Average Error: 0.0 → 0.0
Time: 6.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r160434 = d1;
        double r160435 = d2;
        double r160436 = r160434 * r160435;
        double r160437 = d3;
        double r160438 = 5.0;
        double r160439 = r160437 + r160438;
        double r160440 = r160439 * r160434;
        double r160441 = r160436 + r160440;
        double r160442 = 32.0;
        double r160443 = r160434 * r160442;
        double r160444 = r160441 + r160443;
        return r160444;
}
↓
double f(double d1, double d2, double d3) {
        double r160445 = d1;
        double r160446 = d3;
        double r160447 = 5.0;
        double r160448 = r160446 + r160447;
        double r160449 = 32.0;
        double r160450 = r160448 + r160449;
        double r160451 = d2;
        double r160452 = r160450 + r160451;
        double r160453 = r160445 * r160452;
        return r160453;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]

Reproduce

herbie shell --seed 2019325 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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