XCSP 2.1 Benchmark Database

Instance: normalized-fpga-15-13-ext
Number of variables: 293
Number of constraints: 236
Satisfiable: True
Timestamp: 2025-07-20 22:08:48
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 293
Number of constraints: 236

General features

Coarse blocks: 23,050
Value tables: 308

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

Arity 7 15 8.29 8.00 1,957 MAX VALUE 493.25 2.15 0.26 1.06

Coarse blocks size 1 16,384 291.73 2.00 6,724,270 MAX VALUE 30,967.50 2,111.37 7.24 0.83

Relational linkage 0.00 1.00 0.72 1.00 1,474.35 0.00 -3,448.76 0.44 0.62 1.08

Tightness 0.00 1.00 0.12 0.01 28.47 0.00 -1,154.06 0.31 2.61 1.26

Tuples 8 32,767 1,967.67 127.00 464,369 MAX VALUE 1,219.72 7,436.83 3.78 1.26

Values 2 2 2.00 2.00 586 MAX VALUE 203.09 0.00 0.00 0.00

Value table constraints 3 14 6.99 3.00 2,152 MAX VALUE 511.33 5.24 0.75 0.80

Value table partitions 2 128 6.68 2.00 2,058 MAX VALUE 271.02 21.86 3.27 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	15	8.29	8.00	1,957	MAX VALUE	493.25	2.15	0.26	1.06
Coarse blocks size	1	16,384	291.73	2.00	6,724,270	MAX VALUE	30,967.50	2,111.37	7.24	0.83
Relational linkage	0.00	1.00	0.72	1.00	1,474.35	0.00	-3,448.76	0.44	0.62	1.08
Tightness	0.00	1.00	0.12	0.01	28.47	0.00	-1,154.06	0.31	2.61	1.26
Tuples	8	32,767	1,967.67	127.00	464,369	MAX VALUE	1,219.72	7,436.83	3.78	1.26
Values	2	2	2.00	2.00	586	MAX VALUE	203.09	0.00	0.00	0.00
Value table constraints	3	14	6.99	3.00	2,152	MAX VALUE	511.33	5.24	0.75	0.80
Value table partitions	2	128	6.68	2.00	2,058	MAX VALUE	271.02	21.86	3.27	0.23

Tree decomposition

Number of clusters: 39
Number of leaves: 15
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 48
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Tree1.json

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

Cluster constraints 0 24 7.90 2.00 308 0 None 7.37 0.93 1.42

Variables per cluster 25 139 52.13 38.00 2,033 MAX VALUE 147.78 33.78 0.65 2.44

Separator constraints 0 22 1.85 0.00 72 0 None 4.29 2.32 1.24

Separator variables 0 105 44.62 37.00 1,740 0 None 25.34 0.57 2.44

Clusters per var 1 10 6.94 7.00 2,033 MAX VALUE 537.60 2.30 0.33 1.99

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	24	7.90	2.00	308	0	None	7.37	0.93	1.42
Variables per cluster	25	139	52.13	38.00	2,033	MAX VALUE	147.78	33.78	0.65	2.44
Separator constraints	0	22	1.85	0.00	72	0	None	4.29	2.32	1.24
Separator variables	0	105	44.62	37.00	1,740	0	None	25.34	0.57	2.44
Clusters per var	1	10	6.94	7.00	2,033	MAX VALUE	537.60	2.30	0.33	1.99

Dual tree decomposition

Number of clusters: 195
Number of leaves: 15
Tree depth: 19
CIR: 0.01
Independent Cluster Pairs: 140
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/DualTree1.json

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

Cluster constraints 21 184 88.73 85.00 17,303 MAX VALUE 838.48 49.32 0.56 3.26

Variables per cluster 21 22 21.53 22.00 4,199 MAX VALUE 598.52 0.50 0.02 0.69

Separator constraints 0 163 73.20 70.00 14,274 0 None 47.04 0.64 3.20

Separator variables 0 21 20.32 20.00 3,963 0 None 1.65 0.08 0.87

Clusters per variable 1 182 17.79 8.00 4,199 MAX VALUE 494.47 32.18 1.81 2.86

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	21	184	88.73	85.00	17,303	MAX VALUE	838.48	49.32	0.56	3.26
Variables per cluster	21	22	21.53	22.00	4,199	MAX VALUE	598.52	0.50	0.02	0.69
Separator constraints	0	163	73.20	70.00	14,274	0	None	47.04	0.64	3.20
Separator variables	0	21	20.32	20.00	3,963	0	None	1.65	0.08	0.87
Clusters per variable	1	182	17.79	8.00	4,199	MAX VALUE	494.47	32.18	1.81	2.86

Primal graph

Density: 10.29%
MCB compute time (ms): 9,136
MCB cycles: 4,112
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Primal1.json

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

Clustering coefficient 0.49 0.61 0.53 0.50 155.02 0.00 -187.76 0.05 0.09 1.33

Degree 24 33 30.06 32.00 8,808 MAX VALUE 994.95 3.56 0.12 1.33

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.06 3.00 12,589 MAX VALUE 4,590.28 0.24 0.08 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.61	0.53	0.50	155.02	0.00	-187.76	0.05	0.09	1.33
Degree	24	33	30.06	32.00	8,808	MAX VALUE	994.95	3.56	0.12	1.33
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.06	3.00	12,589	MAX VALUE	4,590.28	0.24	0.08	0.23

Triangulated primal graph

Density: 55.54%
MCB compute time (ms): 240,160
MCB cycles: 30,196
Triangles: None

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

Clustering coefficient 0.69 1.00 0.85 0.86 248.51 0.00 -49.81 0.09 0.10 3.91

Degree 24 250 162.19 172.00 47,522 MAX VALUE 1,453.98 62.96 0.39 3.59

Eccentricity None None None None None None None None None None

MCB cycle size 3 3 3.00 3.00 90,588 MAX VALUE 33,173.70 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.69	1.00	0.85	0.86	248.51	0.00	-49.81	0.09	0.10	3.91
Degree	24	250	162.19	172.00	47,522	MAX VALUE	1,453.98	62.96	0.39	3.59
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	90,588	MAX VALUE	33,173.70	0.00	0.00	0.00

Dual graph

Density: 10.92%
MCB compute time (ms): 708
MCB cycles: 2,794
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Dual1.json

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

Clustering coefficient 0.03 0.79 0.68 0.78 159.31 0.00 -137.26 0.24 0.36 1.26

Degree 20 104 25.67 21.00 6,058 MAX VALUE 741.90 17.71 0.69 1.26

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.09 3.00 8,635 MAX VALUE 3,142.31 0.29 0.09 0.30

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.03	0.79	0.68	0.78	159.31	0.00	-137.26	0.24	0.36	1.26
Degree	20	104	25.67	21.00	6,058	MAX VALUE	741.90	17.71	0.69	1.26
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.09	3.00	8,635	MAX VALUE	3,142.31	0.29	0.09	0.30

Minimal dual graph

Density: 2.41%
MCB compute time (ms): 94
MCB cycles: 433

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

Clustering coefficient 0.00 0.33 0.23 0.20 54.91 0.00 None 0.11 0.47 1.37

Degree 4 15 5.66 4.00 1,336 MAX VALUE 383.18 3.35 0.59 1.17

Eccentricity None None None None None None None None None None

MCB cycle size 3 6 4.42 4.00 1,914 MAX VALUE 621.87 1.38 0.31 1.03

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.23	0.20	54.91	0.00	None	0.11	0.47	1.37
Degree	4	15	5.66	4.00	1,336	MAX VALUE	383.18	3.35	0.59	1.17
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	6	4.42	4.00	1,914	MAX VALUE	621.87	1.38	0.31	1.03

Triangulated dual graph

Density: 16.52%
Triangles: 43,670

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

Clustering coefficient 0.17 1.00 0.86 0.92 202.10 0.00 -49.70 0.21 0.24 3.43

Degree 20 222 38.81 28.00 9,160 MAX VALUE 815.85 36.25 0.93 2.93

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	0.17	1.00	0.86	0.92	202.10	0.00	-49.70	0.21	0.24	3.43
Degree	20	222	38.81	28.00	9,160	MAX VALUE	815.85	36.25	0.93	2.93
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 7.36%

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

Clustering coefficient 0.22 1.00 0.81 0.87 190.59 0.00 -59.51 0.19 0.24 2.80

Degree 4 99 17.31 8.00 4,084 MAX VALUE 546.45 20.57 1.19 2.71

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	0.22	1.00	0.81	0.87	190.59	0.00	-59.51	0.19	0.24	2.80
Degree	4	99	17.31	8.00	4,084	MAX VALUE	546.45	20.57	1.19	2.71
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 1.40%
MCB compute time (ms): 615
MCB cycles: 1,429
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-15-13-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 3 15 7.40 7.00 3,914 MAX VALUE 966.11 4.20 0.57 1.51

Eccentricity None None None None None None None None None None

MCB cycle size 4 8 4.96 4.00 7,088 MAX VALUE 2,229.36 1.55 0.31 0.82

XCSP 2.1 Benchmarks