Average Error: 0.0 → 0.0
Time: 14.9s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1500941 = x;
        double r1500942 = y;
        double r1500943 = r1500941 * r1500942;
        double r1500944 = z;
        double r1500945 = t;
        double r1500946 = r1500944 * r1500945;
        double r1500947 = r1500943 + r1500946;
        double r1500948 = a;
        double r1500949 = b;
        double r1500950 = r1500948 * r1500949;
        double r1500951 = r1500947 + r1500950;
        double r1500952 = c;
        double r1500953 = i;
        double r1500954 = r1500952 * r1500953;
        double r1500955 = r1500951 + r1500954;
        return r1500955;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1500956 = c;
        double r1500957 = i;
        double r1500958 = r1500956 * r1500957;
        double r1500959 = z;
        double r1500960 = t;
        double r1500961 = r1500959 * r1500960;
        double r1500962 = x;
        double r1500963 = y;
        double r1500964 = r1500962 * r1500963;
        double r1500965 = r1500961 + r1500964;
        double r1500966 = a;
        double r1500967 = b;
        double r1500968 = r1500966 * r1500967;
        double r1500969 = r1500965 + r1500968;
        double r1500970 = r1500958 + r1500969;
        return r1500970;
}

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

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))