Average Error: 0.1 → 0.1
Time: 16.2s
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 r11436140 = d1;
        double r11436141 = 3.0;
        double r11436142 = r11436140 * r11436141;
        double r11436143 = d2;
        double r11436144 = r11436140 * r11436143;
        double r11436145 = r11436142 + r11436144;
        double r11436146 = d3;
        double r11436147 = r11436140 * r11436146;
        double r11436148 = r11436145 + r11436147;
        return r11436148;
}
↓
double f(double d1, double d2, double d3) {
        double r11436149 = d2;
        double r11436150 = d3;
        double r11436151 = 3.0;
        double r11436152 = r11436150 + r11436151;
        double r11436153 = r11436149 + r11436152;
        double r11436154 = d1;
        double r11436155 = r11436153 * r11436154;
        return r11436155;
}

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 2019169 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

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

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