Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[\left(x + y\right) - x \cdot y\]
↓
\[\left(x + y\right) - x \cdot y\]
\left(x + y\right) - x \cdot y
↓
\left(x + y\right) - x \cdot y
double f(double x, double y) {
        double r236806 = x;
        double r236807 = y;
        double r236808 = r236806 + r236807;
        double r236809 = r236806 * r236807;
        double r236810 = r236808 - r236809;
        return r236810;
}
↓
double f(double x, double y) {
        double r236811 = x;
        double r236812 = y;
        double r236813 = r236811 + r236812;
        double r236814 = r236811 * r236812;
        double r236815 = r236813 - r236814;
        return r236815;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(x + y\right) - x \cdot y\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020089 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A"
  :precision binary64
  (- (+ x y) (* x y)))