Average Error: 0.0 → 0.0
Time: 4.5s
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 r20529 = f;
        double r20530 = n;
        double r20531 = r20529 + r20530;
        double r20532 = -r20531;
        double r20533 = r20529 - r20530;
        double r20534 = r20532 / r20533;
        return r20534;
}
↓
double f(double f, double n) {
        double r20535 = 1.0;
        double r20536 = -r20535;
        double r20537 = f;
        double r20538 = n;
        double r20539 = r20537 - r20538;
        double r20540 = r20537 + r20538;
        double r20541 = r20539 / r20540;
        double r20542 = r20536 / r20541;
        return r20542;
}

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 *-un-lft-identity0.0

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

  4. Applied distribute-lft-neg-in0.0

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020056 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))