Average Error: 0.0 → 0.0
Time: 32.1s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}
double f(double f, double n) {
        double r1019428 = f;
        double r1019429 = n;
        double r1019430 = r1019428 + r1019429;
        double r1019431 = -r1019430;
        double r1019432 = r1019428 - r1019429;
        double r1019433 = r1019431 / r1019432;
        return r1019433;
}
↓
double f(double f, double n) {
        double r1019434 = -1.0;
        double r1019435 = f;
        double r1019436 = n;
        double r1019437 = r1019435 + r1019436;
        double r1019438 = r1019435 / r1019437;
        double r1019439 = r1019436 / r1019437;
        double r1019440 = r1019438 - r1019439;
        double r1019441 = r1019434 / r1019440;
        return r1019441;
}

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 neg-mul-10.0

    \[\leadsto \frac{\color{blue}{-1 \cdot \left(f + n\right)}}{f - n}\]

  4. Applied associate-/l*0.0

    \[\leadsto \color{blue}{\frac{-1}{\frac{f - n}{f + n}}}\]
  5. Using strategy rm

  6. Applied div-sub0.0

    \[\leadsto \frac{-1}{\color{blue}{\frac{f}{f + n} - \frac{n}{f + n}}}\]

  7. Final simplification0.0

    \[\leadsto \frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))