Average Error: 0.3 → 0.0
Time: 1.9s
Precision: binary64
\[\]
\[\]
double code(double x) {
	return ((double) (((double) log(x)) - ((double) log(((double) log(x))))));
}
double code(double x) {
	return ((double) log(((double) (((double) sqrt(x)) * ((double) (((double) sqrt(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 0.3

    \[\]
  2. Using strategy rm
  3. Applied diff-log0.0

    \[\leadsto \]
  4. Using strategy rm
  5. Applied pow10.0

    \[\leadsto \]
  6. Applied log-pow0.0

    \[\leadsto \]
  7. Applied add-sqr-sqrt0.0

    \[\leadsto \]
  8. Applied times-frac0.0

    \[\leadsto \]
  9. Simplified0.0

    \[\leadsto \]
  10. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x)
  :name "Jmat.Real.lambertw, estimator"
  :precision binary64
  (- (log x) (log (log x))))