Average Error: 0.0 → 0.0
Time: 27.9s
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 r1018140 = f;
        double r1018141 = n;
        double r1018142 = r1018140 + r1018141;
        double r1018143 = -r1018142;
        double r1018144 = r1018140 - r1018141;
        double r1018145 = r1018143 / r1018144;
        return r1018145;
}
↓
double f(double f, double n) {
        double r1018146 = n;
        double r1018147 = f;
        double r1018148 = r1018146 + r1018147;
        double r1018149 = -r1018148;
        double r1018150 = r1018147 - r1018146;
        double r1018151 = r1018149 / r1018150;
        double r1018152 = exp(r1018151);
        double r1018153 = log(r1018152);
        return r1018153;
}

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 2019121 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))