Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r13493780 = d1;
        double r13493781 = d2;
        double r13493782 = r13493780 * r13493781;
        double r13493783 = d3;
        double r13493784 = 5.0;
        double r13493785 = r13493783 + r13493784;
        double r13493786 = r13493785 * r13493780;
        double r13493787 = r13493782 + r13493786;
        double r13493788 = 32.0;
        double r13493789 = r13493780 * r13493788;
        double r13493790 = r13493787 + r13493789;
        return r13493790;
}
↓
double f(double d1, double d2, double d3) {
        double r13493791 = d2;
        double r13493792 = d3;
        double r13493793 = r13493791 + r13493792;
        double r13493794 = 32.0;
        double r13493795 = r13493793 + r13493794;
        double r13493796 = 5.0;
        double r13493797 = r13493795 + r13493796;
        double r13493798 = d1;
        double r13493799 = r13493797 * r13493798;
        return r13493799;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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