Average Error: 3.2 → 3.2
Time: 10.8s
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 r190171 = x;
        double r190172 = 1.0;
        double r190173 = y;
        double r190174 = z;
        double r190175 = r190173 * r190174;
        double r190176 = r190172 - r190175;
        double r190177 = r190171 * r190176;
        return r190177;
}
↓
double f(double x, double y, double z) {
        double r190178 = x;
        double r190179 = 1.0;
        double r190180 = y;
        double r190181 = z;
        double r190182 = r190180 * r190181;
        double r190183 = r190179 - r190182;
        double r190184 = r190178 * r190183;
        return r190184;
}

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. Final simplification3.2

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

Reproduce

herbie shell --seed 2019298 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))