Average Error: 3.1 → 3.1
Time: 13.6s
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 r257053 = x;
        double r257054 = 1.0;
        double r257055 = y;
        double r257056 = z;
        double r257057 = r257055 * r257056;
        double r257058 = r257054 - r257057;
        double r257059 = r257053 * r257058;
        return r257059;
}
↓
double f(double x, double y, double z) {
        double r257060 = x;
        double r257061 = 1.0;
        double r257062 = y;
        double r257063 = z;
        double r257064 = r257062 * r257063;
        double r257065 = r257061 - r257064;
        double r257066 = r257060 * r257065;
        return r257066;
}

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 3.1

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

  2. Final simplification3.1

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))