Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-32-96.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 | 109090 |
| Compressed Size | 8577 |
| 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 | 109082 |
| Compressed Size | 8582 |
| 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 2023
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla-fixed_default |
unsat ✅
|
415.92800
|
415.86400
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.02000
|
1199.92000
|
| |
STP |
STP 2022.4_default |
unsat ✅
|
435.27900
|
435.23900
|
| |
|
STP 2022.4_default |
unsat ✅
|
433.47900
|
433.46100
|
| |
UltimateEliminator |
UltimateIntBlastingWrapper+SMTInterpol_default |
unknown ❌
|
5.35637
|
15.64280
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.01000
|
1200.04000
|
| |
Z3-Owl |
z3-Owl-Final_default |
unknown ❌
|
1200.10000
|
1199.94000
|
| |
|
z3-Owl-Final_default |
unsat ✅
|
588.67400
|
588.61900
|
|
SMT-COMP 2024
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
435.29340
|
434.97548
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.73764
|
1201.03215
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.74773
|
1265.01318
|
| |
STP |
STP |
unsat ✅
|
414.88307
|
414.77715
|
| |
Yices2 |
Yices2 |
unsat ✅
|
201.64627
|
201.49970
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.71556
|
1200.87183
|