Average Error: 0.1 → 0.1
Time: 37.6s
Precision: 64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[y \cdot \left(z + x \cdot y\right) + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
y \cdot \left(z + x \cdot y\right) + t
double f(double x, double y, double z, double t) {
        double r8757545 = x;
        double r8757546 = y;
        double r8757547 = r8757545 * r8757546;
        double r8757548 = z;
        double r8757549 = r8757547 + r8757548;
        double r8757550 = r8757549 * r8757546;
        double r8757551 = t;
        double r8757552 = r8757550 + r8757551;
        return r8757552;
}
↓
double f(double x, double y, double z, double t) {
        double r8757553 = y;
        double r8757554 = z;
        double r8757555 = x;
        double r8757556 = r8757555 * r8757553;
        double r8757557 = r8757554 + r8757556;
        double r8757558 = r8757553 * r8757557;
        double r8757559 = t;
        double r8757560 = r8757558 + r8757559;
        return r8757560;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))