Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-96-64.smt2
Publications: Upcoming bachelor thesis, tentatively called _Generating word-level floating-point benchmarks_ by Robin Trüby
Verification of integer multiplication is known to be a hard problem when working on bits.
In this work we consider the multiplication of doubles/floating point/bfloat8/...
as implemented in hardware. The idea is to use only three extra bits (calles GRS) and
their value decide how rounding is done. We simply check that a+b = b+a.
We use a word-level representation of the number, i.e., we represent the exponent
and mantissa as bitvectors instead of bit-level.
The naming convention of the benchmarks is 'grs-<exponent-size>-<mantissa-size>.smt2'.
For reference, a float64 would be grs-11-52.smt2.
| Benchmark |
|---|
| Size | 79342 |
| Compressed Size | 7116 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2023-07-06 |
| Generated By | Robin Trüby, Mathias Fleury, and Armin Biere |
| Generated On | 2023-02-24 00:00:00 |
| Generator | custom C code |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unsat |
| Inferred Status | unsat |
| Size | 79334 |
| Compressed Size | 7125 |
| Max. Term Depth | 7 |
| Asserts | 501 |
| Declared Functions | 0 |
| Declared Constants | 518 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
ite | 328 |
not | 2 |
or | 16 |
and | 598 |
xor | 4 |
= | 1750 |
distinct | 1 |
concat | 16 |
extract | 186 |
bvadd | 12 |
bvsub | 140 |
bvuge | 24 |
bvshl | 132 |
bvlshr | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla-fixed_default |
unsat ✅
|
382.17700
|
382.10000
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.12000
|
1199.97000
|
| |
STP |
STP 2022.4_default |
unsat ✅
|
514.51900
|
514.47100
|
| |
|
STP 2022.4_default |
unsat ✅
|
536.38700
|
535.98200
|
| |
UltimateEliminator |
UltimateIntBlastingWrapper+SMTInterpol_default |
unknown ❌
|
4.60424
|
12.17090
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.02000
|
1199.91000
|
| |
Z3-Owl |
z3-Owl-Final_default |
unknown ❌
|
1200.02000
|
1199.92000
|
| |
|
z3-Owl-Final_default |
unsat ✅
|
982.06300
|
982.12000
|
|
SMT-COMP 2024
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
343.92923
|
343.79339
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.72386
|
1200.50592
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.74453
|
1263.75677
|
| |
STP |
STP |
unsat ✅
|
466.97243
|
466.82183
|
| |
Yices2 |
Yices2 |
unsat ✅
|
242.42822
|
242.32409
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.71718
|
1201.10064
|
|
SMT-COMP 2025
|
0.67 (3/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
249.95354
|
249.76231
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
312.13674
|
311.93162
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
316.58308
|
316.43745
|
| |
BVDecide |
bv_decide |
unknown ❌
|
1202.58900
|
1202.49636
|
| |
|
bv_decide-nokernel |
unknown ❌
|
1202.61624
|
1202.60544
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.79616
|
1200.99385
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.49007
|
1267.06555
|
| |
Yices2 |
Yices2 |
unsat ✅
|
333.28607
|
333.13309
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.00411
|
4802.09966
|
| |
Z3 |
Z3-alpha-base |
unknown ❌
|
1201.26484
|
1200.97901
|
| |
|
Z3-Owl-base |
unknown ❌
|
1201.28694
|
1201.04419
|
| |
|
z3siri-base |
unknown ❌
|
1201.26797
|
1200.96436
|
| |
Z3-Owl |
Z3-Owl |
unknown ❌
|
1201.82975
|
1201.06962
|