Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r4325806 = d1;
        double r4325807 = d2;
        double r4325808 = r4325806 * r4325807;
        double r4325809 = d3;
        double r4325810 = 5.0;
        double r4325811 = r4325809 + r4325810;
        double r4325812 = r4325811 * r4325806;
        double r4325813 = r4325808 + r4325812;
        double r4325814 = 32.0;
        double r4325815 = r4325806 * r4325814;
        double r4325816 = r4325813 + r4325815;
        return r4325816;
}
↓
double f(double d1, double d2, double d3) {
        double r4325817 = 37.0;
        double r4325818 = d3;
        double r4325819 = r4325817 + r4325818;
        double r4325820 = d2;
        double r4325821 = r4325819 + r4325820;
        double r4325822 = d1;
        double r4325823 = r4325821 * r4325822;
        return r4325823;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(37 + d3\right) + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(37 + d3\right) + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2019151 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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