Average Error: 3.3 → 3.3
Time: 9.1s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[x \cdot \left(1 - y \cdot z\right)\]
x \cdot \left(1 - y \cdot z\right)
↓
x \cdot \left(1 - y \cdot z\right)
double f(double x, double y, double z) {
        double r257105 = x;
        double r257106 = 1.0;
        double r257107 = y;
        double r257108 = z;
        double r257109 = r257107 * r257108;
        double r257110 = r257106 - r257109;
        double r257111 = r257105 * r257110;
        return r257111;
}
↓
double f(double x, double y, double z) {
        double r257112 = x;
        double r257113 = 1.0;
        double r257114 = y;
        double r257115 = z;
        double r257116 = r257114 * r257115;
        double r257117 = r257113 - r257116;
        double r257118 = r257112 * r257117;
        return r257118;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.3

    \[x \cdot \left(1 - y \cdot z\right)\]

  2. Final simplification3.3

    \[\leadsto x \cdot \left(1 - y \cdot z\right)\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))