Average Error: 0.0 → 0.0
Time: 6.7s
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 r34773951 = x;
        double r34773952 = y;
        double r34773953 = 1.0;
        double r34773954 = r34773952 + r34773953;
        double r34773955 = r34773951 * r34773954;
        return r34773955;
}
↓
double f(double x, double y) {
        double r34773956 = x;
        double r34773957 = y;
        double r34773958 = r34773956 * r34773957;
        double r34773959 = 1.0;
        double r34773960 = r34773959 * r34773956;
        double r34773961 = r34773958 + r34773960;
        return r34773961;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 +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)))