Average Error: 31.5 → 31.5
Time: 1.1s
Precision: binary64
\[\sqrt{x \cdot x - y \cdot y}\]
↓
\[\sqrt{x \cdot x - y \cdot y}\]
\sqrt{x \cdot x - y \cdot y}
↓
\sqrt{x \cdot x - y \cdot y}
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) (x * x)) - ((double) (y * y))))));
}
↓
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) (x * x)) - ((double) (y * y))))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

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

  2. Final simplification31.5

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

Reproduce

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