Average Error: 0.0 → 0.0
Time: 6.1s
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 r8978 = 1.0;
        double r8979 = x;
        double r8980 = r8978 / r8979;
        double r8981 = r8980 - r8978;
        double r8982 = log(r8981);
        double r8983 = -r8982;
        return r8983;
}
↓
double f(double x) {
        double r8984 = 1.0;
        double r8985 = x;
        double r8986 = r8984 / r8985;
        double r8987 = r8986 - r8984;
        double r8988 = log(r8987);
        double r8989 = -r8988;
        return r8989;
}

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 2019315 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))