Average Error: 0.0 → 0.0
Time: 17.6s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log \left(e^{\frac{-\left(n + f\right)}{f - n}}\right)\]
\frac{-\left(f + n\right)}{f - n}
↓
\log \left(e^{\frac{-\left(n + f\right)}{f - n}}\right)
double f(double f, double n) {
        double r499797 = f;
        double r499798 = n;
        double r499799 = r499797 + r499798;
        double r499800 = -r499799;
        double r499801 = r499797 - r499798;
        double r499802 = r499800 / r499801;
        return r499802;
}
↓
double f(double f, double n) {
        double r499803 = n;
        double r499804 = f;
        double r499805 = r499803 + r499804;
        double r499806 = -r499805;
        double r499807 = r499804 - r499803;
        double r499808 = r499806 / r499807;
        double r499809 = exp(r499808);
        double r499810 = log(r499809);
        return r499810;
}

Error

Bits error versus f

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{-\left(f + n\right)}{f - n}\]
  2. Using strategy rm

  3. Applied add-log-exp0.0

    \[\leadsto \color{blue}{\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)}\]

  4. Final simplification0.0

    \[\leadsto \log \left(e^{\frac{-\left(n + f\right)}{f - n}}\right)\]

Reproduce

herbie shell --seed 2019129 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))