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

Average Error: 0.1 → 0.1

Time: 11.2s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\left(x \cdot 3\right) \cdot y - z\]

↓

\[\left(x \cdot 3\right) \cdot y - z\]

C

double f(double x, double y, double z) {
        double r863122 = x;
        double r863123 = 3.0;
        double r863124 = r863122 * r863123;
        double r863125 = y;
        double r863126 = r863124 * r863125;
        double r863127 = z;
        double r863128 = r863126 - r863127;
        return r863128;
}

↓

double f(double x, double y, double z) {
        double r863129 = x;
        double r863130 = 3.0;
        double r863131 = r863129 * r863130;
        double r863132 = y;
        double r863133 = r863131 * r863132;
        double r863134 = z;
        double r863135 = r863133 - r863134;
        return r863135;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Target

Original	0.1
Target	0.1
Herbie	0.1

\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

1. Initial program 0.1

   \[\left(x \cdot 3\right) \cdot y - z\]

2. Final simplification 0.1

   \[\leadsto \left(x \cdot 3\right) \cdot y - z\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (* x (* 3 y)) z)

  (- (* (* x 3) y) z))