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

15 Seconds

Average Run Time

10 Minutes, 2 Seconds

Test Dependencies

OpenMPI + C/C++ Compiler Toolchain

Accolades

20k+ Downloads

Supported Platforms


Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page Views ***OpenBenchmarking.orgEventsAlgebraic Multi-Grid Benchmark Popularity Statisticspts/amg2020.032020.052020.072020.092020.112021.012021.032021.052021.072021.092021.112022.012022.032022.052022.072022.092022.112023.012023.032023.052023.072023.092023.112024.012024.032024.052024.072024.092024.114K8K12K16K20K
* 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 updated weekly as of 9 November 2024.

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 2,330 public results since 10 January 2021 with the latest data as of 6 November 2024.

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
20
8062506017 +/- 801074817
100th
9
6227790778 +/- 35113703
100th
5
5966481533 +/- 7190502
98th
17
4454792977 +/- 411539338
97th
5
4295199760 +/- 41056407
96th
20
4254051136 +/- 200318498
96th
7
4163476714 +/- 30522303
96th
11
4080990333 +/- 543502602
95th
4
3805841500 +/- 28037861
95th
13
3661048872 +/- 69090165
94th
3
3197611250
93rd
14
3176911820 +/- 10038433
93rd
21
3129521492 +/- 37072405
92nd
3
3100295222 +/- 2484531
92nd
8
3081358334 +/- 4937562
92nd
4
2976345000
91st
3
2934523250 +/- 83986278
91st
3
2751978867 +/- 104639021
90th
13
2371771308 +/- 23961740
90th
4
2347293400 +/- 2240800
89th
14
2340931881 +/- 19425062
89th
18
2313470685 +/- 25109827
88th
9
2281227371 +/- 13770211
86th
39
2078694926 +/- 88666899
85th
8
2060333542 +/- 13860997
85th
12
2051690935 +/- 103355351
85th
39
2006012444 +/- 24074437
83rd
5
1955465000 +/- 10517622
81st
34
1926811140 +/- 20513869
81st
30
1922412089 +/- 13820700
79th
4
1901728813 +/- 874625
79th
6
1898265875 +/- 12917094
79th
5
1889123467 +/- 8876157
79th
3
1885426556 +/- 61290540
78th
3
1832053667
77th
13
1827466282 +/- 16577048
77th
18
1825673741 +/- 31861207
77th
4
1791333000
76th
19
1769544348 +/- 227817578
76th
4
1756428167 +/- 2684966
Mid-Tier
75th
< 1711805667
75th
3
1692750000
75th
9
1686991185 +/- 38978069
75th
5
1674618933 +/- 17565603
74th
7
1667683607 +/- 18121518
74th
6
1658642167 +/- 13757287
74th
19
1651081596 +/- 101992233
73rd
4
1615399750 +/- 9676909
73rd
16
1610420021 +/- 6213893
72nd
4
1599463667 +/- 1697795
72nd
3
1593214763 +/- 12854437
72nd
3
1591542111 +/- 9079603
71st
3
1573718583 +/- 10850144
71st
3
1541901267 +/- 1356311
71st
3
1532822630 +/- 48955518
70th
14
1445737090 +/- 7125391
69th
22
1395595856 +/- 178746938
69th
3
1354105667
68th
6
1226897182 +/- 87678589
68th
8
1152834667 +/- 1941482
67th
8
1150494125 +/- 2271037
66th
6
1071124667 +/- 2856167
65th
3
1068506889 +/- 1213398
65th
19
1059482456 +/- 2931149
64th
22
1055753318 +/- 1360749
63rd
6
1043100667 +/- 1738355
63rd
29
1041520127 +/- 103331528
63rd
6
1035442708 +/- 2109099
62nd
4
1024661834 +/- 800015
61st
33
1013650660 +/- 7013499
60th
21
983752654 +/- 97252359
59th
3
925721753 +/- 3799415
59th
4
923559988 +/- 3137451
58th
5
912681524 +/- 1630288
58th
5
912271088 +/- 6123296
58th
14
900547436 +/- 131805982
58th
4
893810269 +/- 3122871
58th
5
886573757 +/- 6347207
58th
5
886304293 +/- 7265165
58th
4
884772600 +/- 28439843
57th
9
871440575 +/- 10980543
57th
5
857923043 +/- 2302352
56th
3
841734822 +/- 11904838
56th
5
789214057 +/- 2117962
56th
7
788813800 +/- 3032651
55th
7
785101715 +/- 96985693
55th
4
776464681 +/- 4270427
54th
5
774614677 +/- 692906
54th
3
774298500
54th
3
773379211 +/- 4459587
54th
3
773162989 +/- 1523877
53rd
7
739766613 +/- 70412636
53rd
12
726813203 +/- 82320421
53rd
4
724842367 +/- 63383245
53rd
3
696206914 +/- 2006432
53rd
5
696205360 +/- 14458194
52nd
3
692338967 +/- 2328970
51st
3
595098978 +/- 5763872
51st
8
591609712 +/- 62439465
51st
13
577632687 +/- 13284321
Median
50th
567903500
50th
4
554862500 +/- 193303
48th
34
485437095 +/- 24632255
48th
7
467582571 +/- 31575021
48th
5
458771061 +/- 2047592
47th
5
456856282 +/- 2449945
47th
4
454205625 +/- 2143539
46th
5
450276393 +/- 804835
46th
4
450247615 +/- 19189704
46th
3
447645786
46th
16
444150617 +/- 17152032
45th
3
433644181 +/- 3444474
43rd
8
421386696 +/- 13156199
43rd
4
413356700 +/- 1874057
42nd
19
407755905 +/- 27525562
42nd
4
406450667 +/- 1312887
42nd
4
404794220
41st
12
394799253 +/- 22063221
41st
10
393335117 +/- 26797084
41st
22
393301404 +/- 27155922
41st
14
392986900 +/- 39994978
41st
15
391662358 +/- 31643941
41st
10
387983100 +/- 14704220
39th
4
376904534 +/- 1198020
38th
19
374766262 +/- 15149367
38th
7
373618643 +/- 6351894
38th
15
373335356 +/- 14752112
37th
8
366725106 +/- 54258227
37th
14
366316733 +/- 16874437
35th
3
350297633
34th
4
345373517 +/- 1616034
34th
4
342263538 +/- 28246425
34th
3
333448456 +/- 176310
33rd
3
308020200 +/- 631319
33rd
4
306695325 +/- 1548785
33rd
4
305806100 +/- 25865
32nd
3
303879044 +/- 1144788
32nd
4
302273333 +/- 3220019
32nd
3
294171700 +/- 428397
31st
10
285776585 +/- 26053001
31st
3
282955475 +/- 7057385
30th
3
275865733 +/- 148574
30th
4
273494250 +/- 1950922
29th
14
270465419 +/- 21106004
28th
3
265420089 +/- 666649
28th
10
260376920 +/- 14780585
27th
4
259336075 +/- 20258688
27th
4
258903583 +/- 419646
27th
4
254573129 +/- 7003656
26th
6
250416592 +/- 20415434
26th
5
249710025 +/- 26777749
26th
4
249503500 +/- 791478
Low-Tier
25th
< 248229400
25th
4
246553900 +/- 716069
25th
3
243082778 +/- 266992
24th
12
240743986 +/- 5554041
24th
24
240333648 +/- 29618264
24th
24
238727821 +/- 10298232
24th
3
238007622 +/- 162996
24th
4
237986767 +/- 418006
23rd
3
237654867 +/- 751457
22nd
3
235333311 +/- 2079203
22nd
4
233163734 +/- 813752
21st
41
231005706 +/- 18313780
21st
4
229241400 +/- 14297992
21st
3
229130778 +/- 2743104
21st
6
228039844 +/- 3571727
21st
3
227477644 +/- 679877
20th
5
226168327 +/- 1992356
20th
3
223806567 +/- 721385
19th
8
222757938 +/- 27025525
19th
4
220614875 +/- 2185702
19th
8
220546108 +/- 28283302
19th
6
220091603 +/- 4751741
19th
5
219070386 +/- 1261759
18th
7
216598900 +/- 2523539
18th
9
216473059 +/- 13476639
16th
3
209472389 +/- 3603515
16th
3
207741622 +/- 440764
16th
3
207595755 +/- 322435
15th
3
204743878 +/- 442892
15th
7
203672024 +/- 5710117
15th
4
203569750 +/- 434216
14th
3
197562133 +/- 381888
13th
5
192786180 +/- 220110
13th
10
191352370 +/- 983967
13th
3
190316985 +/- 7464124
12th
3
187221278 +/- 241355
12th
3
186625533 +/- 406872
12th
3
183000056 +/- 50045
11th
4
180621467 +/- 59054
11th
3
178855800 +/- 428648
11th
3
178081322 +/- 6298317
11th
3
173357211 +/- 42333
10th
4
168347308 +/- 1333772
10th
5
167142723 +/- 2465353
10th
3
166479222 +/- 5596840
9th
3
162782978 +/- 124829
9th
3
160379011 +/- 969099
9th
4
160221900 +/- 11434883
9th
3
155193500 +/- 61037
8th
3
151527800 +/- 547494
8th
4
146144883 +/- 129452
8th
3
144264567 +/- 1074092
8th
3
143393233 +/- 1287809
7th
3
137379311 +/- 65128
7th
3
136876555 +/- 1522236
7th
4
128697217 +/- 2922758
7th
3
126149344 +/- 210413
6th
6
122313606 +/- 124729
6th
3
121560567 +/- 195209
6th
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
38286830 +/- 282075
2nd
3
31463729 +/- 361162
2nd
5
19685122 +/- 1098490
OpenBenchmarking.orgDistribution Of Public Results2307 Results Range From 5399313 To 8606553000 Figure Of Merit5399313177422387349445461521468535693491609865514683103753775712095608311381583905155360697917256300531897653127206967620122416992752413722349258574542327577684972929791571310181464532738377193445860793361788386737899069413961930015413395308943059761634477999237465002231148220453854994068459516609153353381146075510137681568216075558541838296026206903619822997763702530516542276125671429919968863222737058345347723036842174023914957574414569774643764379184607178090483791826250686584345299398606553013120240360480600

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-Time816243240Min: 1 / Avg: 1.68 / Max: 40

Based on public OpenBenchmarking.org results, the selected test / test configuration has an average standard deviation of 0.2%.

OpenBenchmarking.orgPercent, Fewer Is BetterAverage Deviation Between RunsDeviation246810Min: 0 / Avg: 0.17 / Max: 4

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 Scaling4681012141618242832486496128192612182430

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)
RISC-V 64-bit
riscv64
Spacemit X60
IBM POWER (PowerPC) 64-bit
ppc64le
POWER9 4-Core
Loongson LoongArch 64-bit
loongarch64
Loongson-3A5000, Loongson-3A5000-HV, Loongson-3A5000LL, Loongson-3A6000, Loongson-3C5000L
Intel / AMD x86 32-bit
i686
(Many Processors)
ARMv8 64-bit
aarch64
ARMv8 8-Core, ARMv8 Cortex-A55 4-Core, ARMv8 Cortex-A57 8-Core, ARMv8 Cortex-A72, ARMv8 Cortex-A72 4-Core, ARMv8 Cortex-A76 4-Core, ARMv8 Neoverse-N1, ARMv8 Neoverse-N1 128-Core, ARMv8 Neoverse-N1 80-Core, ARMv8 Neoverse-V1, ARMv8 Neoverse-V1 64-Core, ARMv8 Neoverse-V2, ARMv8 Neoverse-V2 72-Core, 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, AmpereOne 128-Core, AmpereOne 160-Core, AmpereOne 192-Core, AmpereOne 32-Core, AmpereOne 64-Core, AmpereOne 72-Core, AmpereOne 96-Core, Apple M1, Apple M1 Pro, Apple M2, Rockchip ARMv8 Cortex-A72 6-Core, Rockchip ARMv8 Cortex-A76 8-Core

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