Average Error: 0.0 → 0.0
Time: 5.4s
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 r174353 = 1.0;
        double r174354 = x;
        double r174355 = r174353 / r174354;
        double r174356 = r174355 - r174353;
        double r174357 = log(r174356);
        double r174358 = -r174357;
        return r174358;
}
↓
double f(double x) {
        double r174359 = 1.0;
        double r174360 = x;
        double r174361 = r174359 / r174360;
        double r174362 = r174361 - r174359;
        double r174363 = log(r174362);
        double r174364 = -r174363;
        return r174364;
}

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 2019171 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))