Average Error: 39.3 → 39.3
Time: 2.7s
Precision: binary64
\[\frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}\]
↓
\[\frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}\]
\frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}
↓
\frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}
double code(double x) {
	return ((double) (((double) (((double) exp(x)) * ((double) (1.0 - ((double) exp(x)))))) / ((double) pow(((double) (1.0 + ((double) exp(x)))), 3.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) exp(x)) * ((double) (1.0 - ((double) exp(x)))))) / ((double) pow(((double) (1.0 + ((double) exp(x)))), 3.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 39.3

    \[\frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}\]

  2. Final simplification39.3

    \[\leadsto \frac{e^{x} \cdot \left(1 - e^{x}\right)}{{\left(1 + e^{x}\right)}^{3}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (* (exp x) (- 1 (exp x))) (pow (+ 1 (exp x)) 3))"
  :precision binary64
  (/ (* (exp x) (- 1.0 (exp x))) (pow (+ 1.0 (exp x)) 3.0)))