Average Error: 0.0 → 0.0
Time: 802.0ms
Precision: binary64
\[2^{\frac{x + y}{2}}\]
↓
\[2^{\frac{x + y}{2}}\]
2^{\frac{x + y}{2}}
↓
2^{\frac{x + y}{2}}
double code(double x, double y) {
	return ((double) exp2(((double) (((double) (x + y)) / 2.0))));
}
↓
double code(double x, double y) {
	return ((double) exp2(((double) (((double) (x + y)) / 2.0))));
}

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 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(exp2 (/ (+ x y) 2))"
  :precision binary64
  (exp2 (/ (+ x y) 2.0)))