Average Error: 2.5 → 2.5
Time: 886.0ms
Precision: binary64
\[\left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right) - time\]
↓
\[\left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right) - time\]
\left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right) - time
↓
\left(\left(\frac{1}{x + 1} - \frac{2}{x}\right) + \frac{1}{x - 1}\right) - time
double code(double x, double time) {
	return ((double) (((double) (((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (2.0 / x)))) + ((double) (1.0 / ((double) (x - 1.0)))))) - time));
}
↓
double code(double x, double time) {
	return ((double) (((double) (((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (2.0 / x)))) + ((double) (1.0 / ((double) (x - 1.0)))))) - time));
}

Error

Bits error versus x

Bits error versus time

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.5

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

  2. Final simplification2.5

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x time)
  :name "(- (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) time)"
  :precision binary64
  (- (+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))) time))