Average Error: 0.0 → 0.0
Time: 14.8s
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 r41402 = f;
        double r41403 = n;
        double r41404 = r41402 + r41403;
        double r41405 = -r41404;
        double r41406 = r41402 - r41403;
        double r41407 = r41405 / r41406;
        return r41407;
}
↓
double f(double f, double n) {
        double r41408 = -1.0;
        double r41409 = f;
        double r41410 = n;
        double r41411 = r41409 - r41410;
        double r41412 = r41409 + r41410;
        double r41413 = r41411 / r41412;
        double r41414 = r41408 / r41413;
        return r41414;
}

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 2019195 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))