Homology Valence-only parallel computation
Sequential computation stopped ? 10 days
80 processors machine :
20 ultra sparc 450 with 4 ? 250MHz processors [U. Delaware]
Seconds
Tasks
Sequential
Parallel
Speed up
1
0,08
0,24
0,33
2
0,31
0,39
0,79
3
0.35
0.39
0.90
3
1.83
1.43
1.28
5
337.72
77.51
4.36
6
45.15
10.26
4.40
7
82.55
15.02
5.49
9
775.30
106.12
7.31
15
15.72
1.75
8.96
39
82.11
3.39
24.22
37
248.73
9.35
26.61
100
506.27
8,84
.
57.28
246
DNF
4.13 hours
-
1
0.08
0.24
0.33
2
0.31
0.39
0.79
4
34.48
11.38
3.03
8
2279.30
358.95
6.35
25
55.17
3.18
17.34
44
1160.65
34.61
33.53
82
397.72
8.16
48.74
358
66255.73
1 092.94
60.62
Matrix
ch4-4.b2
ch5-5.b3
ch6-6.b4
ch8-8.b6
ch7-7.b4
ch7-9.b3
ch7-9.b5
n3c6.b9
ch7-9.b3
n4c6.b13
n4c5.b7
n4c7.b6
mk9.b3
mk12.b4
ch9-9.b4
n2c6.b6
n4c6.b5
n4c5.b6
n4c6.b12
Integer Valence:
Valence mod primes in parallel
+ Chinese remaindering
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