Average Error: 0.3 → 0
Time: 926.0ms
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 r157919 = d;
        double r157920 = 10.0;
        double r157921 = r157919 * r157920;
        double r157922 = 20.0;
        double r157923 = r157919 * r157922;
        double r157924 = r157921 + r157923;
        return r157924;
}
↓
double f(double d) {
        double r157925 = d;
        double r157926 = 10.0;
        double r157927 = 20.0;
        double r157928 = r157926 + r157927;
        double r157929 = r157925 * r157928;
        return r157929;
}

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 2019325 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"
  :precision binary64

  :herbie-target
  (* d 30)

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