Average Error: 0.0 → 0.0
Time: 3.7s
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 r13979 = f;
        double r13980 = n;
        double r13981 = r13979 + r13980;
        double r13982 = -r13981;
        double r13983 = r13979 - r13980;
        double r13984 = r13982 / r13983;
        return r13984;
}
↓
double f(double f, double n) {
        double r13985 = f;
        double r13986 = n;
        double r13987 = r13985 + r13986;
        double r13988 = -r13987;
        double r13989 = r13985 - r13986;
        double r13990 = r13988 / r13989;
        return r13990;
}

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 2020001 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))