Average Error: 0.0 → 0.0
Time: 3.3s
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 r8059 = 1.0;
        double r8060 = x;
        double r8061 = r8059 / r8060;
        double r8062 = r8061 - r8059;
        double r8063 = log(r8062);
        double r8064 = -r8063;
        return r8064;
}
↓
double f(double x) {
        double r8065 = 1.0;
        double r8066 = x;
        double r8067 = r8065 / r8066;
        double r8068 = r8067 - r8065;
        double r8069 = log(r8068);
        double r8070 = -r8069;
        return r8070;
}

Error

Bits error versus x

Try it out

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 2019194 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))