Average Error: 0.0 → 0.0
Time: 9.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r254783 = d1;
        double r254784 = d2;
        double r254785 = r254783 * r254784;
        double r254786 = d3;
        double r254787 = 5.0;
        double r254788 = r254786 + r254787;
        double r254789 = r254788 * r254783;
        double r254790 = r254785 + r254789;
        double r254791 = 32.0;
        double r254792 = r254783 * r254791;
        double r254793 = r254790 + r254792;
        return r254793;
}
↓
double f(double d1, double d2, double d3) {
        double r254794 = d1;
        double r254795 = d3;
        double r254796 = 5.0;
        double r254797 = r254795 + r254796;
        double r254798 = 32.0;
        double r254799 = r254797 + r254798;
        double r254800 = d2;
        double r254801 = r254799 + r254800;
        double r254802 = r254794 * r254801;
        return r254802;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019351 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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