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

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x - 1} - \log \left(\sqrt{x}\right)\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x - 1} - \log \left(\sqrt{x}\right)\]

Reproduce

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