Average Error: 59.7 → 59.7
Time: 2.0s
Precision: binary64
\[\left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}\]
↓
\[\left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}\]
\left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}
↓
\left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) (x + 1.0)) * ((double) (x + 1.0)))) / ((double) (2.0 * x)))) - ((double) (x / 2.0)))) - ((double) (1.0 / ((double) (2.0 * x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) (x + 1.0)) * ((double) (x + 1.0)))) / ((double) (2.0 * x)))) - ((double) (x / 2.0)))) - ((double) (1.0 / ((double) (2.0 * x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.7

    \[\left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}\]

  2. Final simplification59.7

    \[\leadsto \left(\frac{\left(x + 1\right) \cdot \left(x + 1\right)}{2 \cdot x} - \frac{x}{2}\right) - \frac{1}{2 \cdot x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (- (/ (* (+ x 1) (+ x 1)) (* 2 x)) (/ x 2)) (/ 1 (* 2 x)))"
  :precision binary64
  (- (- (/ (* (+ x 1.0) (+ x 1.0)) (* 2.0 x)) (/ x 2.0)) (/ 1.0 (* 2.0 x))))