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idiom:  spill the beans
  H(p)        = 56.6166
  H_u         = 64.9785
  H_s         = inf
  H_u / H(p)  = 1.1477
  H_s / H(p)  = inf
  bound  inf >= 114.6195 >= 56.6166  [ok]

idiom:  call the shots
  H(p)        = 51.8565
  H_u         = 59.9725
  H_s         = inf
  H_u / H(p)  = 1.1565
  H_s / H(p)  = inf
  bound  inf >= 105.0992 >= 51.8565  [ok]

idiom:  clear the air
  H(p)        = 59.1815
  H_u         = 65.7746
  H_s         = inf
  H_u / H(p)  = 1.1114
  H_s / H(p)  = inf
  bound  inf >= 119.7492 >= 59.1815  [ok]

idiom:  have a ball
  H(p)        = 56.8973
  H_u         = 61.7416
  H_s         = inf
  H_u / H(p)  = 1.0851
  H_s / H(p)  = inf
  bound  inf >= 115.1809 >= 56.8973  [ok]

idiom:  get the sack
  H(p)        = 58.9753
  H_u         = 62.5110
  H_s         = inf
  H_u / H(p)  = 1.0600
  H_s / H(p)  = inf
  bound  inf >= 119.3368 >= 58.9753  [ok]

idiom:  bite the dust
  H(p)        = 58.7131
  H_u         = 67.3883
  H_s         = inf
  H_u / H(p)  = 1.1478
  H_s / H(p)  = inf
  bound  inf >= 118.8124 >= 58.7131  [ok]

idiom:  break the mold
  H(p)        = 53.3031
  H_u         = 62.7322
  H_s         = inf
  H_u / H(p)  = 1.1769
  H_s / H(p)  = inf
  bound  inf >= 107.9926 >= 53.3031  [ok]

idiom:  lose ground
  H(p)        = 56.8273
  H_u         = 61.9707
  H_s         = inf
  H_u / H(p)  = 1.0905
  H_s / H(p)  = inf
  bound  inf >= 115.0409 >= 56.8273  [ok]

idiom:  make waves
  H(p)        = 57.8370
  H_u         = 59.9821
  H_s         = inf
  H_u / H(p)  = 1.0371
  H_s / H(p)  = inf
  bound  inf >= 117.0602 >= 57.8370  [ok]

idiom:  cut corners
  H(p)        = 49.4818
  H_u         = 58.0839
  H_s         = inf
  H_u / H(p)  = 1.1738
  H_s / H(p)  = inf
  bound  inf >= 100.3499 >= 49.4818  [ok]

idiom:  raise hell
  H(p)        = 59.4137
  H_u         = 62.6002
  H_s         = inf
  H_u / H(p)  = 1.0536
  H_s / H(p)  = inf
  bound  inf >= 120.2137 >= 59.4137  [ok]

idiom:  pull strings
  H(p)        = 59.8587
  H_u         = 64.7706
  H_s         = inf
  H_u / H(p)  = 1.0821
  H_s / H(p)  = inf
  bound  inf >= 121.1036 >= 59.8587  [ok]

idiom:  mean business
  H(p)        = 52.0365
  H_u         = 55.5459
  H_s         = inf
  H_u / H(p)  = 1.0674
  H_s / H(p)  = inf
  bound  inf >= 105.4593 >= 52.0365  [ok]

idiom:  turn tail
  H(p)        = 61.6924
  H_u         = 67.6109
  H_s         = inf
  H_u / H(p)  = 1.0959
  H_s / H(p)  = inf
  bound  inf >= 124.7710 >= 61.6924  [ok]

idiom:  rock the boat
  H(p)        = 46.9836
  H_u         = 52.6485
  H_s         = inf
  H_u / H(p)  = 1.1206
  H_s / H(p)  = inf
  bound  inf >= 95.3535 >= 46.9836  [ok]

idiom:  lead the field
  H(p)        = 51.8955
  H_u         = 56.7264
  H_s         = 51.9934
  H_u / H(p)  = 1.0931
  H_s / H(p)  = 1.0019
  bound  108.7197 >= 105.1774 >= 51.8955  [ok]

idiom:  strike a chord
  H(p)        = 47.9936
  H_u         = 58.3521
  H_s         = 47.9989
  H_u / H(p)  = 1.2158
  H_s / H(p)  = 1.0001
  bound  106.3510 >= 97.3735 >= 47.9936  [ok]

idiom:  run the show
  H(p)        = 56.6468
  H_u         = 59.5199
  H_s         = inf
  H_u / H(p)  = 1.0507
  H_s / H(p)  = inf
  bound  inf >= 114.6799 >= 56.6468  [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__idiom.json
