Average Error: 0.0 → 0.0
Time: 1.6s
Precision: binary64
\[\sqrt{m - y \cdot y}\]
↓
\[\sqrt{m - y \cdot y}\]
\sqrt{m - y \cdot y}
↓
\sqrt{m - y \cdot y}
double code(double m, double y) {
	return ((double) sqrt(((double) (m - ((double) (y * y))))));
}
↓
double code(double m, double y) {
	return ((double) sqrt(((double) (m - ((double) (y * y))))));
}

Error

Bits error versus m

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (m y)
  :name "(sqrt (- m (* y y)))"
  :precision binary64
  (sqrt (- m (* y y))))