Average Error: 0.0 → 0.0
Time: 4.7s
Precision: 64
\[x \cdot \left(y + 1\right)\]
↓
\[x \cdot y + 1 \cdot x\]
x \cdot \left(y + 1\right)
↓
x \cdot y + 1 \cdot x
double f(double x, double y) {
        double r1388115 = x;
        double r1388116 = y;
        double r1388117 = 1.0;
        double r1388118 = r1388116 + r1388117;
        double r1388119 = r1388115 * r1388118;
        return r1388119;
}
↓
double f(double x, double y) {
        double r1388120 = x;
        double r1388121 = y;
        double r1388122 = r1388120 * r1388121;
        double r1388123 = 1.0;
        double r1388124 = r1388123 * r1388120;
        double r1388125 = r1388122 + r1388124;
        return r1388125;
}

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

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

  3. Applied distribute-lft-in0.0

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

  4. Simplified0.0

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

  5. Final simplification0.0

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

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)))