Average Error: 0.1 → 0.1
Time: 13.7s
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 r11063636 = d1;
        double r11063637 = 3.0;
        double r11063638 = r11063636 * r11063637;
        double r11063639 = d2;
        double r11063640 = r11063636 * r11063639;
        double r11063641 = r11063638 + r11063640;
        double r11063642 = d3;
        double r11063643 = r11063636 * r11063642;
        double r11063644 = r11063641 + r11063643;
        return r11063644;
}
↓
double f(double d1, double d2, double d3) {
        double r11063645 = d2;
        double r11063646 = d3;
        double r11063647 = 3.0;
        double r11063648 = r11063646 + r11063647;
        double r11063649 = r11063645 + r11063648;
        double r11063650 = d1;
        double r11063651 = r11063649 * r11063650;
        return r11063651;
}

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 2019151 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3 d2) d3))

  (+ (+ (* d1 3) (* d1 d2)) (* d1 d3)))