Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-96-96.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 | 109858 |
| Compressed Size | 8616 |
| 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 | 109850 |
| Compressed Size | 8626 |
| Max. Term Depth | 7 |
| Asserts | 693 |
| Declared Functions | 0 |
| Declared Constants | 710 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
ite | 456 |
not | 2 |
or | 16 |
and | 854 |
xor | 4 |
= | 2454 |
distinct | 1 |
concat | 18 |
extract | 248 |
bvadd | 12 |
bvsub | 204 |
bvuge | 24 |
bvshl | 196 |
bvlshr | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
840.16075
|
840.02320
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.71533
|
1201.13571
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.74603
|
1268.89936
|
| |
STP |
STP |
unsat ✅
|
1180.79553
|
1180.41519
|
| |
Yices2 |
Yices2 |
unsat ✅
|
705.47779
|
705.08625
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.71419
|
1201.13469
|
|
SMT-COMP 2025
|
0.67 (3/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
503.97843
|
503.79996
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
653.79430
|
653.51884
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
878.31127
|
878.06442
|
| |
BVDecide |
bv_decide |
unknown ❌
|
1202.42258
|
1202.40283
|
| |
|
bv_decide-nokernel |
unknown ❌
|
1202.41960
|
1202.41678
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.75065
|
1201.03646
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.50312
|
1313.00637
|
| |
Yices2 |
Yices2 |
unsat ✅
|
696.05004
|
695.82822
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.00680
|
4801.35700
|
| |
Z3 |
Z3-alpha-base |
unknown ❌
|
1201.35643
|
1201.13161
|
| |
|
Z3-Owl-base |
unknown ❌
|
1201.31748
|
1201.09642
|
| |
|
z3siri-base |
unknown ❌
|
1201.31208
|
1200.95759
|
| |
Z3-Owl |
Z3-Owl |
unknown ❌
|
1201.75790
|
1201.09543
|