Average Error: 0.3 → 0
Time: 930.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[d \cdot 30\]
double f(double d) {
        double r52714199 = d;
        double r52714200 = 10.0;
        double r52714201 = r52714199 * r52714200;
        double r52714202 = 20.0;
        double r52714203 = r52714199 * r52714202;
        double r52714204 = r52714201 + r52714203;
        return r52714204;
}
↓
double f(double d) {
        double r52714205 = d;
        double r52714206 = 30.0;
        double r52714207 = r52714205 * r52714206;
        return r52714207;
}


d \cdot 10 + d \cdot 20
↓
d \cdot 30

Error

Bits error versus d

Target

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

Derivation

  1. Initial program 0.3

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

  2. Simplified0

    \[\leadsto \color{blue}{d \cdot 30}\]

  3. Final simplification0

    \[\leadsto d \cdot 30\]

Reproduce

herbie shell --seed 2019101 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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