Average Error: 0.0 → 0.0
Time: 16.0s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
double f(double x) {
        double r497032 = 1.0;
        double r497033 = x;
        double r497034 = r497032 / r497033;
        double r497035 = r497034 - r497032;
        double r497036 = log(r497035);
        double r497037 = -r497036;
        return r497037;
}
↓
double f(double x) {
        double r497038 = 1.0;
        double r497039 = x;
        double r497040 = r497038 / r497039;
        double r497041 = r497040 - r497038;
        double r497042 = log(r497041);
        double r497043 = -r497042;
        return r497043;
}


-\log \left(\frac{1}{x} - 1\right)
↓
-\log \left(\frac{1}{x} - 1\right)

Error

Bits error versus x

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 2019101 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))