Z3 Theorem Prover

The Z3 Theorem Prover / SMT solver is developed by Microsoft Research under the MIT license.

To run this test with the Phoronix Test Suite, the basic command is: phoronix-test-suite benchmark z3.

Project Site

github.com

Source Repository

github.com

Test Created

5 May 2023

Test Maintainer

Lucian Popescu 

Test Type

Processor

Average Install Time

3 Minutes, 58 Seconds

Average Run Time

3 Minutes, 18 Seconds

Test Dependencies

C/C++ Compiler Toolchain + Python + CMake

Accolades

5k+ Downloads

Supported Platforms

Supported Architectures

x86_64
Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page ViewsOpenBenchmarking.orgEventsZ3 Theorem Prover Popularity Statisticspts/z32023.052023.062023.072023.082023.092023.102023.112023.122024.012024.022024.032024.046001200180024003000
* 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.
Data updated weekly as of 22 April 2024.
2.smt249.1%1.smt250.9%SMT File Option PopularityOpenBenchmarking.org

Revision History

pts/z3-1.0.0   [View Source]   Fri, 05 May 2023 12:58:31 GMT
Upload Z3 theorem prover test profile from https://github.com/phoronix-test-suite/test-profiles/pull/273 with various cleanups/improvements. Closes: https://github.com/phoronix-test-suite/test-profiles/pull/273


Performance Metrics

Analyze Test Configuration:

Z3 Theorem Prover 4.12.1

SMT File: 1.smt2

OpenBenchmarking.org metrics for this test profile configuration based on 419 public results since 5 May 2023 with the latest data as of 12 April 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
Seconds (Average)
Intel Core i9-13900K
99th
4
14.0 +/- 0.1
AMD Ryzen 7 7800X3D 8-Core
96th
6
14.5 +/- 0.2
AMD Ryzen 7 5800X3D 8-Core
93rd
4
17.8 +/- 0.8
Intel Core i5-14500
93rd
3
18.2
AMD Ryzen 9 7950X 16-Core
91st
10
18.4 +/- 1.3
AMD Ryzen 7 7700X 8-Core
89th
8
19.1 +/- 0.3
Intel Core i5-12600K
89th
4
19.1
Intel Xeon Platinum 8462Y
87th
4
19.3 +/- 0.4
AMD Ryzen 9 7900X 12-Core
87th
11
19.3 +/- 0.5
AMD Ryzen 7 7700 8-Core
86th
8
19.4 +/- 0.1
2 x Intel Xeon Gold 6442Y
81st
3
20.0
AMD Ryzen 9 7900 12-Core
80th
4
20.1 +/- 0.2
AMD Ryzen 5 7600X 6-Core
78th
8
20.4 +/- 0.1
Intel Xeon Platinum 8468
77th
6
20.5 +/- 0.3
AMD Ryzen Threadripper PRO 7995WX 96-Cores
76th
3
20.6 +/- 0.1
Intel Core i3-14100
76th
3
20.6
Mid-Tier
75th
> 20.6
2 x Intel Xeon Platinum 8468
74th
3
20.7 +/- 0.3
Intel Xeon Gold 6444Y
72nd
3
21.0 +/- 0.3
AMD Ryzen 9 7900X3D 12-Core
72nd
8
21.2 +/- 0.2
2 x AMD EPYC 7373X 16-Core
68th
4
21.5 +/- 0.3
2 x AMD EPYC 9684X 96-Core
66th
6
21.8 +/- 0.1
Intel Core Ultra 7 155H
65th
6
22.6 +/- 0.2
2 x AMD EPYC 7773X 64-Core
58th
7
23.1 +/- 0.1
AMD Ryzen 9 5950X 16-Core
56th
8
23.4 +/- 0.5
AMD Ryzen 7 5800X 8-Core
55th
3
23.5 +/- 0.2
AMD Ryzen 5 8600G
53rd
4
24.1
Median
50th
24.8
2 x Intel Xeon Platinum 8380
50th
8
24.9 +/- 0.7
Intel Xeon E-2388G
50th
10
24.9 +/- 0.1
2 x AMD EPYC 9554 64-Core
45th
6
26.5 +/- 0.3
2 x AMD EPYC 9654 96-Core
45th
11
26.5 +/- 0.3
Intel Xeon E-2336
42nd
5
27.2 +/- 0.1
2 x Intel Xeon Max 9480
41st
3
27.4 +/- 0.4
Intel Core i7-1165G7
40th
6
29.1 +/- 0.7
AMD Ryzen 9 3900XT 12-Core
39th
4
29.4 +/- 0.1
AMD Ryzen 7 7840U
39th
10
29.4 +/- 1.8
Intel Core i7-1065G7
37th
4
29.7 +/- 0.3
AMD Ryzen Threadripper 3970X 32-Core
37th
4
29.9
Intel Core i7-1185G7
27th
5
31.3 +/- 0.4
AMD Ryzen 9 5900HX
27th
3
31.3 +/- 0.1
AMD Ryzen Z1 Extreme
27th
14
31.4 +/- 0.7
Low-Tier
25th
> 31.6
AMD Ryzen 7 PRO 7840U
22nd
7
33.5 +/- 0.2
AMD Ryzen Threadripper 3990X 64-Core
22nd
4
33.6 +/- 0.1
2 x AMD EPYC 9754 128-Core
19th
5
34.9 +/- 0.2
Intel Core i7-5960X
19th
3
34.9
AMD Ryzen 7 PRO 5850U
18th
8
35.6 +/- 0.7
AMD EPYC 7F32 8-Core
18th
3
35.6
AMD Ryzen 7 6800U
16th
3
36.6 +/- 0.3
Intel Core i9-10980XE
14th
6
37.8 +/- 0.3
Intel Xeon Silver 4216
13th
3
38.6
AMD Ryzen 7 PRO 6850U
12th
11
38.8 +/- 0.7
AMD Ryzen 5 4500U
9th
3
43.4 +/- 0.1
Intel Core i7-8565U
8th
5
43.7 +/- 0.3
AMD Ryzen 7 4800U
6th
3
44.6 +/- 1.4
AMD Ryzen 5 5500U
6th
3
44.9 +/- 0.7
2 x Intel Xeon E5-2620 v2
5th
3
45.9 +/- 0.2
AMD EPYC 7551 32-Core
5th
4
45.9 +/- 0.8
OpenBenchmarking.orgDistribution Of Public Results - SMT File: 1.smt2419 Results Range From 13 To 167 Seconds132537496173859710912113314515716950100150200250

Based on OpenBenchmarking.org data, the selected test / test configuration (Z3 Theorem Prover 4.12.1 - SMT File: 1.smt2) 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 BenchmarkSMT File: 1.smt2Run-Time246810Min: 1 / Avg: 1.48 / Max: 5

Based on public OpenBenchmarking.org results, the selected test / test configuration has an average standard deviation of 0.4%.

OpenBenchmarking.orgPercent, Fewer Is BetterAverage Deviation Between RunsSMT File: 1.smt2Deviation246810Min: 0 / Avg: 0.37 / Max: 2

Does It Scale Well With Increasing Cores?

No, based on the automated analysis of the collected public benchmark data, this test / test settings does not 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.

IntelAMDOpenBenchmarking.orgRelative Core Scaling To BaseZ3 Theorem Prover CPU Core ScalingSMT File: 1.smt24681216320.41880.83761.25641.67522.094

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.
 
MOVDQA MOVDQU CVTSI2SD DIVSD PUNPCKLQDQ MOVD SUBSD UNPCKLPD MOVAPD COMISD XORPD ADDSD SHUFPD MULSD CVTTSD2SI CVTSD2SS UCOMISD PSHUFD CVTSS2SD PSRLDQ MAXSD CVTDQ2PD CMPLTPD ANDPD ADDPD MOVUPD DIVPD SQRTSD MINSD PADDQ PUNPCKHQDQ MULPD CVTDQ2PS ANDNPD CMPNLESD ORPD PMULUDQ UNPCKHPD CMPLTSD MOVHPD MOVLPD CMPLESD SUBPD SQRTPD
SSE 4.2 (SSE4_2)
Requires passing a supported compiler/build flag (verified with targets: sandybridge, skylake, tigerlake, cascadelake, sapphirerapids, alderlake, znver2, znver3).
Found on Intel processors since at least 2010.
Found on AMD processors since Bulldozer (2011).
 
POPCNT
Advanced Vector Extensions (AVX)
Requires passing a supported compiler/build flag (verified with targets: sandybridge, skylake, tigerlake, cascadelake, sapphirerapids, alderlake, znver2, znver3).
Found on Intel processors since Sandy Bridge (2011).
Found on AMD processors since Bulldozer (2011).
 
VZEROUPPER VEXTRACTF128 VINSERTF128 VBROADCASTSD VBROADCASTSS VPERM2F128 VPERMILPD
Advanced Vector Extensions 2 (AVX2)
Requires passing a supported compiler/build flag (verified with targets: skylake, tigerlake, cascadelake, sapphirerapids, alderlake, znver2, znver3).
Found on Intel processors since Haswell (2013).
Found on AMD processors since Excavator (2016).
 
VINSERTI128 VEXTRACTI128 VPBROADCASTQ VPBROADCASTD VPERM2I128 VPSLLVD VPSRLVD VPGATHERQD VPGATHERQQ VPERMQ VPMASKMOVQ VPERMPD VPERMD VPMASKMOVD VPBROADCASTB VPBROADCASTW
FMA (FMA)
Requires passing a supported compiler/build flag (verified with targets: skylake, tigerlake, cascadelake, sapphirerapids, alderlake, znver2, znver3).
Found on Intel processors since Haswell (2013).
Found on AMD processors since Bulldozer (2011).
 
VFMADD231SD VFMADD132SD VFMADD213SD VFNMADD231SD VFMSUB132SD VFNMADD132SD VFNMADD213SD VFMSUB231SD
Advanced Vector Extensions 512 (AVX512)
Requires passing a supported compiler/build flag (verified with targets: cascadelake, sapphirerapids).
 
(ZMM REGISTER USE)
The test / benchmark does honor compiler flag changes.
Last automated analysis: 25 June 2023

This test profile binary relies on the shared libraries libm.so.6, libc.so.6.

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)

Recent Test Results

OpenBenchmarking.org Results Compare

2 Systems - 147 Benchmark Results

AMD Ryzen 7 7840HS - Framework Laptop 16 - AMD Device 14e8

Ubuntu 23.10 - 6.5.0-27-generic - GNOME Shell 45.2

1 System - 158 Benchmark Results

AMD Ryzen 7 7840HS - Framework FRANMZCP07 - 2 x 8192MB 5600MHz A-DATA AD5S56008G-B

Microsoft Windows 11 Home Build 22631 - 10.0.22631.3296 - 31.0.22024.15004

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

2 x Intel Xeon E5-2620 v2 - ASUS Z9PE-D8 WS - Intel Xeon E7 v2

CentOS Stream 9 - 5.14.0-427.el9.x86_64 - X Server

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

2 x Intel Xeon E5-2620 v2 - ASUS Z9PE-D8 WS - Intel Xeon E7 v2

CentOS Stream 9 - 5.14.0-427.el9.x86_64 - X Server

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

2 x Intel Xeon E5-2620 v2 - ASUS Z9PE-D8 WS - Intel Xeon E7 v2

CentOS Stream 9 - 5.14.0-427.el9.x86_64 - X Server

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

1 System - 2 Benchmark Results

Intel Core i5-10500 - Dell 0NDYHG - Intel Tiger Lake-H

Debian 12 - 6.1.0-13-amd64 - X Server 1.21.1.7

Most Popular Test Results

OpenBenchmarking.org Results Compare

12 Systems - 69 Benchmark Results

2 x Intel Xeon Max 9480 - Supermicro X13DEM v1.10 - Intel Device 1bce

Ubuntu 23.04 - 6.2.0-23-generic - GNOME Shell 44.0

10 Systems - 272 Benchmark Results

AMD Ryzen 7 5800X 8-Core - ASUS ROG CROSSHAIR VIII HERO - AMD Starship

Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5

8 Systems - 271 Benchmark Results

AMD Ryzen 9 5950X 16-Core - ASUS ROG CROSSHAIR VIII HERO - AMD Starship

Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5

2 Systems - 35 Benchmark Results

AMD Ryzen 9 7950X3D 16-Core - ASRock X670E PG Lightning - AMD Device 14d8

Ubuntu 22.10 - 5.19.0-23-generic - GNOME Shell 43.0

8 Systems - 271 Benchmark Results

AMD Ryzen 9 5900X 12-Core - ASUS ROG CROSSHAIR VIII HERO - AMD Starship

Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5

2 Systems - 191 Benchmark Results

AMD Ryzen Z1 Extreme - ASUS RC71L v1.0 - AMD Device 14e8

Ubuntu 23.04 - 6.4.0-060400rc6-generic - GNOME Shell 44.2

3 Systems - 49 Benchmark Results

AMD Ryzen 5 4500U - LENOVO LNVNB161216 - AMD Renoir

Pop 22.04 - 5.17.5-76051705-generic - GNOME Shell 42.1

3 Systems - 37 Benchmark Results

Intel Core i7-1065G7 - Dell 06CDVY - Intel Ice Lake-LP DRAM

Ubuntu 22.04 - 5.19.0-38-generic - GNOME Shell 42.2

2 Systems - 35 Benchmark Results

AMD Ryzen 9 7950X3D 16-Core - ASRock X670E PG Lightning - AMD Device 14d8

Ubuntu 22.10 - 5.19.0-23-generic - GNOME Shell 43.0

3 Systems - 22 Benchmark Results

AMD Ryzen 5 5500U - NB01 NL5xNU - AMD Renoir

Tuxedo 22.04 - 6.0.0-1010-oem - KDE Plasma 5.26.5

2 Systems - 234 Benchmark Results

AMD Ryzen Threadripper 3970X 32-Core - ASUS ROG ZENITH II EXTREME - AMD Starship

Ubuntu 22.04 - 5.19.0-051900rc7-generic - GNOME Shell 42.2

2 Systems - 17 Benchmark Results

AMD EPYC 7551 32-Core - GIGABYTE MZ31-AR0-00 v01010101 - AMD 17h

Debian 11 - 5.10.0-9-amd64 - GCC 10.2.1 20210110

2 Systems - 234 Benchmark Results

AMD Ryzen Threadripper 3970X 32-Core - ASUS ROG ZENITH II EXTREME - AMD Starship

Ubuntu 22.04 - 5.19.0-051900rc7-generic - GNOME Shell 42.2
Find More Test Results