Average Error: 0.0 → 0.0
Time: 3.8s
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 r8581 = 1.0;
        double r8582 = x;
        double r8583 = r8581 / r8582;
        double r8584 = r8583 - r8581;
        double r8585 = log(r8584);
        double r8586 = -r8585;
        return r8586;
}
↓
double f(double x) {
        double r8587 = 1.0;
        double r8588 = x;
        double r8589 = r8587 / r8588;
        double r8590 = r8589 - r8587;
        double r8591 = log(r8590);
        double r8592 = -r8591;
        return r8592;
}

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 2019168 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))