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

Average Error: 0.2 → 0.2

Time: 1.6s

Precision: 64

Math

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

↓

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

C

double code(double x, double y, double z) {
	return (((x * 3.0) * y) - z);
}

↓

double code(double x, double y, double z) {
	return (((x * 3.0) * y) - z);
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Target

Original	0.2
Target	0.1
Herbie	0.2

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

Derivation

1. Initial program 0.2

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

2. Final simplification 0.2

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

Reproduce

herbie shell --seed 2020091 
(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))