Average Error: 0.0 → 0.0
Time: 2.2s
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 r6591 = 1.0;
        double r6592 = x;
        double r6593 = r6591 / r6592;
        double r6594 = r6593 - r6591;
        double r6595 = log(r6594);
        double r6596 = -r6595;
        return r6596;
}
↓
double f(double x) {
        double r6597 = 1.0;
        double r6598 = x;
        double r6599 = r6597 / r6598;
        double r6600 = r6599 - r6597;
        double r6601 = log(r6600);
        double r6602 = -r6601;
        return r6602;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))