Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1767580 = x;
        double r1767581 = y;
        double r1767582 = r1767580 * r1767581;
        double r1767583 = z;
        double r1767584 = t;
        double r1767585 = r1767583 * r1767584;
        double r1767586 = r1767582 + r1767585;
        double r1767587 = a;
        double r1767588 = b;
        double r1767589 = r1767587 * r1767588;
        double r1767590 = r1767586 + r1767589;
        double r1767591 = c;
        double r1767592 = i;
        double r1767593 = r1767591 * r1767592;
        double r1767594 = r1767590 + r1767593;
        return r1767594;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1767595 = c;
        double r1767596 = i;
        double r1767597 = r1767595 * r1767596;
        double r1767598 = z;
        double r1767599 = t;
        double r1767600 = r1767598 * r1767599;
        double r1767601 = x;
        double r1767602 = y;
        double r1767603 = r1767601 * r1767602;
        double r1767604 = r1767600 + r1767603;
        double r1767605 = a;
        double r1767606 = b;
        double r1767607 = r1767605 * r1767606;
        double r1767608 = r1767604 + r1767607;
        double r1767609 = r1767597 + r1767608;
        return r1767609;
}

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

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

Reproduce

herbie shell --seed 2019132 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))