Average Error: 0.0 → 0.0
Time: 10.9s
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 r25094 = f;
        double r25095 = n;
        double r25096 = r25094 + r25095;
        double r25097 = -r25096;
        double r25098 = r25094 - r25095;
        double r25099 = r25097 / r25098;
        return r25099;
}
↓
double f(double f, double n) {
        double r25100 = f;
        double r25101 = n;
        double r25102 = r25100 + r25101;
        double r25103 = -r25102;
        double r25104 = r25100 - r25101;
        double r25105 = r25103 / r25104;
        return r25105;
}

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 2019305 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))