Revision 3: exact-zero stop in section 4; Table 12 with the post hoc Lagouanelle variant (branch m>=2: corpus 4 5568, six corpora 18372, multiple/fractional 6540, APS 2960; A' 178/34/28), the controls' missing exit in its caption; the reading of Table 12 restated in 7.1, 6.6 and the conclusion - the analogy order transfers to the classical frame and works better there than in A's split (2809 vs 4042 on multiple roots), and A's layer as a whole (detector with exit) earns its place (+1233 vs -3934). Server: verify 548 OK / 0 BAD, regression x2 1239 passed, PDF 32 pages, 0 errors, 0 overfull.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

tests/test_transformed.py

@@ -23,6 +23,15 @@ def test_without_an_estimate_it_is_chandrupatla_bit_for_bit():
     assert not bad, bad[:5]
 
 
+def test_the_post_hoc_branch_never_holds_a_fractional_order():
+    """POSTHOC_lag_branch_2026-09-22: 'lag2' takes only readings m >= 2."""
+    for s, pid, f, a, b, _r in PROBS:
+        st = {}
+        x, n, ok = chandrupatla_transformed(f, a, b, 1e-12, 200, estimator="lag2", stats=st)
+        assert min(a, b) <= x <= max(a, b), pid
+        assert st.get("m_hat", 1.0) == 1.0 or st["m_hat"] >= 2.0, (pid, st)
+
+
 @pytest.mark.parametrize("estimator", ("lag", "analogy"))
 def test_with_an_estimate_it_still_brackets(estimator):
     for s, pid, f, a, b, _r in PROBS: