Average Error: 0.2 → 0.2
Time: 11.2s
Precision: 64
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
↓
\[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
↓
\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r315196 = x;
        double r315197 = y;
        double r315198 = r315196 * r315197;
        double r315199 = z;
        double r315200 = t;
        double r315201 = r315199 * r315200;
        double r315202 = 16.0;
        double r315203 = r315201 / r315202;
        double r315204 = r315198 + r315203;
        double r315205 = a;
        double r315206 = b;
        double r315207 = r315205 * r315206;
        double r315208 = 4.0;
        double r315209 = r315207 / r315208;
        double r315210 = r315204 - r315209;
        double r315211 = c;
        double r315212 = r315210 + r315211;
        return r315212;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r315213 = x;
        double r315214 = y;
        double r315215 = r315213 * r315214;
        double r315216 = z;
        double r315217 = t;
        double r315218 = r315216 * r315217;
        double r315219 = 16.0;
        double r315220 = r315218 / r315219;
        double r315221 = r315215 + r315220;
        double r315222 = a;
        double r315223 = b;
        double r315224 = r315222 * r315223;
        double r315225 = 4.0;
        double r315226 = r315224 / r315225;
        double r315227 = r315221 - r315226;
        double r315228 = c;
        double r315229 = r315227 + r315228;
        return r315229;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

  2. Final simplification0.2

    \[\leadsto \left(\left(x \cdot y + \frac{z \cdot t}{16}\right) - \frac{a \cdot b}{4}\right) + c\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, C"
  :precision binary64
  (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c))