Average Error: 0.1 → 0.1
Time: 17.5s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[y \cdot 5 + x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right)\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
y \cdot 5 + x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right)
double f(double x, double y, double z, double t) {
        double r143568 = x;
        double r143569 = y;
        double r143570 = z;
        double r143571 = r143569 + r143570;
        double r143572 = r143571 + r143570;
        double r143573 = r143572 + r143569;
        double r143574 = t;
        double r143575 = r143573 + r143574;
        double r143576 = r143568 * r143575;
        double r143577 = 5.0;
        double r143578 = r143569 * r143577;
        double r143579 = r143576 + r143578;
        return r143579;
}
↓
double f(double x, double y, double z, double t) {
        double r143580 = y;
        double r143581 = 5.0;
        double r143582 = r143580 * r143581;
        double r143583 = x;
        double r143584 = z;
        double r143585 = r143580 + r143584;
        double r143586 = r143585 + r143584;
        double r143587 = r143586 + r143580;
        double r143588 = t;
        double r143589 = r143587 + r143588;
        double r143590 = r143583 * r143589;
        double r143591 = r143582 + r143590;
        return r143591;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
  2. Using strategy rm

  3. Applied distribute-rgt-in0.1

    \[\leadsto \color{blue}{\left(\left(\left(\left(y + z\right) + z\right) + y\right) \cdot x + t \cdot x\right)} + y \cdot 5\]

  4. Applied associate-+l+0.1

    \[\leadsto \color{blue}{\left(\left(\left(y + z\right) + z\right) + y\right) \cdot x + \left(t \cdot x + y \cdot 5\right)}\]

  5. Final simplification0.1

    \[\leadsto y \cdot 5 + x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right)\]

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))