Average Error: 0.0 → 0.0
Time: 31.6s
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 r3879943 = x;
        double r3879944 = y;
        double r3879945 = r3879943 * r3879944;
        double r3879946 = z;
        double r3879947 = t;
        double r3879948 = r3879946 * r3879947;
        double r3879949 = r3879945 + r3879948;
        double r3879950 = a;
        double r3879951 = b;
        double r3879952 = r3879950 * r3879951;
        double r3879953 = r3879949 + r3879952;
        double r3879954 = c;
        double r3879955 = i;
        double r3879956 = r3879954 * r3879955;
        double r3879957 = r3879953 + r3879956;
        return r3879957;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3879958 = c;
        double r3879959 = i;
        double r3879960 = r3879958 * r3879959;
        double r3879961 = z;
        double r3879962 = t;
        double r3879963 = r3879961 * r3879962;
        double r3879964 = x;
        double r3879965 = y;
        double r3879966 = r3879964 * r3879965;
        double r3879967 = r3879963 + r3879966;
        double r3879968 = a;
        double r3879969 = b;
        double r3879970 = r3879968 * r3879969;
        double r3879971 = r3879967 + r3879970;
        double r3879972 = r3879960 + r3879971;
        return r3879972;
}

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 2019168 
(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)))