Average Error: 0.0 → 0.0
Time: 1.7s
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 r198623 = d1;
        double r198624 = d2;
        double r198625 = r198623 * r198624;
        double r198626 = d3;
        double r198627 = 5.0;
        double r198628 = r198626 + r198627;
        double r198629 = r198628 * r198623;
        double r198630 = r198625 + r198629;
        double r198631 = 32.0;
        double r198632 = r198623 * r198631;
        double r198633 = r198630 + r198632;
        return r198633;
}
↓
double f(double d1, double d2, double d3) {
        double r198634 = d1;
        double r198635 = d2;
        double r198636 = d3;
        double r198637 = 5.0;
        double r198638 = r198636 + r198637;
        double r198639 = 32.0;
        double r198640 = r198638 + r198639;
        double r198641 = r198635 + r198640;
        double r198642 = r198634 * r198641;
        return r198642;
}

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 2020035 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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