Average Error: 0.0 → 0.0
Time: 11.7s
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 r248841 = 1.0;
        double r248842 = x;
        double r248843 = r248841 / r248842;
        double r248844 = r248843 - r248841;
        double r248845 = log(r248844);
        double r248846 = -r248845;
        return r248846;
}
↓
double f(double x) {
        double r248847 = 1.0;
        double r248848 = x;
        double r248849 = r248847 / r248848;
        double r248850 = r248849 - r248847;
        double r248851 = log(r248850);
        double r248852 = -r248851;
        return r248852;
}

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 2019162 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))