Average Error: 38.9 → 38.9
Time: 2.2s
Precision: binary64
\[\log \left(\frac{1}{\sqrt{1 + x}}\right)\]
↓
\[\log \left(\frac{1}{\sqrt{1 + x}}\right)\]
\log \left(\frac{1}{\sqrt{1 + x}}\right)
↓
\log \left(\frac{1}{\sqrt{1 + x}}\right)
double code(double x) {
	return ((double) log(((double) (1.0 / ((double) sqrt(((double) (1.0 + x))))))));
}
↓
double code(double x) {
	return ((double) log(((double) (1.0 / ((double) sqrt(((double) (1.0 + x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.9

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

  2. Final simplification38.9

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

Reproduce

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