Average Error: 0.0 → 0
Time: 1.3s
Precision: binary64
\[e^{a \cdot \log b}\]
↓
\[{b}^{a}\]
e^{a \cdot \log b}
↓
{b}^{a}
double code(double a, double b) {
	return ((double) exp(((double) (a * ((double) log(b))))));
}
↓
double code(double a, double b) {
	return ((double) pow(b, a));
}

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 0.0

    \[e^{a \cdot \log b}\]

  2. Simplified0

    \[\leadsto \color{blue}{{b}^{a}}\]

  3. Final simplification0

    \[\leadsto {b}^{a}\]

Reproduce

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