Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r143649 = d1;
        double r143650 = d2;
        double r143651 = r143649 * r143650;
        double r143652 = d3;
        double r143653 = 5.0;
        double r143654 = r143652 + r143653;
        double r143655 = r143654 * r143649;
        double r143656 = r143651 + r143655;
        double r143657 = 32.0;
        double r143658 = r143649 * r143657;
        double r143659 = r143656 + r143658;
        return r143659;
}
↓
double f(double d1, double d2, double d3) {
        double r143660 = d1;
        double r143661 = d2;
        double r143662 = d3;
        double r143663 = 5.0;
        double r143664 = r143662 + r143663;
        double r143665 = 32.0;
        double r143666 = r143664 + r143665;
        double r143667 = r143661 + r143666;
        double r143668 = r143660 * r143667;
        return r143668;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020057 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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