Average Error: 0.4 → 0.4
Time: 566.0ms
Precision: binary64
\[\frac{e^{x}}{e^{x} + 1}\]
↓
\[\frac{e^{x}}{e^{x} + 1}\]
\frac{e^{x}}{e^{x} + 1}
↓
\frac{e^{x}}{e^{x} + 1}
double code(double x) {
	return ((double) (((double) exp(x)) / ((double) (((double) exp(x)) + 1.0))));
}
↓
double code(double x) {
	return ((double) (((double) exp(x)) / ((double) (((double) exp(x)) + 1.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{e^{x}}{e^{x} + 1}\]

  2. Final simplification0.4

    \[\leadsto \frac{e^{x}}{e^{x} + 1}\]

Reproduce

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