Average Error: 0.1 → 0.1
Time: 6.7s
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 r145445 = x;
        double r145446 = y;
        double r145447 = z;
        double r145448 = r145446 + r145447;
        double r145449 = r145448 + r145447;
        double r145450 = r145449 + r145446;
        double r145451 = t;
        double r145452 = r145450 + r145451;
        double r145453 = r145445 * r145452;
        double r145454 = 5.0;
        double r145455 = r145446 * r145454;
        double r145456 = r145453 + r145455;
        return r145456;
}
↓
double f(double x, double y, double z, double t) {
        double r145457 = y;
        double r145458 = 5.0;
        double r145459 = r145457 * r145458;
        double r145460 = x;
        double r145461 = z;
        double r145462 = r145457 + r145461;
        double r145463 = r145462 + r145461;
        double r145464 = r145463 + r145457;
        double r145465 = t;
        double r145466 = r145464 + r145465;
        double r145467 = r145460 * r145466;
        double r145468 = r145459 + r145467;
        return r145468;
}

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 +-commutative0.1

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

  4. 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 2020046 
(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)))