Average Error: 0.0 → 0.0
Time: 8.4s
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 r119752 = d1;
        double r119753 = d2;
        double r119754 = r119752 * r119753;
        double r119755 = d3;
        double r119756 = 5.0;
        double r119757 = r119755 + r119756;
        double r119758 = r119757 * r119752;
        double r119759 = r119754 + r119758;
        double r119760 = 32.0;
        double r119761 = r119752 * r119760;
        double r119762 = r119759 + r119761;
        return r119762;
}
↓
double f(double d1, double d2, double d3) {
        double r119763 = d1;
        double r119764 = d2;
        double r119765 = d3;
        double r119766 = 5.0;
        double r119767 = r119765 + r119766;
        double r119768 = 32.0;
        double r119769 = r119767 + r119768;
        double r119770 = r119764 + r119769;
        double r119771 = r119763 * r119770;
        return r119771;
}

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 2019291 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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