Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-64-96.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 | 109474 |
| Compressed Size | 8590 |
| 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 | 109466 |
| Compressed Size | 8597 |
| 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 ✅
|
482.85300
|
482.81800
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.02000
|
1199.83000
|
| |
STP |
STP 2022.4_default |
unsat ✅
|
481.68700
|
481.60700
|
| |
|
STP 2022.4_default |
unsat ✅
|
521.44700
|
521.46800
|
| |
UltimateEliminator |
UltimateIntBlastingWrapper+SMTInterpol_default |
unknown ❌
|
5.53007
|
15.66790
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.02000
|
1199.89000
|
| |
Z3-Owl |
z3-Owl-Final_default |
unknown ❌
|
1200.02000
|
1199.87000
|
| |
|
z3-Owl-Final_default |
unsat ✅
|
1190.80000
|
1190.64000
|
|
SMT-COMP 2025
|
0.67 (3/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
402.20811
|
402.05164
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
460.25232
|
460.08164
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
381.46925
|
381.30530
|
| |
BVDecide |
bv_decide |
unknown ❌
|
1202.59001
|
1202.66104
|
| |
|
bv_decide-nokernel |
unknown ❌
|
1202.61305
|
1202.63247
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.76082
|
1201.04747
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.49338
|
1256.91366
|
| |
Yices2 |
Yices2 |
unsat ✅
|
357.89039
|
357.73256
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.00563
|
4801.15093
|
| |
Z3 |
Z3-alpha-base |
unknown ❌
|
1201.29915
|
1201.00409
|
| |
|
Z3-Owl-base |
unknown ❌
|
1201.26725
|
1200.91616
|
| |
|
z3siri-base |
unknown ❌
|
1201.29217
|
1200.98466
|
| |
Z3-Owl |
Z3-Owl |
unknown ❌
|
1201.75317
|
1201.06266
|