Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r204430 = d1;
        double r204431 = d2;
        double r204432 = r204430 * r204431;
        double r204433 = d3;
        double r204434 = 5.0;
        double r204435 = r204433 + r204434;
        double r204436 = r204435 * r204430;
        double r204437 = r204432 + r204436;
        double r204438 = 32.0;
        double r204439 = r204430 * r204438;
        double r204440 = r204437 + r204439;
        return r204440;
}
↓
double f(double d1, double d2, double d3) {
        double r204441 = d1;
        double r204442 = 32.0;
        double r204443 = d2;
        double r204444 = d3;
        double r204445 = 5.0;
        double r204446 = r204444 + r204445;
        double r204447 = r204443 + r204446;
        double r204448 = r204442 + r204447;
        double r204449 = r204441 * r204448;
        return r204449;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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