Average Error: 0.0 → 0.0
Time: 1.1s
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 r1323 = 1.0;
        double r1324 = x;
        double r1325 = r1323 / r1324;
        double r1326 = r1325 - r1323;
        double r1327 = log(r1326);
        double r1328 = -r1327;
        return r1328;
}
↓
double f(double x) {
        double r1329 = 1.0;
        double r1330 = x;
        double r1331 = r1329 / r1330;
        double r1332 = r1331 - r1329;
        double r1333 = log(r1332);
        double r1334 = -r1333;
        return r1334;
}

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 2020018 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))