Average Error: 0.0 → 0.0
Time: 2.2s
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 r6931 = 1.0;
        double r6932 = x;
        double r6933 = r6931 / r6932;
        double r6934 = r6933 - r6931;
        double r6935 = log(r6934);
        double r6936 = -r6935;
        return r6936;
}
↓
double f(double x) {
        double r6937 = 1.0;
        double r6938 = x;
        double r6939 = r6937 / r6938;
        double r6940 = r6939 - r6937;
        double r6941 = log(r6940);
        double r6942 = -r6941;
        return r6942;
}

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 2019356 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))