Average Error: 0.3 → 0
Time: 915.0ms
Precision: 64
\[d \cdot 10 + d \cdot 20\]
↓
\[30 \cdot d\]
d \cdot 10 + d \cdot 20
↓
30 \cdot d
double f(double d) {
        double r8557198 = d;
        double r8557199 = 10.0;
        double r8557200 = r8557198 * r8557199;
        double r8557201 = 20.0;
        double r8557202 = r8557198 * r8557201;
        double r8557203 = r8557200 + r8557202;
        return r8557203;
}
↓
double f(double d) {
        double r8557204 = 30.0;
        double r8557205 = d;
        double r8557206 = r8557204 * r8557205;
        return r8557206;
}

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

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

  3. Final simplification0

    \[\leadsto 30 \cdot d\]

Reproduce

herbie shell --seed 2019165 
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

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