Average Error: 0.0 → 0.0
Time: 22.1s
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 r2727939 = x;
        double r2727940 = y;
        double r2727941 = r2727939 * r2727940;
        double r2727942 = z;
        double r2727943 = t;
        double r2727944 = r2727942 * r2727943;
        double r2727945 = r2727941 + r2727944;
        double r2727946 = a;
        double r2727947 = b;
        double r2727948 = r2727946 * r2727947;
        double r2727949 = r2727945 + r2727948;
        double r2727950 = c;
        double r2727951 = i;
        double r2727952 = r2727950 * r2727951;
        double r2727953 = r2727949 + r2727952;
        return r2727953;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2727954 = c;
        double r2727955 = i;
        double r2727956 = r2727954 * r2727955;
        double r2727957 = z;
        double r2727958 = t;
        double r2727959 = r2727957 * r2727958;
        double r2727960 = x;
        double r2727961 = y;
        double r2727962 = r2727960 * r2727961;
        double r2727963 = r2727959 + r2727962;
        double r2727964 = a;
        double r2727965 = b;
        double r2727966 = r2727964 * r2727965;
        double r2727967 = r2727963 + r2727966;
        double r2727968 = r2727956 + r2727967;
        return r2727968;
}

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 2019151 
(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)))