Average Error: 0.0 → 0.0
Time: 760.0ms
Precision: binary64
\[\sqrt{\frac{x}{2}} + 3\]
↓
\[\sqrt{\frac{x}{2}} + 3\]
\sqrt{\frac{x}{2}} + 3
↓
\sqrt{\frac{x}{2}} + 3
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / 2.0)))) + 3.0));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / 2.0)))) + 3.0));
}

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

    \[\sqrt{\frac{x}{2}} + 3\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\frac{x}{2}} + 3\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (sqrt (/ x 2)) 3)"
  :precision binary64
  (+ (sqrt (/ x 2.0)) 3.0))