Average Error: 0.1 → 0.1
Time: 26.8s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d2 + \left(d3 + 3\right)\right) \cdot d1\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d2 + \left(d3 + 3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r12641449 = d1;
        double r12641450 = 3.0;
        double r12641451 = r12641449 * r12641450;
        double r12641452 = d2;
        double r12641453 = r12641449 * r12641452;
        double r12641454 = r12641451 + r12641453;
        double r12641455 = d3;
        double r12641456 = r12641449 * r12641455;
        double r12641457 = r12641454 + r12641456;
        return r12641457;
}
↓
double f(double d1, double d2, double d3) {
        double r12641458 = d2;
        double r12641459 = d3;
        double r12641460 = 3.0;
        double r12641461 = r12641459 + r12641460;
        double r12641462 = r12641458 + r12641461;
        double r12641463 = d1;
        double r12641464 = r12641462 * r12641463;
        return r12641464;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Simplified0.1

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(3 + d3\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(d2 + \left(d3 + 3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019168 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3.0 d2) d3))

  (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))