XCSP 2.1 Benchmarks

Coarse blocks: 280,018
Value tables: 579

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	7	7.00	7.00	392	MAX VALUE	108.97	0.00	0.00	0.00
Coarse blocks size	1	11,426	266.28	69.00	74,563,800	MAX VALUE	1,200,140.00	712.17	2.67	5.59
Relational linkage	0.01	1.00	0.44	0.45	54,884.00	0.00	-109,753.00	0.12	0.27	4.75
Tightness	0.42	0.55	0.49	0.49	27.47	0.00	-40.03	0.03	0.07	4.00
Tuples	35,101	45,594	39,805.20	39,492.50	2,229,090	MAX VALUE	593.02	2,622.44	0.07	4.00
Values	5	5	5.00	5.00	125	2.98e+17	40.24	0.00	0.00	0.00
Value table constraints	2	23	3.23	2.00	1,871	MAX VALUE	580.08	2.78	0.86	1.38
Value table partitions	5	15,238	224.68	125.00	130,088	MAX VALUE	2,584.73	722.39	3.22	1.21

Number of clusters: 3
Number of leaves: 2
Tree depth: 1
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Tree1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	24	39	31.33	31.00	94	29,016	10.28	6.13	0.20	1.10
Variables per cluster	22	23	22.67	23.00	68	11,638	9.36	0.47	0.02	0.64
Separator constraints	0	26	12.67	12.00	38	0	None	10.62	0.84	1.10
Separator variables	0	22	14.33	21.00	43	0	None	10.14	0.71	1.10
Clusters per var	1	3	2.72	3.00	68	2.79e+10	24.05	0.60	0.22	0.64

Number of clusters: 5
Number of leaves: 2
Tree depth: 2
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/DualTree1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	976	1,254	1,188.80	1,252.00	5,944	2.32e+15	35.38	107.68	0.09	1.33
Variables per cluster	46	52	50.60	52.00	253	329,866,000	19.61	2.33	0.05	0.95
Separator constraints	0	1,204	899.60	1,160.00	4,498	0	None	461.04	0.51	1.61
Separator variables	0	51	39.40	50.00	197	0	None	19.83	0.50	1.33
Clusters per variable	1	5	4.52	5.00	253	4.29e+35	82.05	0.98	0.22	0.88

Density: 97.33%
MCB compute time (ms): 5
MCB cycles: 279
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Primal1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.97	0.99	0.98	0.97	24.38	0.53	-0.63	0.01	0.01	1.22
Degree	21	24	23.36	24.00	584	1.59e+34	78.75	0.97	0.04	1.04
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	837	MAX VALUE	306.51	0.00	0.00	0.00

Density: 98.67%
MCB compute time (ms): 5
MCB cycles: 293
Triangles: None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	24.69	0.74	-0.31	0.00	0.00	0.71
Degree	21	24	23.68	24.00	592	2.26e+34	79.10	0.73	0.03	0.69
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	879	MAX VALUE	321.89	0.00	0.00	0.00

Density: 93.90%
MCB compute time (ms): 51
MCB cycles: 1,391
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Dual1.json

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.93	0.95	0.94	0.94	52.61	0.03	-3.50	0.00	0.00	3.58
Degree	45	55	51.64	52.00	2,892	MAX VALUE	220.85	1.86	0.04	1.90
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	4,173	MAX VALUE	1,528.17	0.00	0.00	0.00

Density: 21.75%
MCB compute time (ms): 9
MCB cycles: 557

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.14	0.33	0.24	0.24	13.63	0.00	-79.97	0.04	0.17	3.30
Degree	8	15	11.96	12.00	670	MAX VALUE	138.51	1.53	0.13	1.82
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	5	3.52	4.00	1,963	MAX VALUE	695.74	0.51	0.14	0.72

Density: 98.90%
Triangles: 26,865

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.99	1.00	0.99	0.99	55.46	0.58	-0.54	0.00	0.00	1.01
Degree	45	55	54.39	55.00	3,046	MAX VALUE	223.76	1.58	0.03	0.90
Eccentricity	None	None	None	None	None	None	None	None	None	None

Density: 61.69%

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.73	1.00	0.86	0.84	48.43	0.00	-8.37	0.08	0.09	3.61
Degree	8	48	33.93	41.00	1,900	MAX VALUE	190.47	13.37	0.39	2.93
Eccentricity	None	None	None	None	None	None	None	None	None	None

Density: 12.10%
MCB compute time (ms): 16
MCB cycles: 369
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/dag-half/normalized-half-n25-d5-e56-r7-9/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	7	25	9.68	7.00	784	MAX VALUE	176.83	4.66	0.48	1.35
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	4	6	4.01	4.00	1,478	MAX VALUE	511.95	0.10	0.03	0.02