Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r264867 = d1;
        double r264868 = d2;
        double r264869 = r264867 * r264868;
        double r264870 = d3;
        double r264871 = 5.0;
        double r264872 = r264870 + r264871;
        double r264873 = r264872 * r264867;
        double r264874 = r264869 + r264873;
        double r264875 = 32.0;
        double r264876 = r264867 * r264875;
        double r264877 = r264874 + r264876;
        return r264877;
}
↓
double f(double d1, double d2, double d3) {
        double r264878 = d1;
        double r264879 = d3;
        double r264880 = 32.0;
        double r264881 = r264879 + r264880;
        double r264882 = 5.0;
        double r264883 = d2;
        double r264884 = r264882 + r264883;
        double r264885 = r264881 + r264884;
        double r264886 = r264878 * r264885;
        return r264886;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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