6.577 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.137 * * * [progress]: [2/2] Setting up program.
0.139 * [progress]: [Phase 2 of 3] Improving.
0.139 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ (- 1.0 (cos x)) (sin x))
0.141 * * [simplify]: iteration  0 :  11  enodes  (cost  4 )
0.142 * * [simplify]: iteration  1 :  14  enodes  (cost  4 )
0.144 * * [simplify]: iteration  2 :  16  enodes  (cost  4 )
0.145 * * [simplify]: iteration  3 :  16  enodes  (cost  4 )
0.145 * [simplify]: Simplified to:
   (/ (- 1.0 (cos x)) (sin x))
0.145 * * [progress]: iteration 1 / 4
0.145 * * * [progress]: picking best candidate
0.147 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1.0 (cos x)) (sin x)))>
0.147 * * * [progress]: localizing error
0.154 * * * [progress]: generating rewritten candidates
0.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.165 * * * [progress]: generating series expansions
0.165 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.165 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0
0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.165 * [taylor]: Taking taylor expansion of 1.0 in x
0.165 * [taylor]: Taking taylor expansion of (cos x) in x
0.165 * [taylor]: Taking taylor expansion of x in x
0.165 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.165 * [taylor]: Taking taylor expansion of 1.0 in x
0.165 * [taylor]: Taking taylor expansion of (cos x) in x
0.165 * [taylor]: Taking taylor expansion of x in x
0.177 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0
0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.177 * [taylor]: Taking taylor expansion of 1.0 in x
0.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.177 * [taylor]: Taking taylor expansion of x in x
0.177 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.177 * [taylor]: Taking taylor expansion of 1.0 in x
0.177 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.177 * [taylor]: Taking taylor expansion of x in x
0.180 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0
0.180 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.180 * [taylor]: Taking taylor expansion of 1.0 in x
0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.180 * [taylor]: Taking taylor expansion of -1 in x
0.180 * [taylor]: Taking taylor expansion of x in x
0.181 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.181 * [taylor]: Taking taylor expansion of 1.0 in x
0.181 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.181 * [taylor]: Taking taylor expansion of -1 in x
0.181 * [taylor]: Taking taylor expansion of x in x
0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.184 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0
0.184 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
0.184 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.184 * [taylor]: Taking taylor expansion of 1.0 in x
0.184 * [taylor]: Taking taylor expansion of (cos x) in x
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [taylor]: Taking taylor expansion of (sin x) in x
0.184 * [taylor]: Taking taylor expansion of x in x
0.187 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
0.187 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.187 * [taylor]: Taking taylor expansion of 1.0 in x
0.187 * [taylor]: Taking taylor expansion of (cos x) in x
0.187 * [taylor]: Taking taylor expansion of x in x
0.187 * [taylor]: Taking taylor expansion of (sin x) in x
0.187 * [taylor]: Taking taylor expansion of x in x
0.204 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0
0.204 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
0.204 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.204 * [taylor]: Taking taylor expansion of 1.0 in x
0.204 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.204 * [taylor]: Taking taylor expansion of x in x
0.205 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
0.205 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.205 * [taylor]: Taking taylor expansion of 1.0 in x
0.205 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.206 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.211 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0
0.211 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
0.211 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.211 * [taylor]: Taking taylor expansion of 1.0 in x
0.211 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.211 * [taylor]: Taking taylor expansion of -1 in x
0.211 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.212 * [taylor]: Taking taylor expansion of -1 in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
0.212 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.212 * [taylor]: Taking taylor expansion of 1.0 in x
0.212 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.212 * [taylor]: Taking taylor expansion of -1 in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.213 * [taylor]: Taking taylor expansion of -1 in x
0.213 * [taylor]: Taking taylor expansion of x in x
0.218 * * * [progress]: simplifying candidates
0.218 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (pow 1.0 3) (pow (cos x) 3))
  (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (- (- 1.0 (cos x)))
  (- (sin x))
  (/ 1.0 (sin x))
  (/ (cos x) (sin x))
  (/ 1 (sin x))
  (/ (sin x) (- 1.0 (cos x)))
  (* (sin x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))
  (* (sin x) (+ 1.0 (cos x)))
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
0.221 * * [simplify]: iteration  0 :  124  enodes  (cost  74 )
0.224 * * [simplify]: iteration  1 :  332  enodes  (cost  72 )
0.230 * * [simplify]: iteration  2 :  964  enodes  (cost  72 )
0.253 * * [simplify]: iteration  3 :  3956  enodes  (cost  71 )
0.363 * * [simplify]: iteration  4 :  5001  enodes  (cost  71 )
0.365 * [simplify]: Simplified to:
   (- (pow 1.0 3) (pow (cos x) 3))
  (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (- (cos x) 1.0)
  (- (sin x))
  (/ 1.0 (sin x))
  (/ (cos x) (sin x))
  (/ 1 (sin x))
  (/ (sin x) (- 1.0 (cos x)))
  (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) (sin x))
  (* (sin x) (+ 1.0 (cos x)))
  (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4))))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
0.365 * * * [progress]: adding candidates to table
0.402 * * [progress]: iteration 2 / 4
0.402 * * * [progress]: picking best candidate
0.420 * * * * [pick]: Picked  #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))>
0.420 * * * [progress]: localizing error
0.429 * * * [progress]: generating rewritten candidates
0.429 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3)
0.430 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.431 * * * [progress]: generating series expansions
0.431 * * * * [progress]: [ 1 / 2 ] generating series at (2 3)
0.431 * [approximate]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in (x) around 0
0.431 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x
0.431 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x))
0.431 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x
0.431 * [taylor]: Taking taylor expansion of 1/240 in x
0.431 * [taylor]: Taking taylor expansion of (pow x 5) in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.431 * [taylor]: Taking taylor expansion of 1/2 in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x
0.431 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x))
0.431 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x
0.431 * [taylor]: Taking taylor expansion of 1/240 in x
0.431 * [taylor]: Taking taylor expansion of (pow x 5) in x
0.432 * [taylor]: Taking taylor expansion of x in x
0.432 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.432 * [taylor]: Taking taylor expansion of 1/2 in x
0.432 * [taylor]: Taking taylor expansion of x in x
0.463 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in (x) around 0
0.463 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x
0.463 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x))
0.464 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x
0.464 * [taylor]: Taking taylor expansion of 1/240 in x
0.464 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x
0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.464 * [taylor]: Taking taylor expansion of x in x
0.464 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.464 * [taylor]: Taking taylor expansion of 1/2 in x
0.464 * [taylor]: Taking taylor expansion of x in x
0.464 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x
0.464 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x))
0.464 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x
0.464 * [taylor]: Taking taylor expansion of 1/240 in x
0.464 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x
0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.464 * [taylor]: Taking taylor expansion of x in x
0.465 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.465 * [taylor]: Taking taylor expansion of 1/2 in x
0.465 * [taylor]: Taking taylor expansion of x in x
0.505 * [approximate]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in (x) around 0
0.505 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x
0.505 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x))
0.505 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x
0.505 * [taylor]: Taking taylor expansion of 1/240 in x
0.505 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x
0.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.505 * [taylor]: Taking taylor expansion of -1 in x
0.505 * [taylor]: Taking taylor expansion of x in x
0.506 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.506 * [taylor]: Taking taylor expansion of -1/2 in x
0.506 * [taylor]: Taking taylor expansion of x in x
0.506 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x
0.506 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x))
0.506 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x
0.506 * [taylor]: Taking taylor expansion of 1/240 in x
0.506 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x
0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.506 * [taylor]: Taking taylor expansion of -1 in x
0.506 * [taylor]: Taking taylor expansion of x in x
0.507 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.507 * [taylor]: Taking taylor expansion of -1/2 in x
0.507 * [taylor]: Taking taylor expansion of x in x
0.554 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.555 * [approximate]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in (x) around 0
0.555 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x
0.555 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x)))
0.555 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x
0.555 * [taylor]: Taking taylor expansion of 1/24 in x
0.555 * [taylor]: Taking taylor expansion of (pow x 3) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x
0.555 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x))
0.555 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x
0.555 * [taylor]: Taking taylor expansion of 1/240 in x
0.555 * [taylor]: Taking taylor expansion of (pow x 5) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.555 * [taylor]: Taking taylor expansion of 1/2 in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [taylor]: Taking taylor expansion of (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) in x
0.555 * [taylor]: Rewrote expression to (+ (* 1/24 (pow x 3)) (fma 1/240 (pow x 5) (* 1/2 x)))
0.555 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 3)) in x
0.555 * [taylor]: Taking taylor expansion of 1/24 in x
0.555 * [taylor]: Taking taylor expansion of (pow x 3) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [taylor]: Taking taylor expansion of (fma 1/240 (pow x 5) (* 1/2 x)) in x
0.555 * [taylor]: Rewrote expression to (+ (* 1/240 (pow x 5)) (* 1/2 x))
0.555 * [taylor]: Taking taylor expansion of (* 1/240 (pow x 5)) in x
0.555 * [taylor]: Taking taylor expansion of 1/240 in x
0.555 * [taylor]: Taking taylor expansion of (pow x 5) in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.555 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
0.555 * [taylor]: Taking taylor expansion of 1/2 in x
0.555 * [taylor]: Taking taylor expansion of x in x
0.566 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in (x) around 0
0.566 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x
0.566 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)))
0.566 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x
0.566 * [taylor]: Taking taylor expansion of 1/24 in x
0.566 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x
0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.566 * [taylor]: Taking taylor expansion of x in x
0.566 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x
0.566 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x))
0.566 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x
0.566 * [taylor]: Taking taylor expansion of 1/240 in x
0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x
0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.567 * [taylor]: Taking taylor expansion of x in x
0.567 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.567 * [taylor]: Taking taylor expansion of 1/2 in x
0.567 * [taylor]: Taking taylor expansion of x in x
0.567 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ 1 x) 3) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x))) in x
0.567 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ 1 x) 3)) (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)))
0.567 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ 1 x) 3)) in x
0.567 * [taylor]: Taking taylor expansion of 1/24 in x
0.567 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x
0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.567 * [taylor]: Taking taylor expansion of x in x
0.568 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ 1 x) 5) (/ 1/2 x)) in x
0.568 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ 1 x) 5)) (/ 1/2 x))
0.568 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ 1 x) 5)) in x
0.568 * [taylor]: Taking taylor expansion of 1/240 in x
0.568 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x
0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.568 * [taylor]: Taking taylor expansion of x in x
0.568 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.568 * [taylor]: Taking taylor expansion of 1/2 in x
0.568 * [taylor]: Taking taylor expansion of x in x
0.586 * [approximate]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in (x) around 0
0.586 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x
0.586 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)))
0.586 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x
0.586 * [taylor]: Taking taylor expansion of 1/24 in x
0.586 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x
0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.586 * [taylor]: Taking taylor expansion of -1 in x
0.586 * [taylor]: Taking taylor expansion of x in x
0.587 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x
0.587 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x))
0.587 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x
0.587 * [taylor]: Taking taylor expansion of 1/240 in x
0.587 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x
0.587 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.587 * [taylor]: Taking taylor expansion of -1 in x
0.587 * [taylor]: Taking taylor expansion of x in x
0.587 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.587 * [taylor]: Taking taylor expansion of -1/2 in x
0.587 * [taylor]: Taking taylor expansion of x in x
0.587 * [taylor]: Taking taylor expansion of (fma 1/24 (pow (/ -1 x) 3) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x))) in x
0.587 * [taylor]: Rewrote expression to (+ (* 1/24 (pow (/ -1 x) 3)) (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)))
0.587 * [taylor]: Taking taylor expansion of (* 1/24 (pow (/ -1 x) 3)) in x
0.588 * [taylor]: Taking taylor expansion of 1/24 in x
0.588 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x
0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.588 * [taylor]: Taking taylor expansion of -1 in x
0.588 * [taylor]: Taking taylor expansion of x in x
0.588 * [taylor]: Taking taylor expansion of (fma 1/240 (pow (/ -1 x) 5) (/ -1/2 x)) in x
0.588 * [taylor]: Rewrote expression to (+ (* 1/240 (pow (/ -1 x) 5)) (/ -1/2 x))
0.588 * [taylor]: Taking taylor expansion of (* 1/240 (pow (/ -1 x) 5)) in x
0.588 * [taylor]: Taking taylor expansion of 1/240 in x
0.588 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x
0.588 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.588 * [taylor]: Taking taylor expansion of -1 in x
0.588 * [taylor]: Taking taylor expansion of x in x
0.588 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
0.588 * [taylor]: Taking taylor expansion of -1/2 in x
0.588 * [taylor]: Taking taylor expansion of x in x
0.607 * * * [progress]: simplifying candidates
0.607 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* 1/240 (pow x 5))
  (* 1/24 (pow x 3))
  (+ (* 1/2 x) (* 1/240 (pow x 5)))
  (+ (* 1/2 x) (* 1/240 (pow x 5)))
  (+ (* 1/2 x) (* 1/240 (pow x 5)))
  (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))
  (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))))
  (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5))))
0.609 * * [simplify]: iteration  0 :  38  enodes  (cost  28 )
0.611 * * [simplify]: iteration  1 :  77  enodes  (cost  28 )
0.613 * * [simplify]: iteration  2 :  169  enodes  (cost  28 )
0.616 * * [simplify]: iteration  3 :  384  enodes  (cost  28 )
0.627 * * [simplify]: iteration  4 :  1448  enodes  (cost  28 )
0.663 * * [simplify]: iteration  5 :  4794  enodes  (cost  28 )
0.786 * * [simplify]: iteration  6 :  5001  enodes  (cost  28 )
0.793 * [simplify]: Simplified to:
   (* 1/240 (pow x 5))
  (* 1/24 (pow x 3))
  (fma 1/2 x (* 1/240 (pow x 5)))
  (fma 1/2 x (* 1/240 (pow x 5)))
  (fma 1/2 x (* 1/240 (pow x 5)))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
0.793 * * * [progress]: adding candidates to table
0.802 * * [progress]: iteration 3 / 4
0.802 * * * [progress]: picking best candidate
0.817 * * * * [pick]: Picked  #<alt (λ (x) (* (- 1.0 (cos x)) (/ 1 (sin x))))>
0.817 * * * [progress]: localizing error
0.825 * * * [progress]: generating rewritten candidates
0.825 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
0.828 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
0.832 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.835 * * * [progress]: generating series expansions
0.835 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
0.835 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0
0.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.835 * [taylor]: Taking taylor expansion of 1.0 in x
0.835 * [taylor]: Taking taylor expansion of (cos x) in x
0.835 * [taylor]: Taking taylor expansion of x in x
0.835 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.835 * [taylor]: Taking taylor expansion of 1.0 in x
0.835 * [taylor]: Taking taylor expansion of (cos x) in x
0.835 * [taylor]: Taking taylor expansion of x in x
0.845 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0
0.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.846 * [taylor]: Taking taylor expansion of 1.0 in x
0.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.846 * [taylor]: Taking taylor expansion of x in x
0.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.846 * [taylor]: Taking taylor expansion of 1.0 in x
0.846 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.846 * [taylor]: Taking taylor expansion of x in x
0.849 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0
0.849 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.849 * [taylor]: Taking taylor expansion of 1.0 in x
0.849 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.849 * [taylor]: Taking taylor expansion of -1 in x
0.849 * [taylor]: Taking taylor expansion of x in x
0.850 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.850 * [taylor]: Taking taylor expansion of 1.0 in x
0.850 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.850 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.850 * [taylor]: Taking taylor expansion of -1 in x
0.850 * [taylor]: Taking taylor expansion of x in x
0.853 * * * * [progress]: [ 2 / 3 ] generating series at (2)
0.853 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0
0.853 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
0.853 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.853 * [taylor]: Taking taylor expansion of 1.0 in x
0.853 * [taylor]: Taking taylor expansion of (cos x) in x
0.853 * [taylor]: Taking taylor expansion of x in x
0.853 * [taylor]: Taking taylor expansion of (sin x) in x
0.853 * [taylor]: Taking taylor expansion of x in x
0.856 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
0.856 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
0.856 * [taylor]: Taking taylor expansion of 1.0 in x
0.856 * [taylor]: Taking taylor expansion of (cos x) in x
0.856 * [taylor]: Taking taylor expansion of x in x
0.856 * [taylor]: Taking taylor expansion of (sin x) in x
0.856 * [taylor]: Taking taylor expansion of x in x
0.878 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0
0.878 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
0.878 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.878 * [taylor]: Taking taylor expansion of 1.0 in x
0.878 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.878 * [taylor]: Taking taylor expansion of x in x
0.878 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.878 * [taylor]: Taking taylor expansion of x in x
0.879 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
0.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
0.879 * [taylor]: Taking taylor expansion of 1.0 in x
0.879 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.879 * [taylor]: Taking taylor expansion of x in x
0.879 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.879 * [taylor]: Taking taylor expansion of x in x
0.884 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0
0.884 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
0.884 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.884 * [taylor]: Taking taylor expansion of 1.0 in x
0.884 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.885 * [taylor]: Taking taylor expansion of -1 in x
0.885 * [taylor]: Taking taylor expansion of x in x
0.885 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.885 * [taylor]: Taking taylor expansion of -1 in x
0.885 * [taylor]: Taking taylor expansion of x in x
0.885 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
0.885 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
0.885 * [taylor]: Taking taylor expansion of 1.0 in x
0.885 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
0.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.885 * [taylor]: Taking taylor expansion of -1 in x
0.885 * [taylor]: Taking taylor expansion of x in x
0.886 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.886 * [taylor]: Taking taylor expansion of -1 in x
0.886 * [taylor]: Taking taylor expansion of x in x
0.891 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.891 * [approximate]: Taking taylor expansion of (/ 1 (sin x)) in (x) around 0
0.891 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x
0.891 * [taylor]: Taking taylor expansion of (sin x) in x
0.891 * [taylor]: Taking taylor expansion of x in x
0.892 * [taylor]: Taking taylor expansion of (/ 1 (sin x)) in x
0.892 * [taylor]: Taking taylor expansion of (sin x) in x
0.892 * [taylor]: Taking taylor expansion of x in x
0.899 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in (x) around 0
0.899 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x
0.899 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.899 * [taylor]: Taking taylor expansion of x in x
0.900 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 x))) in x
0.900 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.900 * [taylor]: Taking taylor expansion of x in x
0.902 * [approximate]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in (x) around 0
0.902 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x
0.902 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.902 * [taylor]: Taking taylor expansion of -1 in x
0.902 * [taylor]: Taking taylor expansion of x in x
0.902 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 x))) in x
0.902 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.902 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.902 * [taylor]: Taking taylor expansion of -1 in x
0.902 * [taylor]: Taking taylor expansion of x in x
0.904 * * * [progress]: simplifying candidates
0.904 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (pow 1.0 3) (pow (cos x) 3))
  (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (* (- (pow 1.0 3) (pow (cos x) 3)) 1)
  (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (sin x))
  (* (- (pow 1.0 3) (pow (cos x) 3)) (- 1))
  (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (sin x)))
  (* (- (pow 1.0 3) (pow (cos x) 3)) 1)
  (* (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (/ (sin x) 1))
  (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1)
  (* (+ 1.0 (cos x)) (sin x))
  (* (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1))
  (* (+ 1.0 (cos x)) (- (sin x)))
  (* (- (* 1.0 1.0) (* (cos x) (cos x))) 1)
  (* (+ 1.0 (cos x)) (/ (sin x) 1))
  (* (- 1.0 (cos x)) 1)
  (* (- 1.0 (cos x)) 1)
  (* (- 1.0 (cos x)) (- 1))
  (* (- 1.0 (cos x)) 1)
  (* (- (pow 1.0 3) (pow (cos x) 3)) (/ 1 (sin x)))
  (* (- (* 1.0 1.0) (* (cos x) (cos x))) (/ 1 (sin x)))
  (- 1)
  (- (sin x))
  (/ 1 (sin x))
  (/ (sin x) 1)
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
  (+ (* 7/360 (pow x 3)) (+ (/ 1 x) (* 1/6 x)))
  (/ 1 (sin x))
  (/ 1 (sin x))
0.908 * * [simplify]: iteration  0 :  159  enodes  (cost  150 )
0.911 * * [simplify]: iteration  1 :  603  enodes  (cost  146 )
0.924 * * [simplify]: iteration  2 :  3062  enodes  (cost  146 )
0.985 * * [simplify]: iteration  3 :  5002  enodes  (cost  145 )
0.986 * [simplify]: Simplified to:
   (- (pow 1.0 3) (pow (cos x) 3))
  (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (- (pow 1.0 3) (pow (cos x) 3))
  (* (sin x) (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))))
  (- (- (pow 1.0 3) (pow (cos x) 3)))
  (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))
  (- (pow 1.0 3) (pow (cos x) 3))
  (* (sin x) (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (* (sin x) (+ 1.0 (cos x)))
  (fma (- 1.0) 1.0 (* (cos x) (cos x)))
  (* (+ 1.0 (cos x)) (- (sin x)))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (* (sin x) (+ 1.0 (cos x)))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (- (- 1.0 (cos x)))
  (- 1.0 (cos x))
  (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x))
  (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x))
  (- 1)
  (- (sin x))
  (/ 1 (sin x))
  (sin x)
  (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4))))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
  (fma (pow x 3) 7/360 (fma x 1/6 (/ 1 x)))
  (/ 1 (sin x))
  (/ 1 (sin x))
0.986 * * * [progress]: adding candidates to table
1.036 * * [progress]: iteration 4 / 4
1.036 * * * [progress]: picking best candidate
1.051 * * * * [pick]: Picked  #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))>
1.052 * * * [progress]: localizing error
1.060 * * * [progress]: generating rewritten candidates
1.060 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2)
1.062 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
1.066 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
1.070 * * * [progress]: generating series expansions
1.070 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2)
1.070 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0
1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.070 * [taylor]: Taking taylor expansion of 1.0 in x
1.070 * [taylor]: Taking taylor expansion of (cos x) in x
1.070 * [taylor]: Taking taylor expansion of x in x
1.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.070 * [taylor]: Taking taylor expansion of 1.0 in x
1.070 * [taylor]: Taking taylor expansion of (cos x) in x
1.070 * [taylor]: Taking taylor expansion of x in x
1.080 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0
1.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.080 * [taylor]: Taking taylor expansion of 1.0 in x
1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.080 * [taylor]: Taking taylor expansion of x in x
1.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.081 * [taylor]: Taking taylor expansion of 1.0 in x
1.081 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.081 * [taylor]: Taking taylor expansion of x in x
1.084 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0
1.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.084 * [taylor]: Taking taylor expansion of 1.0 in x
1.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.084 * [taylor]: Taking taylor expansion of -1 in x
1.084 * [taylor]: Taking taylor expansion of x in x
1.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.084 * [taylor]: Taking taylor expansion of 1.0 in x
1.084 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.084 * [taylor]: Taking taylor expansion of -1 in x
1.084 * [taylor]: Taking taylor expansion of x in x
1.088 * * * * [progress]: [ 2 / 3 ] generating series at (2)
1.088 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in (x) around 0
1.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
1.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.088 * [taylor]: Taking taylor expansion of 1.0 in x
1.088 * [taylor]: Taking taylor expansion of (cos x) in x
1.088 * [taylor]: Taking taylor expansion of x in x
1.088 * [taylor]: Taking taylor expansion of (sin x) in x
1.088 * [taylor]: Taking taylor expansion of x in x
1.091 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (sin x)) in x
1.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.091 * [taylor]: Taking taylor expansion of 1.0 in x
1.091 * [taylor]: Taking taylor expansion of (cos x) in x
1.091 * [taylor]: Taking taylor expansion of x in x
1.091 * [taylor]: Taking taylor expansion of (sin x) in x
1.091 * [taylor]: Taking taylor expansion of x in x
1.113 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0
1.113 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
1.113 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.113 * [taylor]: Taking taylor expansion of 1.0 in x
1.113 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.113 * [taylor]: Taking taylor expansion of x in x
1.113 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.113 * [taylor]: Taking taylor expansion of x in x
1.114 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ 1 x))) (sin (/ 1 x))) in x
1.114 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.114 * [taylor]: Taking taylor expansion of 1.0 in x
1.114 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.114 * [taylor]: Taking taylor expansion of x in x
1.114 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.114 * [taylor]: Taking taylor expansion of x in x
1.119 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in (x) around 0
1.119 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
1.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.119 * [taylor]: Taking taylor expansion of 1.0 in x
1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.119 * [taylor]: Taking taylor expansion of -1 in x
1.119 * [taylor]: Taking taylor expansion of x in x
1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.120 * [taylor]: Taking taylor expansion of -1 in x
1.120 * [taylor]: Taking taylor expansion of x in x
1.120 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos (/ -1 x))) (sin (/ -1 x))) in x
1.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.120 * [taylor]: Taking taylor expansion of 1.0 in x
1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.120 * [taylor]: Taking taylor expansion of -1 in x
1.120 * [taylor]: Taking taylor expansion of x in x
1.121 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.121 * [taylor]: Taking taylor expansion of -1 in x
1.121 * [taylor]: Taking taylor expansion of x in x
1.126 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
1.126 * [approximate]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in (x) around 0
1.126 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x
1.126 * [taylor]: Taking taylor expansion of (sin x) in x
1.126 * [taylor]: Taking taylor expansion of x in x
1.126 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.126 * [taylor]: Taking taylor expansion of 1.0 in x
1.126 * [taylor]: Taking taylor expansion of (cos x) in x
1.126 * [taylor]: Taking taylor expansion of x in x
1.129 * [taylor]: Taking taylor expansion of (/ (sin x) (- 1.0 (cos x))) in x
1.129 * [taylor]: Taking taylor expansion of (sin x) in x
1.129 * [taylor]: Taking taylor expansion of x in x
1.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x
1.129 * [taylor]: Taking taylor expansion of 1.0 in x
1.129 * [taylor]: Taking taylor expansion of (cos x) in x
1.129 * [taylor]: Taking taylor expansion of x in x
1.146 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in (x) around 0
1.146 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x
1.146 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.146 * [taylor]: Taking taylor expansion of x in x
1.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.147 * [taylor]: Taking taylor expansion of 1.0 in x
1.147 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.147 * [taylor]: Taking taylor expansion of x in x
1.147 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 x)) (- 1.0 (cos (/ 1 x)))) in x
1.147 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.147 * [taylor]: Taking taylor expansion of x in x
1.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x
1.147 * [taylor]: Taking taylor expansion of 1.0 in x
1.147 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x
1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.148 * [taylor]: Taking taylor expansion of x in x
1.153 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in (x) around 0
1.153 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x
1.153 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.153 * [taylor]: Taking taylor expansion of -1 in x
1.153 * [taylor]: Taking taylor expansion of x in x
1.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.153 * [taylor]: Taking taylor expansion of 1.0 in x
1.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.153 * [taylor]: Taking taylor expansion of -1 in x
1.153 * [taylor]: Taking taylor expansion of x in x
1.154 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 x)) (- 1.0 (cos (/ -1 x)))) in x
1.154 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.154 * [taylor]: Taking taylor expansion of -1 in x
1.154 * [taylor]: Taking taylor expansion of x in x
1.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x
1.154 * [taylor]: Taking taylor expansion of 1.0 in x
1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x
1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.154 * [taylor]: Taking taylor expansion of -1 in x
1.154 * [taylor]: Taking taylor expansion of x in x
1.160 * * * [progress]: simplifying candidates
1.160 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (pow 1.0 3) (pow (cos x) 3))
  (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (- 1)
  (- (/ (sin x) (- 1.0 (cos x))))
  (/ 1 (/ (sin x) (- 1.0 (cos x))))
  (/ (/ (sin x) (- 1.0 (cos x))) 1)
  (/ 1 (sin x))
  (/ 1 (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3))))
  (/ 1 (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x)))))
  (/ 1 (sin x))
  (/ 1 (- (sin x)))
  (/ 1 1)
  (- (sin x))
  (- (- 1.0 (cos x)))
  (/ 1 (- 1.0 (cos x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))
  (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))
  (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4)))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
  (- (* 2 (/ 1 x)) (+ (* 1/360 (pow x 3)) (* 1/6 x)))
  (/ (sin x) (- 1.0 (cos x)))
  (/ (sin x) (- 1.0 (cos x)))
1.164 * * [simplify]: iteration  0 :  145  enodes  (cost  122 )
1.167 * * [simplify]: iteration  1 :  470  enodes  (cost  119 )
1.177 * * [simplify]: iteration  2 :  1902  enodes  (cost  117 )
1.221 * * [simplify]: iteration  3 :  5001  enodes  (cost  117 )
1.222 * [simplify]: Simplified to:
   (- (pow 1.0 3) (pow (cos x) 3))
  (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))
  (- (cos x))
  (- (* 1.0 1.0) (* (cos x) (cos x)))
  (+ 1.0 (cos x))
  (- (cos x))
  (- 1)
  (- (/ (sin x) (- 1.0 (cos x))))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (sin x) (- 1.0 (cos x)))
  (/ 1 (sin x))
  (/ (- (pow 1.0 3) (pow (cos x) 3)) (sin x))
  (* (/ (- 1.0 (cos x)) (sin x)) (+ 1.0 (cos x)))
  (/ 1 (sin x))
  (/ 1 (- (sin x)))
  1
  (- (sin x))
  (- (- 1.0 (cos x)))
  (/ 1 (- 1.0 (cos x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (sin x) (- (pow 1.0 3) (pow (cos x) 3)))
  (/ (sin x) (- (* 1.0 1.0) (* (cos x) (cos x))))
  (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4))))
  (- 1.0 (cos x))
  (- 1.0 (cos x))
  (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x)))
  (/ (- 1.0 (cos x)) (sin x))
  (/ (- 1.0 (cos x)) (sin x))
  (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))
  (/ (sin x) (- 1.0 (cos x)))
  (/ (sin x) (- 1.0 (cos x)))
1.222 * * * [progress]: adding candidates to table
1.273 * [progress]: [Phase 3 of 3] Extracting.
1.273 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))> #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))> #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (+ 1.0 (cos x))))> #<alt (λ (x) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))))> #<alt (λ (x) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)))> #<alt (λ (x) (/ (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))))> #<alt (λ (x) (/ 1 (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))))>)
1.274 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (sin x)) x)
1.274 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (sin x)) from (#<alt (λ (x) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))> #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))> #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (+ 1.0 (cos x))))> #<alt (λ (x) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))))> #<alt (λ (x) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)))> #<alt (λ (x) (/ (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))))> #<alt (λ (x) (/ 1 (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))))>)
1.319 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))> #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))> #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (+ 1.0 (cos x))))> #<alt (λ (x) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))))> #<alt (λ (x) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)))> #<alt (λ (x) (/ (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))))> #<alt (λ (x) (/ 1 (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))))>)
1.365 * * * [regime]: Found split indices: #<option (#s(si 4 56) #s(si 1 191) #s(si 5 255))>
1.366 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))> #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))> #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (+ 1.0 (cos x))))> #<alt (λ (x) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))))> #<alt (λ (x) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)))> #<alt (λ (x) (/ (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))))> #<alt (λ (x) (/ 1 (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))))>)
1.425 * [regimes]: Found splitpoints: (#s(sp 4 x -0.020610258751472033) #s(sp 1 x 0.02109815153064932) #s(sp 5 x +nan.0)) , with alts (#<alt (λ (x) (- (/ 1.0 (sin x)) (/ (cos x) (sin x))))> #<alt (λ (x) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))))> #<alt (λ (x) (/ 1 (/ (sin x) (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (* 1.0 1.0) (* (cos x) (cos x))) (sin x)) (+ 1.0 (cos x))))> #<alt (λ (x) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))))> #<alt (λ (x) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x)))))> #<alt (λ (x) (/ (/ (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x)))> #<alt (λ (x) (/ (- (- (pow 1.0 3) (pow (cos x) 3))) (* (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (sin x))))> #<alt (λ (x) (/ 1 (fma 2 (/ 1 x) (- (fma 1/360 (pow x 3) (* 1/6 x))))))>)
1.425 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (if (<= x -0.020610258751472033) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))) (if (<= x 0.02109815153064932) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x))))))
1.426 * * [simplify]: iteration  0 :  31  enodes  (cost  17 )
1.426 * * [simplify]: iteration  1 :  31  enodes  (cost  17 )
1.426 * [simplify]: Simplified to:
   (if (<= x -0.020610258751472033) (/ 1 (/ 1 (/ (- 1.0 (cos x)) (sin x)))) (if (<= x 0.02109815153064932) (fma 1/24 (pow x 3) (fma 1/240 (pow x 5) (* 1/2 x))) (/ (/ 1 (sin x)) (/ 1 (- 1.0 (cos x))))))
5.985 * [regime-testing]: Baseline error score: 31.26529851060348
5.986 * [regime-testing]: Oracle error score: 0.26565696746249745
5.987 * [regime-testing]: End program error score: 0.5098991401768512
6.013 * [regime-testing]: Target error score: 0.00012501562695336918