Average Error: 0.0 → 0.0
Time: 618.0ms
Precision: binary64
\[\sqrt{2 \cdot 2^{x}}\]
↓
\[\sqrt{2 \cdot 2^{x}}\]
\sqrt{2 \cdot 2^{x}}
↓
\sqrt{2 \cdot 2^{x}}
double code(double x) {
	return ((double) sqrt(((double) (2.0 * ((double) exp2(x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (2.0 * ((double) exp2(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{2 \cdot 2^{x}}\]

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sqrt (* 2 (exp2 x)))"
  :precision binary64
  (sqrt (* 2.0 (exp2 x))))