Average Error: 0.0 → 0.0
Time: 11.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r5409663 = d1;
        double r5409664 = d2;
        double r5409665 = r5409663 * r5409664;
        double r5409666 = d3;
        double r5409667 = 5.0;
        double r5409668 = r5409666 + r5409667;
        double r5409669 = r5409668 * r5409663;
        double r5409670 = r5409665 + r5409669;
        double r5409671 = 32.0;
        double r5409672 = r5409663 * r5409671;
        double r5409673 = r5409670 + r5409672;
        return r5409673;
}
↓
double f(double d1, double d2, double d3) {
        double r5409674 = 37.0;
        double r5409675 = d3;
        double r5409676 = d2;
        double r5409677 = r5409675 + r5409676;
        double r5409678 = r5409674 + r5409677;
        double r5409679 = d1;
        double r5409680 = r5409678 * r5409679;
        return r5409680;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019139 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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