Average Error: 3.2 → 3.2
Time: 14.9s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[\left(1 - y \cdot z\right) \cdot x\]
x \cdot \left(1 - y \cdot z\right)
↓
\left(1 - y \cdot z\right) \cdot x
double f(double x, double y, double z) {
        double r31927272 = x;
        double r31927273 = 1.0;
        double r31927274 = y;
        double r31927275 = z;
        double r31927276 = r31927274 * r31927275;
        double r31927277 = r31927273 - r31927276;
        double r31927278 = r31927272 * r31927277;
        return r31927278;
}
↓
double f(double x, double y, double z) {
        double r31927279 = 1.0;
        double r31927280 = y;
        double r31927281 = z;
        double r31927282 = r31927280 * r31927281;
        double r31927283 = r31927279 - r31927282;
        double r31927284 = x;
        double r31927285 = r31927283 * r31927284;
        return r31927285;
}

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. Using strategy rm

  3. Applied *-commutative3.2

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

  4. Final simplification3.2

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

Reproduce

herbie shell --seed 2019173 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))