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

Average Error: 0.0 → 0.0

Time: 6.2s

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 r465017 = 1.0;
        double r465018 = 8.0;
        double r465019 = r465017 / r465018;
        double r465020 = x;
        double r465021 = r465019 * r465020;
        double r465022 = y;
        double r465023 = z;
        double r465024 = r465022 * r465023;
        double r465025 = 2.0;
        double r465026 = r465024 / r465025;
        double r465027 = r465021 - r465026;
        double r465028 = t;
        double r465029 = r465027 + r465028;
        return r465029;
}

↓

double f(double x, double y, double z, double t) {
        double r465030 = 1.0;
        double r465031 = 8.0;
        double r465032 = r465030 / r465031;
        double r465033 = x;
        double r465034 = r465032 * r465033;
        double r465035 = y;
        double r465036 = z;
        double r465037 = r465035 * r465036;
        double r465038 = 2.0;
        double r465039 = r465037 / r465038;
        double r465040 = r465034 - r465039;
        double r465041 = t;
        double r465042 = r465040 + r465041;
        return r465042;
}

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 2019322 
(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))