Average Error: 0.0 → 0.0
Time: 8.0s
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 r140581 = 1.0;
        double r140582 = x;
        double r140583 = r140581 / r140582;
        double r140584 = r140583 - r140581;
        double r140585 = log(r140584);
        double r140586 = -r140585;
        return r140586;
}
↓
double f(double x) {
        double r140587 = 1.0;
        double r140588 = x;
        double r140589 = r140587 / r140588;
        double r140590 = r140589 - r140587;
        double r140591 = log(r140590);
        double r140592 = -r140591;
        return r140592;
}

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 2019134 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))