Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(5 + d3\right) + 32\right) \cdot d1 + d1 \cdot d2\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(5 + d3\right) + 32\right) \cdot d1 + d1 \cdot d2
double f(double d1, double d2, double d3) {
        double r4801859 = d1;
        double r4801860 = d2;
        double r4801861 = r4801859 * r4801860;
        double r4801862 = d3;
        double r4801863 = 5.0;
        double r4801864 = r4801862 + r4801863;
        double r4801865 = r4801864 * r4801859;
        double r4801866 = r4801861 + r4801865;
        double r4801867 = 32.0;
        double r4801868 = r4801859 * r4801867;
        double r4801869 = r4801866 + r4801868;
        return r4801869;
}
↓
double f(double d1, double d2, double d3) {
        double r4801870 = 5.0;
        double r4801871 = d3;
        double r4801872 = r4801870 + r4801871;
        double r4801873 = 32.0;
        double r4801874 = r4801872 + r4801873;
        double r4801875 = d1;
        double r4801876 = r4801874 * r4801875;
        double r4801877 = d2;
        double r4801878 = r4801875 * r4801877;
        double r4801879 = r4801876 + r4801878;
        return r4801879;
}

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. Using strategy rm

  3. Applied associate-+l+0.0

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

  4. Simplified0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019155 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))