Average Error: 0.1 → 0.1
Time: 5.5s
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 r241083 = x;
        double r241084 = y;
        double r241085 = r241083 * r241084;
        double r241086 = z;
        double r241087 = t;
        double r241088 = r241086 * r241087;
        double r241089 = 16.0;
        double r241090 = r241088 / r241089;
        double r241091 = r241085 + r241090;
        double r241092 = a;
        double r241093 = b;
        double r241094 = r241092 * r241093;
        double r241095 = 4.0;
        double r241096 = r241094 / r241095;
        double r241097 = r241091 - r241096;
        double r241098 = c;
        double r241099 = r241097 + r241098;
        return r241099;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c) {
        double r241100 = x;
        double r241101 = y;
        double r241102 = r241100 * r241101;
        double r241103 = z;
        double r241104 = t;
        double r241105 = r241103 * r241104;
        double r241106 = 16.0;
        double r241107 = r241105 / r241106;
        double r241108 = r241102 + r241107;
        double r241109 = a;
        double r241110 = b;
        double r241111 = r241109 * r241110;
        double r241112 = 4.0;
        double r241113 = r241111 / r241112;
        double r241114 = r241108 - r241113;
        double r241115 = c;
        double r241116 = r241114 + r241115;
        return r241116;
}

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 2020018 
(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))