Average Error: 3.3 → 3.3
Time: 13.1s
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 r219739 = x;
        double r219740 = 1.0;
        double r219741 = y;
        double r219742 = z;
        double r219743 = r219741 * r219742;
        double r219744 = r219740 - r219743;
        double r219745 = r219739 * r219744;
        return r219745;
}
↓
double f(double x, double y, double z) {
        double r219746 = x;
        double r219747 = 1.0;
        double r219748 = y;
        double r219749 = z;
        double r219750 = r219748 * r219749;
        double r219751 = r219747 - r219750;
        double r219752 = r219746 * r219751;
        return r219752;
}

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 2019326 +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))))