Average Error: 0.1 → 0.1
Time: 12.6s
Precision: 64
\[\left(x + \sin y\right) + z \cdot \cos y\]
↓
\[x + \left(\sin y + z \cdot \cos y\right)\]
\left(x + \sin y\right) + z \cdot \cos y
↓
x + \left(\sin y + z \cdot \cos y\right)
double f(double x, double y, double z) {
        double r160566 = x;
        double r160567 = y;
        double r160568 = sin(r160567);
        double r160569 = r160566 + r160568;
        double r160570 = z;
        double r160571 = cos(r160567);
        double r160572 = r160570 * r160571;
        double r160573 = r160569 + r160572;
        return r160573;
}
↓
double f(double x, double y, double z) {
        double r160574 = x;
        double r160575 = y;
        double r160576 = sin(r160575);
        double r160577 = z;
        double r160578 = cos(r160575);
        double r160579 = r160577 * r160578;
        double r160580 = r160576 + r160579;
        double r160581 = r160574 + r160580;
        return r160581;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(x + \sin y\right) + z \cdot \cos y\]
  2. Using strategy rm

  3. Applied associate-+l+0.1

    \[\leadsto \color{blue}{x + \left(\sin y + z \cdot \cos y\right)}\]

  4. Final simplification0.1

    \[\leadsto x + \left(\sin y + z \cdot \cos y\right)\]

Reproduce

herbie shell --seed 2019209 
(FPCore (x y z)
  :name "Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C"
  :precision binary64
  (+ (+ x (sin y)) (* z (cos y))))