Average Error: 3.1 → 3.1
Time: 4.8s
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 r304612 = x;
        double r304613 = 1.0;
        double r304614 = y;
        double r304615 = z;
        double r304616 = r304614 * r304615;
        double r304617 = r304613 - r304616;
        double r304618 = r304612 * r304617;
        return r304618;
}
↓
double f(double x, double y, double z) {
        double r304619 = x;
        double r304620 = 1.0;
        double r304621 = y;
        double r304622 = z;
        double r304623 = r304621 * r304622;
        double r304624 = r304620 - r304623;
        double r304625 = r304619 * r304624;
        return r304625;
}

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 2020021 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))