Average Error: 0.0 → 0.0
Time: 434.0ms
Precision: binary64
\[\frac{x}{1 + \left|x\right|}\]
↓
\[\frac{x}{1 + \left|x\right|}\]
\frac{x}{1 + \left|x\right|}
↓
\frac{x}{1 + \left|x\right|}
double code(double x) {
	return ((double) (x / ((double) (1.0 + ((double) fabs(x))))));
}
↓
double code(double x) {
	return ((double) (x / ((double) (1.0 + ((double) fabs(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x}{1 + \left|x\right|}\]

  2. Final simplification0.0

    \[\leadsto \frac{x}{1 + \left|x\right|}\]

Reproduce

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