Average Error: 0.0 → 0.0
Time: 24.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r9900741 = d1;
        double r9900742 = d2;
        double r9900743 = r9900741 * r9900742;
        double r9900744 = d3;
        double r9900745 = 5.0;
        double r9900746 = r9900744 + r9900745;
        double r9900747 = r9900746 * r9900741;
        double r9900748 = r9900743 + r9900747;
        double r9900749 = 32.0;
        double r9900750 = r9900741 * r9900749;
        double r9900751 = r9900748 + r9900750;
        return r9900751;
}
↓
double f(double d1, double d2, double d3) {
        double r9900752 = 32.0;
        double r9900753 = d3;
        double r9900754 = d2;
        double r9900755 = r9900753 + r9900754;
        double r9900756 = r9900752 + r9900755;
        double r9900757 = 5.0;
        double r9900758 = r9900756 + r9900757;
        double r9900759 = d1;
        double r9900760 = r9900758 * r9900759;
        return r9900760;
}

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

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(32 + \left(d2 + d3\right)\right) + 5\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(32 + \left(d3 + d2\right)\right) + 5\right) \cdot d1\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))