Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r318587 = d1;
        double r318588 = d2;
        double r318589 = r318587 * r318588;
        double r318590 = d3;
        double r318591 = 5.0;
        double r318592 = r318590 + r318591;
        double r318593 = r318592 * r318587;
        double r318594 = r318589 + r318593;
        double r318595 = 32.0;
        double r318596 = r318587 * r318595;
        double r318597 = r318594 + r318596;
        return r318597;
}
↓
double f(double d1, double d2, double d3) {
        double r318598 = d1;
        double r318599 = d2;
        double r318600 = d3;
        double r318601 = 5.0;
        double r318602 = r318600 + r318601;
        double r318603 = 32.0;
        double r318604 = r318602 + r318603;
        double r318605 = r318599 + r318604;
        double r318606 = r318598 * r318605;
        return r318606;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020024 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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