Average Error: 0.0 → 0.0
Time: 15.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r45672688 = d1;
        double r45672689 = d2;
        double r45672690 = r45672688 * r45672689;
        double r45672691 = d3;
        double r45672692 = 5.0;
        double r45672693 = r45672691 + r45672692;
        double r45672694 = r45672693 * r45672688;
        double r45672695 = r45672690 + r45672694;
        double r45672696 = 32.0;
        double r45672697 = r45672688 * r45672696;
        double r45672698 = r45672695 + r45672697;
        return r45672698;
}
↓
double f(double d1, double d2, double d3) {
        double r45672699 = 37.0;
        double r45672700 = d3;
        double r45672701 = r45672699 + r45672700;
        double r45672702 = d2;
        double r45672703 = r45672701 + r45672702;
        double r45672704 = d1;
        double r45672705 = r45672703 * r45672704;
        return r45672705;
}

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

    \[\leadsto \color{blue}{\left(d2 + \left(37 + d3\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(37 + d3\right) + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2019121 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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