Average Error: 0.0 → 0.0
Time: 1.9s
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 r3343 = 1.0;
        double r3344 = x;
        double r3345 = r3343 / r3344;
        double r3346 = r3345 - r3343;
        double r3347 = log(r3346);
        double r3348 = -r3347;
        return r3348;
}
↓
double f(double x) {
        double r3349 = 1.0;
        double r3350 = x;
        double r3351 = r3349 / r3350;
        double r3352 = r3351 - r3349;
        double r3353 = log(r3352);
        double r3354 = -r3353;
        return r3354;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))