Average Error: 0.0 → 0.0
Time: 17.0s
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 r31796 = 1.0;
        double r31797 = x;
        double r31798 = r31796 / r31797;
        double r31799 = r31798 - r31796;
        double r31800 = log(r31799);
        double r31801 = -r31800;
        return r31801;
}
↓
double f(double x) {
        double r31802 = 1.0;
        double r31803 = x;
        double r31804 = r31802 / r31803;
        double r31805 = r31804 - r31802;
        double r31806 = log(r31805);
        double r31807 = -r31806;
        return r31807;
}

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 2019209 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))