Average Error: 0.0 → 0.0
Time: 765.0ms
Precision: 64
\[x \cdot \left(y + 1\right)\]
↓
\[x \cdot y + x \cdot 1\]
x \cdot \left(y + 1\right)
↓
x \cdot y + x \cdot 1
double f(double x, double y) {
        double r914483 = x;
        double r914484 = y;
        double r914485 = 1.0;
        double r914486 = r914484 + r914485;
        double r914487 = r914483 * r914486;
        return r914487;
}
↓
double f(double x, double y) {
        double r914488 = x;
        double r914489 = y;
        double r914490 = r914488 * r914489;
        double r914491 = 1.0;
        double r914492 = r914488 * r914491;
        double r914493 = r914490 + r914492;
        return r914493;
}

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
\[x + x \cdot y\]

Derivation

  1. Initial program 0.0

    \[x \cdot \left(y + 1\right)\]
  2. Using strategy rm

  3. Applied distribute-lft-in0.0

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

  4. Final simplification0.0

    \[\leadsto x \cdot y + x \cdot 1\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B"
  :precision binary64

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

  (* x (+ y 1)))