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idiom:  spill the beans
  H(p)        = 58.7397
  H_u         = 66.7057
  H_s         = 58.7448
  H_u / H(p)  = 1.1356
  H_s / H(p)  = 1.0001
  bound  125.4505 >= 118.8656 >= 58.7397  [ok]

idiom:  call the shots
  H(p)        = 50.5529
  H_u         = 59.8466
  H_s         = 50.5680
  H_u / H(p)  = 1.1838
  H_s / H(p)  = 1.0003
  bound  110.4146 >= 102.4921 >= 50.5529  [ok]

idiom:  clear the air
  H(p)        = 55.8956
  H_u         = 65.4253
  H_s         = 55.8973
  H_u / H(p)  = 1.1705
  H_s / H(p)  = 1.0000
  bound  121.3225 >= 113.1775 >= 55.8956  [ok]

idiom:  have a ball
  H(p)        = 53.2698
  H_u         = 59.4741
  H_s         = inf
  H_u / H(p)  = 1.1165
  H_s / H(p)  = inf
  bound  inf >= 107.9260 >= 53.2698  [ok]

idiom:  get the sack
  H(p)        = 60.3954
  H_u         = 62.8879
  H_s         = inf
  H_u / H(p)  = 1.0413
  H_s / H(p)  = inf
  bound  inf >= 122.1770 >= 60.3954  [ok]

idiom:  bite the dust
  H(p)        = 58.4462
  H_u         = 68.8190
  H_s         = 58.5859
  H_u / H(p)  = 1.1775
  H_s / H(p)  = 1.0024
  bound  127.4049 >= 118.2788 >= 58.4462  [ok]

idiom:  break the mold
  H(p)        = 54.9061
  H_u         = 64.2000
  H_s         = inf
  H_u / H(p)  = 1.1693
  H_s / H(p)  = inf
  bound  inf >= 111.1985 >= 54.9061  [ok]

idiom:  lose ground
  H(p)        = 57.7360
  H_u         = 63.3456
  H_s         = inf
  H_u / H(p)  = 1.0972
  H_s / H(p)  = inf
  bound  inf >= 116.8584 >= 57.7360  [ok]

idiom:  make waves
  H(p)        = 56.8937
  H_u         = 59.9528
  H_s         = inf
  H_u / H(p)  = 1.0538
  H_s / H(p)  = inf
  bound  inf >= 115.1737 >= 56.8937  [ok]

idiom:  cut corners
  H(p)        = 50.1505
  H_u         = 58.3508
  H_s         = inf
  H_u / H(p)  = 1.1635
  H_s / H(p)  = inf
  bound  inf >= 101.6873 >= 50.1505  [ok]

idiom:  raise hell
  H(p)        = 59.5071
  H_u         = 64.1624
  H_s         = 59.5698
  H_u / H(p)  = 1.0782
  H_s / H(p)  = 1.0011
  bound  123.7322 >= 120.4005 >= 59.5071  [ok]

idiom:  pull strings
  H(p)        = 57.3824
  H_u         = 63.4485
  H_s         = inf
  H_u / H(p)  = 1.1057
  H_s / H(p)  = inf
  bound  inf >= 116.1510 >= 57.3824  [ok]

idiom:  mean business
  H(p)        = 50.9223
  H_u         = 55.5949
  H_s         = inf
  H_u / H(p)  = 1.0918
  H_s / H(p)  = inf
  bound  inf >= 103.2308 >= 50.9223  [ok]

idiom:  turn tail
  H(p)        = 58.2357
  H_u         = 66.8801
  H_s         = inf
  H_u / H(p)  = 1.1484
  H_s / H(p)  = inf
  bound  inf >= 117.8576 >= 58.2357  [ok]

idiom:  rock the boat
  H(p)        = 46.6490
  H_u         = 54.7067
  H_s         = 46.6529
  H_u / H(p)  = 1.1727
  H_s / H(p)  = 1.0001
  bound  101.3596 >= 94.6843 >= 46.6490  [ok]

idiom:  lead the field
  H(p)        = 50.1646
  H_u         = 55.6578
  H_s         = 50.1859
  H_u / H(p)  = 1.1095
  H_s / H(p)  = 1.0004
  bound  105.8437 >= 101.7156 >= 50.1646  [ok]

idiom:  strike a chord
  H(p)        = 49.5980
  H_u         = 59.2207
  H_s         = 49.6095
  H_u / H(p)  = 1.1940
  H_s / H(p)  = 1.0002
  bound  108.8302 >= 100.5822 >= 49.5980  [ok]

idiom:  run the show
  H(p)        = 54.5450
  H_u         = 59.0813
  H_s         = inf
  H_u / H(p)  = 1.0832
  H_s / H(p)  = inf
  bound  inf >= 110.4764 >= 54.5450  [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/llama3.1-8b__full__joint__idiom.json
