Average Error: 0.3 → 0
Time: 1.1s
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[d \cdot 30\]
double f(double d) {
        double r73148299 = d;
        double r73148300 = 10.0;
        double r73148301 = r73148299 * r73148300;
        double r73148302 = 20.0;
        double r73148303 = r73148299 * r73148302;
        double r73148304 = r73148301 + r73148303;
        return r73148304;
}
↓
double f(double d) {
        double r73148305 = d;
        double r73148306 = 30.0;
        double r73148307 = r73148305 * r73148306;
        return r73148307;
}


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 2019102 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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