Average Error: 0.0 → 0.0
Time: 3.2s
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 r11707 = f;
        double r11708 = n;
        double r11709 = r11707 + r11708;
        double r11710 = -r11709;
        double r11711 = r11707 - r11708;
        double r11712 = r11710 / r11711;
        return r11712;
}
↓
double f(double f, double n) {
        double r11713 = f;
        double r11714 = n;
        double r11715 = r11713 + r11714;
        double r11716 = -r11715;
        double r11717 = r11713 - r11714;
        double r11718 = r11716 / r11717;
        return r11718;
}

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 2020001 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))