Average Error: 0.3 → 0
Time: 298.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[d \cdot \left(10 + 20\right)\]
d \cdot 10 + d \cdot 20
↓
d \cdot \left(10 + 20\right)
double f(double d) {
        double r488950 = d;
        double r488951 = 10.0;
        double r488952 = r488950 * r488951;
        double r488953 = 20.0;
        double r488954 = r488950 * r488953;
        double r488955 = r488952 + r488954;
        return r488955;
}
↓
double f(double d) {
        double r488956 = d;
        double r488957 = 10.0;
        double r488958 = 20.0;
        double r488959 = r488957 + r488958;
        double r488960 = r488956 * r488959;
        return r488960;
}

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

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

Reproduce

herbie shell --seed 2020018 
(FPCore (d)
  :name "FastMath test1"
  :precision binary64

  :herbie-target
  (* d 30)

  (+ (* d 10) (* d 20)))