Average Error: 0.0 → 0.0
Time: 2.5m
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 r3183544 = x;
        double r3183545 = y;
        double r3183546 = r3183544 * r3183545;
        double r3183547 = z;
        double r3183548 = t;
        double r3183549 = r3183547 * r3183548;
        double r3183550 = r3183546 + r3183549;
        double r3183551 = a;
        double r3183552 = b;
        double r3183553 = r3183551 * r3183552;
        double r3183554 = r3183550 + r3183553;
        double r3183555 = c;
        double r3183556 = i;
        double r3183557 = r3183555 * r3183556;
        double r3183558 = r3183554 + r3183557;
        return r3183558;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3183559 = c;
        double r3183560 = i;
        double r3183561 = r3183559 * r3183560;
        double r3183562 = z;
        double r3183563 = t;
        double r3183564 = r3183562 * r3183563;
        double r3183565 = x;
        double r3183566 = y;
        double r3183567 = r3183565 * r3183566;
        double r3183568 = r3183564 + r3183567;
        double r3183569 = a;
        double r3183570 = b;
        double r3183571 = r3183569 * r3183570;
        double r3183572 = r3183568 + r3183571;
        double r3183573 = r3183561 + r3183572;
        return r3183573;
}

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 2019165 
(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)))