Average Error: 3.3 → 0.2
Time: 2.6s
Precision: binary64
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↓
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Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

  1. Split input into 2 regimes

  2. if (* y z) < -1.4124041125740206e287 or 1.23435369356276185e172 < (* y z)

    1. Initial program 30.6

      \[\]
    2. Using strategy rm

    3. Applied sub-neg30.6

      \[\leadsto \]

    4. Applied distribute-lft-in30.6

      \[\leadsto \]

    5. Simplified30.6

      \[\leadsto \]
    6. Using strategy rm

    7. Applied associate-*r*1.6

      \[\leadsto \]

    if -1.4124041125740206e287 < (* y z) < 1.23435369356276185e172

    1. Initial program 0.1

      \[\]
    2. Using strategy rm

    3. Applied sub-neg0.1

      \[\leadsto \]

    4. Applied distribute-lft-in0.1

      \[\leadsto \]

    5. Simplified0.1

      \[\leadsto \]
  3. Recombined 2 regimes into one program.

  4. Final simplification0.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1.0 (* y z))))