Average Error: 33.5 → 33.5
Time: 2.2s
Precision: binary64
\[e^{a + b} - e^{a - b}\]
↓
\[e^{a + b} - e^{a - b}\]
e^{a + b} - e^{a - b}
↓
e^{a + b} - e^{a - b}
double code(double a, double b) {
	return ((double) (((double) exp(((double) (a + b)))) - ((double) exp(((double) (a - b))))));
}
↓
double code(double a, double b) {
	return ((double) (((double) exp(((double) (a + b)))) - ((double) exp(((double) (a - b))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 33.5

    \[e^{a + b} - e^{a - b}\]

  2. Final simplification33.5

    \[\leadsto e^{a + b} - e^{a - b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- (exp (+ a b)) (exp (- a b)))"
  :precision binary64
  (- (exp (+ a b)) (exp (- a b))))