Average Error: 0.0 → 0.0
Time: 4.5s
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 r8560 = 1.0;
        double r8561 = x;
        double r8562 = r8560 / r8561;
        double r8563 = r8562 - r8560;
        double r8564 = log(r8563);
        double r8565 = -r8564;
        return r8565;
}
↓
double f(double x) {
        double r8566 = 1.0;
        double r8567 = x;
        double r8568 = r8566 / r8567;
        double r8569 = r8568 - r8566;
        double r8570 = log(r8569);
        double r8571 = -r8570;
        return r8571;
}

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 2019129 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))