Average Error: 3.0 → 3.0
Time: 4.9s
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 r282295 = x;
        double r282296 = 1.0;
        double r282297 = y;
        double r282298 = z;
        double r282299 = r282297 * r282298;
        double r282300 = r282296 - r282299;
        double r282301 = r282295 * r282300;
        return r282301;
}
↓
double f(double x, double y, double z) {
        double r282302 = x;
        double r282303 = 1.0;
        double r282304 = y;
        double r282305 = z;
        double r282306 = r282304 * r282305;
        double r282307 = r282303 - r282306;
        double r282308 = r282302 * r282307;
        return r282308;
}

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 3.0

    \[x \cdot \left(1 - y \cdot z\right)\]

  2. Final simplification3.0

    \[\leadsto x \cdot \left(1 - y \cdot z\right)\]

Reproduce

herbie shell --seed 2019353 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))