Average Error: 0.0 → 0.0
Time: 1.7s
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 r2274 = 1.0;
        double r2275 = x;
        double r2276 = r2274 / r2275;
        double r2277 = r2276 - r2274;
        double r2278 = log(r2277);
        double r2279 = -r2278;
        return r2279;
}
↓
double f(double x) {
        double r2280 = 1.0;
        double r2281 = x;
        double r2282 = r2280 / r2281;
        double r2283 = r2282 - r2280;
        double r2284 = log(r2283);
        double r2285 = -r2284;
        return r2285;
}

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 2020089 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))