Average Error: 0.0 → 0.0
Time: 21.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5.0\right) \cdot d1\right) + d1 \cdot 32.0\]
↓
\[\left(\left(32.0 + \left(d3 + d2\right)\right) + 5.0\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5.0\right) \cdot d1\right) + d1 \cdot 32.0
↓
\left(\left(32.0 + \left(d3 + d2\right)\right) + 5.0\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r6434782 = d1;
        double r6434783 = d2;
        double r6434784 = r6434782 * r6434783;
        double r6434785 = d3;
        double r6434786 = 5.0;
        double r6434787 = r6434785 + r6434786;
        double r6434788 = r6434787 * r6434782;
        double r6434789 = r6434784 + r6434788;
        double r6434790 = 32.0;
        double r6434791 = r6434782 * r6434790;
        double r6434792 = r6434789 + r6434791;
        return r6434792;
}
↓
double f(double d1, double d2, double d3) {
        double r6434793 = 32.0;
        double r6434794 = d3;
        double r6434795 = d2;
        double r6434796 = r6434794 + r6434795;
        double r6434797 = r6434793 + r6434796;
        double r6434798 = 5.0;
        double r6434799 = r6434797 + r6434798;
        double r6434800 = d1;
        double r6434801 = r6434799 * r6434800;
        return r6434801;
}

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
\[d1 \cdot \left(\left(37.0 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5.0\right) \cdot d1\right) + d1 \cdot 32.0\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(32.0 + \left(d2 + d3\right)\right) + 5.0\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(32.0 + \left(d3 + d2\right)\right) + 5.0\right) \cdot d1\]

Reproduce

herbie shell --seed 2019165 +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)))