Average Error: 29.6 → 29.6
Time: 2.1s
Precision: binary64
\[\log \left(\frac{a - c}{b - c}\right)\]
↓
\[\log \left(\frac{a - c}{b - c}\right)\]
\log \left(\frac{a - c}{b - c}\right)
↓
\log \left(\frac{a - c}{b - c}\right)
double code(double a, double c, double b) {
	return ((double) log(((double) (((double) (a - c)) / ((double) (b - c))))));
}
↓
double code(double a, double c, double b) {
	return ((double) log(((double) (((double) (a - c)) / ((double) (b - c))))));
}

Error

Bits error versus a

Bits error versus c

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.6

    \[\log \left(\frac{a - c}{b - c}\right)\]

  2. Final simplification29.6

    \[\leadsto \log \left(\frac{a - c}{b - c}\right)\]

Reproduce

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