vvsandClaude Opus 5
de1f8f726d
Found on the way: negative item 'log change of variable' compared 3474 with 4516, the total of a DIFFERENT configuration; the honest pair is the same configuration in x, CHA 3643 -> 3474, APS 5822 -> 6940. Fixed in both texts. The gap-decomposition numbers were only traced to saved logs; they are now RECOMPUTED by verify_article.py from fresh runs of the diagnosis scripts (which return their values): 216 checks OK on Linux, 762 tests pass twice. Open, for Valeri: the .md still says the projection's doubling is 'not a tuning constant', which simroot/pure.py (project_credit) refutes and which is why the .tex proposes credit; the .md's Tables 2-3 predate Chandrupatla's own method as a baseline (2785 APS, first place), so its 'parity' abstract is out of date; Brent 2890/4101 in the .md against 2889/4099 in the current sweep. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
70 lines
2.7 KiB
Python
70 lines
2.7 KiB
Python
"""Is the flat regime DETECTABLE from evaluations already paid for?
|
|
|
|
Established by diag_model_order.py and its checks: two thirds of the wide-bracket gap sit
|
|
on the flat families (fun3-fun6), where Chandrupatla bisects 93-100% of his steps and our
|
|
step removes 0.41-0.81 halvings of the bracket per evaluation - less than bisection's 1.
|
|
|
|
On an approach |f| ~ K e^m the tangent step lands at e(1 - 1/m): it beats bisection's
|
|
halving only while 1 - 1/m < 1/2, i.e. m < 2. The 2 is bisection's 1/2 rewritten, not a
|
|
chosen number. m is what _local_order reads from the three latest evaluations.
|
|
|
|
Question measured here, BEFORE anything is built: does "m >= 2" separate the states of
|
|
the flat families from the states of the canonical set? _local_order is known to fire
|
|
falsely (derived3_m: m > 1 on 27.9% of APS steps, excursions to 34.8), so the separation
|
|
is the whole question. If APS states cross m >= 2 about as often as flat ones, the regime
|
|
is NOT detectable this way and no gate may be built on it.
|
|
|
|
python -u diag_flat_detectable.py
|
|
"""
|
|
from __future__ import annotations
|
|
|
|
from collections import defaultdict
|
|
|
|
from scipy.optimize._tstutils import _APS_TESTS_DICTS, _CHANDRUPATLA_TESTS_DICTS
|
|
|
|
from diag_model_order import ACC, MAXFEV, OURS, XTOL
|
|
from simroot.pure import _local_order, pure_root
|
|
|
|
FLAT = ("fun3", "fun4", "fun5", "fun6")
|
|
|
|
|
|
def states(f, a, b, r):
|
|
st = {"trace": []}
|
|
x, _n, conv = pure_root(f, a, b, XTOL, MAXFEV, stats=st, **OURS)
|
|
if not (conv and abs(float(x) - r) <= ACC):
|
|
return []
|
|
out = []
|
|
for s in st["trace"]:
|
|
if s["xp2"] is None:
|
|
continue
|
|
out.append(_local_order(s["x"], s["fx"], s["xp"], s["fp"], s["xp2"], s["fp2"]))
|
|
return out
|
|
|
|
|
|
def main():
|
|
groups = defaultdict(list)
|
|
for d in _APS_TESTS_DICTS:
|
|
a, b = (float(v) for v in d["bracket"])
|
|
f = (lambda ff, aa: lambda t: ff(t, *aa))(d["f"], d.get("args", ()))
|
|
groups["APS (canonical)"] += states(f, a, b, float(d["root"]))
|
|
for d in _CHANDRUPATLA_TESTS_DICTS:
|
|
a, b = (float(v) for v in d["bracket"])
|
|
fam = str(d["ID"]).split(".")[0]
|
|
key = "CHA flat fun3-6" if fam in FLAT else "CHA other"
|
|
groups[key] += states(d["f"], a, b, float(d["root"]))
|
|
|
|
print(f"{'group':<18} {'states':>7} {'m > 1':>8} {'m >= 2':>8}")
|
|
shares = {}
|
|
for k in ("APS (canonical)", "CHA other", "CHA flat fun3-6"):
|
|
ms = groups[k]
|
|
n = max(len(ms), 1)
|
|
gt1 = 100.0 * sum(m > 1.0 for m in ms) / n
|
|
ge2 = 100.0 * sum(m >= 2.0 for m in ms) / n
|
|
shares[k] = (len(ms), gt1, ge2)
|
|
print(f"{k:<18} {len(ms):7d} {gt1:7.1f}% {ge2:7.1f}%")
|
|
return shares # for verify_article.py
|
|
|
|
|
|
if __name__ == "__main__":
|
|
main()
|