Average Error: 0.0 → 0.0
Time: 3.4s
Precision: binary64
\[\left(x + y\right) - x \cdot y\]
↓
\[y + \left(x - y \cdot x\right)\]
\left(x + y\right) - x \cdot y
↓
y + \left(x - y \cdot x\right)
(FPCore (x y) :precision binary64 (- (+ x y) (* x y)))
↓
(FPCore (x y) :precision binary64 (+ y (- x (* y x))))
double code(double x, double y) {
	return (x + y) - (x * y);
}
↓
double code(double x, double y) {
	return y + (x - (y * x));
}

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. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{\left(x + y\right) - x \cdot y}\]

  3. Simplified0.0

    \[\leadsto \color{blue}{y + \left(x - y \cdot x\right)}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2021176 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A"
  :precision binary64
  (- (+ x y) (* x y)))