Average Error: 0.0 → 0.0
Time: 19.8s
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 r4550615 = x;
        double r4550616 = y;
        double r4550617 = r4550615 * r4550616;
        double r4550618 = z;
        double r4550619 = t;
        double r4550620 = r4550618 * r4550619;
        double r4550621 = r4550617 + r4550620;
        double r4550622 = a;
        double r4550623 = b;
        double r4550624 = r4550622 * r4550623;
        double r4550625 = r4550621 + r4550624;
        double r4550626 = c;
        double r4550627 = i;
        double r4550628 = r4550626 * r4550627;
        double r4550629 = r4550625 + r4550628;
        return r4550629;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4550630 = c;
        double r4550631 = i;
        double r4550632 = r4550630 * r4550631;
        double r4550633 = z;
        double r4550634 = t;
        double r4550635 = r4550633 * r4550634;
        double r4550636 = x;
        double r4550637 = y;
        double r4550638 = r4550636 * r4550637;
        double r4550639 = r4550635 + r4550638;
        double r4550640 = a;
        double r4550641 = b;
        double r4550642 = r4550640 * r4550641;
        double r4550643 = r4550639 + r4550642;
        double r4550644 = r4550632 + r4550643;
        return r4550644;
}

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 2019170 
(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)))