Average Error: 60.2 → 58.6
Time: 5.4s
Precision: binary64
\[\frac{e^{x} - 1}{\log \left(e^{x}\right)}\]
↓
\[\frac{e^{x}}{x} - \frac{1}{x}\]
\frac{e^{x} - 1}{\log \left(e^{x}\right)}
↓
\frac{e^{x}}{x} - \frac{1}{x}
double code(double x) {
	return ((double) (((double) (((double) exp(x)) - 1.0)) / ((double) log(((double) exp(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) exp(x)) / x)) - ((double) (1.0 / x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 60.2

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

  2. Simplified58.6

    \[\leadsto \color{blue}{\frac{e^{x}}{x} - \frac{1}{x}}\]

  3. Final simplification58.6

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

Reproduce

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