Average Error: 29.6 → 29.6
Time: 1.8s
Precision: binary64
\[\log \left(N + 1\right) - \log N\]
↓
\[\log \left(N + 1\right) - \log N\]
\log \left(N + 1\right) - \log N
↓
\log \left(N + 1\right) - \log N
double code(double N) {
	return ((double) (((double) log(((double) (N + 1.0)))) - ((double) log(N))));
}
↓
double code(double N) {
	return ((double) (((double) log(((double) (N + 1.0)))) - ((double) log(N))));
}

Error

Bits error versus N

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.6

    \[\log \left(N + 1\right) - \log N\]

  2. Final simplification29.6

    \[\leadsto \log \left(N + 1\right) - \log N\]

Reproduce

herbie shell --seed 2020153 
(FPCore (N)
  :name "(- (log (+ N 1)) (log N))"
  :precision binary64
  (- (log (+ N 1.0)) (log N)))