Average Error: 0.0 → 0.0
Time: 43.8s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log \left(\sqrt[3]{\left(e^{\frac{-\left(n + f\right)}{f - n}} \cdot e^{\frac{-\left(n + f\right)}{f - n}}\right) \cdot e^{\frac{-\left(n + f\right)}{f - n}}}\right)\]
\frac{-\left(f + n\right)}{f - n}
↓
\log \left(\sqrt[3]{\left(e^{\frac{-\left(n + f\right)}{f - n}} \cdot e^{\frac{-\left(n + f\right)}{f - n}}\right) \cdot e^{\frac{-\left(n + f\right)}{f - n}}}\right)
double f(double f, double n) {
        double r641401 = f;
        double r641402 = n;
        double r641403 = r641401 + r641402;
        double r641404 = -r641403;
        double r641405 = r641401 - r641402;
        double r641406 = r641404 / r641405;
        return r641406;
}
↓
double f(double f, double n) {
        double r641407 = n;
        double r641408 = f;
        double r641409 = r641407 + r641408;
        double r641410 = -r641409;
        double r641411 = r641408 - r641407;
        double r641412 = r641410 / r641411;
        double r641413 = exp(r641412);
        double r641414 = r641413 * r641413;
        double r641415 = r641414 * r641413;
        double r641416 = cbrt(r641415);
        double r641417 = log(r641416);
        return r641417;
}

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. Using strategy rm

  5. Applied add-cbrt-cube0.0

    \[\leadsto \log \color{blue}{\left(\sqrt[3]{\left(e^{\frac{-\left(f + n\right)}{f - n}} \cdot e^{\frac{-\left(f + n\right)}{f - n}}\right) \cdot e^{\frac{-\left(f + n\right)}{f - n}}}\right)}\]

  6. Final simplification0.0

    \[\leadsto \log \left(\sqrt[3]{\left(e^{\frac{-\left(n + f\right)}{f - n}} \cdot e^{\frac{-\left(n + f\right)}{f - n}}\right) \cdot e^{\frac{-\left(n + f\right)}{f - n}}}\right)\]

Reproduce

herbie shell --seed 2019153 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))