Average Error: 0.2 → 0.0
Time: 8.6s
Precision: 64
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(d2 + \left(20 + 10\right)\right) \cdot d1\]
\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20
↓
\left(d2 + \left(20 + 10\right)\right) \cdot d1
double f(double d1, double d2) {
        double r10824649 = d1;
        double r10824650 = 10.0;
        double r10824651 = r10824649 * r10824650;
        double r10824652 = d2;
        double r10824653 = r10824649 * r10824652;
        double r10824654 = r10824651 + r10824653;
        double r10824655 = 20.0;
        double r10824656 = r10824649 * r10824655;
        double r10824657 = r10824654 + r10824656;
        return r10824657;
}
↓
double f(double d1, double d2) {
        double r10824658 = d2;
        double r10824659 = 20.0;
        double r10824660 = 10.0;
        double r10824661 = r10824659 + r10824660;
        double r10824662 = r10824658 + r10824661;
        double r10824663 = d1;
        double r10824664 = r10824662 * r10824663;
        return r10824664;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(10 + 20\right)\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30.0 d2))

  (+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0)))