Average Error: 0.0 → 0.0
Time: 640.0ms
Precision: binary64
\[\frac{\sqrt{x + 1}}{2^{x}}\]
↓
\[\frac{\sqrt{x + 1}}{2^{x}}\]
\frac{\sqrt{x + 1}}{2^{x}}
↓
\frac{\sqrt{x + 1}}{2^{x}}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) / ((double) exp2(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) / ((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

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

  2. Final simplification0.0

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

Reproduce

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