Average Error: 3.3 → 3.3
Time: 4.2s
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 r223063 = x;
        double r223064 = 1.0;
        double r223065 = y;
        double r223066 = z;
        double r223067 = r223065 * r223066;
        double r223068 = r223064 - r223067;
        double r223069 = r223063 * r223068;
        return r223069;
}
↓
double f(double x, double y, double z) {
        double r223070 = x;
        double r223071 = 1.0;
        double r223072 = y;
        double r223073 = z;
        double r223074 = r223072 * r223073;
        double r223075 = r223071 - r223074;
        double r223076 = r223070 * r223075;
        return r223076;
}

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 2020057 +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))))