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idiom:  spill the water
  H(p)        = 70.4325
  H_u         = 70.7548
  H_s         = inf
  H_u / H(p)  = 1.0046
  H_s / H(p)  = inf
  bound  inf >= 142.2513 >= 70.4325  [ok]

idiom:  call the police
  H(p)        = 56.0024
  H_u         = 59.9836
  H_s         = inf
  H_u / H(p)  = 1.0711
  H_s / H(p)  = inf
  bound  inf >= 113.3910 >= 56.0024  [ok]

idiom:  clear the table
  H(p)        = 62.1322
  H_u         = 64.2344
  H_s         = inf
  H_u / H(p)  = 1.0338
  H_s / H(p)  = inf
  bound  inf >= 125.6506 >= 62.1322  [ok]

idiom:  throw a ball
  H(p)        = 65.9650
  H_u         = 66.6863
  H_s         = inf
  H_u / H(p)  = 1.0109
  H_s / H(p)  = inf
  bound  inf >= 133.3163 >= 65.9650  [ok]

idiom:  get a present
  H(p)        = 64.0269
  H_u         = 65.3492
  H_s         = inf
  H_u / H(p)  = 1.0207
  H_s / H(p)  = inf
  bound  inf >= 129.4402 >= 64.0269  [ok]

idiom:  eat the apple
  H(p)        = 65.4969
  H_u         = 66.3884
  H_s         = inf
  H_u / H(p)  = 1.0136
  H_s / H(p)  = inf
  bound  inf >= 132.3801 >= 65.4969  [ok]

idiom:  break the window
  H(p)        = 63.6291
  H_u         = 66.1147
  H_s         = inf
  H_u / H(p)  = 1.0391
  H_s / H(p)  = inf
  bound  inf >= 128.6445 >= 63.6291  [ok]

idiom:  lose keys
  H(p)        = 69.4901
  H_u         = 69.9032
  H_s         = inf
  H_u / H(p)  = 1.0059
  H_s / H(p)  = inf
  bound  inf >= 140.3665 >= 69.4901  [ok]

idiom:  make lunch
  H(p)        = 57.9255
  H_u         = 58.9603
  H_s         = inf
  H_u / H(p)  = 1.0179
  H_s / H(p)  = inf
  bound  inf >= 117.2372 >= 57.9255  [ok]

idiom:  cut hair
  H(p)        = 62.1064
  H_u         = 64.2968
  H_s         = inf
  H_u / H(p)  = 1.0353
  H_s / H(p)  = inf
  bound  inf >= 125.5990 >= 62.1064  [ok]

idiom:  raise children
  H(p)        = 63.0995
  H_u         = 65.0129
  H_s         = inf
  H_u / H(p)  = 1.0303
  H_s / H(p)  = inf
  bound  inf >= 127.5854 >= 63.0995  [ok]

idiom:  tie knots
  H(p)        = 66.7942
  H_u         = 68.2626
  H_s         = inf
  H_u / H(p)  = 1.0220
  H_s / H(p)  = inf
  bound  inf >= 134.9747 >= 66.7942  [ok]

idiom:  remember details
  H(p)        = 55.0481
  H_u         = 55.1385
  H_s         = inf
  H_u / H(p)  = 1.0016
  H_s / H(p)  = inf
  bound  inf >= 111.4826 >= 55.0481  [ok]

idiom:  turn dials
  H(p)        = 69.3639
  H_u         = 70.8711
  H_s         = inf
  H_u / H(p)  = 1.0217
  H_s / H(p)  = inf
  bound  inf >= 140.1140 >= 69.3639  [ok]

idiom:  build the boat
  H(p)        = 56.2608
  H_u         = 58.5481
  H_s         = inf
  H_u / H(p)  = 1.0407
  H_s / H(p)  = inf
  bound  inf >= 113.9080 >= 56.2608  [ok]

idiom:  lead the meeting
  H(p)        = 59.5685
  H_u         = 60.0128
  H_s         = inf
  H_u / H(p)  = 1.0075
  H_s / H(p)  = inf
  bound  inf >= 120.5233 >= 59.5685  [ok]

idiom:  strike a drum
  H(p)        = 61.7028
  H_u         = 62.1012
  H_s         = inf
  H_u / H(p)  = 1.0065
  H_s / H(p)  = inf
  bound  inf >= 124.7920 >= 61.7028  [ok]

idiom:  see the show
  H(p)        = 60.4304
  H_u         = 61.3628
  H_s         = inf
  H_u / H(p)  = 1.0154
  H_s / H(p)  = inf
  bound  inf >= 122.2472 >= 60.4304  [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__full__joint__nonidiom.json
