Average Error: 3.3 → 3.3
Time: 4.5s
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 r287191 = x;
        double r287192 = 1.0;
        double r287193 = y;
        double r287194 = z;
        double r287195 = r287193 * r287194;
        double r287196 = r287192 - r287195;
        double r287197 = r287191 * r287196;
        return r287197;
}
↓
double f(double x, double y, double z) {
        double r287198 = x;
        double r287199 = 1.0;
        double r287200 = y;
        double r287201 = z;
        double r287202 = r287200 * r287201;
        double r287203 = r287199 - r287202;
        double r287204 = r287198 * r287203;
        return r287204;
}

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 3.3

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

  2. Final simplification3.3

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

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))