Average Error: 0.0 → 0.0
Time: 9.4s
Precision: 64
\[x \cdot \left(y + 1.0\right)\]
↓
\[x \cdot y + 1.0 \cdot x\]
x \cdot \left(y + 1.0\right)
↓
x \cdot y + 1.0 \cdot x
double f(double x, double y) {
        double r39761952 = x;
        double r39761953 = y;
        double r39761954 = 1.0;
        double r39761955 = r39761953 + r39761954;
        double r39761956 = r39761952 * r39761955;
        return r39761956;
}
↓
double f(double x, double y) {
        double r39761957 = x;
        double r39761958 = y;
        double r39761959 = r39761957 * r39761958;
        double r39761960 = 1.0;
        double r39761961 = r39761960 * r39761957;
        double r39761962 = r39761959 + r39761961;
        return r39761962;
}

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-lft-in0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019162 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B"

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

  (* x (+ y 1.0)))