Average Error: 0.0 → 0.0
Time: 6.1s
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 r518471 = 1.0;
        double r518472 = x;
        double r518473 = r518471 / r518472;
        double r518474 = r518473 - r518471;
        double r518475 = log(r518474);
        double r518476 = -r518475;
        return r518476;
}
↓
double f(double x) {
        double r518477 = 1.0;
        double r518478 = x;
        double r518479 = r518477 / r518478;
        double r518480 = r518479 - r518477;
        double r518481 = log(r518480);
        double r518482 = -r518481;
        return r518482;
}

Error

Bits error versus x

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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 2019173 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))