Average Error: 3.8 → 0
Time: 1.2s
Precision: binary64
\[e^{2 \cdot \log x}\]
↓
\[{x}^{2}\]
e^{2 \cdot \log x}
↓
{x}^{2}
double code(double x) {
	return ((double) exp(((double) (2.0 * ((double) log(x))))));
}
↓
double code(double x) {
	return ((double) pow(x, 2.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.8

    \[e^{2 \cdot \log x}\]

  2. Simplified0

    \[\leadsto \color{blue}{{x}^{2}}\]

  3. Final simplification0

    \[\leadsto {x}^{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(exp (* 2 (log x)))"
  :precision binary64
  (exp (* 2.0 (log x))))