Average Error: 0.0 → 0.0
Time: 10.6s
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 r131348 = d1;
        double r131349 = d2;
        double r131350 = r131348 * r131349;
        double r131351 = d3;
        double r131352 = 5.0;
        double r131353 = r131351 + r131352;
        double r131354 = r131353 * r131348;
        double r131355 = r131350 + r131354;
        double r131356 = 32.0;
        double r131357 = r131348 * r131356;
        double r131358 = r131355 + r131357;
        return r131358;
}
↓
double f(double d1, double d2, double d3) {
        double r131359 = d1;
        double r131360 = d3;
        double r131361 = 5.0;
        double r131362 = r131360 + r131361;
        double r131363 = 32.0;
        double r131364 = r131362 + r131363;
        double r131365 = d2;
        double r131366 = r131364 + r131365;
        double r131367 = r131359 * r131366;
        return r131367;
}

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 2019323 +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)))