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

Last Updated

16 July 2024

Test Maintainer

Lucian Popescu

Test Type

Processor

Average Install Time

2 Minutes, 27 Seconds

Average Run Time

4 Minutes, 10 Seconds

Test Dependencies

C/C++ Compiler Toolchain + Python + CMake

Accolades

5k+ Downloads + Recently Updated Test Profile

Supported Platforms

Supported Architectures

x86_64 + aarch64

* 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 20 July 2024.

Revision History

pts/z3-1.0.1 [View Source] Tue, 16 Jul 2024 12:59:39 GMT
Enable AArch64 support, change broken download URLs. Closes: https://github.com/phoronix-test-suite/test-profiles/issues/295

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: 2.smt2

OpenBenchmarking.org metrics for this test profile configuration based on 554 public results since 5 May 2023 with the latest data as of 25 July 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)

AMD Ryzen 7 7700X 8-Core

95th

45 ^{+/- 1}

AMD Ryzen 9 7950X 16-Core

95th

46 ^{+/- 1}

AMD Ryzen 9 7900X 12-Core

92nd

47 ^{+/- 1}

AMD Ryzen 7 7700 8-Core

91st

47 ^{+/- 1}

AMD Ryzen 7 7800X3D 8-Core

90th

47 ^{+/- 1}

2 x AMD EPYC 9J14 96-Core

88th

AMD EPYC 4484PX 12-Core

88th

AMD Ryzen 9 7900 12-Core

87th

47 ^{+/- 2}

AMD EPYC 4584PX 16-Core

85th

AMD EPYC 4344P 8-Core

83rd

AMD Ryzen 5 7600 6-Core

82nd

48 ^{+/- 1}

AMD Ryzen 5 7600X 6-Core

81st

48 ^{+/- 2}

AMD EPYC 4364P 8-Core

81st

AMD Ryzen 9 7950X3D 16-Core

81st

49 ^{+/- 4}

AMD Ryzen Threadripper PRO 7995WX 96-Cores

80th

49 ^{+/- 1}

AMD EPYC 4564P 16-Core

78th

AMD Ryzen 9 7900X3D 12-Core

76th

49 ^{+/- 4}

Mid-Tier

75th

> 49

AMD EPYC 4244P 6-Core

75th

AMD Ryzen Threadripper 7980X 64-Cores

75th

49 ^{+/- 1}

Intel Core i9-14900K

71st

AMD EPYC 4464P 12-Core

70th

Intel Core i9-13900K

70th

AMD Ryzen 7 8700G

66th

53 ^{+/- 2}

AMD Ryzen 5 8600G

66th

55 ^{+/- 2}

ARMv8 Neoverse-N1 160-Core

62nd

AMD EPYC 4124P 4-Core

62nd

Intel Core i5-14600K

60th

58 ^{+/- 1}

AMD Ryzen 7 5800X3D 8-Core

60th

58 ^{+/- 2}

AMD Ryzen 7 5800X 8-Core

58th

59 ^{+/- 1}

AMD Ryzen 9 5950X 16-Core

57th

60 ^{+/- 1}

AMD Ryzen 9 5900X 12-Core

56th

60 ^{+/- 1}

AMD Ryzen 7 7840HS

52nd

62 ^{+/- 3}

Intel Core i5-14500

52nd

AMD Ryzen 7 7840U

52nd

62 ^{+/- 1}

Intel Core i5-12600K

51st

Intel Xeon E E-2488

51st

63 ^{+/- 1}

Median

50th

AMD Ryzen Z1 Extreme

47th

65 ^{+/- 1}

2 x Intel Xeon E5-2620 v2

47th

AMD Ryzen 7 PRO 7840U

45th

2 x AMD EPYC 9684X 96-Core

45th

2 x AMD EPYC 9554 64-Core

43rd

69 ^{+/- 1}

Intel Core i3-14100

43rd

69 ^{+/- 1}

2 x AMD EPYC 7373X 16-Core

41st

2 x AMD EPYC 9654 96-Core

39th

71 ^{+/- 1}

Intel Xeon E-2388G

37th

72 ^{+/- 1}

AMD Ryzen 9 5900HX

35th

73 ^{+/- 3}

Intel Xeon Platinum 8462Y

35th

73 ^{+/- 1}

2 x Intel Xeon Gold 6442Y

32nd

Intel Xeon Gold 6444Y

32nd

75 ^{+/- 1}

2 x AMD EPYC 7773X 64-Core

32nd

75 ^{+/- 1}

AMD Ryzen 5 5500

32nd

75 ^{+/- 2}

AMD Ryzen 9 3900XT 12-Core

29th

76 ^{+/- 1}

Intel Core Ultra 7 155H

29th

76 ^{+/- 1}

AMD Ryzen Threadripper 3970X 32-Core

29th

Intel Xeon E-2336

27th

AMD Ryzen 7 6800U

26th

78 ^{+/- 1}

Low-Tier

25th

> 78

AMD Ryzen 7 PRO 5850U

24th

79 ^{+/- 1}

AMD Ryzen 7 PRO 6850U

19th

Intel Core i7-1165G7

19th

81 ^{+/- 2}

Intel Xeon Platinum 8468

17th

AMD Ryzen Threadripper 3990X 64-Core

15th

AMD EPYC 7F32 8-Core

15th

2 x Intel Xeon Platinum 8468

15th

83 ^{+/- 1}

2 x Intel Xeon Platinum 8380

12th

86 ^{+/- 1}

Intel Core i7-1185G7

12th

86 ^{+/- 1}

2 x Intel Xeon Max 9480

12th

2 x AMD EPYC 9754 128-Core

10th

Intel Core i7-1065G7

9th

AMD Ryzen 7 4800U

8th

103 ^{+/- 2}

AMD Ryzen 5 4500U

7th

106

AMD Ryzen 5 5500U

6th

109

Intel Xeon E3-1280 v5

6th

123 ^{+/- 1}

Intel Core i7-8565U

5th

131

AMD EPYC 7551 32-Core

4th

135 ^{+/- 5}

Intel Core i7-5960X

4th

137

Intel Core i9-10980XE

3rd

138 ^{+/- 1}

Intel Xeon Silver 4216

1st

144

Based on OpenBenchmarking.org data, the selected test / test configuration (Z3 Theorem Prover 4.12.1 - SMT File: 2.smt2) has an average run-time of 4 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.

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

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.

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)

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)

ARMv8 64-bit

aarch64

ARMv8 Neoverse-N1 160-Core

z3-1.0.0-fno-use-default-alignment 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-constrain-bool-value 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-mllvm-zero-uninit-loads 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fdrop-inbounds-from-gep-mllvm-disable-oob-analysis 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-finite-loops 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-use-default-alignment 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fconstrain-shift-value 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
new t 3 Systems - 10 Benchmark Results	Intel Core i9-14900K - ASUS PRIME Z790-P WIFI - Intel Raptor Lake-S PCH Ubuntu 24.04 - 6.10.0-061000rc6daily20240706-generic - GNOME Shell 46.0
z3-1.0.0-fno-constrain-bool-value 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-delete-null-pointer-checks 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-finite-loops 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
blender 4.2 4 Systems - 8 Benchmark Results	AMD Ryzen Threadripper 7980X 64-Cores - System76 Thelio Major - AMD Device 14a4 Ubuntu 24.04 - 6.10.0-061000rc6daily20240704-generic - GNOME Shell 46.0
z3-1.0.0-fconstrain-shift-value 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fstrict-enums 1 System - 2 Benchmark Results	ARMv8 Neoverse-N1 - Oracle TLA MB TRAY A1-2c - 1008GB Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255
z3-1.0.0-fno-delete-null-pointer-checks 1 System - 2 Benchmark Results	2 x AMD EPYC 9J14 96-Core - Oracle Asm MB+Tray E5-2c - AMD Device 14a4 Ubuntu 22.04 - 6.5.0-1025-oracle - 1.3.255

AMD EPYC 9684X 2P Genoa-X Benchmarks 12 Systems - 69 Benchmark Results	2 x Intel Xeon Platinum 8490H - Quanta Cloud S6Q-MB-MPS - Intel Device 1bce Ubuntu 23.04 - 6.2.0-23-generic - GNOME Shell 44.0
AMD Ryzen 5000 Series Linux Performance Featured Processor Comparison	AMD Ryzen 5 5600G - ASUS ROG CROSSHAIR VIII HERO - AMD Renoir Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5
AMD Ryzen 5000 Series Linux Performance 10 Systems - 272 Benchmark Results	AMD Ryzen 5 5500 - ASUS ROG CROSSHAIR VIII HERO - AMD Renoir Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5
AMD Ryzen 5000 Series Linux Performance 8 Systems - 271 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
Intel Core Ultra 7 155H vs. AMD Ryzen 7 7840U Linux Benchmarks 2 Systems - 831 Benchmark Results	AMD Ryzen 7 7840U - Framework FRANMDCP07 - AMD Device 14e8 Ubuntu 23.10 - 6.7.0-060700rc5-generic - GNOME Shell 45.1
7950x3d may 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
new new 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
Framework 13 AMD Ryzen 7 7840U Linux Benchmarks 7 Systems - 223 Benchmark Results	Intel Core i7-1280P - MSI MS-14C6 - Intel Alder Lake PCH Ubuntu 23.10 - 6.3.0-7-generic - GNOME Shell
AMD Ryzen 5000 Series Linux Performance 8 Systems - 271 Benchmark Results	AMD Ryzen 7 5800X3D 8-Core - ASUS ROG CROSSHAIR VIII HERO - AMD Starship Ubuntu 22.04 - 5.19.0-46-generic - GNOME Shell 42.5
dddas 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
ssa 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
dddas 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
sdmay 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
icy may 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
7950x3d may 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

Z3 Theorem Prover

Project Site

Source Repository

Test Created

Last Updated

Test Maintainer

Test Type

Average Install Time

Average Run Time

Test Dependencies

Accolades

Supported Platforms

Supported Architectures

Revision History

Performance Metrics

Z3 Theorem Prover 4.12.1

SMT File: 2.smt2

Does It Scale Well With Increasing Cores?

Notable Instruction Set Usage

Tested CPU Architectures

Recent Test Results

Most Popular Test Results