Average Error: 0.0 → 0.0
Time: 3.4s
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 r132216 = x;
        double r132217 = y;
        double r132218 = r132216 + r132217;
        double r132219 = r132216 * r132217;
        double r132220 = r132218 - r132219;
        return r132220;
}
↓
double f(double x, double y) {
        double r132221 = x;
        double r132222 = y;
        double r132223 = r132221 + r132222;
        double r132224 = r132221 * r132222;
        double r132225 = r132223 - r132224;
        return r132225;
}

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 2019208 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A"
  :precision binary64
  (- (+ x y) (* x y)))