Average Error: 0.0 → 0.0
Time: 21.0s
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 r31089 = f;
        double r31090 = n;
        double r31091 = r31089 + r31090;
        double r31092 = -r31091;
        double r31093 = r31089 - r31090;
        double r31094 = r31092 / r31093;
        return r31094;
}
↓
double f(double f, double n) {
        double r31095 = f;
        double r31096 = n;
        double r31097 = r31095 + r31096;
        double r31098 = -r31097;
        double r31099 = r31095 - r31096;
        double r31100 = r31098 / r31099;
        double r31101 = exp(r31100);
        double r31102 = log(r31101);
        return r31102;
}

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 2019322 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))