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 r1790 = 1.0;
        double r1791 = x;
        double r1792 = r1790 / r1791;
        double r1793 = r1792 - r1790;
        double r1794 = log(r1793);
        double r1795 = -r1794;
        return r1795;
}
↓
double f(double x) {
        double r1796 = 1.0;
        double r1797 = x;
        double r1798 = r1796 / r1797;
        double r1799 = r1798 - r1796;
        double r1800 = log(r1799);
        double r1801 = -r1800;
        return r1801;
}

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 2020021 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))