Average Error: 0.0 → 0.0
Time: 726.0ms
Precision: binary64
\[\frac{1 + \tanh \left(\frac{x}{2}\right)}{2}\]
↓
\[\frac{1 + \tanh \left(\frac{x}{2}\right)}{2}\]
\frac{1 + \tanh \left(\frac{x}{2}\right)}{2}
↓
\frac{1 + \tanh \left(\frac{x}{2}\right)}{2}
double code(double x) {
	return ((double) (((double) (1.0 + ((double) tanh(((double) (x / 2.0)))))) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 + ((double) tanh(((double) (x / 2.0)))))) / 2.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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