tent, 3-point, pairs (no gate -> flat gate)      APS          CHA        both      flat fun3-6
  none           2806->2807    4104->2635    6910->5442    2707->1238  solved 193 over 0
  none     +G2   2782->2780    3863->2625    6645->5405    2474->1234  solved 193 over 0
  step           3036->3035    3524->2650    6560->5685    2111->1237  solved 193 over 0
  step     +G2   3089->3089    3529->2661    6618->5750    2106->1238  solved 193 over 0
  bracket        7260->7260    3604->3604   10864->10864   1730->1730  solved 193 over 0
  bracket  +G2   6837->6837    3650->3650   10487->10487   1717->1717  solved 193 over 0
  both           7239->7239    3515->3515   10754->10754   1529->1529  solved 193 over 0
  both     +G2   7130->7130    3463->3463   10593->10593   1504->1504  solved 193 over 0
  project        2806->2807    3220->2635    6026->5442    1823->1238  solved 193 over 0
  project  +G2   2782->2780    3169->2625    5951->5405    1780->1234  solved 193 over 0
  safe           3036->3035    3390->2650    6426->5685    1977->1237  solved 193 over 0
  safe     +G2   3089->3089    3392->2661    6481->5750    1969->1238  solved 193 over 0
  credit         3568->3568    3020->2960    6588->6528    1044->1014  solved 193 over 0
  credit   +G2   3799->3799    3064->3034    6863->6833    1044->1014  solved 193 over 0

VERDICTS
  proposed rule        APS 2806->2807 (Z2 ✗)  CHA 3220->2635 (Z1 ✓)  Z3 ✓ (0 viol, 0 cells <193)  Z4 ✓  both 5442  vs Chandrupatla APS 87/24/42 p=9.2e-05   not accepted
  proposed rule + G2   APS 2782->2780 (Z2 ✓)  CHA 3169->2625 (Z1 ✓)  Z3 ✓ (0 viol, 0 cells <193)  Z4 ✓  both 5405  vs Chandrupatla APS 95/20/38 p=8.2e-07   ACCEPTED

nine functions, projection, no gate -> flat gate, both sets:
  cbrt         18003 ->  17853
  cosine       19741 ->  18885
  exp_abs       6652 ->   5969
  exp_sq       19786 ->  18877
  rat_sq       19793 ->  18873
  ratio         6026 ->   5442
  ratio_soft    9352 ->   9002
  rational      6823 ->   6177
  sqrt         13388 ->  13212
flatanalog.ratio.derived3.project              APS vs Chandrupatla 87/24/42 p=9.2e-05
flatanalog.ratio.derived3.project              CHA vs Chandrupatla 9/6/25 p=0.009
pure+extP+flatanalog.ratio.derived3.project    APS vs Chandrupatla 95/20/38 p=8.2e-07
pure+extP+flatanalog.ratio.derived3.project    CHA vs Chandrupatla 9/6/25 p=0.009
