Average Error: 0.0 → 0.0
Time: 1.8m
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 r169649 = x;
        double r169650 = y;
        double r169651 = r169649 * r169650;
        double r169652 = z;
        double r169653 = t;
        double r169654 = r169652 * r169653;
        double r169655 = r169651 + r169654;
        double r169656 = a;
        double r169657 = b;
        double r169658 = r169656 * r169657;
        double r169659 = r169655 + r169658;
        double r169660 = c;
        double r169661 = i;
        double r169662 = r169660 * r169661;
        double r169663 = r169659 + r169662;
        return r169663;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r169664 = x;
        double r169665 = y;
        double r169666 = r169664 * r169665;
        double r169667 = z;
        double r169668 = t;
        double r169669 = r169667 * r169668;
        double r169670 = r169666 + r169669;
        double r169671 = a;
        double r169672 = b;
        double r169673 = r169671 * r169672;
        double r169674 = r169670 + r169673;
        double r169675 = c;
        double r169676 = i;
        double r169677 = r169675 * r169676;
        double r169678 = r169674 + r169677;
        return r169678;
}

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 2020036 
(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)))