Average Error: 0.0 → 0.0
Time: 14.6s
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 r1061627 = f;
        double r1061628 = n;
        double r1061629 = r1061627 + r1061628;
        double r1061630 = -r1061629;
        double r1061631 = r1061627 - r1061628;
        double r1061632 = r1061630 / r1061631;
        return r1061632;
}
↓
double f(double f, double n) {
        double r1061633 = -1.0;
        double r1061634 = f;
        double r1061635 = n;
        double r1061636 = r1061634 - r1061635;
        double r1061637 = r1061634 + r1061635;
        double r1061638 = r1061636 / r1061637;
        double r1061639 = r1061633 / r1061638;
        return r1061639;
}

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 2019169 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))