Average Error: 0.0 → 0.0
Time: 16.2s
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 r119942 = x;
        double r119943 = y;
        double r119944 = r119942 * r119943;
        double r119945 = z;
        double r119946 = t;
        double r119947 = r119945 * r119946;
        double r119948 = r119944 + r119947;
        double r119949 = a;
        double r119950 = b;
        double r119951 = r119949 * r119950;
        double r119952 = r119948 + r119951;
        double r119953 = c;
        double r119954 = i;
        double r119955 = r119953 * r119954;
        double r119956 = r119952 + r119955;
        return r119956;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r119957 = x;
        double r119958 = y;
        double r119959 = r119957 * r119958;
        double r119960 = z;
        double r119961 = t;
        double r119962 = r119960 * r119961;
        double r119963 = r119959 + r119962;
        double r119964 = a;
        double r119965 = b;
        double r119966 = r119964 * r119965;
        double r119967 = r119963 + r119966;
        double r119968 = c;
        double r119969 = i;
        double r119970 = r119968 * r119969;
        double r119971 = r119967 + r119970;
        return r119971;
}

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 2020056 
(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)))