Average Error: 0.0 → 0.0
Time: 17.3s
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 r140104 = x;
        double r140105 = y;
        double r140106 = r140104 * r140105;
        double r140107 = z;
        double r140108 = t;
        double r140109 = r140107 * r140108;
        double r140110 = r140106 + r140109;
        double r140111 = a;
        double r140112 = b;
        double r140113 = r140111 * r140112;
        double r140114 = r140110 + r140113;
        double r140115 = c;
        double r140116 = i;
        double r140117 = r140115 * r140116;
        double r140118 = r140114 + r140117;
        return r140118;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r140119 = x;
        double r140120 = y;
        double r140121 = r140119 * r140120;
        double r140122 = z;
        double r140123 = t;
        double r140124 = r140122 * r140123;
        double r140125 = r140121 + r140124;
        double r140126 = a;
        double r140127 = b;
        double r140128 = r140126 * r140127;
        double r140129 = r140125 + r140128;
        double r140130 = c;
        double r140131 = i;
        double r140132 = r140130 * r140131;
        double r140133 = r140129 + r140132;
        return r140133;
}

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 2020047 
(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)))