Average Error: 0.0 → 0.0
Time: 12.7s
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 r162489 = x;
        double r162490 = y;
        double r162491 = r162489 * r162490;
        double r162492 = z;
        double r162493 = t;
        double r162494 = r162492 * r162493;
        double r162495 = r162491 + r162494;
        double r162496 = a;
        double r162497 = b;
        double r162498 = r162496 * r162497;
        double r162499 = r162495 + r162498;
        double r162500 = c;
        double r162501 = i;
        double r162502 = r162500 * r162501;
        double r162503 = r162499 + r162502;
        return r162503;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r162504 = x;
        double r162505 = y;
        double r162506 = r162504 * r162505;
        double r162507 = z;
        double r162508 = t;
        double r162509 = r162507 * r162508;
        double r162510 = r162506 + r162509;
        double r162511 = a;
        double r162512 = b;
        double r162513 = r162511 * r162512;
        double r162514 = r162510 + r162513;
        double r162515 = c;
        double r162516 = i;
        double r162517 = r162515 * r162516;
        double r162518 = r162514 + r162517;
        return r162518;
}

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 2020018 
(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)))