Average Error: 0.0 → 0.0
Time: 11.9s
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 r126569 = 1.0;
        double r126570 = x;
        double r126571 = r126569 / r126570;
        double r126572 = r126571 - r126569;
        double r126573 = log(r126572);
        double r126574 = -r126573;
        return r126574;
}
↓
double f(double x) {
        double r126575 = 1.0;
        double r126576 = x;
        double r126577 = r126575 / r126576;
        double r126578 = r126577 - r126575;
        double r126579 = log(r126578);
        double r126580 = -r126579;
        return r126580;
}

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 2019121 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))