Average Error: 0.0 → 0.0
Time: 1.1s
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 r8726 = 1.0;
        double r8727 = x;
        double r8728 = r8726 / r8727;
        double r8729 = r8728 - r8726;
        double r8730 = log(r8729);
        double r8731 = -r8730;
        return r8731;
}
↓
double f(double x) {
        double r8732 = 1.0;
        double r8733 = x;
        double r8734 = r8732 / r8733;
        double r8735 = r8734 - r8732;
        double r8736 = log(r8735);
        double r8737 = -r8736;
        return r8737;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))