Average Error: 0.1 → 0.1
Time: 12.1s
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 r229096 = x;
        double r229097 = y;
        double r229098 = r229096 * r229097;
        double r229099 = z;
        double r229100 = t;
        double r229101 = r229099 * r229100;
        double r229102 = 16.0;
        double r229103 = r229101 / r229102;
        double r229104 = r229098 + r229103;
        double r229105 = a;
        double r229106 = b;
        double r229107 = r229105 * r229106;
        double r229108 = 4.0;
        double r229109 = r229107 / r229108;
        double r229110 = r229104 - r229109;
        double r229111 = c;
        double r229112 = r229110 + r229111;
        return r229112;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r229113 = x;
        double r229114 = y;
        double r229115 = r229113 * r229114;
        double r229116 = z;
        double r229117 = t;
        double r229118 = r229116 * r229117;
        double r229119 = 16.0;
        double r229120 = r229118 / r229119;
        double r229121 = r229115 + r229120;
        double r229122 = a;
        double r229123 = b;
        double r229124 = r229122 * r229123;
        double r229125 = 4.0;
        double r229126 = r229124 / r229125;
        double r229127 = r229121 - r229126;
        double r229128 = c;
        double r229129 = r229127 + r229128;
        return r229129;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020056 
(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))