Average Error: 0.0 → 0.0
Time: 7.1s
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 r128801 = d1;
        double r128802 = d2;
        double r128803 = r128801 * r128802;
        double r128804 = d3;
        double r128805 = 5.0;
        double r128806 = r128804 + r128805;
        double r128807 = r128806 * r128801;
        double r128808 = r128803 + r128807;
        double r128809 = 32.0;
        double r128810 = r128801 * r128809;
        double r128811 = r128808 + r128810;
        return r128811;
}
↓
double f(double d1, double d2, double d3) {
        double r128812 = d1;
        double r128813 = d3;
        double r128814 = 5.0;
        double r128815 = r128813 + r128814;
        double r128816 = 32.0;
        double r128817 = r128815 + r128816;
        double r128818 = d2;
        double r128819 = r128817 + r128818;
        double r128820 = r128812 * r128819;
        return r128820;
}

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 2019325 +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)))