Average Error: 0.0 → 0.0
Time: 8.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8096769 = d1;
        double r8096770 = d2;
        double r8096771 = r8096769 * r8096770;
        double r8096772 = d3;
        double r8096773 = 5.0;
        double r8096774 = r8096772 + r8096773;
        double r8096775 = r8096774 * r8096769;
        double r8096776 = r8096771 + r8096775;
        double r8096777 = 32.0;
        double r8096778 = r8096769 * r8096777;
        double r8096779 = r8096776 + r8096778;
        return r8096779;
}
↓
double f(double d1, double d2, double d3) {
        double r8096780 = d2;
        double r8096781 = 37.0;
        double r8096782 = r8096780 + r8096781;
        double r8096783 = d3;
        double r8096784 = r8096782 + r8096783;
        double r8096785 = d1;
        double r8096786 = r8096784 * r8096785;
        return r8096786;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019152 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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