Average Error: 0.1 → 0.1
Time: 808.0ms
Precision: binary64
\[\log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)\]
↓
\[\log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)\]
\log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)
↓
\log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)
double code(double x) {
	return ((double) (((double) log(5.0)) + ((double) log1p(((double) (x / 5.0))))));
}
↓
double code(double x) {
	return ((double) (((double) log(5.0)) + ((double) log1p(((double) (x / 5.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)\]

  2. Final simplification0.1

    \[\leadsto \log 5 + \mathsf{log1p}\left(\frac{x}{5}\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (log 5) (log1p (/ x 5)))"
  :precision binary64
  (+ (log 5.0) (log1p (/ x 5.0))))