Average Error: 0.0 → 0.0
Time: 3.7s
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 r15521 = f;
        double r15522 = n;
        double r15523 = r15521 + r15522;
        double r15524 = -r15523;
        double r15525 = r15521 - r15522;
        double r15526 = r15524 / r15525;
        return r15526;
}
↓
double f(double f, double n) {
        double r15527 = f;
        double r15528 = n;
        double r15529 = r15527 + r15528;
        double r15530 = -r15529;
        double r15531 = r15527 - r15528;
        double r15532 = r15530 / r15531;
        return r15532;
}

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 2020062 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))