Average Error: 0.0 → 0.0
Time: 9.2s
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 r458842 = f;
        double r458843 = n;
        double r458844 = r458842 + r458843;
        double r458845 = -r458844;
        double r458846 = r458842 - r458843;
        double r458847 = r458845 / r458846;
        return r458847;
}
↓
double f(double f, double n) {
        double r458848 = -1.0;
        double r458849 = f;
        double r458850 = n;
        double r458851 = r458849 - r458850;
        double r458852 = r458849 + r458850;
        double r458853 = r458851 / r458852;
        double r458854 = r458848 / r458853;
        return r458854;
}

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 2019156 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))