Average Error: 0.1 → 0.1
Time: 1.3m
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d3 + \left(d2 + 3\right)\right) \cdot d1\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d3 + \left(d2 + 3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r75650768 = d1;
        double r75650769 = 3.0;
        double r75650770 = r75650768 * r75650769;
        double r75650771 = d2;
        double r75650772 = r75650768 * r75650771;
        double r75650773 = r75650770 + r75650772;
        double r75650774 = d3;
        double r75650775 = r75650768 * r75650774;
        double r75650776 = r75650773 + r75650775;
        return r75650776;
}
↓
double f(double d1, double d2, double d3) {
        double r75650777 = d3;
        double r75650778 = d2;
        double r75650779 = 3.0;
        double r75650780 = r75650778 + r75650779;
        double r75650781 = r75650777 + r75650780;
        double r75650782 = d1;
        double r75650783 = r75650781 * r75650782;
        return r75650783;
}

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

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Simplified0.1

    \[\leadsto \color{blue}{d1 \cdot \left(d3 + \left(3 + d2\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(d3 + \left(d2 + 3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019104 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3 d2) d3))

  (+ (+ (* d1 3) (* d1 d2)) (* d1 d3)))