Average Error: 3.2 → 3.2
Time: 3.2s
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 r340437 = x;
        double r340438 = 1.0;
        double r340439 = y;
        double r340440 = z;
        double r340441 = r340439 * r340440;
        double r340442 = r340438 - r340441;
        double r340443 = r340437 * r340442;
        return r340443;
}
↓
double f(double x, double y, double z) {
        double r340444 = x;
        double r340445 = 1.0;
        double r340446 = y;
        double r340447 = z;
        double r340448 = r340446 * r340447;
        double r340449 = r340445 - r340448;
        double r340450 = r340444 * r340449;
        return r340450;
}

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