Average Error: 0.0 → 0.0
Time: 26.3s
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 r284025 = x;
        double r284026 = y;
        double r284027 = r284025 + r284026;
        double r284028 = r284025 * r284026;
        double r284029 = r284027 - r284028;
        return r284029;
}
↓
double f(double x, double y) {
        double r284030 = x;
        double r284031 = y;
        double r284032 = r284030 + r284031;
        double r284033 = r284030 * r284031;
        double r284034 = r284032 - r284033;
        return r284034;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A"
  :precision binary64
  (- (+ x y) (* x y)))