Average Error: 3.1 → 3.1
Time: 13.5s
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 r150583 = x;
        double r150584 = 1.0;
        double r150585 = y;
        double r150586 = z;
        double r150587 = r150585 * r150586;
        double r150588 = r150584 - r150587;
        double r150589 = r150583 * r150588;
        return r150589;
}
↓
double f(double x, double y, double z) {
        double r150590 = x;
        double r150591 = 1.0;
        double r150592 = y;
        double r150593 = z;
        double r150594 = r150592 * r150593;
        double r150595 = r150591 - r150594;
        double r150596 = r150590 * r150595;
        return r150596;
}

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 3.1

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

  2. Final simplification3.1

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

Reproduce

herbie shell --seed 2019303 +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))))