Average Error: 0.0 → 0.0
Time: 3.1s
Precision: 64
\[x \cdot \left(y + 1.0\right)\]
↓
\[y \cdot x + 1.0 \cdot x\]
x \cdot \left(y + 1.0\right)
↓
y \cdot x + 1.0 \cdot x
double f(double x, double y) {
        double r37324935 = x;
        double r37324936 = y;
        double r37324937 = 1.0;
        double r37324938 = r37324936 + r37324937;
        double r37324939 = r37324935 * r37324938;
        return r37324939;
}
↓
double f(double x, double y) {
        double r37324940 = y;
        double r37324941 = x;
        double r37324942 = r37324940 * r37324941;
        double r37324943 = 1.0;
        double r37324944 = r37324943 * r37324941;
        double r37324945 = r37324942 + r37324944;
        return r37324945;
}

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
\[x + x \cdot y\]

Derivation

  1. Initial program 0.0

    \[x \cdot \left(y + 1.0\right)\]
  2. Using strategy rm

  3. Applied distribute-rgt-in0.0

    \[\leadsto \color{blue}{y \cdot x + 1.0 \cdot x}\]

  4. Final simplification0.0

    \[\leadsto y \cdot x + 1.0 \cdot x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B"

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

  (* x (+ y 1.0)))