Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-32-16.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 | 33300 |
| Compressed Size | 4625 |
| 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 | 33292 |
| Compressed Size | 4639 |
| Max. Term Depth | 7 |
| Asserts | 213 |
| Declared Functions | 0 |
| Declared Constants | 230 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
ite | 136 |
not | 2 |
or | 16 |
and | 214 |
xor | 4 |
= | 694 |
distinct | 1 |
concat | 16 |
extract | 90 |
bvadd | 12 |
bvsub | 44 |
bvuge | 24 |
bvshl | 36 |
bvlshr | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.17 (5/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
7.98391
|
7.87572
|
| |
cvc5 |
cvc5 |
unsat ✅
|
24.68857
|
24.58739
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.72080
|
1264.09733
|
| |
STP |
STP |
unsat ✅
|
6.56504
|
6.45937
|
| |
Yices2 |
Yices2 |
unsat ✅
|
3.29431
|
3.19274
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
282.89482
|
282.70486
|
|
SMT-COMP 2025
|
0.11 (8/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
7.20651
|
7.08549
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
6.50660
|
6.39065
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
7.43154
|
7.30157
|
| |
BVDecide |
bv_decide |
unsat ✅
|
33.99533
|
33.83535
|
| |
|
bv_decide-nokernel |
unsat ✅
|
28.75634
|
28.59422
|
| |
cvc5 |
cvc5 |
unsat ✅
|
19.82398
|
19.70525
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.49352
|
1265.26658
|
| |
Yices2 |
Yices2 |
unsat ✅
|
3.69409
|
3.57612
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
38.27506
|
151.73855
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
18.30932
|
18.18129
|
| |
|
Z3-Owl-base |
unsat ✅
|
86.03018
|
85.87805
|
| |
|
z3siri-base |
unsat ✅
|
18.75827
|
18.63931
|
| |
Z3-Owl |
Z3-Owl |
unsat ✅
|
12.73862
|
12.60697
|