Average Error: 0.0 → 0.0
Time: 11.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10814622 = d1;
        double r10814623 = d2;
        double r10814624 = r10814622 * r10814623;
        double r10814625 = d3;
        double r10814626 = 5.0;
        double r10814627 = r10814625 + r10814626;
        double r10814628 = r10814627 * r10814622;
        double r10814629 = r10814624 + r10814628;
        double r10814630 = 32.0;
        double r10814631 = r10814622 * r10814630;
        double r10814632 = r10814629 + r10814631;
        return r10814632;
}
↓
double f(double d1, double d2, double d3) {
        double r10814633 = d2;
        double r10814634 = 37.0;
        double r10814635 = d3;
        double r10814636 = r10814634 + r10814635;
        double r10814637 = r10814633 + r10814636;
        double r10814638 = d1;
        double r10814639 = r10814637 * r10814638;
        return r10814639;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019130 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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