Average Error: 0.0 → 0.0
Time: 9.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r241665 = d1;
        double r241666 = d2;
        double r241667 = r241665 * r241666;
        double r241668 = d3;
        double r241669 = 5.0;
        double r241670 = r241668 + r241669;
        double r241671 = r241670 * r241665;
        double r241672 = r241667 + r241671;
        double r241673 = 32.0;
        double r241674 = r241665 * r241673;
        double r241675 = r241672 + r241674;
        return r241675;
}
↓
double f(double d1, double d2, double d3) {
        double r241676 = d1;
        double r241677 = 32.0;
        double r241678 = d2;
        double r241679 = d3;
        double r241680 = 5.0;
        double r241681 = r241679 + r241680;
        double r241682 = r241678 + r241681;
        double r241683 = r241677 + r241682;
        double r241684 = r241676 * r241683;
        return r241684;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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