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idiom:  spill the beans
  H(p)        = 4.0742
  H_u         = 4.7515
  H_s         = 4.9278
  H_u / H(p)  = 1.1662
  H_s / H(p)  = 1.2095
  bound  9.6793 >= 9.5347 >= 4.0742  [ok]

idiom:  call the shots
  H(p)        = 3.4746
  H_u         = 4.6821
  H_s         = 3.8521
  H_u / H(p)  = 1.3475
  H_s / H(p)  = 1.1086
  bound  8.5342 >= 8.3355 >= 3.4746  [ok]

idiom:  clear the air
  H(p)        = 3.9718
  H_u         = 5.1022
  H_s         = 4.3781
  H_u / H(p)  = 1.2846
  H_s / H(p)  = 1.1023
  bound  9.4803 >= 9.3298 >= 3.9718  [ok]

idiom:  have a ball
  H(p)        = 3.3247
  H_u         = 4.2296
  H_s         = 3.9323
  H_u / H(p)  = 1.2722
  H_s / H(p)  = 1.1828
  bound  8.1619 >= 8.0357 >= 3.3247  [ok]

idiom:  get the sack
  H(p)        = 5.0276
  H_u         = 5.5813
  H_s         = inf
  H_u / H(p)  = 1.1101
  H_s / H(p)  = inf
  bound  inf >= 11.4415 >= 5.0276  [ok]

idiom:  bite the dust
  H(p)        = 4.9042
  H_u         = 6.0228
  H_s         = 5.4520
  H_u / H(p)  = 1.2281
  H_s / H(p)  = 1.1117
  bound  11.4748 >= 11.1948 >= 4.9042  [ok]

idiom:  break the mold
  H(p)        = 3.2997
  H_u         = 4.5355
  H_s         = 3.6468
  H_u / H(p)  = 1.3745
  H_s / H(p)  = 1.1052
  bound  8.1823 >= 7.9856 >= 3.2997  [ok]

idiom:  lose ground
  H(p)        = 4.9293
  H_u         = 6.0735
  H_s         = inf
  H_u / H(p)  = 1.2321
  H_s / H(p)  = inf
  bound  inf >= 11.2448 >= 4.9293  [ok]

idiom:  make waves
  H(p)        = 4.3227
  H_u         = 5.4073
  H_s         = inf
  H_u / H(p)  = 1.2509
  H_s / H(p)  = inf
  bound  inf >= 10.0316 >= 4.3227  [ok]

idiom:  cut corners
  H(p)        = 3.8895
  H_u         = 5.3940
  H_s         = 4.1783
  H_u / H(p)  = 1.3868
  H_s / H(p)  = 1.0743
  bound  9.5723 >= 9.1653 >= 3.8895  [ok]

idiom:  raise hell
  H(p)        = 4.8011
  H_u         = 5.3914
  H_s         = 5.6682
  H_u / H(p)  = 1.1229
  H_s / H(p)  = 1.1806
  bound  11.0596 >= 10.9886 >= 4.8011  [ok]

idiom:  pull strings
  H(p)        = 4.4498
  H_u         = 5.4993
  H_s         = 5.0918
  H_u / H(p)  = 1.2358
  H_s / H(p)  = 1.1443
  bound  10.5911 >= 10.2860 >= 4.4498  [ok]

idiom:  mean business
  H(p)        = 6.1545
  H_u         = 7.0758
  H_s         = 6.7570
  H_u / H(p)  = 1.1497
  H_s / H(p)  = 1.0979
  bound  13.8327 >= 13.6954 >= 6.1545  [ok]

idiom:  turn tail
  H(p)        = 5.3585
  H_u         = 6.7460
  H_s         = 5.7165
  H_u / H(p)  = 1.2589
  H_s / H(p)  = 1.0668
  bound  12.4625 >= 12.1032 >= 5.3585  [ok]

idiom:  rock the boat
  H(p)        = 3.3110
  H_u         = 3.9589
  H_s         = inf
  H_u / H(p)  = 1.1957
  H_s / H(p)  = inf
  bound  inf >= 8.0083 >= 3.3110  [ok]

idiom:  lead the field
  H(p)        = 4.4935
  H_u         = 5.3713
  H_s         = 5.2364
  H_u / H(p)  = 1.1953
  H_s / H(p)  = 1.1653
  bound  10.6077 >= 10.3733 >= 4.4935  [ok]

idiom:  strike a chord
  H(p)        = 4.3462
  H_u         = 5.7806
  H_s         = 4.6297
  H_u / H(p)  = 1.3300
  H_s / H(p)  = 1.0652
  bound  10.4103 >= 10.0788 >= 4.3462  [ok]

idiom:  run the show
  H(p)        = 4.8508
  H_u         = 5.6751
  H_s         = inf
  H_u / H(p)  = 1.1699
  H_s / H(p)  = inf
  bound  inf >= 11.0879 >= 4.8508  [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/gemma2-9b__medial__geo__idiom.json