Average Error: 59.0 → 59.0
Time: 3.2s
Precision: binary64
\[\sqrt{e^{x} - 1}\]
↓
\[\sqrt{e^{x} - 1}\]
\sqrt{e^{x} - 1}
↓
\sqrt{e^{x} - 1}
double code(double x) {
	return ((double) sqrt(((double) (((double) exp(x)) - 1.0))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) exp(x)) - 1.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.0

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

  2. Final simplification59.0

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

Reproduce

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