Average Error: 3.1 → 3.1
Time: 13.3s
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 r174811 = x;
        double r174812 = 1.0;
        double r174813 = y;
        double r174814 = z;
        double r174815 = r174813 * r174814;
        double r174816 = r174812 - r174815;
        double r174817 = r174811 * r174816;
        return r174817;
}
↓
double f(double x, double y, double z) {
        double r174818 = x;
        double r174819 = 1.0;
        double r174820 = y;
        double r174821 = z;
        double r174822 = r174820 * r174821;
        double r174823 = r174819 - r174822;
        double r174824 = r174818 * r174823;
        return r174824;
}

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 +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))))