Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\sqrt{\log a} - \sqrt{a - 1}\]
↓
\[\sqrt{\log a} - \sqrt{a - 1}\]
\sqrt{\log a} - \sqrt{a - 1}
↓
\sqrt{\log a} - \sqrt{a - 1}
double code(double a) {
	return ((double) (((double) sqrt(((double) log(a)))) - ((double) sqrt(((double) (a - 1.0))))));
}
↓
double code(double a) {
	return ((double) (((double) sqrt(((double) log(a)))) - ((double) sqrt(((double) (a - 1.0))))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\log a} - \sqrt{a - 1}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\log a} - \sqrt{a - 1}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(- (sqrt (log a)) (sqrt (- a 1)))"
  :precision binary64
  (- (sqrt (log a)) (sqrt (- a 1.0))))