Benchmark

non-incremental/QF_BV/brummayerbiere/nlzbsdown128.smt2 

Number of leading zeros nlz(x) algorithm, binary search, counting down
From the book "Hacker's delight" by Henry S. Warren, Jr., page 78
We cross-check it with an obvious method of counting leading zeros:

s = 0;
for (i = BW - 1; i >= 0; i--)
  if (x & (1 << i))
    break;
  else
    s++;

Contributed by Robert Brummayer (robert.brummayer@gmail.com)
Benchmark
Size36773
Compressed Size3356
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categorycrafted
First Occurrence2008-07-07
Generated By—
Generated On—
Generator—
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 36765
Compressed Size3370
Max. Term Depth285
Asserts 1
Declared Functions0
Declared Constants1
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite406 not8 =400 let275
bvnot129 bvand128 bvor128 bvadd128
bvsub8 bvshl128 bvlshr7 zero_extend128

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT Evaluation 2013 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 0.98035 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 0.56287 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 0.58375 —
abziz_portfolio_2012_minfeatures default unsat ✅ 0.56489 —
abziz_portfolio_2012_solvers default unsat ✅ 0.56544 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 0.58988 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 3.24730 —
Boolector-SMT-COMP-2011 default unsat ✅ 10.94720 —
Boolector-SMT-COMP-2012 default unsat ✅ 7.04243 —
CVC3 CVC3-SMT-COMP-2010 default unknown ❌ 331.01600 —
CVC3-SMT-COMP-2011 default unsat ✅ 1446.88000 —
CVC3-SMT-COMP-2012 default unsat ✅ 1464.22000 —
CVC4 CVC4-SMT-COMP-2012-Resubmission default unsat ✅ 3.93652 —
CVC4-SMT-EVAL-2013 default unsat ✅ 6.72204 —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 18.92370 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 31.18720 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 21.59750 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 18.82430 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 0.62789 —
SONOLAR-SMT-COMP-2010 default unsat ✅ 5.23434 —
SONOLAR-SMT-COMP-2011 default unsat ✅ 1.01154 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 0.94663 —
STP STP2-SMT-COMP-2011 default unsat ✅ 0.65238 —
STP2-SMT-COMP-2012 default unsat ✅ 0.80160 —
simplifyingSTP-SMT-COMP-2010 default unsat ✅ 0.93052 —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unsat ✅ 0.66972 —
Z3-SMT-COMP-2011 default unsat ✅ 0.55671 —
SMT-COMP 2014 4Simp 4Simp - 2014 default unsat ✅ 0.53865 0.52892
Abziz abziz_portfolio_all_features default unsat ✅ 1.12592 1.11283
abziz_portfolio_min_features default unsat ✅ 1.13382 1.11983
Boolector Boolector boolector unsat ✅ 3.73787 3.73043
CVC4 CVC4 f7118b2 default unsat ✅ 7.57069 15.11470
MathSAT MathSAT-5.2.12-Main default unsat ✅ 19.78310 19.79000
SONOLAR sonolar_smtcomp-2014 default unsat ✅ 0.70497 0.69389
STP stp-cryptominisat4 default unsat ✅ 0.61056 0.60191
Yices2 Yices-2.2.1-smtcomp2014 default unsat ✅ 0.77487 0.76688
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.68767 0.67790
SMT-COMP 2015 Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 5.18794 5.18921
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 7.57190 15.11670
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 7.56680 15.12970
MathSAT MathSat 5.3.6 main smtcomp2015_main unsat ✅ 13.47860 13.48000
SMT-RAT SMT-RAT-final default unsat ✅ 723.19100 723.43800
STP stp-cryptominisat4 default unsat ✅ 0.59922 0.59891
stp-cmsat4-v15 default unsat ✅ 0.56722 0.56591
stp-cmsat4-mt-v15 default unknown ❌ 0.39799 0.39694
stp-minisat-v15 default unsat ✅ 0.61655 0.61591
Yices2 Yices default unsat ✅ 0.79972 0.79888
Z3 z3 4.4.0 default unsat ✅ 1.16772 1.16782
SMT-COMP 2016 ABC ABC_default default_abc unsat ✅ 0.81959 0.81928
ABC_glucose glucose unsat ✅ 3.22152 3.22184
Boolector Boolector boolector unsat ✅ 13.38350 13.39130
Boolector preprop boolector unsat ✅ 13.39940 13.40690
CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 7.74434 15.49290
MapleSTP MapleSTP default unsat ✅ 0.78023 0.78063
MapleSTP-mt default unsat ✅ 0.96382 2.73317
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 13.89060 13.89860
MinkeyRink Minkeyrink 2016 default unsat ✅ 2.76145 3.56522
Q3B Q3B default unsat ✅ 0.48060 0.37971
STP stp-cms-exp-2016 default unsat ✅ 0.85187 0.85237
stp-cms-mt-2016 default unsat ✅ 1.01097 2.80122
stp-cms-st-2016 default unsat ✅ 0.80850 0.80867
stp-minisat-st-2016 default unsat ✅ 3.26897 3.27074
Yices2 Yices-2.4.2 default unsat ✅ 0.95755 0.95819
Z3 z3-4.4.1 default unsat ✅ 0.67958 0.68135
SMT-COMP 2017 Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 2.69299 2.69220
Boolector SMT17 final boolector unsat ✅ 11.77920 11.77710
CVC4 CVC4-smtcomp2017-main default unsat ✅ 8.80157 17.29420
MathSAT mathsat-5.4.1-linux-x86_64-Main default unsat ✅ 14.53790 14.53700
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 0.97939 0.94806
Q3B Q3B default unsat ✅ 0.38928 0.28737
STP stp_st default unsat ✅ 1.00005 0.99848
stp_mt default unsat ✅ 0.99723 2.75171
Yices2 Yices2-Main default unsat ✅ 1.55445 1.54226
Z3 z3-4.5.0 default unsat ✅ 0.79950 0.78911
SMT-COMP 2018 Boolector Boolector_default unsat ✅ 2.51621 2.51622
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 12.26440 12.26370
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 15.03290 15.03140
MinkeyRink Minkeyrink MT_mt unsat ✅ 0.83352 2.23573
Minkeyrink ST_st unsat ✅ 0.69135 0.69138
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 0.78137 0.77728
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 0.84014 2.21367
STP-Riss-st-2018_riss-no-stderr unsat ✅ 1.25476 1.25133
Yices2 Yices 2.6.0_default unsat ✅ 0.87855 0.87843
Z3 z3-4.7.1_default unsat ✅ 1.32175 1.32130
SMT-COMP 2019 Boolector Boolector-wrapped-sq_default unsat ✅ 2.41521 2.41503
Poolector-wrapped-sq_default unsat ✅ 3.02235 11.44810
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 10.68740 10.68680
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 34.41660 34.41450
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 0.17691 0.38591
MinkeyRink ST-wrapped-sq_default unsat ✅ 0.17334 0.17341
Par4 Par4-wrapped-sq_default unsat ✅ 1.26550 3.72000
STP STP-2019-wrapped-sq_default unsat ✅ 0.75534 0.75578
stp-mergesat-fixed-wrapped-sq_default unsat ✅ 4.08160 4.08200
stp-minisat-wrapped-sq_default unsat ✅ 0.65893 0.65918
stp-mt-wrapped-sq_default unsat ✅ 0.82534 2.08299
stp-portfolio-fixed-wrapped-sq_default unsat ✅ 4.17568 5.03556
stp-riss-wrapped-sq_default unknown ❌ 0.38613 0.38631
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 0.97919 0.97892
Yices 2.6.2 Cadical-wrapped-sq_default unsat ✅ 0.66864 0.66858
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 1.25843 1.25846
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.03000 2399.96000
Yices 2.6.2 new bvsolver-wrapped-sq_default unsat ✅ 0.53868 0.53865
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.84450 0.84450
SMT-COMP 2020 0.11 (8/9) Bitwuzla Bitwuzla-fixed_default unsat ✅ 2.75486 2.75445
Boolector Boolector-wrapped-sq_default unsat ✅ 2.45355 2.45356
Poolector-wrapped-sq_default unsat ✅ 2.88680 10.91000
CVC4 CVC4-sq-final_default unsat ✅ 57.53810 57.45850
LazyBV2Int LazyBV2Int20200523_default.sh unknown ❌ 1200.09000 1199.98000
MathSAT MathSAT5_default.sh unsat ✅ 16.28120 16.28190
MinkeyRink MinkeyRink Solver 2020.3.1_default unknown ❌ 0.14329 0.14355
MinkeyRink Solver 2020.3_default unsat ✅ 0.23444 0.49808
STP STP_default unsat ✅ 0.92492 2.61611
STP ++ Mergsat v1_default unsat ✅ 0.73143 0.73311
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 0.12556 0.12552
Z3 z3-4.8.8_default unsat ✅ 1.62336 1.62324
SMT-COMP 2021 Bitwuzla Bitwuzla-fixed_default unsat ✅ 2.84395 2.84358
MathSAT mathsat-5.6.6_default unsat ✅ 15.71380 15.71170
STP STP 2021.0_default unsat ✅ 0.88257 2.47986
Z3 z3-4.8.11_default unsat ✅ 0.95262 0.95251
SMT-COMP 2022 Bitwuzla Bitwuzla-fixed_default unsat ✅ 2.79411 2.79412
Bitwuzla-wrapped_default unsat ✅ 2.63564 2.63540
cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 74.96320 74.96430
MathSAT MathSAT-5.6.8_default unsat ✅ 18.54620 18.54700
STP STP 2022.4_default unsat ✅ 2.06001 2.05981
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.58859 0.58842
Z3++BV z3++bv_0702_default unsat ✅ 4.06494 4.06467
Z3 z3-4.8.17_default unsat ✅ 0.81387 0.81557
SMT-COMP 2023 0.17 (5/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 0.89235 0.89229
cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 134.70700 134.60000
STP STP 2022.4_default unsat ✅ 2.04175 2.04150
STP 2022.4_default unsat ✅ 2.04956 2.04954
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 1200.06000 1263.26000
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.93478 0.93462
Z3-Owl z3-Owl-Final_default unsat ✅ 6.18406 6.18410
z3-Owl-Final_default unsat ✅ 6.21827 6.21754
SMT-COMP 2024 0.17 (5/6) Bitwuzla Bitwuzla unsat ✅ 1.49097 1.39086
cvc5 cvc5 unsat ✅ 57.30584 57.19156
SMTInterpol SMTInterpol unknown ❌ 1201.72025 1205.51426
STP STP unsat ✅ 0.90568 0.80586
Yices2 Yices2 unsat ✅ 1.09412 0.99443
Z3alpha Z3-alpha unsat ✅ 4.78179 4.68213
SMT-COMP 2025 0.11 (8/9) Bitwuzla Bitwuzla unsat ✅ 1.04400 0.91143
Bitwuzla-MachBV-base unsat ✅ 1.22455 1.09488
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 0.62859 0.50369
BVDecide bv_decide unsat ✅ 69.17411 69.03272
bv_decide-nokernel unsat ✅ 60.54734 60.43447
cvc5 cvc5 unsat ✅ 48.28039 48.13528
SMTInterpol SMTInterpol unknown ❌ 1201.37834 1204.59914
Yices2 Yices2 unsat ✅ 0.87350 0.75276
Z3alpha Z3-alpha unsat ✅ 1.05416 2.85603
Z3 Z3-alpha-base unsat ✅ 0.65090 0.53418
Z3-Owl-base unsat ✅ 2.30197 2.18192
z3siri-base unsat ✅ 0.69418 0.56146
Z3-Owl Z3-Owl unsat ✅ 3.07628 2.94207