Average Error: 0.0 → 0.0
Time: 36.6s
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 r64768637 = d1;
        double r64768638 = d2;
        double r64768639 = r64768637 * r64768638;
        double r64768640 = d3;
        double r64768641 = 5.0;
        double r64768642 = r64768640 + r64768641;
        double r64768643 = r64768642 * r64768637;
        double r64768644 = r64768639 + r64768643;
        double r64768645 = 32.0;
        double r64768646 = r64768637 * r64768645;
        double r64768647 = r64768644 + r64768646;
        return r64768647;
}
↓
double f(double d1, double d2, double d3) {
        double r64768648 = 37.0;
        double r64768649 = d3;
        double r64768650 = r64768648 + r64768649;
        double r64768651 = d2;
        double r64768652 = r64768650 + r64768651;
        double r64768653 = d1;
        double r64768654 = r64768652 * r64768653;
        return r64768654;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019128 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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