Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-128-16.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 | 34774 |
| Compressed Size | 4742 |
| 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 | 34766 |
| Compressed Size | 4755 |
| 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 ✅
|
30.65069
|
30.53589
|
| |
cvc5 |
cvc5 |
unsat ✅
|
73.51219
|
73.39718
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.78134
|
1259.89147
|
| |
STP |
STP |
unsat ✅
|
39.18673
|
39.07743
|
| |
Yices2 |
Yices2 |
unsat ✅
|
20.05056
|
19.94886
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
1050.99165
|
1050.50350
|
|
SMT-COMP 2025
|
|
Bitwuzla |
Bitwuzla |
unsat ✅
|
25.81810
|
25.68608
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
24.21910
|
24.08951
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
30.99377
|
30.86598
|
| |
BVDecide |
bv_decide |
unsat ✅
|
170.50269
|
170.38717
|
| |
|
bv_decide-nokernel |
unsat ✅
|
151.94612
|
151.82494
|
| |
cvc5 |
cvc5 |
unsat ✅
|
49.95916
|
49.83636
|
| |
SMTInterpol |
SMTInterpol |
unsat ✅
|
690.07964
|
749.21260
|
| |
Yices2 |
Yices2 |
unsat ✅
|
8.32361
|
8.20314
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
227.20515
|
907.22155
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
161.96871
|
161.81571
|
| |
|
Z3-Owl-base |
unsat ✅
|
759.30386
|
759.04433
|
| |
|
z3siri-base |
unsat ✅
|
165.16841
|
165.00811
|
| |
Z3-Owl |
Z3-Owl |
unsat ✅
|
52.70360
|
52.56697
|