Average Error: 0.6 → 0.6
Time: 2.1s
Precision: binary64
\[\frac{a - b}{\log a - \log b}\]
↓
\[\frac{a - b}{\log a - \log b}\]
\frac{a - b}{\log a - \log b}
↓
\frac{a - b}{\log a - \log b}
double code(double a, double b) {
	return ((double) (((double) (a - b)) / ((double) (((double) log(a)) - ((double) log(b))))));
}
↓
double code(double a, double b) {
	return ((double) (((double) (a - b)) / ((double) (((double) log(a)) - ((double) log(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 0.6

    \[\frac{a - b}{\log a - \log b}\]

  2. Final simplification0.6

    \[\leadsto \frac{a - b}{\log a - \log b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(/ (- a b) (- (log a) (log b)))"
  :precision binary64
  (/ (- a b) (- (log a) (log b))))