Average Error: 0.0 → 0.0
Time: 7.0s
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 r26108 = f;
        double r26109 = n;
        double r26110 = r26108 + r26109;
        double r26111 = -r26110;
        double r26112 = r26108 - r26109;
        double r26113 = r26111 / r26112;
        return r26113;
}
↓
double f(double f, double n) {
        double r26114 = 1.0;
        double r26115 = -r26114;
        double r26116 = f;
        double r26117 = n;
        double r26118 = r26116 - r26117;
        double r26119 = r26116 + r26117;
        double r26120 = r26118 / r26119;
        double r26121 = r26115 / r26120;
        return r26121;
}

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 *-un-lft-identity0.0

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

  4. Applied distribute-lft-neg-in0.0

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020100 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))