Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Average Error: 0.0 → 0.0

Time: 955.0ms

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

C

double f(double x, double y, double z, double t) {
        double r822052 = 1.0;
        double r822053 = 8.0;
        double r822054 = r822052 / r822053;
        double r822055 = x;
        double r822056 = r822054 * r822055;
        double r822057 = y;
        double r822058 = z;
        double r822059 = r822057 * r822058;
        double r822060 = 2.0;
        double r822061 = r822059 / r822060;
        double r822062 = r822056 - r822061;
        double r822063 = t;
        double r822064 = r822062 + r822063;
        return r822064;
}

↓

double f(double x, double y, double z, double t) {
        double r822065 = 1.0;
        double r822066 = 8.0;
        double r822067 = r822065 / r822066;
        double r822068 = x;
        double r822069 = r822067 * r822068;
        double r822070 = y;
        double r822071 = z;
        double r822072 = r822070 * r822071;
        double r822073 = 2.0;
        double r822074 = r822072 / r822073;
        double r822075 = r822069 - r822074;
        double r822076 = t;
        double r822077 = r822075 + r822076;
        return r822077;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

2. Final simplification 0.0

   \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

Reproduce

herbie shell --seed 2020062 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))