Average Error: 0.0 → 0.0
Time: 4.9s
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 r21226 = f;
        double r21227 = n;
        double r21228 = r21226 + r21227;
        double r21229 = -r21228;
        double r21230 = r21226 - r21227;
        double r21231 = r21229 / r21230;
        return r21231;
}
↓
double f(double f, double n) {
        double r21232 = f;
        double r21233 = n;
        double r21234 = r21232 + r21233;
        double r21235 = -r21234;
        double r21236 = r21232 - r21233;
        double r21237 = r21235 / r21236;
        return r21237;
}

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 2020047 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))