Average Error: 0.0 → 0.0
Time: 10.1s
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 r463147 = f;
        double r463148 = n;
        double r463149 = r463147 + r463148;
        double r463150 = -r463149;
        double r463151 = r463147 - r463148;
        double r463152 = r463150 / r463151;
        return r463152;
}
↓
double f(double f, double n) {
        double r463153 = n;
        double r463154 = f;
        double r463155 = r463153 + r463154;
        double r463156 = -r463155;
        double r463157 = r463154 - r463153;
        double r463158 = r463156 / r463157;
        double r463159 = exp(r463158);
        double r463160 = log(r463159);
        return r463160;
}

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 2019154 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))