Average Error: 0.0 → 0.0
Time: 3.8s
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 r215448 = d1;
        double r215449 = d2;
        double r215450 = r215448 * r215449;
        double r215451 = d3;
        double r215452 = 5.0;
        double r215453 = r215451 + r215452;
        double r215454 = r215453 * r215448;
        double r215455 = r215450 + r215454;
        double r215456 = 32.0;
        double r215457 = r215448 * r215456;
        double r215458 = r215455 + r215457;
        return r215458;
}
↓
double f(double d1, double d2, double d3) {
        double r215459 = d1;
        double r215460 = d2;
        double r215461 = d3;
        double r215462 = 5.0;
        double r215463 = r215461 + r215462;
        double r215464 = 32.0;
        double r215465 = r215463 + r215464;
        double r215466 = r215460 + r215465;
        double r215467 = r215459 * r215466;
        return r215467;
}

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 2020049 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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