Average Error: 0.0 → 0.0
Time: 7.3s
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 r126694 = d1;
        double r126695 = d2;
        double r126696 = r126694 * r126695;
        double r126697 = d3;
        double r126698 = 5.0;
        double r126699 = r126697 + r126698;
        double r126700 = r126699 * r126694;
        double r126701 = r126696 + r126700;
        double r126702 = 32.0;
        double r126703 = r126694 * r126702;
        double r126704 = r126701 + r126703;
        return r126704;
}
↓
double f(double d1, double d2, double d3) {
        double r126705 = d1;
        double r126706 = 32.0;
        double r126707 = d2;
        double r126708 = d3;
        double r126709 = 5.0;
        double r126710 = r126708 + r126709;
        double r126711 = r126707 + r126710;
        double r126712 = r126706 + r126711;
        double r126713 = r126705 * r126712;
        return r126713;
}

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 2019304 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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