Average Error: 2.9 → 2.9
Time: 13.1s
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 r175137 = x;
        double r175138 = 1.0;
        double r175139 = y;
        double r175140 = z;
        double r175141 = r175139 * r175140;
        double r175142 = r175138 - r175141;
        double r175143 = r175137 * r175142;
        return r175143;
}
↓
double f(double x, double y, double z) {
        double r175144 = x;
        double r175145 = 1.0;
        double r175146 = y;
        double r175147 = z;
        double r175148 = r175146 * r175147;
        double r175149 = r175145 - r175148;
        double r175150 = r175144 * r175149;
        return r175150;
}

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 2.9

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

  2. Final simplification2.9

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

Reproduce

herbie shell --seed 2019212 +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))))