Average Error: 0.0 → 0.0
Time: 11.2s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r195550 = x;
        double r195551 = y;
        double r195552 = r195550 * r195551;
        double r195553 = z;
        double r195554 = t;
        double r195555 = r195553 * r195554;
        double r195556 = r195552 + r195555;
        double r195557 = a;
        double r195558 = b;
        double r195559 = r195557 * r195558;
        double r195560 = r195556 + r195559;
        double r195561 = c;
        double r195562 = i;
        double r195563 = r195561 * r195562;
        double r195564 = r195560 + r195563;
        return r195564;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r195565 = x;
        double r195566 = y;
        double r195567 = r195565 * r195566;
        double r195568 = z;
        double r195569 = t;
        double r195570 = r195568 * r195569;
        double r195571 = r195567 + r195570;
        double r195572 = a;
        double r195573 = b;
        double r195574 = r195572 * r195573;
        double r195575 = r195571 + r195574;
        double r195576 = c;
        double r195577 = i;
        double r195578 = r195576 * r195577;
        double r195579 = r195575 + r195578;
        return r195579;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Final simplification0.0

    \[\leadsto \left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

Reproduce

herbie shell --seed 2020062 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))