Average Error: 0.0 → 0.0
Time: 15.6s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[-\frac{n + f}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
-\frac{n + f}{f - n}
double f(double f, double n) {
        double r704131 = f;
        double r704132 = n;
        double r704133 = r704131 + r704132;
        double r704134 = -r704133;
        double r704135 = r704131 - r704132;
        double r704136 = r704134 / r704135;
        return r704136;
}
↓
double f(double f, double n) {
        double r704137 = n;
        double r704138 = f;
        double r704139 = r704137 + r704138;
        double r704140 = r704138 - r704137;
        double r704141 = r704139 / r704140;
        double r704142 = -r704141;
        return r704142;
}

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. Using strategy rm

  6. Applied div-inv0.0

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

  7. Simplified0.0

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

  8. Final simplification0.0

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

Reproduce

herbie shell --seed 2019144 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))