Average Error: 0.0 → 0.0
Time: 17.1s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{1}{\frac{f - n}{-\left(f + n\right)}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{1}{\frac{f - n}{-\left(f + n\right)}}
double f(double f, double n) {
        double r27534 = f;
        double r27535 = n;
        double r27536 = r27534 + r27535;
        double r27537 = -r27536;
        double r27538 = r27534 - r27535;
        double r27539 = r27537 / r27538;
        return r27539;
}
↓
double f(double f, double n) {
        double r27540 = 1.0;
        double r27541 = f;
        double r27542 = n;
        double r27543 = r27541 - r27542;
        double r27544 = r27541 + r27542;
        double r27545 = -r27544;
        double r27546 = r27543 / r27545;
        double r27547 = r27540 / r27546;
        return r27547;
}

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 clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))