Average Error: 0.0 → 0.0
Time: 6.4s
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 r179630 = 1.0;
        double r179631 = x;
        double r179632 = r179630 / r179631;
        double r179633 = r179632 - r179630;
        double r179634 = log(r179633);
        double r179635 = -r179634;
        return r179635;
}
↓
double f(double x) {
        double r179636 = 1.0;
        double r179637 = x;
        double r179638 = r179636 / r179637;
        double r179639 = r179638 - r179636;
        double r179640 = log(r179639);
        double r179641 = -r179640;
        return r179641;
}

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 2019158 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))