Average Error: 0.2 → 0.0
Time: 11.1s
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 r9712429 = d1;
        double r9712430 = 10.0;
        double r9712431 = r9712429 * r9712430;
        double r9712432 = d2;
        double r9712433 = r9712429 * r9712432;
        double r9712434 = r9712431 + r9712433;
        double r9712435 = 20.0;
        double r9712436 = r9712429 * r9712435;
        double r9712437 = r9712434 + r9712436;
        return r9712437;
}
↓
double f(double d1, double d2) {
        double r9712438 = d2;
        double r9712439 = 20.0;
        double r9712440 = 10.0;
        double r9712441 = r9712439 + r9712440;
        double r9712442 = r9712438 + r9712441;
        double r9712443 = d1;
        double r9712444 = r9712442 * r9712443;
        return r9712444;
}

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)))