Average Error: 0.0 → 0.0
Time: 8.6s
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 r130862 = d1;
        double r130863 = d2;
        double r130864 = r130862 * r130863;
        double r130865 = d3;
        double r130866 = 5.0;
        double r130867 = r130865 + r130866;
        double r130868 = r130867 * r130862;
        double r130869 = r130864 + r130868;
        double r130870 = 32.0;
        double r130871 = r130862 * r130870;
        double r130872 = r130869 + r130871;
        return r130872;
}
↓
double f(double d1, double d2, double d3) {
        double r130873 = d1;
        double r130874 = d3;
        double r130875 = 32.0;
        double r130876 = r130874 + r130875;
        double r130877 = 5.0;
        double r130878 = d2;
        double r130879 = r130877 + r130878;
        double r130880 = r130876 + r130879;
        double r130881 = r130873 * r130880;
        return r130881;
}

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 2019194 +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)))