Average Error: 3.3 → 3.3
Time: 6.2s
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 r283592 = x;
        double r283593 = 1.0;
        double r283594 = y;
        double r283595 = z;
        double r283596 = r283594 * r283595;
        double r283597 = r283593 - r283596;
        double r283598 = r283592 * r283597;
        return r283598;
}
↓
double f(double x, double y, double z) {
        double r283599 = x;
        double r283600 = 1.0;
        double r283601 = y;
        double r283602 = z;
        double r283603 = r283601 * r283602;
        double r283604 = r283600 - r283603;
        double r283605 = r283599 * r283604;
        return r283605;
}

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 2020089 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))