Average Error: 3.3 → 3.3
Time: 15.0s
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 r252576 = x;
        double r252577 = 1.0;
        double r252578 = y;
        double r252579 = z;
        double r252580 = r252578 * r252579;
        double r252581 = r252577 - r252580;
        double r252582 = r252576 * r252581;
        return r252582;
}
↓
double f(double x, double y, double z) {
        double r252583 = x;
        double r252584 = 1.0;
        double r252585 = y;
        double r252586 = z;
        double r252587 = r252585 * r252586;
        double r252588 = r252584 - r252587;
        double r252589 = r252583 * r252588;
        return r252589;
}

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 2019306 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))