Average Error: 0.6 → 0.6
Time: 2.1s
Precision: binary64
\[\frac{1}{\log x + \log y}\]
↓
\[\frac{1}{\log x + \log y}\]
\frac{1}{\log x + \log y}
↓
\frac{1}{\log x + \log y}
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) log(x)) + ((double) log(y))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) log(x)) + ((double) log(y))))));
}

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 0.6

    \[\frac{1}{\log x + \log y}\]

  2. Final simplification0.6

    \[\leadsto \frac{1}{\log x + \log y}\]

Reproduce

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