Average Error: 0.0 → 0.0
Time: 6.7s
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 r10085 = 1.0;
        double r10086 = x;
        double r10087 = r10085 / r10086;
        double r10088 = r10087 - r10085;
        double r10089 = log(r10088);
        double r10090 = -r10089;
        return r10090;
}
↓
double f(double x) {
        double r10091 = 1.0;
        double r10092 = x;
        double r10093 = r10091 / r10092;
        double r10094 = r10093 - r10091;
        double r10095 = log(r10094);
        double r10096 = -r10095;
        return r10096;
}

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 2019196 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))