Average Error: 16.1 → 16.1
Time: 472.0ms
Precision: binary64
\[\sqrt{x \cdot x + 42}\]
↓
\[\sqrt{x \cdot x + 42}\]
\sqrt{x \cdot x + 42}
↓
\sqrt{x \cdot x + 42}
double code(double x) {
	return ((double) sqrt(((double) (((double) (x * x)) + 42.0))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) (x * x)) + 42.0))));
}

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

    \[\sqrt{x \cdot x + 42}\]

  2. Final simplification16.1

    \[\leadsto \sqrt{x \cdot x + 42}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (+ (* x x) 42))"
  :precision binary64
  (sqrt (+ (* x x) 42.0)))