Average Error: 0.1 → 0.1
Time: 974.0ms
Precision: binary64
\[\sqrt{2^{x} + 2^{y}}\]
↓
\[\sqrt{2^{x} + 2^{y}}\]
\sqrt{2^{x} + 2^{y}}
↓
\sqrt{2^{x} + 2^{y}}
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) exp2(x)) + ((double) exp2(y))))));
}
↓
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) exp2(x)) + ((double) exp2(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sqrt{2^{x} + 2^{y}}\]

  2. Final simplification0.1

    \[\leadsto \sqrt{2^{x} + 2^{y}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(sqrt (+ (exp2 x) (exp2 y)))"
  :precision binary64
  (sqrt (+ (exp2 x) (exp2 y))))