Algebraic Multi-Grid Benchmark

AMG is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. The driver provided with AMG builds linear systems for various 3-dimensional problems.

To run this test with the Phoronix Test Suite, the basic command is: phoronix-test-suite benchmark amg.

Project Site

github.com

Test Created

4 March 2020

Last Updated

10 January 2021

Test Maintainer

Michael Larabel 

Test Type

Processor

Average Install Time

17 Seconds

Average Run Time

10 Minutes, 2 Seconds

Test Dependencies

OpenMPI + C/C++ Compiler Toolchain

Accolades

10k+ Downloads

Supported Platforms


Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page Views ***OpenBenchmarking.orgEventsAlgebraic Multi-Grid Benchmark Popularity Statisticspts/amg2020.032020.042020.052020.062020.072020.082020.092020.102020.112020.122021.012021.022021.032021.042021.052021.062021.072021.082021.092021.102021.112021.122022.012022.022022.032022.042022.052022.062022.072022.082022.092022.102022.112K4K6K8K10K
* Uploading of benchmark result data to OpenBenchmarking.org is always optional (opt-in) via the Phoronix Test Suite for users wishing to share their results publicly.
** Data based on those opting to upload their test results to OpenBenchmarking.org and users enabling the opt-in anonymous statistics reporting while running benchmarks from an Internet-connected platform.
*** Test profile page view reporting began March 2021.
Data current as of 22 November 2022.

Revision History

pts/amg-1.1.0   [View Source]   Sun, 10 Jan 2021 17:31:12 GMT
Increase load for AMG to work better on current CPus.

pts/amg-1.0.1   [View Source]   Wed, 04 Mar 2020 17:09:19 GMT
Correct Environment Size.

pts/amg-1.0.0   [View Source]   Wed, 04 Mar 2020 16:11:57 GMT
Initial commit of AMG benchmark.

Suites Using This Test

HPC - High Performance Computing

Scientific Computing

Linear Algebra

Programmer / Developer System Benchmarks


Performance Metrics

Analyze Test Configuration:

Algebraic Multi-Grid Benchmark 1.2

OpenBenchmarking.org metrics for this test profile configuration based on 1,332 public results since 10 January 2021 with the latest data as of 23 November 2022.

Below is an overview of the generalized performance for components where there is sufficient statistically significant data based upon user-uploaded results. It is important to keep in mind particularly in the Linux/open-source space there can be vastly different OS configurations, with this overview intended to offer just general guidance as to the performance expectations.

Component
Percentile Rank
# Compatible Public Results
Figure Of Merit (Average)
100th
8
4386536500 +/- 30175754
100th
4
4302695600 +/- 43277252
100th
8
4269128333 +/- 11129827
100th
8
2354442834 +/- 1136217
99th
4
2347293400 +/- 2240800
99th
8
2337713333 +/- 4578720
97th
32
2091248785 +/- 42863543
96th
7
2059364714 +/- 14676101
94th
36
2007180593 +/- 24677285
92nd
5
1955465000 +/- 10517622
90th
33
1926714873 +/- 20834537
89th
29
1922591425 +/- 14050736
86th
4
1901728813 +/- 874625
86th
6
1898265875 +/- 12917094
86th
4
1892512750 +/- 5335410
85th
3
1885426556 +/- 61290540
84th
19
1769544348 +/- 227817578
83rd
5
1674618933 +/- 17565603
82nd
7
1667683607 +/- 18121518
82nd
6
1658642167 +/- 13757287
82nd
9
1629541778 +/- 143975884
81st
3
1593214763 +/- 12854437
81st
3
1532822630 +/- 48955518
78th
14
1445737090 +/- 7125391
78th
19
1379815939 +/- 188010789
76th
6
1226897182 +/- 87678589
Mid-Tier
75th
< 1084411667
74th
6
1071124667 +/- 2856167
73rd
21
1055691540 +/- 1362371
72nd
6
1043100667 +/- 1738355
71st
6
1035442708 +/- 2109099
71st
24
1033812250 +/- 112417081
70th
4
1024661834 +/- 800015
69th
28
1015012201 +/- 6199838
66th
20
982227586 +/- 99520846
65th
3
925721753 +/- 3799415
65th
4
923559988 +/- 3137451
64th
5
912681524 +/- 1630288
64th
5
912271088 +/- 6123296
64th
14
900547436 +/- 131805982
63rd
4
893810269 +/- 3122871
63rd
5
886573757 +/- 6347207
63rd
5
886304293 +/- 7265165
62nd
9
871440575 +/- 10980543
62nd
5
857923043 +/- 2302352
61st
3
841734822 +/- 11904838
60th
5
789214057 +/- 2117962
60th
7
785101715 +/- 96985693
60th
5
780803219 +/- 5240864
59th
4
776464681 +/- 4270427
59th
5
774614677 +/- 692906
58th
3
773379211 +/- 4459587
58th
3
773162989 +/- 1523877
57th
12
726813203 +/- 82320421
56th
3
696206914 +/- 2006432
56th
3
692338967 +/- 2328970
55th
3
595098978 +/- 5763872
54th
13
577632687 +/- 13284321
53rd
4
554862500 +/- 193303
53rd
7
467582571 +/- 31575021
52nd
5
458771061 +/- 2047592
52nd
5
456856282 +/- 2449945
52nd
8
456224559 +/- 7111425
51st
4
454205625 +/- 2143539
Median
50th
453791600
50th
5
450276393 +/- 804835
50th
4
450247615 +/- 19189704
49th
3
433644181 +/- 3444474
49th
7
423369114 +/- 4663009
47th
8
417703509 +/- 15435069
47th
4
413356700 +/- 1874057
47th
4
406450667 +/- 1312887
46th
3
388338433 +/- 292900
45th
8
386200100 +/- 1572943
45th
5
385072436 +/- 84935
44th
4
376904534 +/- 1198020
44th
6
373200289 +/- 6851693
44th
8
366725106 +/- 54258227
43rd
3
337555800 +/- 32616162
43rd
3
333448456 +/- 176310
42nd
4
305806100 +/- 25865
41st
3
303879044 +/- 1144788
41st
4
302273333 +/- 3220019
40th
3
294171700 +/- 428397
40th
9
286747338 +/- 27440884
39th
3
282955475 +/- 7057385
38th
3
275865733 +/- 148574
38th
4
273494250 +/- 1950922
38th
14
270465419 +/- 21106004
37th
3
265420089 +/- 666649
35th
4
258903583 +/- 419646
35th
12
258881527 +/- 1460300
34th
4
254573129 +/- 7003656
34th
6
250416592 +/- 20415434
33rd
4
249503500 +/- 791478
33rd
4
246553900 +/- 716069
32nd
3
243082778 +/- 266992
32nd
21
239792729 +/- 30405281
32nd
3
238986489 +/- 1436438
31st
3
238007622 +/- 162996
31st
4
237986767 +/- 418006
31st
3
237654867 +/- 751457
29th
3
236390389 +/- 24667
29th
16
235788385 +/- 1443786
29th
3
235333311 +/- 2079203
28th
10
233677305 +/- 16761887
27th
4
233163734 +/- 813752
26th
3
229130778 +/- 2743104
26th
33
227499022 +/- 33569626
26th
5
227411253 +/- 3603206
Low-Tier
25th
< 225808067
25th
4
225793559 +/- 2087175
25th
32
224457135 +/- 13205381
25th
3
223806567 +/- 721385
24th
4
220614875 +/- 2185702
24th
8
220546108 +/- 28283302
24th
6
220091603 +/- 4751741
23rd
5
219070386 +/- 1261759
23rd
7
216598900 +/- 2523539
23rd
9
216473059 +/- 13476639
19th
3
209472389 +/- 3603515
19th
3
207741622 +/- 440764
19th
3
207690800 +/- 1175834
19th
3
207595755 +/- 322435
17th
3
204743878 +/- 442892
17th
4
203569750 +/- 434216
17th
6
203151184 +/- 6070240
16th
3
197562133 +/- 381888
16th
4
197561633 +/- 312461
15th
3
190316985 +/- 7464124
15th
3
187221278 +/- 241355
14th
3
186625533 +/- 406872
14th
3
183000056 +/- 50045
13th
3
181296100 +/- 1180941
13th
4
180621467 +/- 59054
12th
3
178855800 +/- 428648
12th
3
178081322 +/- 6298317
12th
3
173357211 +/- 42333
11th
3
166479222 +/- 5596840
11th
3
162782978 +/- 124829
10th
3
160379011 +/- 969099
10th
4
160221900 +/- 11434883
10th
3
155193500 +/- 61037
9th
3
151527800 +/- 547494
9th
4
146144883 +/- 129452
9th
3
143393233 +/- 1287809
8th
3
137379311 +/- 65128
8th
3
136876555 +/- 1522236
8th
4
128697217 +/- 2922758
8th
3
126149344 +/- 210413
7th
6
122313606 +/- 124729
7th
3
121560567 +/- 195209
7th
4
118692142 +/- 1767314
5th
3
106164178 +/- 62573
5th
4
104880309 +/- 18136
5th
7
104520074 +/- 8126615
4th
3
82450690 +/- 1173959
3rd
3
74935941 +/- 59160
2nd
3
19946780 +/- 48317
OpenBenchmarking.orgDistribution Of Public Results1331 Results Range From 11598791 To 4414763333 Figure Of Merit115987919966208218772537327578866436385195545191524653997853762804182871610511980416841089223170198029499210683582831156421574124448486513325481561420611447150867473815967380291684801320177286461118609279021948991193203705448421251177752213181066230124435723893076482477370939256543423026534975212741560812282962410329176873943005750685309381397631818772673269940558335800384934460671403534130431362219372237102570133798320304388638359539744468864062510177415057346842386367594326700050441476334170140210280350

Based on OpenBenchmarking.org data, the selected test / test configuration (Algebraic Multi-Grid Benchmark 1.2) has an average run-time of 2 minutes. By default this test profile is set to run at least 3 times but may increase if the standard deviation exceeds pre-defined defaults or other calculations deem additional runs necessary for greater statistical accuracy of the result.

OpenBenchmarking.orgMinutesTime Required To Complete BenchmarkRun-Time1122334455Min: 1 / Avg: 1.63 / Max: 56

Based on public OpenBenchmarking.org results, the selected test / test configuration has an average standard deviation of 0.1%.

OpenBenchmarking.orgPercent, Fewer Is BetterAverage Deviation Between RunsDeviation246810Min: 0 / Avg: 0.13 / Max: 3

Does It Scale Well With Increasing Cores?

Yes, based on the automated analysis of the collected public benchmark data, this test / test settings does generally scale well with increasing CPU core counts. Data based on publicly available results for this test / test settings, separated by vendor, result divided by the reference CPU clock speed, grouped by matching physical CPU core count, and normalized against the smallest core count tested from each vendor for each CPU having a sufficient number of test samples and statistically significant data.

AMDIntelOpenBenchmarking.orgRelative Core Scaling To BaseAlgebraic Multi-Grid Benchmark CPU Core Scaling468101216182432486412848121620

Notable Instruction Set Usage

Notable instruction set extensions supported by this test, based on an automatic analysis by the Phoronix Test Suite / OpenBenchmarking.org analytics engine.

Instruction Set
Support
Instructions Detected
SSE2 (SSE2)
Used by default on supported hardware.
 
MOVAPD DIVSD CVTSI2SD MULSD ADDSD SUBSD COMISD CVTTSD2SI UCOMISD XORPD SQRTSD ANDPD MAXSD MINSD CMPLTSD ANDNPD ORPD
Last automated analysis: 17 January 2022

This test profile binary relies on the shared libraries libm.so.6, libmpi.so.40, libgomp.so.1, libc.so.6, libopen-rte.so.40, libopen-pal.so.40, libhwloc.so.15, libz.so.1, libudev.so.1.

Tested CPU Architectures

This benchmark has been successfully tested on the below mentioned architectures. The CPU architectures listed is where successful OpenBenchmarking.org result uploads occurred, namely for helping to determine if a given test is compatible with various alternative CPU architectures.

CPU Architecture
Kernel Identifier
Verified On
Intel / AMD x86 64-bit
x86_64
(Many Processors)
IBM POWER (PowerPC) 64-bit
ppc64le
POWER9 4-Core
Loongson LoongArch 64-bit
loongarch64
Loongson-3A5000LL, Loongson-3C5000L
Intel / AMD x86 32-bit
i686
(Many Processors)
ARMv8 64-bit
aarch64
ARMv8 Cortex-A57 8-Core, ARMv8 Cortex-A72, ARMv8 Cortex-A72 4-Core, ARMv8 Neoverse-N1, ARMv8 Neoverse-N1 80-Core, ARMv8 Neoverse-V1, Ampere ARMv8 Neoverse-N1 128-Core, Ampere ARMv8 Neoverse-N1 160-Core, Ampere ARMv8 Neoverse-N1 256-Core, Ampere Altra ARMv8 Neoverse-N1 160-Core, Ampere Altra ARMv8 Neoverse-N1 80-Core, Ampere eMAG ARMv8 32-Core, Apple M1, Apple M2

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