Average Error: 0.0 → 0.0
Time: 771.0ms
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 r924962 = x;
        double r924963 = y;
        double r924964 = 1.0;
        double r924965 = r924963 + r924964;
        double r924966 = r924962 * r924965;
        return r924966;
}
↓
double f(double x, double y) {
        double r924967 = x;
        double r924968 = y;
        double r924969 = r924967 * r924968;
        double r924970 = 1.0;
        double r924971 = r924967 * r924970;
        double r924972 = r924969 + r924971;
        return r924972;
}

Error

Bits error versus x

Bits error versus y

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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 2020047 +o rules:numerics
(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)))