Average Error: 20.6 → 20.6
Time: 721.0ms
Precision: binary64
\[\sqrt{x \cdot x + c}\]
↓
\[\sqrt{x \cdot x + c}\]
\sqrt{x \cdot x + c}
↓
\sqrt{x \cdot x + c}
double code(double x, double c) {
	return ((double) sqrt(((double) (((double) (x * x)) + c))));
}
↓
double code(double x, double c) {
	return ((double) sqrt(((double) (((double) (x * x)) + c))));
}

Error

Bits error versus x

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 20.6

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

  2. Final simplification20.6

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

Reproduce

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