Average Error: 3.4 → 3.4
Time: 4.7s
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 r287665 = x;
        double r287666 = 1.0;
        double r287667 = y;
        double r287668 = z;
        double r287669 = r287667 * r287668;
        double r287670 = r287666 - r287669;
        double r287671 = r287665 * r287670;
        return r287671;
}
↓
double f(double x, double y, double z) {
        double r287672 = x;
        double r287673 = 1.0;
        double r287674 = y;
        double r287675 = z;
        double r287676 = r287674 * r287675;
        double r287677 = r287673 - r287676;
        double r287678 = r287672 * r287677;
        return r287678;
}

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. Final simplification3.4

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

Reproduce

herbie shell --seed 2020039 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))