Average Error: 0.0 → 0.0
Time: 7.4s
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 r10259 = 1.0;
        double r10260 = x;
        double r10261 = r10259 / r10260;
        double r10262 = r10261 - r10259;
        double r10263 = log(r10262);
        double r10264 = -r10263;
        return r10264;
}
↓
double f(double x) {
        double r10265 = 1.0;
        double r10266 = x;
        double r10267 = r10265 / r10266;
        double r10268 = r10267 - r10265;
        double r10269 = log(r10268);
        double r10270 = -r10269;
        return r10270;
}

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 2019347 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))