Average Error: 0.0 → 0.0
Time: 2.7s
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 r248819 = d1;
        double r248820 = d2;
        double r248821 = r248819 * r248820;
        double r248822 = d3;
        double r248823 = 5.0;
        double r248824 = r248822 + r248823;
        double r248825 = r248824 * r248819;
        double r248826 = r248821 + r248825;
        double r248827 = 32.0;
        double r248828 = r248819 * r248827;
        double r248829 = r248826 + r248828;
        return r248829;
}
↓
double f(double d1, double d2, double d3) {
        double r248830 = d1;
        double r248831 = d2;
        double r248832 = d3;
        double r248833 = 5.0;
        double r248834 = r248832 + r248833;
        double r248835 = 32.0;
        double r248836 = r248834 + r248835;
        double r248837 = r248831 + r248836;
        double r248838 = r248830 * r248837;
        return r248838;
}

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 2020027 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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