PREREG_half_contra outcome: ACCEPTED (server = smoke in every projection cell; 0 violations in the guaranteed family).

'half': the step promises the root in the half near x (S >= 1/2) while the bracket line puts it in the far half (smaller |f| at the far end) -> halve.
  half alone                                  APS 2806 -> 2564 (!)  CHA 3220 -> 3202
  G2 + contra + rem + point + exp + half      APS 2773 -> 2559  CHA 2073 -> 2047  both 4606 (all of H1-H4; goal kept)
     per problem vs Chandrupatla: APS 98/17/38 p=2.7e-7, CHA 27/6/7 p=8e-4
  contra + rem + point + exp + half (no G2)   APS 2551  CHA 2044  both 4595 (H2 fails by 24)
  with defect it does not combine (APS 2531 -> 2651): the two refuse overlapping steps.
fun9: 77 -> 68 (Chandrupatla 55); fun9.5 24 -> 16.
Server regression x2: 1204 passed, 1 failed = the paper-number check.

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

table_wins_losses.py

@@ -24,6 +24,7 @@ def main():
     dc = load("sweep_defcontra.json")
     op = load("sweep_orderpt.json")
     ex = load("sweep_explimit.json")
+    hf = load("sweep_half.json")
     rivals = {"Chandrupatla": full["chandrupatla"], "Brent": full["brent"],
               "TOMS748": full["toms748"]}
     ours = {
@@ -37,6 +38,9 @@ def main():
         "+ defect + rem. + ORDER POINT": op["defect+flatanalogmempt.ratio.derived3.project"],
         "+ G2 + contra + rem. + pt + EXP": ex["pure+extP+contra+flatanalogmempt+exp.ratio.derived3.project"],
         "+ defect + rem. + pt + EXP": ex["defect+flatanalogmempt+exp.ratio.derived3.project"],
+        "+ half (alone)": hf["half.ratio.derived3.project"],
+        "+ G2 + contra + rem + pt + exp + HALF": hf["pure+extP+contra+flatanalogmempt+exp+half.ratio.derived3.project"],
+        "+ contra + rem + pt + exp + HALF": hf["contra+flatanalogmempt+exp+half.ratio.derived3.project"],
     }
     print("TOTALS (evaluations of f, failures charged 200)")
     print(f"  {'method':<32} {'APS':>6} {'CHA':>6} {'both':>6}")