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 r6840 = 1.0;
        double r6841 = x;
        double r6842 = r6840 / r6841;
        double r6843 = r6842 - r6840;
        double r6844 = log(r6843);
        double r6845 = -r6844;
        return r6845;
}
↓
double f(double x) {
        double r6846 = 1.0;
        double r6847 = x;
        double r6848 = r6846 / r6847;
        double r6849 = r6848 - r6846;
        double r6850 = log(r6849);
        double r6851 = -r6850;
        return r6851;
}

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 2020020 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))