Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{{\left(\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)\right)}^{3}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\sqrt[3]{{\left(\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)\right)}^{3}}
double f(double f, double n) {
        double r30346 = f;
        double r30347 = n;
        double r30348 = r30346 + r30347;
        double r30349 = -r30348;
        double r30350 = r30346 - r30347;
        double r30351 = r30349 / r30350;
        return r30351;
}
↓
double f(double f, double n) {
        double r30352 = f;
        double r30353 = n;
        double r30354 = r30352 + r30353;
        double r30355 = -r30354;
        double r30356 = r30352 - r30353;
        double r30357 = r30355 / r30356;
        double r30358 = exp(r30357);
        double r30359 = log(r30358);
        double r30360 = 3.0;
        double r30361 = pow(r30359, r30360);
        double r30362 = cbrt(r30361);
        return r30362;
}

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-cbrt-cube41.7

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

  4. Applied add-cbrt-cube42.6

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

  5. Applied cbrt-undiv42.6

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

  6. Simplified0.0

    \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{-\left(f + n\right)}{f - n}\right)}^{3}}}\]
  7. Using strategy rm

  8. Applied add-log-exp0.0

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

  9. Final simplification0.0

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

Reproduce

herbie shell --seed 2019318 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))