Average Error: 0.0 → 0.0
Time: 26.1s
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 r596835 = 1.0;
        double r596836 = x;
        double r596837 = r596835 / r596836;
        double r596838 = r596837 - r596835;
        double r596839 = log(r596838);
        double r596840 = -r596839;
        return r596840;
}
↓
double f(double x) {
        double r596841 = 1.0;
        double r596842 = x;
        double r596843 = r596841 / r596842;
        double r596844 = r596843 - r596841;
        double r596845 = log(r596844);
        double r596846 = -r596845;
        return r596846;
}

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 2019124 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))