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

Average Error: 0.0 → 0.0

Time: 15.4s

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 r496074 = 1.0;
        double r496075 = 8.0;
        double r496076 = r496074 / r496075;
        double r496077 = x;
        double r496078 = r496076 * r496077;
        double r496079 = y;
        double r496080 = z;
        double r496081 = r496079 * r496080;
        double r496082 = 2.0;
        double r496083 = r496081 / r496082;
        double r496084 = r496078 - r496083;
        double r496085 = t;
        double r496086 = r496084 + r496085;
        return r496086;
}

↓

double f(double x, double y, double z, double t) {
        double r496087 = 1.0;
        double r496088 = 8.0;
        double r496089 = r496087 / r496088;
        double r496090 = x;
        double r496091 = r496089 * r496090;
        double r496092 = y;
        double r496093 = z;
        double r496094 = r496092 * r496093;
        double r496095 = 2.0;
        double r496096 = r496094 / r496095;
        double r496097 = r496091 - r496096;
        double r496098 = t;
        double r496099 = r496097 + r496098;
        return r496099;
}

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 2019199 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))