Average Error: 5.1 → 5.1
Time: 1.1s
Precision: binary64
\[x - \frac{{X}^{2} - 2}{2 \cdot x}\]
↓
\[x - \frac{{X}^{2} - 2}{2 \cdot x}\]
x - \frac{{X}^{2} - 2}{2 \cdot x}
↓
x - \frac{{X}^{2} - 2}{2 \cdot x}
double code(double x, double X) {
	return ((double) (x - ((double) (((double) (((double) pow(X, 2.0)) - 2.0)) / ((double) (2.0 * x))))));
}
↓
double code(double x, double X) {
	return ((double) (x - ((double) (((double) (((double) pow(X, 2.0)) - 2.0)) / ((double) (2.0 * x))))));
}

Error

Bits error versus x

Bits error versus X

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 5.1

    \[x - \frac{{X}^{2} - 2}{2 \cdot x}\]

  2. Final simplification5.1

    \[\leadsto x - \frac{{X}^{2} - 2}{2 \cdot x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x X)
  :name "(- x (/ (- (pow X 2) 2) (* 2 x)))"
  :precision binary64
  (- x (/ (- (pow X 2.0) 2.0) (* 2.0 x))))