Average Error: 0.0 → 0.0
Time: 18.4s
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 r83561 = x;
        double r83562 = y;
        double r83563 = r83561 * r83562;
        double r83564 = z;
        double r83565 = t;
        double r83566 = r83564 * r83565;
        double r83567 = r83563 + r83566;
        double r83568 = a;
        double r83569 = b;
        double r83570 = r83568 * r83569;
        double r83571 = r83567 + r83570;
        double r83572 = c;
        double r83573 = i;
        double r83574 = r83572 * r83573;
        double r83575 = r83571 + r83574;
        return r83575;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r83576 = x;
        double r83577 = y;
        double r83578 = r83576 * r83577;
        double r83579 = z;
        double r83580 = t;
        double r83581 = r83579 * r83580;
        double r83582 = r83578 + r83581;
        double r83583 = a;
        double r83584 = b;
        double r83585 = r83583 * r83584;
        double r83586 = r83582 + r83585;
        double r83587 = c;
        double r83588 = i;
        double r83589 = r83587 * r83588;
        double r83590 = r83586 + r83589;
        return r83590;
}

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 2019325 
(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)))