Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-32-32.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 | 48338 |
| Compressed Size | 5479 |
| 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 | 48330 |
| Compressed Size | 5490 |
| Max. Term Depth | 7 |
| Asserts | 309 |
| Declared Functions | 0 |
| Declared Constants | 326 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
ite | 200 |
not | 2 |
or | 16 |
and | 342 |
xor | 4 |
= | 1046 |
distinct | 1 |
concat | 18 |
extract | 120 |
bvadd | 12 |
bvsub | 76 |
bvuge | 24 |
bvshl | 68 |
bvlshr | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.17 (5/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
33.18959
|
33.07506
|
| |
cvc5 |
cvc5 |
unsat ✅
|
100.61247
|
100.51127
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.72050
|
1264.56029
|
| |
STP |
STP |
unsat ✅
|
23.19397
|
23.09317
|
| |
Yices2 |
Yices2 |
unsat ✅
|
16.43179
|
16.33159
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
899.42155
|
899.17336
|
|
SMT-COMP 2025
|
0.11 (8/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
30.40781
|
30.28410
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
31.36762
|
31.23216
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
26.98851
|
26.85302
|
| |
BVDecide |
bv_decide |
unsat ✅
|
110.77783
|
110.66520
|
| |
|
bv_decide-nokernel |
unsat ✅
|
97.75811
|
97.62530
|
| |
cvc5 |
cvc5 |
unsat ✅
|
70.85102
|
70.71994
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.48126
|
1284.95413
|
| |
Yices2 |
Yices2 |
unsat ✅
|
10.20338
|
10.07078
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
186.92072
|
745.41009
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
87.57444
|
87.44825
|
| |
|
Z3-Owl-base |
unsat ✅
|
388.67034
|
388.49957
|
| |
|
z3siri-base |
unsat ✅
|
90.02666
|
89.87844
|
| |
Z3-Owl |
Z3-Owl |
unsat ✅
|
48.07738
|
47.93055
|