Average Error: 0.0 → 0.0
Time: 6.9s
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 r179633 = 1.0;
        double r179634 = x;
        double r179635 = r179633 / r179634;
        double r179636 = r179635 - r179633;
        double r179637 = log(r179636);
        double r179638 = -r179637;
        return r179638;
}
↓
double f(double x) {
        double r179639 = 1.0;
        double r179640 = x;
        double r179641 = r179639 / r179640;
        double r179642 = r179641 - r179639;
        double r179643 = log(r179642);
        double r179644 = -r179643;
        return r179644;
}

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))))