Average Error: 0.3 → 0.3
Time: 2.1s
Precision: binary64
\[\frac{\log \left(x + 1\right)}{\sqrt{x - 1}}\]
↓
\[\frac{\log \left(x + 1\right)}{\sqrt{x - 1}}\]
\frac{\log \left(x + 1\right)}{\sqrt{x - 1}}
↓
\frac{\log \left(x + 1\right)}{\sqrt{x - 1}}
double code(double x) {
	return ((double) (((double) log(((double) (x + 1.0)))) / ((double) sqrt(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) log(((double) (x + 1.0)))) / ((double) sqrt(((double) (x - 1.0))))));
}

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

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

  2. Final simplification0.3

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

Reproduce

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