Average Error: 0.0 → 0.0
Time: 7.7s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-\left(f + n\right)}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-\left(f + n\right)}{f - n}
double f(double f, double n) {
        double r20434 = f;
        double r20435 = n;
        double r20436 = r20434 + r20435;
        double r20437 = -r20436;
        double r20438 = r20434 - r20435;
        double r20439 = r20437 / r20438;
        return r20439;
}
↓
double f(double f, double n) {
        double r20440 = f;
        double r20441 = n;
        double r20442 = r20440 + r20441;
        double r20443 = -r20442;
        double r20444 = r20440 - r20441;
        double r20445 = r20443 / r20444;
        return r20445;
}

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. Final simplification0.0

    \[\leadsto \frac{-\left(f + n\right)}{f - n}\]

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))