Average Error: 0.1 → 0.1
Time: 3.3s
Precision: binary64
\[{e}^{x} - {e}^{\left(x - 1\right)}\]
↓
\[{e}^{x} - {e}^{\left(x - 1\right)}\]
{e}^{x} - {e}^{\left(x - 1\right)}
↓
{e}^{x} - {e}^{\left(x - 1\right)}
double code(double e, double x) {
	return ((double) (((double) pow(e, x)) - ((double) pow(e, ((double) (x - 1.0))))));
}
↓
double code(double e, double x) {
	return ((double) (((double) pow(e, x)) - ((double) pow(e, ((double) (x - 1.0))))));
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020152 
(FPCore (e x)
  :name "(- (pow e x) (pow e (- x 1)))"
  :precision binary64
  (- (pow e x) (pow e (- x 1.0))))