Average Error: 0.0 → 0.0
Time: 21.0s
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 r1083337 = f;
        double r1083338 = n;
        double r1083339 = r1083337 + r1083338;
        double r1083340 = -r1083339;
        double r1083341 = r1083337 - r1083338;
        double r1083342 = r1083340 / r1083341;
        return r1083342;
}
↓
double f(double f, double n) {
        double r1083343 = n;
        double r1083344 = f;
        double r1083345 = r1083343 + r1083344;
        double r1083346 = -r1083345;
        double r1083347 = r1083344 - r1083343;
        double r1083348 = r1083346 / r1083347;
        double r1083349 = exp(r1083348);
        double r1083350 = log(r1083349);
        return r1083350;
}

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 2019171 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))