Average Error: 0.0 → 0.0
Time: 1.7m
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 r89191 = x;
        double r89192 = y;
        double r89193 = r89191 * r89192;
        double r89194 = z;
        double r89195 = t;
        double r89196 = r89194 * r89195;
        double r89197 = r89193 + r89196;
        double r89198 = a;
        double r89199 = b;
        double r89200 = r89198 * r89199;
        double r89201 = r89197 + r89200;
        double r89202 = c;
        double r89203 = i;
        double r89204 = r89202 * r89203;
        double r89205 = r89201 + r89204;
        return r89205;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r89206 = x;
        double r89207 = y;
        double r89208 = r89206 * r89207;
        double r89209 = z;
        double r89210 = t;
        double r89211 = r89209 * r89210;
        double r89212 = r89208 + r89211;
        double r89213 = a;
        double r89214 = b;
        double r89215 = r89213 * r89214;
        double r89216 = r89212 + r89215;
        double r89217 = c;
        double r89218 = i;
        double r89219 = r89217 * r89218;
        double r89220 = r89216 + r89219;
        return r89220;
}

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 2020003 
(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)))