Average Error: 0.0 → 0.0
Time: 20.6s
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 r3041200 = x;
        double r3041201 = y;
        double r3041202 = r3041200 * r3041201;
        double r3041203 = z;
        double r3041204 = t;
        double r3041205 = r3041203 * r3041204;
        double r3041206 = r3041202 + r3041205;
        double r3041207 = a;
        double r3041208 = b;
        double r3041209 = r3041207 * r3041208;
        double r3041210 = r3041206 + r3041209;
        double r3041211 = c;
        double r3041212 = i;
        double r3041213 = r3041211 * r3041212;
        double r3041214 = r3041210 + r3041213;
        return r3041214;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3041215 = c;
        double r3041216 = i;
        double r3041217 = r3041215 * r3041216;
        double r3041218 = z;
        double r3041219 = t;
        double r3041220 = r3041218 * r3041219;
        double r3041221 = x;
        double r3041222 = y;
        double r3041223 = r3041221 * r3041222;
        double r3041224 = r3041220 + r3041223;
        double r3041225 = a;
        double r3041226 = b;
        double r3041227 = r3041225 * r3041226;
        double r3041228 = r3041224 + r3041227;
        double r3041229 = r3041217 + r3041228;
        return r3041229;
}

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 2019158 
(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)))