Average Error: 16.0 → 16.0
Time: 1.4s
Precision: binary64
\[\log x + \sqrt{{x}^{2}}\]
↓
\[\log x + \sqrt{{x}^{2}}\]
\log x + \sqrt{{x}^{2}}
↓
\log x + \sqrt{{x}^{2}}
double code(double x) {
	return ((double) (((double) log(x)) + ((double) sqrt(((double) pow(x, 2.0))))));
}
↓
double code(double x) {
	return ((double) (((double) log(x)) + ((double) sqrt(((double) pow(x, 2.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.0

    \[\log x + \sqrt{{x}^{2}}\]

  2. Final simplification16.0

    \[\leadsto \log x + \sqrt{{x}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (log x) (sqrt (pow x 2)))"
  :precision binary64
  (+ (log x) (sqrt (pow x 2.0))))