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 r1342 = 1.0;
        double r1343 = x;
        double r1344 = r1342 / r1343;
        double r1345 = r1344 - r1342;
        double r1346 = log(r1345);
        double r1347 = -r1346;
        return r1347;
}
↓
double f(double x) {
        double r1348 = 1.0;
        double r1349 = x;
        double r1350 = r1348 / r1349;
        double r1351 = r1350 - r1348;
        double r1352 = log(r1351);
        double r1353 = -r1352;
        return r1353;
}

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