Average Error: 0.0 → 0.0
Time: 4.5s
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 r8353 = 1.0;
        double r8354 = x;
        double r8355 = r8353 / r8354;
        double r8356 = r8355 - r8353;
        double r8357 = log(r8356);
        double r8358 = -r8357;
        return r8358;
}
↓
double f(double x) {
        double r8359 = 1.0;
        double r8360 = x;
        double r8361 = r8359 / r8360;
        double r8362 = r8361 - r8359;
        double r8363 = log(r8362);
        double r8364 = -r8363;
        return r8364;
}

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 2019139 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))