Average Error: 0.0 → 0.0
Time: 12.7s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\log \left(e^{\frac{y + x}{x - y}}\right)\]
\frac{x + y}{x - y}
↓
\log \left(e^{\frac{y + x}{x - y}}\right)
double f(double x, double y) {
        double r25741193 = x;
        double r25741194 = y;
        double r25741195 = r25741193 + r25741194;
        double r25741196 = r25741193 - r25741194;
        double r25741197 = r25741195 / r25741196;
        return r25741197;
}
↓
double f(double x, double y) {
        double r25741198 = y;
        double r25741199 = x;
        double r25741200 = r25741198 + r25741199;
        double r25741201 = r25741199 - r25741198;
        double r25741202 = r25741200 / r25741201;
        double r25741203 = exp(r25741202);
        double r25741204 = log(r25741203);
        return r25741204;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{x - y}\]
  2. Using strategy rm

  3. Applied add-log-exp0.0

    \[\leadsto \color{blue}{\log \left(e^{\frac{x + y}{x - y}}\right)}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"

  :herbie-target
  (/ 1.0 (- (/ x (+ x y)) (/ y (+ x y))))

  (/ (+ x y) (- x y)))