Average Error: 39.8 → 39.8
Time: 1.4s
Precision: binary64
\[\sqrt{\frac{e^{x} - 1}{x}}\]
↓
\[\sqrt{\frac{e^{x} - 1}{x}}\]
\sqrt{\frac{e^{x} - 1}{x}}
↓
\sqrt{\frac{e^{x} - 1}{x}}
double code(double x) {
	return ((double) sqrt(((double) (((double) (((double) exp(x)) - 1.0)) / x))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (((double) exp(x)) - 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 39.8

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

  2. Final simplification39.8

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

Reproduce

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