Average Error: 0.0 → 0.0
Time: 8.4s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-\left(n + f\right)}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-\left(n + f\right)}{f - n}
double f(double f, double n) {
        double r227805 = f;
        double r227806 = n;
        double r227807 = r227805 + r227806;
        double r227808 = -r227807;
        double r227809 = r227805 - r227806;
        double r227810 = r227808 / r227809;
        return r227810;
}
↓
double f(double f, double n) {
        double r227811 = n;
        double r227812 = f;
        double r227813 = r227811 + r227812;
        double r227814 = -r227813;
        double r227815 = r227812 - r227811;
        double r227816 = r227814 / r227815;
        return r227816;
}

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

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

Reproduce

herbie shell --seed 2019128 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))