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idiom:  spill the water
  H(p)        = 3.8310
  H_u         = 3.9809
  H_s         = 6.0561
  H_u / H(p)  = 1.0391
  H_s / H(p)  = 1.5808
  bound  10.0371 >= 9.0483 >= 3.8310  [ok]

idiom:  call the police
  H(p)        = 4.2933
  H_u         = 4.7204
  H_s         = inf
  H_u / H(p)  = 1.0995
  H_s / H(p)  = inf
  bound  inf >= 9.9729 >= 4.2933  [ok]

idiom:  clear the table
  H(p)        = 4.3686
  H_u         = 4.9022
  H_s         = 5.3324
  H_u / H(p)  = 1.1222
  H_s / H(p)  = 1.2206
  bound  10.2346 >= 10.1235 >= 4.3686  [ok]

idiom:  throw a ball
  H(p)        = 3.9689
  H_u         = 4.2325
  H_s         = inf
  H_u / H(p)  = 1.0664
  H_s / H(p)  = inf
  bound  inf >= 9.3241 >= 3.9689  [ok]

idiom:  get a present
  H(p)        = 4.3021
  H_u         = 4.5358
  H_s         = inf
  H_u / H(p)  = 1.0543
  H_s / H(p)  = inf
  bound  inf >= 9.9905 >= 4.3021  [ok]

idiom:  eat the apple
  H(p)        = 4.3616
  H_u         = 4.8444
  H_s         = inf
  H_u / H(p)  = 1.1107
  H_s / H(p)  = inf
  bound  inf >= 10.1096 >= 4.3616  [ok]

idiom:  break the window
  H(p)        = 4.0394
  H_u         = 4.4628
  H_s         = 5.3343
  H_u / H(p)  = 1.1048
  H_s / H(p)  = 1.3206
  bound  9.7971 >= 9.4650 >= 4.0394  [ok]

idiom:  lose keys
  H(p)        = 5.0285
  H_u         = 5.2808
  H_s         = inf
  H_u / H(p)  = 1.0502
  H_s / H(p)  = inf
  bound  inf >= 11.4434 >= 5.0285  [ok]

idiom:  make lunch
  H(p)        = 4.2644
  H_u         = 4.6332
  H_s         = inf
  H_u / H(p)  = 1.0865
  H_s / H(p)  = inf
  bound  inf >= 9.9150 >= 4.2644  [ok]

idiom:  cut hair
  H(p)        = 4.2337
  H_u         = 4.8858
  H_s         = inf
  H_u / H(p)  = 1.1540
  H_s / H(p)  = inf
  bound  inf >= 9.8537 >= 4.2337  [ok]

idiom:  raise children
  H(p)        = 4.6962
  H_u         = 5.1845
  H_s         = inf
  H_u / H(p)  = 1.1040
  H_s / H(p)  = inf
  bound  inf >= 10.7786 >= 4.6962  [ok]

idiom:  tie knots
  H(p)        = 4.8365
  H_u         = 5.3140
  H_s         = 6.2620
  H_u / H(p)  = 1.0987
  H_s / H(p)  = 1.2947
  bound  11.5760 >= 11.0594 >= 4.8365  [ok]

idiom:  remember details
  H(p)        = 5.7603
  H_u         = 5.9151
  H_s         = inf
  H_u / H(p)  = 1.0269
  H_s / H(p)  = inf
  bound  inf >= 12.9069 >= 5.7603  [ok]

idiom:  turn dials
  H(p)        = 5.5181
  H_u         = 5.9257
  H_s         = inf
  H_u / H(p)  = 1.0739
  H_s / H(p)  = inf
  bound  inf >= 12.4225 >= 5.5181  [ok]

idiom:  build the boat
  H(p)        = 3.5701
  H_u         = 3.8767
  H_s         = inf
  H_u / H(p)  = 1.0859
  H_s / H(p)  = inf
  bound  inf >= 8.5265 >= 3.5701  [ok]

idiom:  lead the meeting
  H(p)        = 5.2138
  H_u         = 5.4298
  H_s         = inf
  H_u / H(p)  = 1.0414
  H_s / H(p)  = inf
  bound  inf >= 11.8138 >= 5.2138  [ok]

idiom:  strike a drum
  H(p)        = 5.6355
  H_u         = 5.6838
  H_s         = inf
  H_u / H(p)  = 1.0086
  H_s / H(p)  = inf
  bound  inf >= 12.6572 >= 5.6355  [ok]

idiom:  see the show
  H(p)        = 5.0175
  H_u         = 5.2615
  H_s         = inf
  H_u / H(p)  = 1.0486
  H_s / H(p)  = inf
  bound  inf >= 11.4212 >= 5.0175  [ok]

bound  H_u + H_s >= 2 H(p) + 2 log 2 >= H(p)  holds for 18/18 phrases

Wrote 18 idiom results to results/sweep/json/qwen3-8b-base__medial__geo__nonidiom.json
