Average Error: 0.0 → 0.0
Time: 4.2s
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 r19450 = f;
        double r19451 = n;
        double r19452 = r19450 + r19451;
        double r19453 = -r19452;
        double r19454 = r19450 - r19451;
        double r19455 = r19453 / r19454;
        return r19455;
}
↓
double f(double f, double n) {
        double r19456 = f;
        double r19457 = n;
        double r19458 = r19456 + r19457;
        double r19459 = -r19458;
        double r19460 = r19456 - r19457;
        double r19461 = r19459 / r19460;
        double r19462 = exp(r19461);
        double r19463 = log(r19462);
        return r19463;
}

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 2020035 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))