Average Error: 0.0 → 0.0
Time: 13.1s
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 r289078 = 1.0;
        double r289079 = x;
        double r289080 = r289078 / r289079;
        double r289081 = r289080 - r289078;
        double r289082 = log(r289081);
        double r289083 = -r289082;
        return r289083;
}
↓
double f(double x) {
        double r289084 = 1.0;
        double r289085 = x;
        double r289086 = r289084 / r289085;
        double r289087 = r289086 - r289084;
        double r289088 = log(r289087);
        double r289089 = -r289088;
        return r289089;
}

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 2019144 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))