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

Average Error: 0.0 → 0.0

Time: 1.8s

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 r502028 = 1.0;
        double r502029 = 8.0;
        double r502030 = r502028 / r502029;
        double r502031 = x;
        double r502032 = r502030 * r502031;
        double r502033 = y;
        double r502034 = z;
        double r502035 = r502033 * r502034;
        double r502036 = 2.0;
        double r502037 = r502035 / r502036;
        double r502038 = r502032 - r502037;
        double r502039 = t;
        double r502040 = r502038 + r502039;
        return r502040;
}

↓

double f(double x, double y, double z, double t) {
        double r502041 = 1.0;
        double r502042 = 8.0;
        double r502043 = r502041 / r502042;
        double r502044 = x;
        double r502045 = r502043 * r502044;
        double r502046 = y;
        double r502047 = z;
        double r502048 = r502046 * r502047;
        double r502049 = 2.0;
        double r502050 = r502048 / r502049;
        double r502051 = r502045 - r502050;
        double r502052 = t;
        double r502053 = r502051 + r502052;
        return r502053;
}

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 2019325 
(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))