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

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.6

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

  2. Final simplification29.6

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

Reproduce

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