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

Average Error: 0.0 → 0.0

Time: 898.0ms

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 r893091 = 1.0;
        double r893092 = 8.0;
        double r893093 = r893091 / r893092;
        double r893094 = x;
        double r893095 = r893093 * r893094;
        double r893096 = y;
        double r893097 = z;
        double r893098 = r893096 * r893097;
        double r893099 = 2.0;
        double r893100 = r893098 / r893099;
        double r893101 = r893095 - r893100;
        double r893102 = t;
        double r893103 = r893101 + r893102;
        return r893103;
}

↓

double f(double x, double y, double z, double t) {
        double r893104 = 1.0;
        double r893105 = 8.0;
        double r893106 = r893104 / r893105;
        double r893107 = x;
        double r893108 = r893106 * r893107;
        double r893109 = y;
        double r893110 = z;
        double r893111 = r893109 * r893110;
        double r893112 = 2.0;
        double r893113 = r893111 / r893112;
        double r893114 = r893108 - r893113;
        double r893115 = t;
        double r893116 = r893114 + r893115;
        return r893116;
}

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 2019362 
(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))