Average Error: 0.0 → 0.0
Time: 15.3s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f - n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f - n}{f + n}}
double f(double f, double n) {
        double r420521 = f;
        double r420522 = n;
        double r420523 = r420521 + r420522;
        double r420524 = -r420523;
        double r420525 = r420521 - r420522;
        double r420526 = r420524 / r420525;
        return r420526;
}
↓
double f(double f, double n) {
        double r420527 = -1.0;
        double r420528 = f;
        double r420529 = n;
        double r420530 = r420528 - r420529;
        double r420531 = r420528 + r420529;
        double r420532 = r420530 / r420531;
        double r420533 = r420527 / r420532;
        return r420533;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019152 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))