Average Error: 0.1 → 0.1
Time: 16.4s
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 r8775163 = d1;
        double r8775164 = 3.0;
        double r8775165 = r8775163 * r8775164;
        double r8775166 = d2;
        double r8775167 = r8775163 * r8775166;
        double r8775168 = r8775165 + r8775167;
        double r8775169 = d3;
        double r8775170 = r8775163 * r8775169;
        double r8775171 = r8775168 + r8775170;
        return r8775171;
}
↓
double f(double d1, double d2, double d3) {
        double r8775172 = d2;
        double r8775173 = d3;
        double r8775174 = 3.0;
        double r8775175 = r8775173 + r8775174;
        double r8775176 = r8775172 + r8775175;
        double r8775177 = d1;
        double r8775178 = r8775176 * r8775177;
        return r8775178;
}

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 2019141 
(FPCore (d1 d2 d3)
  :name "FastMath test3"

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

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