Average Error: 0.1 → 0.1
Time: 13.0s
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 r2229134 = d1;
        double r2229135 = 3.0;
        double r2229136 = r2229134 * r2229135;
        double r2229137 = d2;
        double r2229138 = r2229134 * r2229137;
        double r2229139 = r2229136 + r2229138;
        double r2229140 = d3;
        double r2229141 = r2229134 * r2229140;
        double r2229142 = r2229139 + r2229141;
        return r2229142;
}
↓
double f(double d1, double d2, double d3) {
        double r2229143 = d2;
        double r2229144 = d3;
        double r2229145 = 3.0;
        double r2229146 = r2229144 + r2229145;
        double r2229147 = r2229143 + r2229146;
        double r2229148 = d1;
        double r2229149 = r2229147 * r2229148;
        return r2229149;
}

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)))