Average Error: 0.0 → 0.0
Time: 8.0s
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 r8810 = 1.0;
        double r8811 = x;
        double r8812 = r8810 / r8811;
        double r8813 = r8812 - r8810;
        double r8814 = log(r8813);
        double r8815 = -r8814;
        return r8815;
}
↓
double f(double x) {
        double r8816 = 1.0;
        double r8817 = x;
        double r8818 = r8816 / r8817;
        double r8819 = r8818 - r8816;
        double r8820 = log(r8819);
        double r8821 = -r8820;
        return r8821;
}

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 2019315 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))