Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\left(x + y\right) \cdot x - \left(y - x\right) \cdot y\]
↓
\[\left(x + y\right) \cdot x - \left(y - x\right) \cdot y\]
\left(x + y\right) \cdot x - \left(y - x\right) \cdot y
↓
\left(x + y\right) \cdot x - \left(y - x\right) \cdot y
double code(double x, double y) {
	return ((double) (((double) (((double) (x + y)) * x)) - ((double) (((double) (y - x)) * y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (x + y)) * x)) - ((double) (((double) (y - x)) * y))));
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- (* (+ x y) x) (* (- y x) y))"
  :precision binary64
  (- (* (+ x y) x) (* (- y x) y)))