Average Error: 0.0 → 0.0
Time: 15.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8227615 = d1;
        double r8227616 = d2;
        double r8227617 = r8227615 * r8227616;
        double r8227618 = d3;
        double r8227619 = 5.0;
        double r8227620 = r8227618 + r8227619;
        double r8227621 = r8227620 * r8227615;
        double r8227622 = r8227617 + r8227621;
        double r8227623 = 32.0;
        double r8227624 = r8227615 * r8227623;
        double r8227625 = r8227622 + r8227624;
        return r8227625;
}
↓
double f(double d1, double d2, double d3) {
        double r8227626 = d2;
        double r8227627 = 37.0;
        double r8227628 = r8227626 + r8227627;
        double r8227629 = d3;
        double r8227630 = r8227628 + r8227629;
        double r8227631 = d1;
        double r8227632 = r8227630 * r8227631;
        return r8227632;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019149 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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