Average Error: 0.0 → 0.0
Time: 1.7s
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 r5043 = f;
        double r5044 = n;
        double r5045 = r5043 + r5044;
        double r5046 = -r5045;
        double r5047 = r5043 - r5044;
        double r5048 = r5046 / r5047;
        return r5048;
}
↓
double f(double f, double n) {
        double r5049 = f;
        double r5050 = n;
        double r5051 = r5049 + r5050;
        double r5052 = -r5051;
        double r5053 = r5049 - r5050;
        double r5054 = r5052 / r5053;
        return r5054;
}

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 2020003 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))