Average Error: 0.0 → 0.0
Time: 10.0s
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 r21707 = f;
        double r21708 = n;
        double r21709 = r21707 + r21708;
        double r21710 = -r21709;
        double r21711 = r21707 - r21708;
        double r21712 = r21710 / r21711;
        return r21712;
}
↓
double f(double f, double n) {
        double r21713 = f;
        double r21714 = n;
        double r21715 = r21713 + r21714;
        double r21716 = -r21715;
        double r21717 = r21713 - r21714;
        double r21718 = r21716 / r21717;
        return r21718;
}

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 2020047 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))