Average Error: 0.0 → 0.0
Time: 2.9s
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 r213466 = d1;
        double r213467 = d2;
        double r213468 = r213466 * r213467;
        double r213469 = d3;
        double r213470 = 5.0;
        double r213471 = r213469 + r213470;
        double r213472 = r213471 * r213466;
        double r213473 = r213468 + r213472;
        double r213474 = 32.0;
        double r213475 = r213466 * r213474;
        double r213476 = r213473 + r213475;
        return r213476;
}
↓
double f(double d1, double d2, double d3) {
        double r213477 = d1;
        double r213478 = d2;
        double r213479 = d3;
        double r213480 = 5.0;
        double r213481 = r213479 + r213480;
        double r213482 = 32.0;
        double r213483 = r213481 + r213482;
        double r213484 = r213478 + r213483;
        double r213485 = r213477 * r213484;
        return r213485;
}

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 2020003 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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