Average Error: 30.1 → 30.1
Time: 741.0ms
Precision: binary64
\[\frac{1}{\sqrt{a \cdot a + b \cdot b}}\]
↓
\[\frac{1}{\sqrt{a \cdot a + b \cdot b}}\]
\frac{1}{\sqrt{a \cdot a + b \cdot b}}
↓
\frac{1}{\sqrt{a \cdot a + b \cdot b}}
double code(double a, double b) {
	return ((double) (1.0 / ((double) sqrt(((double) (((double) (a * a)) + ((double) (b * b))))))));
}
↓
double code(double a, double b) {
	return ((double) (1.0 / ((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 30.1

    \[\frac{1}{\sqrt{a \cdot a + b \cdot b}}\]

  2. Final simplification30.1

    \[\leadsto \frac{1}{\sqrt{a \cdot a + b \cdot b}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(/ 1 (sqrt (+ (* a a) (* b b))))"
  :precision binary64
  (/ 1.0 (sqrt (+ (* a a) (* b b)))))