Average Error: 0.0 → 0.0
Time: 9.3s
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 r146555 = x;
        double r146556 = y;
        double r146557 = r146555 * r146556;
        double r146558 = z;
        double r146559 = t;
        double r146560 = r146558 * r146559;
        double r146561 = r146557 + r146560;
        double r146562 = a;
        double r146563 = b;
        double r146564 = r146562 * r146563;
        double r146565 = r146561 + r146564;
        double r146566 = c;
        double r146567 = i;
        double r146568 = r146566 * r146567;
        double r146569 = r146565 + r146568;
        return r146569;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r146570 = x;
        double r146571 = y;
        double r146572 = r146570 * r146571;
        double r146573 = z;
        double r146574 = t;
        double r146575 = r146573 * r146574;
        double r146576 = r146572 + r146575;
        double r146577 = a;
        double r146578 = b;
        double r146579 = r146577 * r146578;
        double r146580 = r146576 + r146579;
        double r146581 = c;
        double r146582 = i;
        double r146583 = r146581 * r146582;
        double r146584 = r146580 + r146583;
        return r146584;
}

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 2020027 
(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)))