Average Error: 0.0 → 0.0
Time: 6.6s
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 r150885 = d1;
        double r150886 = d2;
        double r150887 = r150885 * r150886;
        double r150888 = d3;
        double r150889 = 5.0;
        double r150890 = r150888 + r150889;
        double r150891 = r150890 * r150885;
        double r150892 = r150887 + r150891;
        double r150893 = 32.0;
        double r150894 = r150885 * r150893;
        double r150895 = r150892 + r150894;
        return r150895;
}
↓
double f(double d1, double d2, double d3) {
        double r150896 = d2;
        double r150897 = d3;
        double r150898 = r150896 + r150897;
        double r150899 = 32.0;
        double r150900 = r150898 + r150899;
        double r150901 = 5.0;
        double r150902 = r150900 + r150901;
        double r150903 = d1;
        double r150904 = r150902 * r150903;
        return r150904;
}

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 2019194 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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