Average Error: 0.0 → 0.0
Time: 6.4s
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 r128704 = 1.0;
        double r128705 = x;
        double r128706 = r128704 / r128705;
        double r128707 = r128706 - r128704;
        double r128708 = log(r128707);
        double r128709 = -r128708;
        return r128709;
}
↓
double f(double x) {
        double r128710 = 1.0;
        double r128711 = x;
        double r128712 = r128710 / r128711;
        double r128713 = r128712 - r128710;
        double r128714 = log(r128713);
        double r128715 = -r128714;
        return r128715;
}

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 2019192 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))