Average Error: 3.3 → 3.3
Time: 4.6s
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 r311311 = x;
        double r311312 = 1.0;
        double r311313 = y;
        double r311314 = z;
        double r311315 = r311313 * r311314;
        double r311316 = r311312 - r311315;
        double r311317 = r311311 * r311316;
        return r311317;
}
↓
double f(double x, double y, double z) {
        double r311318 = x;
        double r311319 = 1.0;
        double r311320 = y;
        double r311321 = z;
        double r311322 = r311320 * r311321;
        double r311323 = r311319 - r311322;
        double r311324 = r311318 * r311323;
        return r311324;
}

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 2020027 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))