Average Error: 31.1 → 31.1
Time: 482.0ms
Precision: binary64
\[\sqrt{\frac{1}{x \cdot x}}\]
↓
\[\sqrt{\frac{1}{x \cdot x}}\]
\sqrt{\frac{1}{x \cdot x}}
↓
\sqrt{\frac{1}{x \cdot x}}
double code(double x) {
	return ((double) sqrt(((double) (1.0 / ((double) (x * x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (1.0 / ((double) (x * x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.1

    \[\sqrt{\frac{1}{x \cdot x}}\]

  2. Final simplification31.1

    \[\leadsto \sqrt{\frac{1}{x \cdot x}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (/ 1 (* x x)))"
  :precision binary64
  (sqrt (/ 1.0 (* x x))))