Average Error: 0.2 → 0.2
Time: 2.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) (3.0 * ((double) (2.0 - ((double) (x * 3.0)))))) * x));
}

↓
double code(double x) {
	return ((double) (x * ((double) (6.0 - ((double) (x * 9.0))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original0.2
Target0.2
Herbie0.2
\[\]
Derivation
  1. Initial program 0.2
    \[\]
  2. Simplified0.2
    \[\leadsto \]
  3. Taylor expanded around 0 0.2
    \[\leadsto \]
  4. Simplified0.2
    \[\leadsto \]
  5. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E"
  :precision binary64

  :herbie-target
  (- (* 6.0 x) (* 9.0 (* x x)))

  (* (* 3.0 (- 2.0 (* x 3.0))) x))