Average Error: 0.0 → 0.0
Time: 15.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r57086472 = d1;
        double r57086473 = d2;
        double r57086474 = r57086472 * r57086473;
        double r57086475 = d3;
        double r57086476 = 5.0;
        double r57086477 = r57086475 + r57086476;
        double r57086478 = r57086477 * r57086472;
        double r57086479 = r57086474 + r57086478;
        double r57086480 = 32.0;
        double r57086481 = r57086472 * r57086480;
        double r57086482 = r57086479 + r57086481;
        return r57086482;
}
↓
double f(double d1, double d2, double d3) {
        double r57086483 = d2;
        double r57086484 = d3;
        double r57086485 = 37.0;
        double r57086486 = r57086484 + r57086485;
        double r57086487 = r57086483 + r57086486;
        double r57086488 = d1;
        double r57086489 = r57086487 * r57086488;
        return r57086489;
}

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

    \[\leadsto \color{blue}{\left(\left(37 + d3\right) + d2\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(d3 + 37\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019125 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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