Average Error: 0.0 → 0.0
Time: 13.9s
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 r25723 = 1.0;
        double r25724 = x;
        double r25725 = r25723 / r25724;
        double r25726 = r25725 - r25723;
        double r25727 = log(r25726);
        double r25728 = -r25727;
        return r25728;
}
↓
double f(double x) {
        double r25729 = 1.0;
        double r25730 = x;
        double r25731 = r25729 / r25730;
        double r25732 = r25731 - r25729;
        double r25733 = log(r25732);
        double r25734 = -r25733;
        return r25734;
}

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 2019195 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))