Average Error: 0.0 → 0.0
Time: 12.4s
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 r578058 = f;
        double r578059 = n;
        double r578060 = r578058 + r578059;
        double r578061 = -r578060;
        double r578062 = r578058 - r578059;
        double r578063 = r578061 / r578062;
        return r578063;
}
↓
double f(double f, double n) {
        double r578064 = -1.0;
        double r578065 = f;
        double r578066 = n;
        double r578067 = r578065 - r578066;
        double r578068 = r578065 + r578066;
        double r578069 = r578067 / r578068;
        double r578070 = r578064 / r578069;
        return r578070;
}

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 2019132 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))