Benchmark
non-incremental/QF_NIA/20230328-sqrtmodinv-hoenicke/sqrtStep2.smt2
This checks the validity of the newton-raphson step that computes
the square root from an initial approximation:
assume abs(x - (res * res)) <= oldeps
res = (res + (x / res)) / 2
assert abs(x - (res * res)) <= neweps
where neweps depends on oldeps. It also considers rounding errors
correctly.
| Benchmark |
|---|
| Size | 1161 |
| Compressed Size | 571 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | crafted |
| First Occurrence | 2023-07-06 |
| Generated By | Jochen Hoenicke |
| Generated On | 2023-03-28 00:00:00 |
| Generator | Handwritten |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unsat |
| Inferred Status | unsat |
| Size | 1153 |
| Compressed Size | 566 |
| Max. Term Depth | 6 |
| Asserts | 5 |
| Declared Functions | 0 |
| Declared Constants | 3 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
or | 2 |
and | 2 |
= | 1 |
div | 4 |
+ | 7 |
* | 8 |
< | 2 |
<= | 4 |
>= | 2 |
| | | |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.75 (1/4) |
cvc5 |
cvc5 |
unknown ❌
|
1201.74100
|
1201.11628
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45952
|
0.48870
|
| |
Yices2 |
Yices2 |
unknown ❌
|
1201.21373
|
1200.82018
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.30745
|
0.20510
|
|
SMT-COMP 2025
|
0.60 (2/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.74821
|
1200.87063
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44232
|
0.43009
|
| |
Yices2 |
Yices2 |
unknown ❌
|
1201.28311
|
1200.97738
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.42633
|
0.38653
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30121
|
0.17768
|
| |
|
z3siri-base |
unsat ✅
|
0.28454
|
0.16407
|