Average Error: 0.0 → 0.0
Time: 3.9s
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 r8425 = 1.0;
        double r8426 = x;
        double r8427 = r8425 / r8426;
        double r8428 = r8427 - r8425;
        double r8429 = log(r8428);
        double r8430 = -r8429;
        return r8430;
}
↓
double f(double x) {
        double r8431 = 1.0;
        double r8432 = x;
        double r8433 = r8431 / r8432;
        double r8434 = r8433 - r8431;
        double r8435 = log(r8434);
        double r8436 = -r8435;
        return r8436;
}

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 2019152 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))