Average Error: 0.2 → 0.2
Time: 504.0ms
Precision: binary64
\[\frac{x}{\sqrt{2}} + 5\]
↓
\[\frac{x}{\sqrt{2}} + 5\]
\frac{x}{\sqrt{2}} + 5
↓
\frac{x}{\sqrt{2}} + 5
double code(double x) {
	return ((double) (((double) (x / ((double) sqrt(2.0)))) + 5.0));
}
↓
double code(double x) {
	return ((double) (((double) (x / ((double) sqrt(2.0)))) + 5.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x}{\sqrt{2}} + 5\]

  2. Final simplification0.2

    \[\leadsto \frac{x}{\sqrt{2}} + 5\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (/ x (sqrt 2.0)) 5.0)"
  :precision binary64
  (+ (/ x (sqrt 2.0)) 5.0))