Average Error: 0.0 → 0.0
Time: 2.5s
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 r4908 = 1.0;
        double r4909 = x;
        double r4910 = r4908 / r4909;
        double r4911 = r4910 - r4908;
        double r4912 = log(r4911);
        double r4913 = -r4912;
        return r4913;
}
↓
double f(double x) {
        double r4914 = 1.0;
        double r4915 = x;
        double r4916 = r4914 / r4915;
        double r4917 = r4916 - r4914;
        double r4918 = log(r4917);
        double r4919 = -r4918;
        return r4919;
}

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 2020081 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))