Average Error: 3.3 → 3.3
Time: 4.9s
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 r324250 = x;
        double r324251 = 1.0;
        double r324252 = y;
        double r324253 = z;
        double r324254 = r324252 * r324253;
        double r324255 = r324251 - r324254;
        double r324256 = r324250 * r324255;
        return r324256;
}
↓
double f(double x, double y, double z) {
        double r324257 = x;
        double r324258 = 1.0;
        double r324259 = y;
        double r324260 = z;
        double r324261 = r324259 * r324260;
        double r324262 = r324258 - r324261;
        double r324263 = r324257 * r324262;
        return r324263;
}

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 2020035 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))