Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot d2 + d1 \cdot \left(\left(d3 + 5\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r257910 = d1;
        double r257911 = d2;
        double r257912 = r257910 * r257911;
        double r257913 = d3;
        double r257914 = 5.0;
        double r257915 = r257913 + r257914;
        double r257916 = r257915 * r257910;
        double r257917 = r257912 + r257916;
        double r257918 = 32.0;
        double r257919 = r257910 * r257918;
        double r257920 = r257917 + r257919;
        return r257920;
}
↓
double f(double d1, double d2, double d3) {
        double r257921 = d1;
        double r257922 = d2;
        double r257923 = r257921 * r257922;
        double r257924 = d3;
        double r257925 = 5.0;
        double r257926 = r257924 + r257925;
        double r257927 = 32.0;
        double r257928 = r257926 + r257927;
        double r257929 = r257921 * r257928;
        double r257930 = r257923 + r257929;
        return r257930;
}

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. Using strategy rm

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020056 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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