Average Error: 3.2 → 3.2
Time: 12.8s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[\left(1 - z \cdot y\right) \cdot x\]
x \cdot \left(1 - y \cdot z\right)
↓
\left(1 - z \cdot y\right) \cdot x
double f(double x, double y, double z) {
        double r220500 = x;
        double r220501 = 1.0;
        double r220502 = y;
        double r220503 = z;
        double r220504 = r220502 * r220503;
        double r220505 = r220501 - r220504;
        double r220506 = r220500 * r220505;
        return r220506;
}
↓
double f(double x, double y, double z) {
        double r220507 = 1.0;
        double r220508 = z;
        double r220509 = y;
        double r220510 = r220508 * r220509;
        double r220511 = r220507 - r220510;
        double r220512 = x;
        double r220513 = r220511 * r220512;
        return r220513;
}

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. Simplified3.2

    \[\leadsto \color{blue}{\left(1 - y \cdot z\right) \cdot x}\]

  3. Final simplification3.2

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))