Average Error: 0.0 → 0.0
Time: 11.4s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]
\frac{x + y}{x - y}
↓
\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}
double f(double x, double y) {
        double r25784462 = x;
        double r25784463 = y;
        double r25784464 = r25784462 + r25784463;
        double r25784465 = r25784462 - r25784463;
        double r25784466 = r25784464 / r25784465;
        return r25784466;
}
↓
double f(double x, double y) {
        double r25784467 = 1.0;
        double r25784468 = x;
        double r25784469 = y;
        double r25784470 = r25784468 + r25784469;
        double r25784471 = r25784468 / r25784470;
        double r25784472 = r25784469 / r25784470;
        double r25784473 = r25784471 - r25784472;
        double r25784474 = r25784467 / r25784473;
        return r25784474;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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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 clear-num0.0

    \[\leadsto \color{blue}{\frac{1}{\frac{x - y}{x + y}}}\]
  4. Using strategy rm

  5. Applied div-sub0.0

    \[\leadsto \frac{1}{\color{blue}{\frac{x}{x + y} - \frac{y}{x + y}}}\]

  6. Final simplification0.0

    \[\leadsto \frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Reproduce

herbie shell --seed 2019170 
(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)))