Average Error: 0.0 → 0.0
Time: 21.8s
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 r594464 = f;
        double r594465 = n;
        double r594466 = r594464 + r594465;
        double r594467 = -r594466;
        double r594468 = r594464 - r594465;
        double r594469 = r594467 / r594468;
        return r594469;
}
↓
double f(double f, double n) {
        double r594470 = -1.0;
        double r594471 = f;
        double r594472 = n;
        double r594473 = r594471 - r594472;
        double r594474 = r594471 + r594472;
        double r594475 = r594473 / r594474;
        double r594476 = r594470 / r594475;
        return r594476;
}

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 2019130 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))