Average Error: 60.0 → 60.0
Time: 4.2s
Precision: binary64
\[\frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x\]
↓
\[\frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x\]
\frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x
↓
\frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x
double code(double x) {
	return ((double) (((double) (((double) log(((double) (((double) (1.0 + x)) / ((double) (1.0 - x)))))) / 2.0)) - x));
}
↓
double code(double x) {
	return ((double) (((double) (((double) log(((double) (((double) (1.0 + x)) / ((double) (1.0 - x)))))) / 2.0)) - x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 60.0

    \[\frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x\]

  2. Final simplification60.0

    \[\leadsto \frac{\log \left(\frac{1 + x}{1 - x}\right)}{2} - x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (/ (log (/ (+ 1 x) (- 1 x))) 2) x)"
  :precision binary64
  (- (/ (log (/ (+ 1.0 x) (- 1.0 x))) 2.0) x))