Average Error: 3.3 → 3.3
Time: 12.3s
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 r164553 = x;
        double r164554 = 1.0;
        double r164555 = y;
        double r164556 = z;
        double r164557 = r164555 * r164556;
        double r164558 = r164554 - r164557;
        double r164559 = r164553 * r164558;
        return r164559;
}
↓
double f(double x, double y, double z) {
        double r164560 = x;
        double r164561 = 1.0;
        double r164562 = y;
        double r164563 = z;
        double r164564 = r164562 * r164563;
        double r164565 = r164561 - r164564;
        double r164566 = r164560 * r164565;
        return r164566;
}

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))))