Average Error: 0.0 → 0.0
Time: 7.0s
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 r101112 = x;
        double r101113 = y;
        double r101114 = r101112 * r101113;
        double r101115 = z;
        double r101116 = t;
        double r101117 = r101115 * r101116;
        double r101118 = r101114 + r101117;
        double r101119 = a;
        double r101120 = b;
        double r101121 = r101119 * r101120;
        double r101122 = r101118 + r101121;
        double r101123 = c;
        double r101124 = i;
        double r101125 = r101123 * r101124;
        double r101126 = r101122 + r101125;
        return r101126;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r101127 = x;
        double r101128 = y;
        double r101129 = r101127 * r101128;
        double r101130 = z;
        double r101131 = t;
        double r101132 = r101130 * r101131;
        double r101133 = r101129 + r101132;
        double r101134 = a;
        double r101135 = b;
        double r101136 = r101134 * r101135;
        double r101137 = r101133 + r101136;
        double r101138 = c;
        double r101139 = i;
        double r101140 = r101138 * r101139;
        double r101141 = r101137 + r101140;
        return r101141;
}

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 2020100 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))