Average Error: 0.0 → 0.0
Time: 11.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r8362707 = d1;
        double r8362708 = d2;
        double r8362709 = r8362707 * r8362708;
        double r8362710 = d3;
        double r8362711 = 5.0;
        double r8362712 = r8362710 + r8362711;
        double r8362713 = r8362712 * r8362707;
        double r8362714 = r8362709 + r8362713;
        double r8362715 = 32.0;
        double r8362716 = r8362707 * r8362715;
        double r8362717 = r8362714 + r8362716;
        return r8362717;
}
↓
double f(double d1, double d2, double d3) {
        double r8362718 = d1;
        double r8362719 = d3;
        double r8362720 = 32.0;
        double r8362721 = r8362719 + r8362720;
        double r8362722 = 5.0;
        double r8362723 = d2;
        double r8362724 = r8362722 + r8362723;
        double r8362725 = r8362721 + r8362724;
        double r8362726 = r8362718 * r8362725;
        return r8362726;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))