Average Error: 0.0 → 0.0
Time: 8.5s
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 r351055 = 1.0;
        double r351056 = x;
        double r351057 = r351055 / r351056;
        double r351058 = r351057 - r351055;
        double r351059 = log(r351058);
        double r351060 = -r351059;
        return r351060;
}
↓
double f(double x) {
        double r351061 = 1.0;
        double r351062 = x;
        double r351063 = r351061 / r351062;
        double r351064 = r351063 - r351061;
        double r351065 = log(r351064);
        double r351066 = -r351065;
        return r351066;
}

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 2019172 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))