Average Error: 0.0 → 0.0
Time: 574.0ms
Precision: binary64
\[\sqrt{2^{x} + 1}\]
↓
\[\sqrt{2^{x} + 1}\]
\sqrt{2^{x} + 1}
↓
\sqrt{2^{x} + 1}
double code(double x) {
	return ((double) sqrt(((double) (((double) exp2(x)) + 1.0))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) exp2(x)) + 1.0))));
}

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

    \[\sqrt{2^{x} + 1}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{2^{x} + 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (+ (exp2 x) 1))"
  :precision binary64
  (sqrt (+ (exp2 x) 1.0)))