Average Error: 0.2 → 0.0
Time: 9.6s
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 r8131476 = d1;
        double r8131477 = 10.0;
        double r8131478 = r8131476 * r8131477;
        double r8131479 = d2;
        double r8131480 = r8131476 * r8131479;
        double r8131481 = r8131478 + r8131480;
        double r8131482 = 20.0;
        double r8131483 = r8131476 * r8131482;
        double r8131484 = r8131481 + r8131483;
        return r8131484;
}
↓
double f(double d1, double d2) {
        double r8131485 = d2;
        double r8131486 = 20.0;
        double r8131487 = 10.0;
        double r8131488 = r8131486 + r8131487;
        double r8131489 = r8131485 + r8131488;
        double r8131490 = d1;
        double r8131491 = r8131489 * r8131490;
        return r8131491;
}

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 2019172 
(FPCore (d1 d2)
  :name "FastMath test2"

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

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