Average Error: 0.3 → 0.3
Time: 939.0ms
Precision: binary64
\[\frac{1}{x + 1} - \frac{1}{\sqrt{x}}\]
↓
\[\frac{1}{x + 1} - \frac{1}{\sqrt{x}}\]
\frac{1}{x + 1} - \frac{1}{\sqrt{x}}
↓
\frac{1}{x + 1} - \frac{1}{\sqrt{x}}
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (1.0 / ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (x + 1.0)))) - ((double) (1.0 / ((double) sqrt(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\frac{1}{x + 1} - \frac{1}{\sqrt{x}}\]

  2. Final simplification0.3

    \[\leadsto \frac{1}{x + 1} - \frac{1}{\sqrt{x}}\]

Reproduce

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