Average Error: 16.1 → 16.1
Time: 473.0ms
Precision: binary64
\[\sqrt{2 + x \cdot x}\]
↓
\[\sqrt{2 + x \cdot x}\]
\sqrt{2 + x \cdot x}
↓
\sqrt{2 + x \cdot x}
double code(double x) {
	return ((double) sqrt(((double) (2.0 + ((double) (x * x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (2.0 + ((double) (x * x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\sqrt{2 + x \cdot x}\]

  2. Final simplification16.1

    \[\leadsto \sqrt{2 + x \cdot x}\]

Reproduce

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