Average Error: 0.0 → 0.0
Time: 3.1s
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 r26935 = 1.0;
        double r26936 = x;
        double r26937 = r26935 / r26936;
        double r26938 = r26937 - r26935;
        double r26939 = log(r26938);
        double r26940 = -r26939;
        return r26940;
}
↓
double f(double x) {
        double r26941 = 1.0;
        double r26942 = x;
        double r26943 = r26941 / r26942;
        double r26944 = r26943 - r26941;
        double r26945 = log(r26944);
        double r26946 = -r26945;
        return r26946;
}

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 2019318 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))