Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
-\log \left(\frac{1}{x} - 1\right)
↓
-\log \left(\frac{1}{x} - 1\right)
double f(double x) {
        double r7687 = 1.0;
        double r7688 = x;
        double r7689 = r7687 / r7688;
        double r7690 = r7689 - r7687;
        double r7691 = log(r7690);
        double r7692 = -r7691;
        return r7692;
}
↓
double f(double x) {
        double r7693 = 1.0;
        double r7694 = x;
        double r7695 = r7693 / r7694;
        double r7696 = r7695 - r7693;
        double r7697 = log(r7696);
        double r7698 = -r7697;
        return r7698;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020060 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))