Average Error: 61.3 → 61.3
Time: 7.8s
Precision: binary64
\[\log \left(\frac{{e}^{x} - 1}{{e}^{x}}\right)\]
↓
\[\log \left(\frac{{e}^{x} - 1}{{e}^{x}}\right)\]
\log \left(\frac{{e}^{x} - 1}{{e}^{x}}\right)
↓
\log \left(\frac{{e}^{x} - 1}{{e}^{x}}\right)
double code(double e, double x) {
	return ((double) log(((double) (((double) (((double) pow(e, x)) - 1.0)) / ((double) pow(e, x))))));
}
↓
double code(double e, double x) {
	return ((double) log(((double) (((double) (((double) pow(e, x)) - 1.0)) / ((double) pow(e, x))))));
}

Error

Bits error versus e

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 61.3

    \[\log \left(\frac{{e}^{x} - 1}{{e}^{x}}\right)\]

  2. Final simplification61.3

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

Reproduce

herbie shell --seed 2020153 
(FPCore (e x)
  :name "(log (/ (- (pow e x) 1) (pow e x)))"
  :precision binary64
  (log (/ (- (pow e x) 1.0) (pow e x))))