Average Error: 3.4 → 3.4
Time: 35.1s
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 r10569922 = x;
        double r10569923 = 1.0;
        double r10569924 = y;
        double r10569925 = z;
        double r10569926 = r10569924 * r10569925;
        double r10569927 = r10569923 - r10569926;
        double r10569928 = r10569922 * r10569927;
        return r10569928;
}
↓
double f(double x, double y, double z) {
        double r10569929 = 1.0;
        double r10569930 = z;
        double r10569931 = y;
        double r10569932 = r10569930 * r10569931;
        double r10569933 = r10569929 - r10569932;
        double r10569934 = x;
        double r10569935 = r10569933 * r10569934;
        return r10569935;
}

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 3.4

    \[x \cdot \left(1 - y \cdot z\right)\]
  2. Using strategy rm

  3. Applied *-commutative3.4

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

  4. Final simplification3.4

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))