Average Error: 0.0 → 0.0
Time: 2.6s
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 r14385978 = x;
        double r14385979 = y;
        double r14385980 = 1.0;
        double r14385981 = r14385979 + r14385980;
        double r14385982 = r14385978 * r14385981;
        return r14385982;
}
↓
double f(double x, double y) {
        double r14385983 = y;
        double r14385984 = x;
        double r14385985 = r14385983 * r14385984;
        double r14385986 = 1.0;
        double r14385987 = r14385986 * r14385984;
        double r14385988 = r14385985 + r14385987;
        return r14385988;
}

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 2019156 +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)))