Average Error: 4.9 → 0
Time: 1.1s
Precision: binary64
\[e^{\log x \cdot 1.5}\]
↓
\[{x}^{1.5}\]
e^{\log x \cdot 1.5}
↓
{x}^{1.5}
double code(double x) {
	return ((double) exp(((double) (((double) log(x)) * 1.5))));
}
↓
double code(double x) {
	return ((double) pow(x, 1.5));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 4.9

    \[e^{\log x \cdot 1.5}\]

  2. Simplified0

    \[\leadsto \color{blue}{{x}^{1.5}}\]

  3. Final simplification0

    \[\leadsto {x}^{1.5}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(exp (* (log x) 1.5))"
  :precision binary64
  (exp (* (log x) 1.5)))