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

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

    \[\sqrt{a \cdot a - b \cdot b}\]

  2. Final simplification31.5

    \[\leadsto \sqrt{a \cdot a - b \cdot b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(sqrt (- (* a a) (* b b)))"
  :precision binary64
  (sqrt (- (* a a) (* b b))))