Average Error: 0.0 → 0.0
Time: 12.4s
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 r149440 = d1;
        double r149441 = d2;
        double r149442 = r149440 * r149441;
        double r149443 = d3;
        double r149444 = 5.0;
        double r149445 = r149443 + r149444;
        double r149446 = r149445 * r149440;
        double r149447 = r149442 + r149446;
        double r149448 = 32.0;
        double r149449 = r149440 * r149448;
        double r149450 = r149447 + r149449;
        return r149450;
}
↓
double f(double d1, double d2, double d3) {
        double r149451 = d1;
        double r149452 = 32.0;
        double r149453 = d2;
        double r149454 = d3;
        double r149455 = 5.0;
        double r149456 = r149454 + r149455;
        double r149457 = r149453 + r149456;
        double r149458 = r149452 + r149457;
        double r149459 = r149451 * r149458;
        return r149459;
}

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 2019323 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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