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/amg2020.032020.052020.072020.092020.112021.012021.032021.052021.072021.092021.112022.012022.032022.052022.072022.092022.112023.012023.032023.052023.072023.092023.112024.012024.032024.052024.072024.094K8K12K16K20K
* 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 4 October 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 2,242 public results since 10 January 2021 with the latest data as of 4 October 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
16
8186821854 +/- 688180782
99th
17
4454792977 +/- 411539338
98th
5
4295199760 +/- 41056407
98th
6
4289754500 +/- 437357103
97th
20
4254051136 +/- 200318498
97th
7
4163476714 +/- 30522303
96th
4
3805841500 +/- 28037861
96th
13
3661048872 +/- 69090165
94th
21
3129521492 +/- 37072405
94th
3
3100295222 +/- 2484531
93rd
3
2934523250 +/- 83986278
93rd
3
2751978867 +/- 104639021
92nd
13
2371771308 +/- 23961740
91st
4
2347293400 +/- 2240800
91st
14
2340931881 +/- 19425062
91st
18
2313470685 +/- 25109827
90th
9
2281227371 +/- 13770211
88th
39
2078694926 +/- 88666899
87th
8
2060333542 +/- 13860997
87th
9
2006307654 +/- 43461621
87th
39
2006012444 +/- 24074437
85th
5
1955465000 +/- 10517622
83rd
34
1926811140 +/- 20513869
83rd
30
1922412089 +/- 13820700
81st
4
1901728813 +/- 874625
81st
6
1898265875 +/- 12917094
81st
5
1889123467 +/- 8876157
80th
3
1885426556 +/- 61290540
80th
3
1832053667
79th
13
1827466282 +/- 16577048
79th
17
1825521294 +/- 32835013
79th
4
1791333000
78th
19
1769544348 +/- 227817578
78th
4
1756428167 +/- 2684966
77th
3
1692750000
77th
9
1686991185 +/- 38978069
76th
5
1674618933 +/- 17565603
76th
7
1667683607 +/- 18121518
76th
6
1658642167 +/- 13757287
76th
19
1651081596 +/- 101992233
Mid-Tier
75th
< 1647212750
75th
4
1615399750 +/- 9676909
74th
16
1610420021 +/- 6213893
74th
4
1599463667 +/- 1697795
74th
3
1593214763 +/- 12854437
74th
3
1591542111 +/- 9079603
73rd
3
1573718583 +/- 10850144
73rd
3
1541901267 +/- 1356311
73rd
3
1532822630 +/- 48955518
71st
14
1445737090 +/- 7125391
71st
22
1395595856 +/- 178746938
71st
3
1354105667
69th
6
1226897182 +/- 87678589
69th
8
1152834667 +/- 1941482
69th
8
1150494125 +/- 2271037
67th
6
1071124667 +/- 2856167
67th
3
1068506889 +/- 1213398
66th
19
1059482456 +/- 2931149
66th
22
1055753318 +/- 1360749
65th
6
1043100667 +/- 1738355
65th
29
1041520127 +/- 103331528
64th
6
1035442708 +/- 2109099
64th
4
1024661834 +/- 800015
63rd
33
1013650660 +/- 7013499
61st
21
983752654 +/- 97252359
60th
3
925721753 +/- 3799415
60th
4
923559988 +/- 3137451
60th
5
912681524 +/- 1630288
60th
5
912271088 +/- 6123296
59th
14
900547436 +/- 131805982
59th
4
893810269 +/- 3122871
59th
5
886573757 +/- 6347207
59th
5
886304293 +/- 7265165
59th
4
884772600 +/- 28439843
58th
9
871440575 +/- 10980543
58th
5
857923043 +/- 2302352
58th
3
841734822 +/- 11904838
57th
5
789214057 +/- 2117962
57th
7
788813800 +/- 3032651
56th
7
785101715 +/- 96985693
56th
4
776464681 +/- 4270427
56th
5
774614677 +/- 692906
55th
3
774298500
55th
3
773379211 +/- 4459587
55th
3
773162989 +/- 1523877
54th
7
739766613 +/- 70412636
54th
12
726813203 +/- 82320421
54th
4
724842367 +/- 63383245
54th
3
696206914 +/- 2006432
54th
5
696205360 +/- 14458194
54th
3
692338967 +/- 2328970
52nd
3
595098978 +/- 5763872
52nd
13
577632687 +/- 13284321
51st
4
554862500 +/- 193303
Median
50th
494437000
49th
34
485437095 +/- 24632255
49th
7
467582571 +/- 31575021
49th
5
458771061 +/- 2047592
49th
5
456856282 +/- 2449945
48th
4
454205625 +/- 2143539
47th
5
450276393 +/- 804835
47th
4
450247615 +/- 19189704
47th
3
447645786
47th
16
444150617 +/- 17152032
46th
3
433644181 +/- 3444474
44th
4
413356700 +/- 1874057
44th
19
407755905 +/- 27525562
44th
4
406450667 +/- 1312887
43rd
4
404794220
43rd
12
394799253 +/- 22063221
43rd
10
393335117 +/- 26797084
43rd
22
393301404 +/- 27155922
43rd
14
392986900 +/- 39994978
42nd
15
391662358 +/- 31643941
41st
9
385626196 +/- 13444224
40th
4
376904534 +/- 1198020
40th
19
374766262 +/- 15149367
40th
7
373618643 +/- 6351894
39th
15
373335356 +/- 14752112
38th
8
366725106 +/- 54258227
38th
14
366316733 +/- 16874437
36th
3
350297633
36th
4
345373517 +/- 1616034
35th
4
342263538 +/- 28246425
35th
3
333448456 +/- 176310
34th
3
308020200 +/- 631319
34th
4
306695325 +/- 1548785
34th
4
305806100 +/- 25865
34th
3
303879044 +/- 1144788
33rd
4
302273333 +/- 3220019
33rd
3
294171700 +/- 428397
32nd
10
285776585 +/- 26053001
32nd
3
282955475 +/- 7057385
31st
3
275865733 +/- 148574
31st
4
273494250 +/- 1950922
30th
14
270465419 +/- 21106004
29th
3
265420089 +/- 666649
29th
10
260376920 +/- 14780585
28th
4
259336075 +/- 20258688
28th
4
258903583 +/- 419646
28th
4
254573129 +/- 7003656
27th
6
250416592 +/- 20415434
27th
5
249710025 +/- 26777749
27th
4
249503500 +/- 791478
26th
4
246553900 +/- 716069
26th
3
243082778 +/- 266992
Low-Tier
25th
< 242459433
25th
12
240743986 +/- 5554041
25th
24
240333648 +/- 29618264
25th
24
238727821 +/- 10298232
25th
3
238007622 +/- 162996
25th
4
237986767 +/- 418006
24th
3
237654867 +/- 751457
23rd
3
235333311 +/- 2079203
22nd
4
233163734 +/- 813752
22nd
40
230700224 +/- 18440993
22nd
4
229241400 +/- 14297992
22nd
3
229130778 +/- 2743104
22nd
6
228039844 +/- 3571727
21st
3
227477644 +/- 679877
21st
5
226168327 +/- 1992356
20th
3
223806567 +/- 721385
20th
8
222757938 +/- 27025525
20th
4
220614875 +/- 2185702
20th
8
220546108 +/- 28283302
20th
6
220091603 +/- 4751741
19th
5
219070386 +/- 1261759
19th
7
216598900 +/- 2523539
19th
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
15th
3
197562133 +/- 381888
14th
5
192786180 +/- 220110
14th
10
191352370 +/- 983967
13th
3
190316985 +/- 7464124
13th
3
187221278 +/- 241355
12th
3
186625533 +/- 406872
12th
3
183000056 +/- 50045
12th
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
10th
3
162782978 +/- 124829
9th
3
160379011 +/- 969099
9th
4
160221900 +/- 11434883
9th
3
155193500 +/- 61037
9th
3
151527800 +/- 547494
8th
4
146144883 +/- 129452
8th
3
144264567 +/- 1074092
8th
3
143393233 +/- 1287809
8th
3
137379311 +/- 65128
7th
3
136876555 +/- 1522236
7th
4
128697217 +/- 2922758
7th
3
126149344 +/- 210413
7th
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 Results2206 Results Range From 5399313 To 8566301000 Figure Of Merit5399313176617347347835381519053415690271449861489483103270751712039255511375143585154636161917175796531888797687206001572122312337552402451789257366982327448878572916105891308732392532585419593429759993360097802737721960613943414095411463212942858501634457068197462828623147995042654970722299514194033353131583675484376401565559443558268124695998030503616924853763404665716511684605668290263968541206737025338707719655674173677747757538992809771021084378814288778052646911822386494583950829798566301013120240360480600

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 Scaling468101214161824283248649612848121620

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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2 Systems - 1 Benchmark Result

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Ubuntu 24.04 - 6.8.0-45-generic - KDE Plasma 5.27.11

3 Systems - 14 Benchmark Results

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Debian 11 - 5.10.0-32-amd64 - KDE Plasma 5.20.5

1 System - 1 Benchmark Result

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Debian 12 - 6.6.31+rpt-rpi-2712 - X Server

20 Systems - 20 Benchmark Results

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1 System - 1 Benchmark Result

HiSilicon TSV110 - QEMU KVM Virtual Machine - Red Hat QEMU PCIe

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14 Systems - 42 Benchmark Results

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Bianbu 1.0.11 - 6.1.15 - GNOME Shell 45.0

13 Systems - 42 Benchmark Results

Spacemit X60 - Milk-V - 16GB

Bianbu 1.0.9 - 6.1.15 - GNOME Shell 45.0

12 Systems - 42 Benchmark Results

Unknown - Yytek 301-0059 - Loongson LLC Hyper Transport Bridge

Gentoo 2.15 - 6.9.1-loongarch - KDE Plasma 5.27.11

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