Average Error: 0.1 → 0.1
Time: 14.1s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d2 + \left(d3 + 3\right)\right) \cdot d1\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d2 + \left(d3 + 3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10582171 = d1;
        double r10582172 = 3.0;
        double r10582173 = r10582171 * r10582172;
        double r10582174 = d2;
        double r10582175 = r10582171 * r10582174;
        double r10582176 = r10582173 + r10582175;
        double r10582177 = d3;
        double r10582178 = r10582171 * r10582177;
        double r10582179 = r10582176 + r10582178;
        return r10582179;
}
↓
double f(double d1, double d2, double d3) {
        double r10582180 = d2;
        double r10582181 = d3;
        double r10582182 = 3.0;
        double r10582183 = r10582181 + r10582182;
        double r10582184 = r10582180 + r10582183;
        double r10582185 = d1;
        double r10582186 = r10582184 * r10582185;
        return r10582186;
}

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

Original0.1
Target0.1
Herbie0.1
\[d1 \cdot \left(\left(3 + d2\right) + d3\right)\]

Derivation

  1. Initial program 0.1

    \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

  2. Simplified0.1

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(3 + d3\right)\right)}\]

  3. Final simplification0.1

    \[\leadsto \left(d2 + \left(d3 + 3\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019171 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3.0 d2) d3))

  (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))