Average Error: 0.2 → 0.0
Time: 12.8s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(30 + d2\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(30 + d2\right) \cdot d1
double f(double d1, double d2) {
        double r11440425 = d1;
        double r11440426 = 10.0;
        double r11440427 = r11440425 * r11440426;
        double r11440428 = d2;
        double r11440429 = r11440425 * r11440428;
        double r11440430 = r11440427 + r11440429;
        double r11440431 = 20.0;
        double r11440432 = r11440425 * r11440431;
        double r11440433 = r11440430 + r11440432;
        return r11440433;
}
↓
double f(double d1, double d2) {
        double r11440434 = 30.0;
        double r11440435 = d2;
        double r11440436 = r11440434 + r11440435;
        double r11440437 = d1;
        double r11440438 = r11440436 * r11440437;
        return r11440438;
}

Error

Bits error versus d1

Bits error versus d2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.0
\[d1 \cdot \left(30 + d2\right)\]

Derivation

  1. Initial program 0.2

    \[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(30 + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(30 + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2019158 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30 d2))

  (+ (+ (* d1 10) (* d1 d2)) (* d1 20)))