Average Error: 0.3 → 0
Time: 606.0ms
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 r33402 = d;
        double r33403 = 10.0;
        double r33404 = r33402 * r33403;
        double r33405 = 20.0;
        double r33406 = r33402 * r33405;
        double r33407 = r33404 + r33406;
        return r33407;
}
↓
double f(double d) {
        double r33408 = d;
        double r33409 = 10.0;
        double r33410 = 20.0;
        double r33411 = r33409 + r33410;
        double r33412 = r33408 * r33411;
        return r33412;
}

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 2019310 
(FPCore (d)
  :name "FastMath test1"
  :precision binary64

  :herbie-target
  (* d 30)

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