Average Error: 0.0 → 0.0
Time: 3.8m
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 r162712 = x;
        double r162713 = y;
        double r162714 = r162712 * r162713;
        double r162715 = z;
        double r162716 = t;
        double r162717 = r162715 * r162716;
        double r162718 = r162714 + r162717;
        double r162719 = a;
        double r162720 = b;
        double r162721 = r162719 * r162720;
        double r162722 = r162718 + r162721;
        double r162723 = c;
        double r162724 = i;
        double r162725 = r162723 * r162724;
        double r162726 = r162722 + r162725;
        return r162726;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r162727 = x;
        double r162728 = y;
        double r162729 = r162727 * r162728;
        double r162730 = z;
        double r162731 = t;
        double r162732 = r162730 * r162731;
        double r162733 = r162729 + r162732;
        double r162734 = a;
        double r162735 = b;
        double r162736 = r162734 * r162735;
        double r162737 = r162733 + r162736;
        double r162738 = c;
        double r162739 = i;
        double r162740 = r162738 * r162739;
        double r162741 = r162737 + r162740;
        return r162741;
}

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 2020046 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))