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

Average Error: 0.0 → 0.0

Time: 7.4s

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 r413076 = 1.0;
        double r413077 = 8.0;
        double r413078 = r413076 / r413077;
        double r413079 = x;
        double r413080 = r413078 * r413079;
        double r413081 = y;
        double r413082 = z;
        double r413083 = r413081 * r413082;
        double r413084 = 2.0;
        double r413085 = r413083 / r413084;
        double r413086 = r413080 - r413085;
        double r413087 = t;
        double r413088 = r413086 + r413087;
        return r413088;
}

↓

double f(double x, double y, double z, double t) {
        double r413089 = 1.0;
        double r413090 = 8.0;
        double r413091 = r413089 / r413090;
        double r413092 = x;
        double r413093 = r413091 * r413092;
        double r413094 = y;
        double r413095 = z;
        double r413096 = r413094 * r413095;
        double r413097 = 2.0;
        double r413098 = r413096 / r413097;
        double r413099 = r413093 - r413098;
        double r413100 = t;
        double r413101 = r413099 + r413100;
        return r413101;
}

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 2019235 +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))