Average Error: 0.0 → 0.0
Time: 26.6s
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 r2477528 = x;
        double r2477529 = y;
        double r2477530 = r2477528 * r2477529;
        double r2477531 = z;
        double r2477532 = t;
        double r2477533 = r2477531 * r2477532;
        double r2477534 = r2477530 + r2477533;
        double r2477535 = a;
        double r2477536 = b;
        double r2477537 = r2477535 * r2477536;
        double r2477538 = r2477534 + r2477537;
        double r2477539 = c;
        double r2477540 = i;
        double r2477541 = r2477539 * r2477540;
        double r2477542 = r2477538 + r2477541;
        return r2477542;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2477543 = c;
        double r2477544 = i;
        double r2477545 = r2477543 * r2477544;
        double r2477546 = z;
        double r2477547 = t;
        double r2477548 = r2477546 * r2477547;
        double r2477549 = x;
        double r2477550 = y;
        double r2477551 = r2477549 * r2477550;
        double r2477552 = r2477548 + r2477551;
        double r2477553 = a;
        double r2477554 = b;
        double r2477555 = r2477553 * r2477554;
        double r2477556 = r2477552 + r2477555;
        double r2477557 = r2477545 + r2477556;
        return r2477557;
}

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 2019133 
(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)))