Average Error: 0.3 → 0
Time: 869.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[\left(10 + 20\right) \cdot d\]
d \cdot 10 + d \cdot 20
↓
\left(10 + 20\right) \cdot d
double f(double d) {
        double r13121173 = d;
        double r13121174 = 10.0;
        double r13121175 = r13121173 * r13121174;
        double r13121176 = 20.0;
        double r13121177 = r13121173 * r13121176;
        double r13121178 = r13121175 + r13121177;
        return r13121178;
}
↓
double f(double d) {
        double r13121179 = 10.0;
        double r13121180 = 20.0;
        double r13121181 = r13121179 + r13121180;
        double r13121182 = d;
        double r13121183 = r13121181 * r13121182;
        return r13121183;
}

Error

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0
Herbie0
\[d \cdot 30\]

Derivation

  1. Initial program 0.3

    \[d \cdot 10 + d \cdot 20\]

  2. Simplified0

    \[\leadsto \color{blue}{d \cdot \left(10 + 20\right)}\]

  3. Final simplification0

    \[\leadsto \left(10 + 20\right) \cdot d\]

Reproduce

herbie shell --seed 2019192 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30.0)

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