Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)\]
\frac{-\left(f + n\right)}{f - n}
↓
\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)
double f(double f, double n) {
        double r35290 = f;
        double r35291 = n;
        double r35292 = r35290 + r35291;
        double r35293 = -r35292;
        double r35294 = r35290 - r35291;
        double r35295 = r35293 / r35294;
        return r35295;
}
↓
double f(double f, double n) {
        double r35296 = f;
        double r35297 = n;
        double r35298 = r35296 + r35297;
        double r35299 = -r35298;
        double r35300 = r35296 - r35297;
        double r35301 = r35299 / r35300;
        double r35302 = exp(r35301);
        double r35303 = log(r35302);
        return r35303;
}

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

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

Reproduce

herbie shell --seed 2019322 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))