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idiom:  spill the beans
  H(p)        = 61.2027
  H_u         = 69.6687
  H_s         = 61.2422
  H_u / H(p)  = 1.1383
  H_s / H(p)  = 1.0006
  bound  130.9109 >= 123.7918 >= 61.2027  [ok]

idiom:  call the shots
  H(p)        = 51.2159
  H_u         = 64.9682
  H_s         = 51.2160
  H_u / H(p)  = 1.2685
  H_s / H(p)  = 1.0000
  bound  116.1842 >= 103.8182 >= 51.2159  [ok]

idiom:  clear the air
  H(p)        = 60.7948
  H_u         = 71.4339
  H_s         = 60.8720
  H_u / H(p)  = 1.1750
  H_s / H(p)  = 1.0013
  bound  132.3059 >= 122.9759 >= 60.7948  [ok]

idiom:  have a ball
  H(p)        = 51.3008
  H_u         = 60.9986
  H_s         = 51.3014
  H_u / H(p)  = 1.1890
  H_s / H(p)  = 1.0000
  bound  112.3000 >= 103.9879 >= 51.3008  [ok]

idiom:  get the sack
  H(p)        = 61.4294
  H_u         = 65.0256
  H_s         = inf
  H_u / H(p)  = 1.0585
  H_s / H(p)  = inf
  bound  inf >= 124.2450 >= 61.4294  [ok]

idiom:  bite the dust
  H(p)        = 61.9487
  H_u         = 71.1428
  H_s         = 61.9545
  H_u / H(p)  = 1.1484
  H_s / H(p)  = 1.0001
  bound  133.0973 >= 125.2837 >= 61.9487  [ok]

idiom:  break the mold
  H(p)        = 56.0027
  H_u         = 73.8104
  H_s         = 56.0027
  H_u / H(p)  = 1.3180
  H_s / H(p)  = 1.0000
  bound  129.8131 >= 113.3917 >= 56.0027  [ok]

idiom:  lose ground
  H(p)        = 62.3357
  H_u         = 74.6578
  H_s         = inf
  H_u / H(p)  = 1.1977
  H_s / H(p)  = inf
  bound  inf >= 126.0576 >= 62.3357  [ok]

idiom:  make waves
  H(p)        = 51.7355
  H_u         = 60.7582
  H_s         = inf
  H_u / H(p)  = 1.1744
  H_s / H(p)  = inf
  bound  inf >= 104.8573 >= 51.7355  [ok]

idiom:  cut corners
  H(p)        = 49.2264
  H_u         = 64.9477
  H_s         = 49.2264
  H_u / H(p)  = 1.3194
  H_s / H(p)  = 1.0000
  bound  114.1741 >= 99.8391 >= 49.2264  [ok]

idiom:  raise hell
  H(p)        = 60.6754
  H_u         = 66.5900
  H_s         = 60.7928
  H_u / H(p)  = 1.0975
  H_s / H(p)  = 1.0019
  bound  127.3828 >= 122.7371 >= 60.6754  [ok]

idiom:  pull strings
  H(p)        = 62.9543
  H_u         = 69.8976
  H_s         = inf
  H_u / H(p)  = 1.1103
  H_s / H(p)  = inf
  bound  inf >= 127.2950 >= 62.9543  [ok]

idiom:  mean business
  H(p)        = 61.7788
  H_u         = 67.0771
  H_s         = inf
  H_u / H(p)  = 1.0858
  H_s / H(p)  = inf
  bound  inf >= 124.9439 >= 61.7788  [ok]

idiom:  turn tail
  H(p)        = 69.0590
  H_u         = 82.9853
  H_s         = 69.0595
  H_u / H(p)  = 1.2017
  H_s / H(p)  = 1.0000
  bound  152.0447 >= 139.5042 >= 69.0590  [ok]

idiom:  rock the boat
  H(p)        = 42.0472
  H_u         = 48.4116
  H_s         = inf
  H_u / H(p)  = 1.1514
  H_s / H(p)  = inf
  bound  inf >= 85.4806 >= 42.0472  [ok]

idiom:  lead the field
  H(p)        = 57.3648
  H_u         = 63.5397
  H_s         = inf
  H_u / H(p)  = 1.1076
  H_s / H(p)  = inf
  bound  inf >= 116.1160 >= 57.3648  [ok]

idiom:  strike a chord
  H(p)        = 51.8615
  H_u         = 65.9115
  H_s         = 51.8615
  H_u / H(p)  = 1.2709
  H_s / H(p)  = 1.0000
  bound  117.7730 >= 105.1093 >= 51.8615  [ok]

idiom:  run the show
  H(p)        = 62.2449
  H_u         = 68.5246
  H_s         = inf
  H_u / H(p)  = 1.1009
  H_s / H(p)  = inf
  bound  inf >= 125.8760 >= 62.2449  [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__joint__idiom.json