Average Error: 0.0 → 0.0
Time: 6.7s
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 r93090 = x;
        double r93091 = y;
        double r93092 = r93090 * r93091;
        double r93093 = z;
        double r93094 = t;
        double r93095 = r93093 * r93094;
        double r93096 = r93092 + r93095;
        double r93097 = a;
        double r93098 = b;
        double r93099 = r93097 * r93098;
        double r93100 = r93096 + r93099;
        double r93101 = c;
        double r93102 = i;
        double r93103 = r93101 * r93102;
        double r93104 = r93100 + r93103;
        return r93104;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r93105 = x;
        double r93106 = y;
        double r93107 = r93105 * r93106;
        double r93108 = z;
        double r93109 = t;
        double r93110 = r93108 * r93109;
        double r93111 = r93107 + r93110;
        double r93112 = a;
        double r93113 = b;
        double r93114 = r93112 * r93113;
        double r93115 = r93111 + r93114;
        double r93116 = c;
        double r93117 = i;
        double r93118 = r93116 * r93117;
        double r93119 = r93115 + r93118;
        return r93119;
}

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 2019323 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))