Average Error: 29.5 → 29.5
Time: 1.2s
Precision: binary64
\[\sqrt{y \cdot y + x} - y\]
↓
\[\sqrt{y \cdot y + x} - y\]
\sqrt{y \cdot y + x} - y
↓
\sqrt{y \cdot y + x} - y
double code(double y, double x) {
	return ((double) (((double) sqrt(((double) (((double) (y * y)) + x)))) - y));
}
↓
double code(double y, double x) {
	return ((double) (((double) sqrt(((double) (((double) (y * y)) + x)))) - y));
}

Error

Bits error versus y

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.5

    \[\sqrt{y \cdot y + x} - y\]

  2. Final simplification29.5

    \[\leadsto \sqrt{y \cdot y + x} - y\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y x)
  :name "(- (sqrt (+ (* y y) x)) y)"
  :precision binary64
  (- (sqrt (+ (* y y) x)) y))