Average Error: 0.0 → 0.0
Time: 6.3s
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 r10072 = 1.0;
        double r10073 = x;
        double r10074 = r10072 / r10073;
        double r10075 = r10074 - r10072;
        double r10076 = log(r10075);
        double r10077 = -r10076;
        return r10077;
}
↓
double f(double x) {
        double r10078 = 1.0;
        double r10079 = x;
        double r10080 = r10078 / r10079;
        double r10081 = r10080 - r10078;
        double r10082 = log(r10081);
        double r10083 = -r10082;
        return r10083;
}

Error

Bits error versus x

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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 2019179 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))