Average Error: 3.2 → 3.2
Time: 3.0s
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 r218152 = x;
        double r218153 = 1.0;
        double r218154 = y;
        double r218155 = z;
        double r218156 = r218154 * r218155;
        double r218157 = r218153 - r218156;
        double r218158 = r218152 * r218157;
        return r218158;
}
↓
double f(double x, double y, double z) {
        double r218159 = x;
        double r218160 = 1.0;
        double r218161 = y;
        double r218162 = z;
        double r218163 = r218161 * r218162;
        double r218164 = r218160 - r218163;
        double r218165 = r218159 * r218164;
        return r218165;
}

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 2020062 +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))))