,336 MAX VALUE 9,986.53 0.18 0.06 0.15

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.57	0.50	0.50	236.27	0.00	-321.67	0.01	0.02	5.02
Degree	26	48	36.50	37.00	17,118	MAX VALUE	1,684.13	4.09	0.11	2.80
Eccentricity	3	3	3.00	3.00	1,407	MAX VALUE	515.25	0.00	0.00	0.00
MCB cycle size	3	4	3.03	3.00	27,336	MAX VALUE	9,986.53	0.18	0.06	0.15

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,269
MCB cycles: 420

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

Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 12.72 0.04

Degree 2 6 3.79 4.00 1,776 MAX VALUE 612.61 0.87 0.23 1.18

Eccentricity 7 10 8.09 8.00 3,795 MAX VALUE 979.21 0.62 0.08 0.94

MCB cycle size 3 10 6.83 7.00 2,868 MAX VALUE 799.03 1.24 0.18 1.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.10	0.00	0.00	0.23	0.00	None	0.01	12.72	0.04
Degree	2	6	3.79	4.00	1,776	MAX VALUE	612.61	0.87	0.23	1.18
Eccentricity	7	10	8.09	8.00	3,795	MAX VALUE	979.21	0.62	0.08	0.94
MCB cycle size	3	10	6.83	7.00	2,868	MAX VALUE	799.03	1.24	0.18	1.58

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: 9.41%

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

Clustering coefficient 0.52 1.00 0.83 0.80 389.20 0.00 -93.84 0.14 0.16 3.81

Degree 2 158 44.06 8.00 20,662 MAX VALUE 1,263.20 56.69 1.29 3.51

Eccentricity 3 5 3.76 4.00 1,762 MAX VALUE 615.83 0.54 0.14 0.79

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.52	1.00	0.83	0.80	389.20	0.00	-93.84	0.14	0.16	3.81
Degree	2	158	44.06	8.00	20,662	MAX VALUE	1,263.20	56.69	1.29	3.51
Eccentricity	3	5	3.76	4.00	1,762	MAX VALUE	615.83	0.54	0.14	0.79

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,062
MCB cycles: 420
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-5-ext/Incidence1.json

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 26 3.61 2.00 1,876 MAX VALUE 470.99 5.03 1.39 0.55

Eccentricity 5 6 5.90 6.00 3,064 MAX VALUE 920.81 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,520 MAX VALUE 752.54 0.00 0.00 0.00

XCSP 2.1 Benchmarks