Average Error: 0.0 → 0.0
Time: 12.4s
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 r278017 = 1.0;
        double r278018 = x;
        double r278019 = r278017 / r278018;
        double r278020 = r278019 - r278017;
        double r278021 = log(r278020);
        double r278022 = -r278021;
        return r278022;
}
↓
double f(double x) {
        double r278023 = 1.0;
        double r278024 = x;
        double r278025 = r278023 / r278024;
        double r278026 = r278025 - r278023;
        double r278027 = log(r278026);
        double r278028 = -r278027;
        return r278028;
}

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 2019130 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))