Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r184880 = d1;
        double r184881 = d2;
        double r184882 = r184880 * r184881;
        double r184883 = d3;
        double r184884 = 5.0;
        double r184885 = r184883 + r184884;
        double r184886 = r184885 * r184880;
        double r184887 = r184882 + r184886;
        double r184888 = 32.0;
        double r184889 = r184880 * r184888;
        double r184890 = r184887 + r184889;
        return r184890;
}
↓
double f(double d1, double d2, double d3) {
        double r184891 = d1;
        double r184892 = 32.0;
        double r184893 = d2;
        double r184894 = d3;
        double r184895 = 5.0;
        double r184896 = r184894 + r184895;
        double r184897 = r184893 + r184896;
        double r184898 = r184892 + r184897;
        double r184899 = r184891 * r184898;
        return r184899;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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