KernelBench-M / rules /BRIEF3.md
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KernelBench-M artifact: rules, substrates, witnesses, pipeline, summaries
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# Brief 3: fine-grained mutation rules ONLY
## The single objective
Write rules whose mutants SURVIVE the benchmark's original inputs. Nothing
else matters. A rule whose mutants die on the first input is worthless — we
already have too many of those and they are being retired.
The original inputs are, for essentially every task:
torch.rand(...) # uniform [0,1), all POSITIVE, small magnitude
aligned shapes # every dim divisible by 32 or 256
compared with allclose(atol=1e-2, rtol=1e-2) # 1% slack
So a mutant survives if and only if its behavioural difference is INVISIBLE
under that specific regime. Measured value rates from our pool prove the point:
SURVIVES (keep writing rules like these)
ceil2floor 100% remainder block never exists when aligned
const0to1 62% changed constant is masked by tolerance
sync2syncwarp 40% race is benign when all values are similar
loop-bound-minus1 39% one missing term of thousands < 1%
store-fp16 24% 1e-3 relative error < 1e-2 tolerance
DIES INSTANTLY (do NOT write more of these)
plus2minus 3% every output element changes
mul2div/mul2plus 12% same
fmax2fmin 0% same
guard-drop-ternary 0% crashes or changes everything
## The four survival mechanisms — target these deliberately
1. TOLERANCE ABSORPTION. The fault's error is real but under 1% of the output
magnitude. Examples: one term of a long reduction dropped or double
counted; a constant off in the 4th significant digit; an intermediate
rounded to fewer bits; a slightly different but nearly-equal formula
(expf(a)*expf(b) instead of expf(a+b), fma vs mul+add, x*0.5f vs x/2.0f
with a perturbation).
2. INPUT-DOMAIN EVASION. The faulty path is never taken because the input is
positive, small and finite. Examples: a branch that only differs for
negative / >1 / very large / NaN / exactly-equal values; a clamp whose
bound is never reached; a sign-dependent shortcut; a sentinel that only
matters when all values share a sign.
3. SHAPE-ALIGNMENT EVASION. The faulty code path only executes on a partial
block / remainder loop / edge tile, which does not exist when every
dimension is a multiple of the block size. Examples: remainder handling,
the last tile of a K-loop, an edge guard on the final row.
4. BENIGN RACE. Removing or weakening synchronization only corrupts results
when the racing values differ substantially; under uniform [0,1) the stale
and fresh values are nearly equal. Examples: partial barrier, barrier moved
one statement, reading a shared slot one iteration early, using a
thread-local value where a reduced value is intended.
## Constraints
- Deterministic regex rewrite, single site per mutant, must COMPILE.
- Must not be a duplicate of any rule in ../mutator.py, rules/mined_rules.py,
or rules/structural_rules.py (read all three).
- Patterns must fire on the corpus: read at least 6 files from
substrates/accepted/ plus problems_batch2.py before writing anything.
A rule that never matches is worthless — prefer patterns built from syntax
you have actually SEEN in those files.
- No rule that changes every output element. Before adding a rule, ask:
"under torch.rand input with aligned shapes, would the output differ by
more than 1%?" If yes, discard it.
## Deliverable
rules/fine_rules.py:
```python
from mutator import Rule
FINE_RULES = [
Rule("name", "category", r"pattern", r"replacement",
"why it survives the original inputs, and what input would kill it"),
...
]
```
30+ rules, categories: boundary | sync | precision | indexing | semantic.
Each note MUST state the survival mechanism (1-4 above) and the killer input.
Verify: every regex compiles, the module imports, and report how many of your
rules actually fire across the corpus (write a small throwaway check, do not
add it to the repo).