Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r267861 = d1;
        double r267862 = d2;
        double r267863 = r267861 * r267862;
        double r267864 = d3;
        double r267865 = 5.0;
        double r267866 = r267864 + r267865;
        double r267867 = r267866 * r267861;
        double r267868 = r267863 + r267867;
        double r267869 = 32.0;
        double r267870 = r267861 * r267869;
        double r267871 = r267868 + r267870;
        return r267871;
}
↓
double f(double d1, double d2, double d3) {
        double r267872 = d1;
        double r267873 = d2;
        double r267874 = d3;
        double r267875 = 5.0;
        double r267876 = r267874 + r267875;
        double r267877 = 32.0;
        double r267878 = r267876 + r267877;
        double r267879 = r267873 + r267878;
        double r267880 = r267872 * r267879;
        return r267880;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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