Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r4127159 = d1;
        double r4127160 = d2;
        double r4127161 = r4127159 * r4127160;
        double r4127162 = d3;
        double r4127163 = 5.0;
        double r4127164 = r4127162 + r4127163;
        double r4127165 = r4127164 * r4127159;
        double r4127166 = r4127161 + r4127165;
        double r4127167 = 32.0;
        double r4127168 = r4127159 * r4127167;
        double r4127169 = r4127166 + r4127168;
        return r4127169;
}
↓
double f(double d1, double d2, double d3) {
        double r4127170 = d2;
        double r4127171 = 37.0;
        double r4127172 = r4127170 + r4127171;
        double r4127173 = d3;
        double r4127174 = r4127172 + r4127173;
        double r4127175 = d1;
        double r4127176 = r4127174 * r4127175;
        return r4127176;
}

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

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(d3 + \left(d2 + 37\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(d2 + 37\right) + d3\right) \cdot d1\]

Reproduce

herbie shell --seed 2019138 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))