Average Error: 0.0 → 0.0
Time: 1.4s
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 r5853 = 1.0;
        double r5854 = x;
        double r5855 = r5853 / r5854;
        double r5856 = r5855 - r5853;
        double r5857 = log(r5856);
        double r5858 = -r5857;
        return r5858;
}
↓
double f(double x) {
        double r5859 = 1.0;
        double r5860 = x;
        double r5861 = r5859 / r5860;
        double r5862 = r5861 - r5859;
        double r5863 = log(r5862);
        double r5864 = -r5863;
        return r5864;
}

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 2020003 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))