Average Error: 0.3 → 0
Time: 302.0ms
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 r205630 = d;
        double r205631 = 10.0;
        double r205632 = r205630 * r205631;
        double r205633 = 20.0;
        double r205634 = r205630 * r205633;
        double r205635 = r205632 + r205634;
        return r205635;
}
↓
double f(double d) {
        double r205636 = d;
        double r205637 = 10.0;
        double r205638 = 20.0;
        double r205639 = r205637 + r205638;
        double r205640 = r205636 * r205639;
        return r205640;
}

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 2020045 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"
  :precision binary64

  :herbie-target
  (* d 30)

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