Average Error: 0.1 → 0.1
Time: 1.6s
Precision: binary64
\[2^{0.5 + 0.5 \cdot \cos x}\]
↓
\[2^{0.5 + 0.5 \cdot \cos x}\]
2^{0.5 + 0.5 \cdot \cos x}
↓
2^{0.5 + 0.5 \cdot \cos x}
double code(double x) {
	return ((double) exp2(((double) (0.5 + ((double) (0.5 * ((double) cos(x))))))));
}
↓
double code(double x) {
	return ((double) exp2(((double) (0.5 + ((double) (0.5 * ((double) cos(x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[2^{0.5 + 0.5 \cdot \cos x}\]

  2. Final simplification0.1

    \[\leadsto 2^{0.5 + 0.5 \cdot \cos x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(exp2 (+ 0.5 (* 0.5 (cos x))))"
  :precision binary64
  (exp2 (+ 0.5 (* 0.5 (cos x)))))