Average Error: 0.0 → 0.0
Time: 16.8s
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 r24564 = f;
        double r24565 = n;
        double r24566 = r24564 + r24565;
        double r24567 = -r24566;
        double r24568 = r24564 - r24565;
        double r24569 = r24567 / r24568;
        return r24569;
}
↓
double f(double f, double n) {
        double r24570 = f;
        double r24571 = n;
        double r24572 = r24570 + r24571;
        double r24573 = -r24572;
        double r24574 = r24570 - r24571;
        double r24575 = r24573 / r24574;
        double r24576 = exp(r24575);
        double r24577 = log(r24576);
        return r24577;
}

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 2019323 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))