Average Error: 0.0 → 0.0
Time: 5.3s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-\left(f + n\right)}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-\left(f + n\right)}{f - n}
double f(double f, double n) {
        double r22451 = f;
        double r22452 = n;
        double r22453 = r22451 + r22452;
        double r22454 = -r22453;
        double r22455 = r22451 - r22452;
        double r22456 = r22454 / r22455;
        return r22456;
}
↓
double f(double f, double n) {
        double r22457 = f;
        double r22458 = n;
        double r22459 = r22457 + r22458;
        double r22460 = -r22459;
        double r22461 = r22457 - r22458;
        double r22462 = r22460 / r22461;
        return r22462;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019362 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))