Average Error: 0.0 → 0.0
Time: 11.9s
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 r245950 = 1.0;
        double r245951 = x;
        double r245952 = r245950 / r245951;
        double r245953 = r245952 - r245950;
        double r245954 = log(r245953);
        double r245955 = -r245954;
        return r245955;
}
↓
double f(double x) {
        double r245956 = 1.0;
        double r245957 = x;
        double r245958 = r245956 / r245957;
        double r245959 = r245958 - r245956;
        double r245960 = log(r245959);
        double r245961 = -r245960;
        return r245961;
}

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 2019141 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))