Average Error: 0.0 → 0.0
Time: 18.0s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\log \left(e^{\frac{-\left(n + f\right)}{f - n}}\right)\]
\frac{-\left(f + n\right)}{f - n}
↓
\log \left(e^{\frac{-\left(n + f\right)}{f - n}}\right)
double f(double f, double n) {
        double r1144243 = f;
        double r1144244 = n;
        double r1144245 = r1144243 + r1144244;
        double r1144246 = -r1144245;
        double r1144247 = r1144243 - r1144244;
        double r1144248 = r1144246 / r1144247;
        return r1144248;
}
↓
double f(double f, double n) {
        double r1144249 = n;
        double r1144250 = f;
        double r1144251 = r1144249 + r1144250;
        double r1144252 = -r1144251;
        double r1144253 = r1144250 - r1144249;
        double r1144254 = r1144252 / r1144253;
        double r1144255 = exp(r1144254);
        double r1144256 = log(r1144255);
        return r1144256;
}

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

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

Reproduce

herbie shell --seed 2019171 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))