Average Error: 3.4 → 3.4
Time: 14.1s
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 r199677 = x;
        double r199678 = 1.0;
        double r199679 = y;
        double r199680 = z;
        double r199681 = r199679 * r199680;
        double r199682 = r199678 - r199681;
        double r199683 = r199677 * r199682;
        return r199683;
}
↓
double f(double x, double y, double z) {
        double r199684 = x;
        double r199685 = 1.0;
        double r199686 = y;
        double r199687 = z;
        double r199688 = r199686 * r199687;
        double r199689 = r199685 - r199688;
        double r199690 = r199684 * r199689;
        return r199690;
}

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 3.4

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

  2. Final simplification3.4

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

Reproduce

herbie shell --seed 2019322 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))