Average Error: 12.1 → 12.1
Time: 1.0s
Precision: binary64
\[\frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}\]
↓
\[\frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}\]
\frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}
↓
\frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}
double code(double x, double y) {
	return ((double) (1.0 / ((double) (1.0 + ((double) (((double) pow(x, 2.0)) / ((double) pow(y, 2.0))))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (1.0 + ((double) (((double) pow(x, 2.0)) / ((double) pow(y, 2.0))))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 12.1

    \[\frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}\]

  2. Final simplification12.1

    \[\leadsto \frac{1}{1 + \frac{{x}^{2}}{{y}^{2}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(/ 1 (+ 1 (/ (pow x 2) (pow y 2))))"
  :precision binary64
  (/ 1.0 (+ 1.0 (/ (pow x 2.0) (pow y 2.0)))))