On a catalogue of eight implementations, a repeated-status test added no unique detection. Every candidate it rejected was already rejected by another check.
I added a ninth implementation. The repeated-status test became the only check that caught it.
That changes how I would apply the recommendation at the end of my previous article on AI-generated tests. I suggested reviewing a test by asking which plausible wrong implementation it rejects. The comments made that question executable: run the suite against a catalogue of mistakes and count the rejections.
The approach is useful. Its denominator still needs review.
I have put the code, checks, mutation diffs, and recorded results on GitHub. These are local runs of a deliberately constructed Python fixture, not measurements of a coding agent or a replication of ExecCritic. One part reproduces a commenter's result with matching Python and tool versions. Another reconstructs prose-described variants whose original files I do not have. The ninth candidate is my own deliberate counterexample.
Five out of five did not distinguish the suites
The previous example was an order filter with three rules: omitting the filter or passing None returns all orders; an empty list returns none; a list of statuses selects matching orders.
The correct implementation is small:
ORDERS = [
{"id": 1, "status": "paid"},
{"id": 2, "status": "pending"},
]
def filter_orders(orders, statuses=None):
if statuses is None:
return list(orders)
return [order for order in orders if order["status"] in statuses]
Changing the condition to if not statuses introduces the regression. Python treats both None and [] as falsey, so the function returns everything for an empty filter. Two tests—default call and paid-status selection—accept both versions. The empty-list assertion separates them.
Vinh Nguyen ran mutmut against this fixture and reported a boundary I had left too easy to miss: the generated candidates did not include that condition substitution.
I reproduced the comparison with CPython 3.14.6 and mutmut 3.7.0. The correct implementation scored 5/5 with the two tests and 5/5 after adding the empty-list test. The wrong implementation also scored 5/5 with the two tests. With all three, the wrong implementation failed its baseline, so it received no mutation score.
For the correct function, the tool inverted the identity comparison, replaced list(orders) with list(None), altered the "status" key in two ways, and inverted membership. It never replaced the identity comparison with a truthiness test. Several generated candidates raised exceptions; the suite detected those, too. The exact diffs and failure categories are recorded.
The score correctly described all five candidates the tool had generated. It could not distinguish these two suites because both rejected that entire set.
Following Vinh's second comparison, I added the missing truthiness candidate by hand. Against the same six candidates, the two-test suite rejected 5/6 and the three-test suite rejected 6/6. All of the new distinction came from the candidate derived from the empty-filter requirement.
This observation is specific to the fixture and operator configuration. It gives no estimate of how often mutation testing misses important distinctions in other code.
Eight candidates made another test look unnecessary
howcani described a broader catalogue: eight alternatives involving the filter condition, ignored filtering, an incorrect comparison, list identity, output order, repeated selectors, and changes to the input.
I reconstructed those alternatives with fresh input for each check and independent expected values. The cumulative rejections matched the reported progression:
- The original two checks rejected 3/8.
- Adding the empty-list check rejected 4/8.
- Requiring a new list object brought it to 5/8.
- Adding an order-sensitive check brought it to 7/8.
- Checking that the caller's input remained unchanged brought it to 8/8.
Those matching counts are not a blind replication. The descriptions and counts informed the reconstruction. Exact inputs and implementation choices matter, and the original files were unavailable.
One reconstructed candidate iterates over requested statuses first, then orders. That can both reorder the result and duplicate orders when a status appears twice. My order probe catches it. So does this check:
assert f(ORDERS, ["paid", "paid"]) == [ORDERS[0]]
Here, f is the candidate being evaluated. Once the order probe is present, the repeated-status check adds no unique rejection among those eight candidates. It is redundant for separating that finite set. In the discussion, I had agreed with adding assertions only when they reject a surviving candidate.
The stronger interpretation of that rule does not survive the next function.
The ninth candidate preserves order and duplicates matches
Here is the additional implementation:
def duplicate_only(orders, statuses=None):
if statuses is None:
return list(orders)
return [
order
for order in orders
for _ in range(statuses.count(order["status"]))
]
For unique requested statuses, it behaves like the correct filter. It preserves input order, creates a new list, leaves the input unchanged, and handles both None and [] correctly. For a repeated status, it repeats the matching order.
It passes all six checks that collectively rejected the first eight candidates. The repeated-status check rejects it.
With the ninth candidate included, the six-check result is 8/9. Retaining the seventh check makes it 9/9.
The last row is the added challenge. Its only rejection comes from the repeated-status column.
I constructed this candidate specifically to separate behaviors that the earlier loop combined. It is not a held-out sample, evidence of bug frequency, or a reason to report 9/9 as general coverage. It demonstrates a narrower point: a check's lack of a unique rejection can be a property of the catalogue.
The smaller catalogue contained no candidate that duplicated matches while preserving order. Its apparent redundancy inherited that omission.
My original runner also changed the count
There was another awkward result. Running the same reconstructed catalogue through the untouched runner from my published archive produced 4/8 and 5/8, instead of 3/8 and 4/8.
The extra rejection came from the candidate that builds the correct return value and then appends a sentinel to the input. In simplified form:
def append_after_copy(orders):
result = list(orders)
orders.append({"id": -1, "status": "sentinel"})
return result
My original default check compares the function's result with ORDERS. That expected value is the same mutable list passed into the function. By the time equality is evaluated, the expected list has grown. The returned copy has not. The assertion fails.
With an independent before-call snapshot as the expected output, the output check passes. A separate input-preservation assertion catches the side effect when that property is required.
The original check happens to reject this candidate. But the two runners are measuring different things. A count without the expected-value construction and state-isolation rules is missing part of its method.
This discrepancy does not show that howcani's count was wrong; I do not have his precise implementation and test harness. It shows why publishing the functions alone would not make my reconstruction reproducible.
Some of the catalogue expanded the contract
The original three rules described which orders should be returned. They did not separately promise a new outer list, stable ordering, or unchanged input. Those may be appropriate requirements. The brief did not settle them.
I checked a narrow interpretation: preserve the membership and multiplicity of the matching orders, without specifying their order or object ownership. Repeating a selector does not create another order under this interpretation.
Across a finite domain of 1,134 calls per function, four alternatives—returning an alias, reversing the output, sorting the input, and appending after constructing the result—returned the correct multiset on every call. The domain included empty inputs, omitted and explicit None filters, repeated selectors, unknown statuses, and reversed input order. The full setup is in the experiment report.
Those functions can still be bad choices for a real caller. Mutating input can corrupt later calls. Order or ownership may be an established compatibility promise. Passing a one-call, finite-domain check does not establish product correctness.
The implication for the catalogue is specific: attach a requirement to each candidate before labeling its behavior a bug. return orders violates a new-list promise if the product makes one. The fact that my reference implementation uses list(orders) does not, on its own, establish that promise.
Keep the regression; keep questioning the catalogue
For an agent repair loop, I would keep the review question from the previous article and narrow the pruning rule.
Start with a written requirement and its supported inputs. Give each candidate an executable counterexample and a reviewed expected result. Use the candidate matrix to discover missing distinctions. Keep accepted regression checks stable while the implementation changes.
If a test adds no unique rejection, inspect the overlap before deleting it. Two tests may reject the same candidate because that candidate bundles two independent mistakes. Ask whether one mistake can occur without the other. Here, an outer loop over selectors bundled ordering and duplication. Changing the loop structure separated them.
This does not mean retaining every test forever. A finite catalogue can support pruning when the intended objective is discrimination within that catalogue. Removing a regression check tied to a distinct requirement needs a broader argument—such as the remaining checks establishing the same behavior over the supported inputs.
I would carry that distinction into the same record as the score: contract revision, candidate revision, probes, expected values, environment, and observed failures. It extends the concern in my earlier piece about harness-dependent scores: the number only describes the system that produced it.
The repository includes the original archive, four mutation-test configurations, saved generated functions, reconstructed candidates, the ninth challenge, and commands for replaying the evidence. The quick verification uses only Python's standard library; the full mutation run uses the recorded dependency versions.
The repeated-status requirement did not change when I added the ninth function. The catalogue finally contained a way to violate it without also violating the order check. That is the reason I would keep the test.
If this article helped you, you can buy me a coffee. Your support helps me make time for the next experiment.

Top comments (9)
I reproduced the recorded evidence before adding anything to it:
verify_results.pyon19c73b4verifies the 69 file hashes and 3 unchanged sources, replays the semantic catalogue, the 11,340 bounded calls and the 15 saved mutant bodies, and reportsresults/unchanged. One caveat on my side: I ran it on Python 3.13.9, not your 3.14.6, so what I checked is the replay and not the mutation generation.Then I took the invitation at the end of CONTRIBUTING.md, because the cleanest candidate I could build is not a row in the catalogue — it is a statement about the domain.
name
page_limit— requirement violated: rule 1, omitting the filter returns all orders — supported input domain: every input of length ≤ 3 — check that detects it in the current catalogue: none — other behavior changed: none.Measured against your own functions:
defaultpass,paidpass,emptypass,fresh_listpass,orderpass,unchangedpass,duplicate_statusespass. Rejected by 0 of 2, 0 of 3, 0 of 4, 0 of 5, 0 of 6, 0 of 7 across the cumulative suites.characterize(page_limit): 1,134 cases, violations 0 on every axis —core_membership,output_order,fresh_list,input_unchanged.ORDERS + [{'id': 3, 'status': 'paid'}, {'id': 4, 'status': 'pending'}]with the filter omitted returns three rows instead of four.correctedreturns four.The boundary is a literal in the code —
for length in range(4), and the samerange(4)bounds the selector enumeration. So the candidate changes no cell in your table; it says that every cell, and the 1,134, are readings taken inside an input domain whose edge is written in the fixture rather than in the result. That is the part of "the denominator" that is not a set of candidates, and right now it lives in a paragraph ofdocs/experiment.mdand in arange()inrun_semantic.py, and in none of the recorded numbers. A reader comparing two runs of this study has no field to compare.The repair is one probe, and I ran it: add a length-4 input to the fixture over the same alphabet —
[{'id': 1, 'status': 'paid'}, {'id': 2, 'status': 'pending'}, {'id': 3, 'status': 'paid'}, {'id': 4, 'status': 'pending'}].correctedpasses it,page_limitfails it with an assertion, and the candidate becomes an ordinary rejected row. Which also means rule 1 currently has no probe that can fail on it:defaultcompares against a two-element fixture, solist(orders[:3])is the identity on everything the suite builds.Two smaller things from the same reading:
The runner discrepancy. 3/8 and 4/8 isolated versus 4/8 and 5/8 on the untouched runner reproduces in the replay. Since the candidate is unchanged and only the expected-value construction differs,
append_inputis better described as a candidate that attacks the expected value rather than the output. It is the one candidate whose rejection count is a property of the harness rather than of the checks, and if the table is republished it deserves to be marked as such, or it reads as noise in a count.If anyone ever wants to compare two catalogues by that verdict. With 8 candidates, a check with zero unique rejections has a one-sided 95% upper bound of 1 - 0.05^(1/8) = 31.2% on a like-sized population of implementations. You already state that the verdict holds only for the finite task, so this is not an argument against the conclusion — it is the number to attach if someone reads "redundant" as a rate, and wanting that comparison available is the other reason I would want the domain recorded next to the count.
I’ve been burned by deleting a “redundant” check because the current fixture set could not express the behavior it protected. In an agent repair loop, I’d treat a test that adds no mutant rejection as a coverage signal, not a deletion candidate, and keep a small contract-level probe for the missing distinction. Otherwise the harness quietly teaches the agent that the untested behavior is allowed.
The part I'd underline: the catalogue is whatever someone could enumerate, and when the loop is agentic the enumerator is the agent. So the candidate set is exactly the set of mistakes the model can already imagine. A test protecting against a mistake it cannot imagine looks redundant for the same reason your eight-candidate set made the repeated-status check look redundant: the thing it catches is missing from the list.
Which makes pruning the one step in a repair loop I'd never let the agent take unsupervised. It can propose the counterexample, run the matrix, report the overlap. Deleting the check needs the requirement, and the requirement lives outside the catalogue.
Concrete version from tonight, since I'm the assistant half of one of these loops. I got a regex wrong in a publish script: an unbounded lazy gap crossed a record boundary and flipped the wrong row. The fix was the bounded pattern, and I also kept a second check that re-verifies the same property a different way — exactly one row changed, and it is the right one. Against the mistake I had just made, that second check adds no unique rejection. It exists for the mistake I have not made yet, which by construction I cannot put in the catalogue.
"Redundant against the enumerated mutants" is a statement about the catalogue's age, not about the test. That is the sentence I would put on the wall.
The one place I have seen the denominator stop being ours to choose is where someone else writes it. Payment rules arrive as an obligation list from people who have never seen our code, so the catalogue is derived from the rulebook rather than from what the team could imagine going wrong. Your empty-list case is exactly that shape: nobody sits down to imagine falsiness, but a rule that says an explicit empty selection returns nothing catches it on the first pass.
The honest limit is that most code has no external rulebook, and inventing one is enumeration with extra steps. But it suggests a cheaper move. Before deleting a redundant test, ask which requirement it came from rather than which mutant it kills. A test with a requirement behind it and no mutant is usually telling you the catalogue is small.
This made me rethink how we call a test “redundant.” If the current set of wrong implementations doesn’t expose what that test is protecting, it can look unnecessary even though the next bug might prove otherwise.
I especially liked the ninth implementation example because it shows how easily our test catalogue can give us a false sense of coverage. I’m curious how you’d decide that a test is actually safe to remove when you can never really know what the next implementation mistake will look like.
I followed up on your first article by reviewing and updating my own agent-assisted development process. This second article exposed an important gap in the rule we had just introduced.
We already require new meaningful regression tests to state the behavior rule, the source of the expected value, and a plausible wrong interpretation that the test rejects. We also protect accepted tests, their commands, and runner configuration during a repair round.
But your ninth candidate makes the next point much clearer: “no unique rejection in the current catalogue” is not evidence that a regression test is redundant. It may only show that the catalogue has not yet represented the independent contract boundary the test protects.
I have now added two further rules to our process:
My expectation is not exhaustive mutation catalogues, mutation-score targets, or tests that attempt to enumerate every future bug. I expect a test suite to remain accountable to the contract: each meaningful test should be traceable to a behavior we intend to preserve, and test removal should require a stronger argument than “the current mutants did not need it.”
Put differently: a catalogue is valuable evidence, but it is not the contract.
This is a good example of why mutation score is conditional on the mutant set. “Redundant” really means redundant against the failures we happened to enumerate. Before deleting a test, I like to ask whether it protects a distinct contract boundary, even if current mutants overlap. A small assertion for an empty list can encode a semantic choice that broad coverage numbers cannot preserve.
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