Average Error: 0.0 → 0.0
Time: 23.4s
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 r75059 = x;
        double r75060 = y;
        double r75061 = r75059 * r75060;
        double r75062 = z;
        double r75063 = t;
        double r75064 = r75062 * r75063;
        double r75065 = r75061 + r75064;
        double r75066 = a;
        double r75067 = b;
        double r75068 = r75066 * r75067;
        double r75069 = r75065 + r75068;
        double r75070 = c;
        double r75071 = i;
        double r75072 = r75070 * r75071;
        double r75073 = r75069 + r75072;
        return r75073;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r75074 = x;
        double r75075 = y;
        double r75076 = r75074 * r75075;
        double r75077 = z;
        double r75078 = t;
        double r75079 = r75077 * r75078;
        double r75080 = r75076 + r75079;
        double r75081 = a;
        double r75082 = b;
        double r75083 = r75081 * r75082;
        double r75084 = r75080 + r75083;
        double r75085 = c;
        double r75086 = i;
        double r75087 = r75085 * r75086;
        double r75088 = r75084 + r75087;
        return r75088;
}

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 2019306 
(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)))