Benchmark
non-incremental/QF_BV/20230224-grsbits-truby/grs-32-128.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 | 140878 |
| Compressed Size | 9873 |
| 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 | 140870 |
| Compressed Size | 10267 |
| Max. Term Depth | 7 |
| Asserts | 885 |
| Declared Functions | 0 |
| Declared Constants | 902 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
ite | 584 |
not | 2 |
or | 16 |
and | 1110 |
xor | 4 |
= | 3158 |
distinct | 1 |
concat | 18 |
extract | 312 |
bvadd | 12 |
bvsub | 268 |
bvuge | 24 |
bvshl | 260 |
bvlshr | 6 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla-fixed_default |
unsat ✅
|
687.32200
|
687.33800
|
| |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.11000
|
1200.06000
|
| |
STP |
STP 2022.4_default |
unsat ✅
|
798.00500
|
797.92900
|
| |
|
STP 2022.4_default |
unsat ✅
|
807.65600
|
807.59000
|
| |
UltimateEliminator |
UltimateIntBlastingWrapper+SMTInterpol_default |
unknown ❌
|
5.11711
|
13.68700
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.01000
|
1199.92000
|
| |
Z3-Owl |
z3-Owl-Final_default |
unknown ❌
|
1200.02000
|
1200.00000
|
| |
|
z3-Owl-Final_default |
unsat ✅
|
1005.09000
|
1004.98000
|
|
SMT-COMP 2024
|
0.50 (3/6) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
799.75454
|
799.62407
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.71294
|
1201.13033
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.74451
|
1272.05629
|
| |
STP |
STP |
unsat ✅
|
717.30311
|
717.17402
|
| |
Yices2 |
Yices2 |
unsat ✅
|
506.05097
|
505.93296
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.73438
|
1200.86471
|
|
SMT-COMP 2025
|
0.67 (3/9) |
Bitwuzla |
Bitwuzla |
unsat ✅
|
455.04733
|
454.81081
|
| |
|
Bitwuzla-MachBV-base |
unsat ✅
|
679.02588
|
678.81388
|
| |
Bitwuzla-MachBV |
Bitwuzla-MachBV |
unsat ✅
|
511.45320
|
511.27886
|
| |
BVDecide |
bv_decide |
unknown ❌
|
1202.49730
|
1202.52084
|
| |
|
bv_decide-nokernel |
unknown ❌
|
1202.52877
|
1202.50140
|
| |
cvc5 |
cvc5 |
unknown ❌
|
1201.74490
|
1200.99775
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1201.48202
|
1261.32382
|
| |
Yices2 |
Yices2 |
unsat ✅
|
371.41342
|
371.25066
|
| |
Z3alpha |
Z3-alpha |
unknown ❌
|
1201.00677
|
4801.29200
|
| |
Z3 |
Z3-alpha-base |
unknown ❌
|
1201.30463
|
1201.04525
|
| |
|
Z3-Owl-base |
unknown ❌
|
1201.28339
|
1200.94038
|
| |
|
z3siri-base |
unknown ❌
|
1201.29164
|
1201.03437
|
| |
Z3-Owl |
Z3-Owl |
unknown ❌
|
1201.75888
|
1201.01554
|