Average Error: 0.0 → 0.0
Time: 2.9m
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 r111032 = x;
        double r111033 = y;
        double r111034 = r111032 * r111033;
        double r111035 = z;
        double r111036 = t;
        double r111037 = r111035 * r111036;
        double r111038 = r111034 + r111037;
        double r111039 = a;
        double r111040 = b;
        double r111041 = r111039 * r111040;
        double r111042 = r111038 + r111041;
        double r111043 = c;
        double r111044 = i;
        double r111045 = r111043 * r111044;
        double r111046 = r111042 + r111045;
        return r111046;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r111047 = c;
        double r111048 = i;
        double r111049 = r111047 * r111048;
        double r111050 = z;
        double r111051 = t;
        double r111052 = r111050 * r111051;
        double r111053 = x;
        double r111054 = y;
        double r111055 = r111053 * r111054;
        double r111056 = r111052 + r111055;
        double r111057 = a;
        double r111058 = b;
        double r111059 = r111057 * r111058;
        double r111060 = r111056 + r111059;
        double r111061 = r111049 + r111060;
        return r111061;
}

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 2019196 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))