Average Error: 0.2 → 0.0
Time: 29.8s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(d2 + 30\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(d2 + 30\right) \cdot d1
double f(double d1, double d2) {
        double r51082552 = d1;
        double r51082553 = 10.0;
        double r51082554 = r51082552 * r51082553;
        double r51082555 = d2;
        double r51082556 = r51082552 * r51082555;
        double r51082557 = r51082554 + r51082556;
        double r51082558 = 20.0;
        double r51082559 = r51082552 * r51082558;
        double r51082560 = r51082557 + r51082559;
        return r51082560;
}
↓
double f(double d1, double d2) {
        double r51082561 = d2;
        double r51082562 = 30.0;
        double r51082563 = r51082561 + r51082562;
        double r51082564 = d1;
        double r51082565 = r51082563 * r51082564;
        return r51082565;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019120 
(FPCore (d1 d2)
  :name "FastMath test2"

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

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