Average Error: 0.1 → 0.1
Time: 46.0s
Precision: 64
\[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]
↓
\[\left(d3 + \left(d2 + 3\right)\right) \cdot d1\]
\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3
↓
\left(d3 + \left(d2 + 3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r45077130 = d1;
        double r45077131 = 3.0;
        double r45077132 = r45077130 * r45077131;
        double r45077133 = d2;
        double r45077134 = r45077130 * r45077133;
        double r45077135 = r45077132 + r45077134;
        double r45077136 = d3;
        double r45077137 = r45077130 * r45077136;
        double r45077138 = r45077135 + r45077137;
        return r45077138;
}
↓
double f(double d1, double d2, double d3) {
        double r45077139 = d3;
        double r45077140 = d2;
        double r45077141 = 3.0;
        double r45077142 = r45077140 + r45077141;
        double r45077143 = r45077139 + r45077142;
        double r45077144 = d1;
        double r45077145 = r45077143 * r45077144;
        return r45077145;
}

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

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019121 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

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

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