Average Error: 0.0 → 0.0
Time: 10.2s
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 r60564 = x;
        double r60565 = y;
        double r60566 = r60564 * r60565;
        double r60567 = z;
        double r60568 = t;
        double r60569 = r60567 * r60568;
        double r60570 = r60566 + r60569;
        double r60571 = a;
        double r60572 = b;
        double r60573 = r60571 * r60572;
        double r60574 = r60570 + r60573;
        double r60575 = c;
        double r60576 = i;
        double r60577 = r60575 * r60576;
        double r60578 = r60574 + r60577;
        return r60578;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r60579 = x;
        double r60580 = y;
        double r60581 = r60579 * r60580;
        double r60582 = z;
        double r60583 = t;
        double r60584 = r60582 * r60583;
        double r60585 = r60581 + r60584;
        double r60586 = a;
        double r60587 = b;
        double r60588 = r60586 * r60587;
        double r60589 = r60585 + r60588;
        double r60590 = c;
        double r60591 = i;
        double r60592 = r60590 * r60591;
        double r60593 = r60589 + r60592;
        return r60593;
}

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 2019208 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))