Average Error: 0.0 → 0.0
Time: 9.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r9160358 = d1;
        double r9160359 = d2;
        double r9160360 = r9160358 * r9160359;
        double r9160361 = d3;
        double r9160362 = 5.0;
        double r9160363 = r9160361 + r9160362;
        double r9160364 = r9160363 * r9160358;
        double r9160365 = r9160360 + r9160364;
        double r9160366 = 32.0;
        double r9160367 = r9160358 * r9160366;
        double r9160368 = r9160365 + r9160367;
        return r9160368;
}
↓
double f(double d1, double d2, double d3) {
        double r9160369 = d2;
        double r9160370 = d3;
        double r9160371 = r9160369 + r9160370;
        double r9160372 = 32.0;
        double r9160373 = r9160371 + r9160372;
        double r9160374 = 5.0;
        double r9160375 = r9160373 + r9160374;
        double r9160376 = d1;
        double r9160377 = r9160375 * r9160376;
        return r9160377;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))