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 r3287 = 1.0;
        double r3288 = x;
        double r3289 = r3287 / r3288;
        double r3290 = r3289 - r3287;
        double r3291 = log(r3290);
        double r3292 = -r3291;
        return r3292;
}
↓
double f(double x) {
        double r3293 = 1.0;
        double r3294 = x;
        double r3295 = r3293 / r3294;
        double r3296 = r3295 - r3293;
        double r3297 = log(r3296);
        double r3298 = -r3297;
        return r3298;
}

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 2020064 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))