Average Error: 0.6 → 0.6
Time: 1.5m
Precision: binary64
\[\log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)\]
↓
\[\log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)\]
\log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)
↓
\log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)
double code(double x) {
	return ((double) log(((double) (((double) lgamma(x)) / ((double) log(x))))));
}
↓
double code(double x) {
	return ((double) log(((double) (((double) lgamma(x)) / ((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 0.6

    \[\log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)\]

  2. Final simplification0.6

    \[\leadsto \log \left(\frac{\mathsf{lgamma} \left( x \right)}{\log x}\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(log (/ (lgamma x) (log x)))"
  :precision binary64
  (log (/ (lgamma x) (log x))))