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

Average Error: 0.0 → 0.0

Time: 1.2s

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 r721996 = 1.0;
        double r721997 = 8.0;
        double r721998 = r721996 / r721997;
        double r721999 = x;
        double r722000 = r721998 * r721999;
        double r722001 = y;
        double r722002 = z;
        double r722003 = r722001 * r722002;
        double r722004 = 2.0;
        double r722005 = r722003 / r722004;
        double r722006 = r722000 - r722005;
        double r722007 = t;
        double r722008 = r722006 + r722007;
        return r722008;
}

↓

double f(double x, double y, double z, double t) {
        double r722009 = 1.0;
        double r722010 = 8.0;
        double r722011 = r722009 / r722010;
        double r722012 = x;
        double r722013 = r722011 * r722012;
        double r722014 = y;
        double r722015 = z;
        double r722016 = r722014 * r722015;
        double r722017 = 2.0;
        double r722018 = r722016 / r722017;
        double r722019 = r722013 - r722018;
        double r722020 = t;
        double r722021 = r722019 + r722020;
        return r722021;
}

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 +o rules:numerics
(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))