Average Error: 0.0 → 0.0
Time: 9.3s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{\frac{x}{y + x} \cdot \frac{x}{y + x} - \frac{y}{y + x} \cdot \frac{y}{y + x}}{\frac{x}{y + x} + \frac{y}{y + x}}\]
\frac{x - y}{x + y}
↓
\frac{\frac{x}{y + x} \cdot \frac{x}{y + x} - \frac{y}{y + x} \cdot \frac{y}{y + x}}{\frac{x}{y + x} + \frac{y}{y + x}}
double f(double x, double y) {
        double r52299516 = x;
        double r52299517 = y;
        double r52299518 = r52299516 - r52299517;
        double r52299519 = r52299516 + r52299517;
        double r52299520 = r52299518 / r52299519;
        return r52299520;
}
↓
double f(double x, double y) {
        double r52299521 = x;
        double r52299522 = y;
        double r52299523 = r52299522 + r52299521;
        double r52299524 = r52299521 / r52299523;
        double r52299525 = r52299524 * r52299524;
        double r52299526 = r52299522 / r52299523;
        double r52299527 = r52299526 * r52299526;
        double r52299528 = r52299525 - r52299527;
        double r52299529 = r52299524 + r52299526;
        double r52299530 = r52299528 / r52299529;
        return r52299530;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.0

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

  3. Applied div-sub0.0

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

  5. Applied flip--0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"

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

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