Average Error: 30.5 → 30.5
Time: 1.2s
Precision: binary64
\[\sqrt{x + y \cdot y} - y\]
↓
\[\sqrt{x + y \cdot y} - y\]
\sqrt{x + y \cdot y} - y
↓
\sqrt{x + y \cdot y} - y
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x + ((double) (y * y)))))) - y));
}
↓
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x + ((double) (y * y)))))) - y));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.5

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

  2. Final simplification30.5

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

Reproduce

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