Average Error: 15.0 → 15.0
Time: 1.2s
Precision: binary64
\[\frac{x - y}{\log \left(\frac{x}{y}\right)}\]
↓
\[\frac{x - y}{\log \left(\frac{x}{y}\right)}\]
\frac{x - y}{\log \left(\frac{x}{y}\right)}
↓
\frac{x - y}{\log \left(\frac{x}{y}\right)}
double code(double x, double y) {
	return ((double) (((double) (x - y)) / ((double) log(((double) (x / y))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x - y)) / ((double) log(((double) (x / 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 15.0

    \[\frac{x - y}{\log \left(\frac{x}{y}\right)}\]

  2. Final simplification15.0

    \[\leadsto \frac{x - y}{\log \left(\frac{x}{y}\right)}\]

Reproduce

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