Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-128-64.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 | 80086 |
| Compressed Size | 7137 |
| 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 | 80078 |
| Compressed Size | 7147 |
| 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 2025
|
0.67 (3/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
254.46773
|
254.29086
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
335.55100
|
335.38269
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
344.34968
|
344.19072
|
| |
BVDecide |
bv_decide |
unknown ❌
|
1202.44676
|
1202.49087
|
| |
|
bv_decide-nokernel |
unknown ❌
|
1202.41789
|
1202.44894
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.79452
|
1201.01081
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.44973
|
1266.32154
|
| |
Yices2 |
Yices2 |
unsat ✅
|
382.56725
|
382.39554
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.00554
|
4801.24482
|
| |
Z3 |
Z3-alpha-base |
unknown ❌
|
1201.27520
|
1200.96023
|
| |
|
Z3-Owl-base |
unknown ❌
|
1201.30275
|
1201.05859
|
| |
|
z3siri-base |
unknown ❌
|
1201.27885
|
1200.95534
|
| |
Z3-Owl |
Z3-Owl |
unknown ❌
|
1201.75595
|
1201.02255
|