Average Error: 0.0 → 0.0
Time: 15.1s
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 r201613 = 1.0;
        double r201614 = x;
        double r201615 = r201613 / r201614;
        double r201616 = r201615 - r201613;
        double r201617 = log(r201616);
        double r201618 = -r201617;
        return r201618;
}
↓
double f(double x) {
        double r201619 = 1.0;
        double r201620 = x;
        double r201621 = r201619 / r201620;
        double r201622 = r201621 - r201619;
        double r201623 = log(r201622);
        double r201624 = -r201623;
        return r201624;
}

Error

Bits error versus x

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Results

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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 2019107 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))