Average Error: 0.3 → 0
Time: 544.0ms
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 r260215 = d;
        double r260216 = 10.0;
        double r260217 = r260215 * r260216;
        double r260218 = 20.0;
        double r260219 = r260215 * r260218;
        double r260220 = r260217 + r260219;
        return r260220;
}
↓
double f(double d) {
        double r260221 = d;
        double r260222 = 10.0;
        double r260223 = 20.0;
        double r260224 = r260222 + r260223;
        double r260225 = r260221 * r260224;
        return r260225;
}

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 2019326 +o rules:numerics
(FPCore (d)
  :name "FastMath test1"
  :precision binary64

  :herbie-target
  (* d 30)

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