Average Error: 0.0 → 0.0
Time: 18.4s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)\]
\frac{-\left(f + n\right)}{f - n}
↓
\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)
double f(double f, double n) {
        double r24992 = f;
        double r24993 = n;
        double r24994 = r24992 + r24993;
        double r24995 = -r24994;
        double r24996 = r24992 - r24993;
        double r24997 = r24995 / r24996;
        return r24997;
}
↓
double f(double f, double n) {
        double r24998 = f;
        double r24999 = n;
        double r25000 = r24998 + r24999;
        double r25001 = -r25000;
        double r25002 = r24998 - r24999;
        double r25003 = r25001 / r25002;
        double r25004 = exp(r25003);
        double r25005 = log(r25004);
        return r25005;
}

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. Using strategy rm

  3. Applied add-log-exp0.0

    \[\leadsto \color{blue}{\log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)}\]

  4. Final simplification0.0

    \[\leadsto \log \left(e^{\frac{-\left(f + n\right)}{f - n}}\right)\]

Reproduce

herbie shell --seed 2019323 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))