Average Error: 0.3 → 0
Time: 1.0s
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 r6454702 = d;
        double r6454703 = 10.0;
        double r6454704 = r6454702 * r6454703;
        double r6454705 = 20.0;
        double r6454706 = r6454702 * r6454705;
        double r6454707 = r6454704 + r6454706;
        return r6454707;
}
↓
double f(double d) {
        double r6454708 = 10.0;
        double r6454709 = 20.0;
        double r6454710 = r6454708 + r6454709;
        double r6454711 = d;
        double r6454712 = r6454710 * r6454711;
        return r6454712;
}

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 2019134 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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