Average Error: 0.0 → 0.0
Time: 3.8s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f - n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f - n}{f + n}}
double f(double f, double n) {
        double r13641 = f;
        double r13642 = n;
        double r13643 = r13641 + r13642;
        double r13644 = -r13643;
        double r13645 = r13641 - r13642;
        double r13646 = r13644 / r13645;
        return r13646;
}
↓
double f(double f, double n) {
        double r13647 = -1.0;
        double r13648 = f;
        double r13649 = n;
        double r13650 = r13648 - r13649;
        double r13651 = r13648 + r13649;
        double r13652 = r13650 / r13651;
        double r13653 = r13647 / r13652;
        return r13653;
}

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 neg-mul-10.0

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

  4. Applied associate-/l*0.0

    \[\leadsto \color{blue}{\frac{-1}{\frac{f - n}{f + n}}}\]

  5. Final simplification0.0

    \[\leadsto \frac{-1}{\frac{f - n}{f + n}}\]

Reproduce

herbie shell --seed 2019353 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))