Average Error: 0.0 → 0.0
Time: 1.2s
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 r2672 = 1.0;
        double r2673 = x;
        double r2674 = r2672 / r2673;
        double r2675 = r2674 - r2672;
        double r2676 = log(r2675);
        double r2677 = -r2676;
        return r2677;
}
↓
double f(double x) {
        double r2678 = 1.0;
        double r2679 = x;
        double r2680 = r2678 / r2679;
        double r2681 = r2680 - r2678;
        double r2682 = log(r2681);
        double r2683 = -r2682;
        return r2683;
}

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 2020002 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))