Average Error: 0.0 → 0.0
Time: 29.5s
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 r85652 = x;
        double r85653 = y;
        double r85654 = r85652 * r85653;
        double r85655 = z;
        double r85656 = t;
        double r85657 = r85655 * r85656;
        double r85658 = r85654 + r85657;
        double r85659 = a;
        double r85660 = b;
        double r85661 = r85659 * r85660;
        double r85662 = r85658 + r85661;
        double r85663 = c;
        double r85664 = i;
        double r85665 = r85663 * r85664;
        double r85666 = r85662 + r85665;
        return r85666;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r85667 = x;
        double r85668 = y;
        double r85669 = r85667 * r85668;
        double r85670 = z;
        double r85671 = t;
        double r85672 = r85670 * r85671;
        double r85673 = r85669 + r85672;
        double r85674 = a;
        double r85675 = b;
        double r85676 = r85674 * r85675;
        double r85677 = r85673 + r85676;
        double r85678 = c;
        double r85679 = i;
        double r85680 = r85678 * r85679;
        double r85681 = r85677 + r85680;
        return r85681;
}

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 2019303 
(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)))