Average Error: 0.0 → 0.0
Time: 24.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + \left(d3 + 32\right)\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + \left(d3 + 32\right)\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10451358 = d1;
        double r10451359 = d2;
        double r10451360 = r10451358 * r10451359;
        double r10451361 = d3;
        double r10451362 = 5.0;
        double r10451363 = r10451361 + r10451362;
        double r10451364 = r10451363 * r10451358;
        double r10451365 = r10451360 + r10451364;
        double r10451366 = 32.0;
        double r10451367 = r10451358 * r10451366;
        double r10451368 = r10451365 + r10451367;
        return r10451368;
}
↓
double f(double d1, double d2, double d3) {
        double r10451369 = d2;
        double r10451370 = d3;
        double r10451371 = 32.0;
        double r10451372 = r10451370 + r10451371;
        double r10451373 = r10451369 + r10451372;
        double r10451374 = 5.0;
        double r10451375 = r10451373 + r10451374;
        double r10451376 = d1;
        double r10451377 = r10451375 * r10451376;
        return r10451377;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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