Average Error: 3.3 → 3.3
Time: 9.4s
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 r201091 = x;
        double r201092 = 1.0;
        double r201093 = y;
        double r201094 = z;
        double r201095 = r201093 * r201094;
        double r201096 = r201092 - r201095;
        double r201097 = r201091 * r201096;
        return r201097;
}
↓
double f(double x, double y, double z) {
        double r201098 = x;
        double r201099 = 1.0;
        double r201100 = y;
        double r201101 = z;
        double r201102 = r201100 * r201101;
        double r201103 = r201099 - r201102;
        double r201104 = r201098 * r201103;
        return r201104;
}

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 2020045 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))