Average Error: 0.0 → 0.0
Time: 4.0s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{1}{\frac{f - n}{-\left(f + n\right)}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{1}{\frac{f - n}{-\left(f + n\right)}}
double f(double f, double n) {
        double r16743 = f;
        double r16744 = n;
        double r16745 = r16743 + r16744;
        double r16746 = -r16745;
        double r16747 = r16743 - r16744;
        double r16748 = r16746 / r16747;
        return r16748;
}
↓
double f(double f, double n) {
        double r16749 = 1.0;
        double r16750 = f;
        double r16751 = n;
        double r16752 = r16750 - r16751;
        double r16753 = r16750 + r16751;
        double r16754 = -r16753;
        double r16755 = r16752 / r16754;
        double r16756 = r16749 / r16755;
        return r16756;
}

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 clear-num0.0

    \[\leadsto \color{blue}{\frac{1}{\frac{f - n}{-\left(f + n\right)}}}\]

  4. Final simplification0.0

    \[\leadsto \frac{1}{\frac{f - n}{-\left(f + n\right)}}\]

Reproduce

herbie shell --seed 2020060 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))