Average Error: 0.3 → 0
Time: 2.0s
Precision: 64
\[d \cdot 10.0 + d \cdot 20.0\]
↓
\[\left(10.0 + 20.0\right) \cdot d\]
d \cdot 10.0 + d \cdot 20.0
↓
\left(10.0 + 20.0\right) \cdot d
double f(double d) {
        double r7981928 = d;
        double r7981929 = 10.0;
        double r7981930 = r7981928 * r7981929;
        double r7981931 = 20.0;
        double r7981932 = r7981928 * r7981931;
        double r7981933 = r7981930 + r7981932;
        return r7981933;
}
↓
double f(double d) {
        double r7981934 = 10.0;
        double r7981935 = 20.0;
        double r7981936 = r7981934 + r7981935;
        double r7981937 = d;
        double r7981938 = r7981936 * r7981937;
        return r7981938;
}

Error

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0
Herbie0
\[d \cdot 30.0\]

Derivation

  1. Initial program 0.3

    \[d \cdot 10.0 + d \cdot 20.0\]

  2. Simplified0

    \[\leadsto \color{blue}{d \cdot \left(10.0 + 20.0\right)}\]

  3. Final simplification0

    \[\leadsto \left(10.0 + 20.0\right) \cdot d\]

Reproduce

herbie shell --seed 2019165 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30.0)

  (+ (* d 10.0) (* d 20.0)))