Average Error: 0.0 → 0.0
Time: 3.3m
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 r120276 = x;
        double r120277 = y;
        double r120278 = r120276 * r120277;
        double r120279 = z;
        double r120280 = t;
        double r120281 = r120279 * r120280;
        double r120282 = r120278 + r120281;
        double r120283 = a;
        double r120284 = b;
        double r120285 = r120283 * r120284;
        double r120286 = r120282 + r120285;
        double r120287 = c;
        double r120288 = i;
        double r120289 = r120287 * r120288;
        double r120290 = r120286 + r120289;
        return r120290;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r120291 = x;
        double r120292 = y;
        double r120293 = r120291 * r120292;
        double r120294 = z;
        double r120295 = t;
        double r120296 = r120294 * r120295;
        double r120297 = r120293 + r120296;
        double r120298 = a;
        double r120299 = b;
        double r120300 = r120298 * r120299;
        double r120301 = r120297 + r120300;
        double r120302 = c;
        double r120303 = i;
        double r120304 = r120302 * r120303;
        double r120305 = r120301 + r120304;
        return r120305;
}

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 2020046 
(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)))