Average Error: 0.0 → 0.0
Time: 11.8s
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 r8674466 = d1;
        double r8674467 = d2;
        double r8674468 = r8674466 * r8674467;
        double r8674469 = d3;
        double r8674470 = 5.0;
        double r8674471 = r8674469 + r8674470;
        double r8674472 = r8674471 * r8674466;
        double r8674473 = r8674468 + r8674472;
        double r8674474 = 32.0;
        double r8674475 = r8674466 * r8674474;
        double r8674476 = r8674473 + r8674475;
        return r8674476;
}
↓
double f(double d1, double d2, double d3) {
        double r8674477 = d2;
        double r8674478 = d3;
        double r8674479 = 37.0;
        double r8674480 = r8674478 + r8674479;
        double r8674481 = r8674477 + r8674480;
        double r8674482 = d1;
        double r8674483 = r8674481 * r8674482;
        return r8674483;
}

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 2019133 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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