Average Error: 0.0 → 0.0
Time: 12.6s
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 r1025510 = f;
        double r1025511 = n;
        double r1025512 = r1025510 + r1025511;
        double r1025513 = -r1025512;
        double r1025514 = r1025510 - r1025511;
        double r1025515 = r1025513 / r1025514;
        return r1025515;
}
↓
double f(double f, double n) {
        double r1025516 = -1.0;
        double r1025517 = f;
        double r1025518 = n;
        double r1025519 = r1025517 + r1025518;
        double r1025520 = r1025517 / r1025519;
        double r1025521 = r1025518 / r1025519;
        double r1025522 = r1025520 - r1025521;
        double r1025523 = r1025516 / r1025522;
        return r1025523;
}

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 2019170 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))