Average Error: 0.0 → 0.0
Time: 4.2s
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 r8551 = 1.0;
        double r8552 = x;
        double r8553 = r8551 / r8552;
        double r8554 = r8553 - r8551;
        double r8555 = log(r8554);
        double r8556 = -r8555;
        return r8556;
}
↓
double f(double x) {
        double r8557 = 1.0;
        double r8558 = x;
        double r8559 = r8557 / r8558;
        double r8560 = r8559 - r8557;
        double r8561 = log(r8560);
        double r8562 = -r8561;
        return r8562;
}

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 2019112 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))