(- (log (+ x k)) (log k))

Average Error: 30.5 → 30.5

Time: 2.7s

Precision: binary64

Math

\[\log \left(x + k\right) - \log k\]

↓

\[\log \left(x + k\right) - \log k\]

C

double code(double x, double k) {
	return ((double) (((double) log(((double) (x + k)))) - ((double) log(k))));
}

↓

double code(double x, double k) {
	return ((double) (((double) log(((double) (x + k)))) - ((double) log(k))));
}

Error

Bits error versus x

Bits error versus k

Derivation

1. Initial program 30.5

   \[\log \left(x + k\right) - \log k\]

2. Final simplification 30.5

   \[\leadsto \log \left(x + k\right) - \log k\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x k)
  :name "(- (log (+ x k)) (log k))"
  :precision binary64
  (- (log (+ x k)) (log k)))