Average Error: 3.2 → 3.2
Time: 3.0s
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 r301161 = x;
        double r301162 = 1.0;
        double r301163 = y;
        double r301164 = z;
        double r301165 = r301163 * r301164;
        double r301166 = r301162 - r301165;
        double r301167 = r301161 * r301166;
        return r301167;
}
↓
double f(double x, double y, double z) {
        double r301168 = x;
        double r301169 = 1.0;
        double r301170 = y;
        double r301171 = z;
        double r301172 = r301170 * r301171;
        double r301173 = r301169 - r301172;
        double r301174 = r301168 * r301173;
        return r301174;
}

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 3.2

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

  2. Final simplification3.2

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

Reproduce

herbie shell --seed 2020062 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))