Average Error: 0.0 → 0.0
Time: 6.6s
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 r37582178 = x;
        double r37582179 = y;
        double r37582180 = 1.0;
        double r37582181 = r37582179 + r37582180;
        double r37582182 = r37582178 * r37582181;
        return r37582182;
}
↓
double f(double x, double y) {
        double r37582183 = y;
        double r37582184 = x;
        double r37582185 = r37582183 * r37582184;
        double r37582186 = 1.0;
        double r37582187 = r37582186 * r37582184;
        double r37582188 = r37582185 + r37582187;
        return r37582188;
}

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 2019164 +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)))