Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[x \cdot \left(y + 1\right)\]
↓
\[x \cdot y + x \cdot 1\]
x \cdot \left(y + 1\right)
↓
x \cdot y + x \cdot 1
double f(double x, double y) {
        double r981670 = x;
        double r981671 = y;
        double r981672 = 1.0;
        double r981673 = r981671 + r981672;
        double r981674 = r981670 * r981673;
        return r981674;
}
↓
double f(double x, double y) {
        double r981675 = x;
        double r981676 = y;
        double r981677 = r981675 * r981676;
        double r981678 = 1.0;
        double r981679 = r981675 * r981678;
        double r981680 = r981677 + r981679;
        return r981680;
}

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

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

Reproduce

herbie shell --seed 2020089 
(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)))