22.958 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.149 * * * [progress]: [2/2] Setting up program.
0.153 * [progress]: [Phase 2 of 3] Improving.
0.153 * [simplify]: Simplifying:
  (- (sin (+ x eps)) (sin x))
0.153 * * [simplify]: iteration 0: 6 enodes
0.154 * * [simplify]: iteration 1: 9 enodes
0.155 * * [simplify]: iteration 2: 10 enodes
0.156 * * [simplify]: iteration complete: 10 enodes
0.156 * * [simplify]: Extracting #0: cost 1 inf + 0
0.156 * * [simplify]: Extracting #1: cost 4 inf + 0
0.156 * * [simplify]: Extracting #2: cost 6 inf + 0
0.156 * * [simplify]: Extracting #3: cost 6 inf + 1
0.156 * * [simplify]: Extracting #4: cost 0 inf + 510
0.156 * [simplify]: Simplified to:
  (- (sin (+ eps x)) (sin x))
0.157 * * [progress]: iteration 1 / 4
0.157 * * * [progress]: picking best candidate
0.164 * * * * [pick]: Picked  #<alt (λ (x eps) (- (sin (+ x eps)) (sin x)))>
0.164 * * * [progress]: localizing error
0.186 * * * [progress]: generating rewritten candidates
0.187 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.278 * * * [progress]: generating series expansions
0.278 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.279 * [backup-simplify]: Simplify (sin (+ x eps)) into (sin (+ x eps))
0.279 * [approximate]: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0
0.279 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps
0.279 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.279 * [taylor]: Taking taylor expansion of x in eps
0.279 * [backup-simplify]: Simplify x into x
0.279 * [taylor]: Taking taylor expansion of eps in eps
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (+ x 0) into x
0.279 * [backup-simplify]: Simplify (sin x) into (sin x)
0.279 * [backup-simplify]: Simplify (cos x) into (cos x)
0.279 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.279 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of eps in x
0.279 * [backup-simplify]: Simplify eps into eps
0.279 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.279 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.279 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.279 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.279 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of eps in x
0.279 * [backup-simplify]: Simplify eps into eps
0.279 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.279 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.279 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.280 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.280 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.280 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.280 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.280 * [taylor]: Taking taylor expansion of eps in eps
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ 0) into 0
0.281 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.282 * [backup-simplify]: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps)
0.282 * [backup-simplify]: Simplify (+ 0 (cos eps)) into (cos eps)
0.282 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.283 * [taylor]: Taking taylor expansion of eps in eps
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.285 * [backup-simplify]: Simplify (+ (* (sin eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps)))
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.286 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.286 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.286 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps
0.286 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps
0.287 * [taylor]: Taking taylor expansion of 1/2 in eps
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.287 * [taylor]: Taking taylor expansion of eps in eps
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ 0) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.289 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.291 * [backup-simplify]: Simplify (+ (* (cos eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps)))
0.291 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps)))
0.291 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps
0.291 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps
0.291 * [taylor]: Taking taylor expansion of 1/6 in eps
0.291 * [backup-simplify]: Simplify 1/6 into 1/6
0.291 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.291 * [taylor]: Taking taylor expansion of eps in eps
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
0.291 * [backup-simplify]: Simplify (- 1/6) into -1/6
0.291 * [backup-simplify]: Simplify -1/6 into -1/6
0.292 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* 1 x) 3)) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (- (+ x eps) (* 1/6 (pow x 3)))
0.292 * [backup-simplify]: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.292 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0
0.292 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.292 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.292 * [taylor]: Taking taylor expansion of eps in eps
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.292 * [taylor]: Taking taylor expansion of x in eps
0.292 * [backup-simplify]: Simplify x into x
0.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.293 * [backup-simplify]: Simplify (+ 1 0) into 1
0.293 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.293 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.293 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.293 * [taylor]: Taking taylor expansion of eps in x
0.293 * [backup-simplify]: Simplify eps into eps
0.293 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [backup-simplify]: Simplify (+ 0 1) into 1
0.293 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.293 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.294 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.294 * [taylor]: Taking taylor expansion of eps in x
0.294 * [backup-simplify]: Simplify eps into eps
0.294 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.294 * [taylor]: Taking taylor expansion of x in x
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (/ 1 1) into 1
0.294 * [backup-simplify]: Simplify (+ 0 1) into 1
0.294 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.294 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.294 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.294 * [taylor]: Taking taylor expansion of eps in eps
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.295 * [taylor]: Taking taylor expansion of x in eps
0.295 * [backup-simplify]: Simplify x into x
0.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.295 * [backup-simplify]: Simplify (+ 1 0) into 1
0.295 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.296 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.296 * [taylor]: Taking taylor expansion of 0 in eps
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [taylor]: Taking taylor expansion of 0 in eps
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [taylor]: Taking taylor expansion of 0 in eps
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) into (sin (+ x eps))
0.296 * [backup-simplify]: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.296 * [approximate]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0
0.296 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.296 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.296 * [taylor]: Taking taylor expansion of eps in eps
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.297 * [taylor]: Taking taylor expansion of x in eps
0.297 * [backup-simplify]: Simplify x into x
0.297 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.297 * [backup-simplify]: Simplify (+ 1 0) into 1
0.298 * [backup-simplify]: Simplify (- 1) into -1
0.298 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.298 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.298 * [taylor]: Taking taylor expansion of eps in x
0.298 * [backup-simplify]: Simplify eps into eps
0.298 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ 0 1) into 1
0.299 * [backup-simplify]: Simplify (- 1) into -1
0.300 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.300 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.300 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.300 * [taylor]: Taking taylor expansion of eps in x
0.300 * [backup-simplify]: Simplify eps into eps
0.300 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (+ 0 1) into 1
0.301 * [backup-simplify]: Simplify (- 1) into -1
0.301 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.302 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.302 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.302 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.302 * [taylor]: Taking taylor expansion of eps in eps
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.302 * [taylor]: Taking taylor expansion of x in eps
0.302 * [backup-simplify]: Simplify x into x
0.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.303 * [backup-simplify]: Simplify (+ 1 0) into 1
0.303 * [backup-simplify]: Simplify (- 1) into -1
0.303 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.303 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.303 * [taylor]: Taking taylor expansion of 0 in eps
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in eps
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [taylor]: Taking taylor expansion of 0 in eps
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) into (sin (+ x eps))
0.304 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.304 * [backup-simplify]: Simplify (- (sin (+ x eps)) (sin x)) into (- (sin (+ x eps)) (sin x))
0.304 * [approximate]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0
0.304 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps
0.304 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps
0.304 * [taylor]: Taking taylor expansion of (+ x eps) in eps
0.304 * [taylor]: Taking taylor expansion of x in eps
0.304 * [backup-simplify]: Simplify x into x
0.304 * [taylor]: Taking taylor expansion of eps in eps
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (+ x 0) into x
0.304 * [backup-simplify]: Simplify (sin x) into (sin x)
0.305 * [backup-simplify]: Simplify (cos x) into (cos x)
0.305 * [taylor]: Taking taylor expansion of (sin x) in eps
0.305 * [taylor]: Taking taylor expansion of x in eps
0.305 * [backup-simplify]: Simplify x into x
0.305 * [backup-simplify]: Simplify (sin x) into (sin x)
0.305 * [backup-simplify]: Simplify (cos x) into (cos x)
0.305 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x
0.305 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.305 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of eps in x
0.305 * [backup-simplify]: Simplify eps into eps
0.305 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.305 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.305 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.305 * [taylor]: Taking taylor expansion of (sin x) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x
0.305 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x
0.305 * [taylor]: Taking taylor expansion of (+ x eps) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of eps in x
0.305 * [backup-simplify]: Simplify eps into eps
0.305 * [backup-simplify]: Simplify (+ 0 eps) into eps
0.305 * [backup-simplify]: Simplify (sin eps) into (sin eps)
0.306 * [backup-simplify]: Simplify (cos eps) into (cos eps)
0.306 * [taylor]: Taking taylor expansion of (sin x) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* (sin eps) 1) into (sin eps)
0.306 * [backup-simplify]: Simplify (* (cos eps) 0) into 0
0.306 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.306 * [backup-simplify]: Simplify (- 0) into 0
0.306 * [backup-simplify]: Simplify (+ (sin eps) 0) into (sin eps)
0.306 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.307 * [taylor]: Taking taylor expansion of eps in eps
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (+ 0) into 0
0.307 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.309 * [backup-simplify]: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps)
0.309 * [backup-simplify]: Simplify (+ 0 (cos eps)) into (cos eps)
0.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.310 * [backup-simplify]: Simplify (- 1) into -1
0.310 * [backup-simplify]: Simplify (+ (cos eps) -1) into (- (cos eps) 1)
0.310 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps
0.310 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.310 * [taylor]: Taking taylor expansion of eps in eps
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [taylor]: Taking taylor expansion of 1 in eps
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (- 1) into -1
0.311 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.313 * [backup-simplify]: Simplify (+ (* (sin eps) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps)))
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.315 * [backup-simplify]: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0
0.315 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.316 * [backup-simplify]: Simplify (- 0) into 0
0.317 * [backup-simplify]: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps)))
0.317 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps
0.317 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps
0.317 * [taylor]: Taking taylor expansion of 1/2 in eps
0.317 * [backup-simplify]: Simplify 1/2 into 1/2
0.317 * [taylor]: Taking taylor expansion of (sin eps) in eps
0.317 * [taylor]: Taking taylor expansion of eps in eps
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1/2 0) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ 0) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.322 * [backup-simplify]: Simplify (+ (* (sin eps) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.325 * [backup-simplify]: Simplify (+ (* (cos eps) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps)))
0.325 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps)))
0.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
0.327 * [backup-simplify]: Simplify (- -1/6) into 1/6
0.328 * [backup-simplify]: Simplify (+ (- (* 1/6 (cos eps))) 1/6) into (- 1/6 (* 1/6 (cos eps)))
0.328 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps
0.328 * [taylor]: Taking taylor expansion of 1/6 in eps
0.328 * [backup-simplify]: Simplify 1/6 into 1/6
0.328 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps
0.328 * [taylor]: Taking taylor expansion of 1/6 in eps
0.328 * [backup-simplify]: Simplify 1/6 into 1/6
0.328 * [taylor]: Taking taylor expansion of (cos eps) in eps
0.328 * [taylor]: Taking taylor expansion of eps in eps
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
0.329 * [backup-simplify]: Simplify (- 1/6) into -1/6
0.329 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.331 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
0.331 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.331 * [backup-simplify]: Simplify -1/2 into -1/2
0.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.332 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2
0.333 * [backup-simplify]: Simplify -1/2 into -1/2
0.333 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow eps 2) x)) (+ (* -1/2 (* eps (pow x 2))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps))))
0.334 * [backup-simplify]: Simplify (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.334 * [approximate]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0
0.334 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps
0.334 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.334 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.334 * [taylor]: Taking taylor expansion of eps in eps
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.335 * [taylor]: Taking taylor expansion of x in eps
0.335 * [backup-simplify]: Simplify x into x
0.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.335 * [backup-simplify]: Simplify (+ 1 0) into 1
0.335 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.335 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps
0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.335 * [taylor]: Taking taylor expansion of x in eps
0.335 * [backup-simplify]: Simplify x into x
0.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.335 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.336 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.336 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x
0.336 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.336 * [taylor]: Taking taylor expansion of eps in x
0.336 * [backup-simplify]: Simplify eps into eps
0.336 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [backup-simplify]: Simplify (+ 0 1) into 1
0.337 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.337 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.337 * [taylor]: Taking taylor expansion of x in x
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.338 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x
0.338 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x
0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.338 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.338 * [taylor]: Taking taylor expansion of eps in x
0.338 * [backup-simplify]: Simplify eps into eps
0.338 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.338 * [taylor]: Taking taylor expansion of x in x
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.339 * [backup-simplify]: Simplify (+ 0 1) into 1
0.339 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.339 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x
0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.340 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.340 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.340 * [backup-simplify]: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.340 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps
0.340 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps
0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.340 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.340 * [taylor]: Taking taylor expansion of eps in eps
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.341 * [taylor]: Taking taylor expansion of x in eps
0.341 * [backup-simplify]: Simplify x into x
0.341 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.341 * [backup-simplify]: Simplify (+ 1 0) into 1
0.341 * [backup-simplify]: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x)))
0.341 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps
0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.341 * [taylor]: Taking taylor expansion of x in eps
0.341 * [backup-simplify]: Simplify x into x
0.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.342 * [backup-simplify]: Simplify (sin (/ 1 x)) into (sin (/ 1 x))
0.342 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x))
0.342 * [backup-simplify]: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x))
0.342 * [backup-simplify]: Simplify (* (cos (/ 1 x)) 0) into 0
0.342 * [backup-simplify]: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x))
0.342 * [backup-simplify]: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x)))
0.342 * [backup-simplify]: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.343 * [backup-simplify]: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x)))
0.343 * [backup-simplify]: Simplify (- 0) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in eps
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ 0) into 0
0.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (- 0) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in eps
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [backup-simplify]: Simplify (- 0) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (- 0) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [taylor]: Taking taylor expansion of 0 in eps
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (- (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (sin (+ x eps)) (sin x))
0.354 * [backup-simplify]: Simplify (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.354 * [approximate]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in (x eps) around 0
0.354 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps
0.354 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.354 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.354 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.354 * [taylor]: Taking taylor expansion of eps in eps
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.355 * [taylor]: Taking taylor expansion of x in eps
0.355 * [backup-simplify]: Simplify x into x
0.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.355 * [backup-simplify]: Simplify (+ 1 0) into 1
0.356 * [backup-simplify]: Simplify (- 1) into -1
0.356 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.356 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps
0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in eps
0.356 * [taylor]: Taking taylor expansion of -1 in eps
0.356 * [backup-simplify]: Simplify -1 into -1
0.356 * [taylor]: Taking taylor expansion of x in eps
0.356 * [backup-simplify]: Simplify x into x
0.356 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.356 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.356 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.356 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x
0.356 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.356 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.356 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.356 * [taylor]: Taking taylor expansion of eps in x
0.356 * [backup-simplify]: Simplify eps into eps
0.357 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.357 * [taylor]: Taking taylor expansion of x in x
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [backup-simplify]: Simplify (+ 0 1) into 1
0.358 * [backup-simplify]: Simplify (- 1) into -1
0.358 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.358 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.358 * [taylor]: Taking taylor expansion of -1 in x
0.358 * [backup-simplify]: Simplify -1 into -1
0.358 * [taylor]: Taking taylor expansion of x in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ -1 1) into -1
0.359 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.359 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x
0.359 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x
0.359 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x
0.359 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
0.359 * [taylor]: Taking taylor expansion of eps in x
0.359 * [backup-simplify]: Simplify eps into eps
0.359 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.359 * [taylor]: Taking taylor expansion of x in x
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.360 * [backup-simplify]: Simplify (+ 0 1) into 1
0.360 * [backup-simplify]: Simplify (- 1) into -1
0.361 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x
0.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.361 * [taylor]: Taking taylor expansion of -1 in x
0.361 * [backup-simplify]: Simplify -1 into -1
0.361 * [taylor]: Taking taylor expansion of x in x
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (/ -1 1) into -1
0.368 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.368 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.369 * [backup-simplify]: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.369 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps
0.369 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps
0.369 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps
0.369 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
0.369 * [taylor]: Taking taylor expansion of eps in eps
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
0.370 * [taylor]: Taking taylor expansion of x in eps
0.370 * [backup-simplify]: Simplify x into x
0.370 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.370 * [backup-simplify]: Simplify (+ 1 0) into 1
0.371 * [backup-simplify]: Simplify (- 1) into -1
0.371 * [backup-simplify]: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x))))
0.371 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps
0.371 * [taylor]: Taking taylor expansion of (/ -1 x) in eps
0.371 * [taylor]: Taking taylor expansion of -1 in eps
0.371 * [backup-simplify]: Simplify -1 into -1
0.371 * [taylor]: Taking taylor expansion of x in eps
0.371 * [backup-simplify]: Simplify x into x
0.371 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.371 * [backup-simplify]: Simplify (sin (/ -1 x)) into (sin (/ -1 x))
0.371 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x))
0.371 * [backup-simplify]: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x))
0.372 * [backup-simplify]: Simplify (* (cos (/ -1 x)) 0) into 0
0.372 * [backup-simplify]: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x))
0.372 * [backup-simplify]: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x)))
0.372 * [backup-simplify]: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.372 * [backup-simplify]: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x)))
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in eps
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (+ 0) into 0
0.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [backup-simplify]: Simplify (- 0) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (- 0) into 0
0.378 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [taylor]: Taking taylor expansion of 0 in eps
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
0.380 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (- 0) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (- 0) into 0
0.384 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in eps
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (- (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (- (sin (+ x eps)) (sin x))
0.385 * * * [progress]: simplifying candidates
0.386 * [simplify]: Simplifying:
  (* (sin x) (cos eps))
  (* (cos x) (sin eps))
  (log (sin (+ x eps)))
  (exp (sin (+ x eps)))
  (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps))))
  (cbrt (sin (+ x eps)))
  (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))
  (/ (exp (sin (+ x eps))) (exp (sin x)))
  (log (- (sin (+ x eps)) (sin x)))
  (exp (- (sin (+ x eps)) (sin x)))
  (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x))))
  (cbrt (- (sin (+ x eps)) (sin x)))
  (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (- (pow (sin (+ x eps)) 3) (pow (sin x) 3))
  (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x))))
  (- (sin x))
  (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x)))
  (+ (sin (+ x eps)) (sin x))
  (+ (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sin (+ x eps)) (sin x))
  (- (* (cos x) (sin eps)) (sin x))
  (- (sin x))
  (- (+ x eps) (* 1/6 (pow x 3)))
  (sin (+ x eps))
  (sin (+ x eps))
  (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps))))
  (- (sin (+ x eps)) (sin x))
  (- (sin (+ x eps)) (sin x))
0.388 * * [simplify]: iteration 0: 63 enodes
0.411 * * [simplify]: iteration 1: 135 enodes
0.461 * * [simplify]: iteration 2: 305 enodes
0.545 * * [simplify]: iteration 3: 755 enodes
1.008 * * [simplify]: iteration 4: 1781 enodes
2.127 * * [simplify]: iteration 5: 4797 enodes
3.491 * * [simplify]: iteration complete: 5000 enodes
3.491 * * [simplify]: Extracting #0: cost 27 inf + 0
3.492 * * [simplify]: Extracting #1: cost 144 inf + 0
3.495 * * [simplify]: Extracting #2: cost 544 inf + 1142
3.511 * * [simplify]: Extracting #3: cost 656 inf + 34157
3.545 * * [simplify]: Extracting #4: cost 269 inf + 114570
3.601 * * [simplify]: Extracting #5: cost 50 inf + 232837
3.668 * * [simplify]: Extracting #6: cost 9 inf + 257324
3.723 * * [simplify]: Extracting #7: cost 0 inf + 262736
3.770 * [simplify]: Simplified to:
  (* (cos eps) (sin x))
  (* (cos x) (sin eps))
  (log (sin (+ x eps)))
  (exp (sin (+ x eps)))
  (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps))))
  (cbrt (sin (+ x eps)))
  (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (sqrt (sin (+ x eps)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))
  (exp (- (sin (+ x eps)) (sin x)))
  (log (- (sin (+ x eps)) (sin x)))
  (exp (- (sin (+ x eps)) (sin x)))
  (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x))))
  (cbrt (- (sin (+ x eps)) (sin x)))
  (* (- (sin (+ x eps)) (sin x)) (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (sqrt (- (sin (+ x eps)) (sin x)))
  (- (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) (* (sin x) (* (sin x) (sin x))))
  (+ (* (sin (+ x eps)) (+ (sin (+ x eps)) (sin x))) (* (sin x) (sin x)))
  (- (sin x))
  (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x)))
  (+ (sin (+ x eps)) (sin x))
  (+ (sqrt (sin x)) (sqrt (sin (+ x eps))))
  (- (sqrt (sin (+ x eps))) (sqrt (sin x)))
  (- (sin (+ x eps)) (sin x))
  (- (* (cos x) (sin eps)) (sin x))
  (- (sin x))
  (+ eps (- x (* x (* x (* x 1/6)))))
  (sin (+ x eps))
  (sin (+ x eps))
  (- eps (* (* x (+ eps x)) (* eps 1/2)))
  (- (sin (+ x eps)) (sin x))
  (- (sin (+ x eps)) (sin x))
3.772 * * * [progress]: adding candidates to table
3.930 * * [progress]: iteration 2 / 4
3.930 * * * [progress]: picking best candidate
3.947 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))))>
3.948 * * * [progress]: localizing error
3.970 * * * [progress]: generating rewritten candidates
3.970 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1)
4.003 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
4.016 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
4.030 * * * [progress]: generating series expansions
4.030 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1)
4.030 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
4.030 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
4.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
4.030 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
4.030 * [taylor]: Taking taylor expansion of 1/2 in eps
4.030 * [backup-simplify]: Simplify 1/2 into 1/2
4.030 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
4.030 * [taylor]: Taking taylor expansion of (* 2 x) in eps
4.030 * [taylor]: Taking taylor expansion of 2 in eps
4.030 * [backup-simplify]: Simplify 2 into 2
4.030 * [taylor]: Taking taylor expansion of x in eps
4.030 * [backup-simplify]: Simplify x into x
4.030 * [taylor]: Taking taylor expansion of eps in eps
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
4.030 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
4.031 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
4.031 * [backup-simplify]: Simplify (cos x) into (cos x)
4.031 * [backup-simplify]: Simplify (sin x) into (sin x)
4.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.031 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.031 * [taylor]: Taking taylor expansion of 1/2 in x
4.031 * [backup-simplify]: Simplify 1/2 into 1/2
4.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.031 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.031 * [taylor]: Taking taylor expansion of 2 in x
4.031 * [backup-simplify]: Simplify 2 into 2
4.031 * [taylor]: Taking taylor expansion of x in x
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.031 * [taylor]: Taking taylor expansion of eps in x
4.031 * [backup-simplify]: Simplify eps into eps
4.031 * [backup-simplify]: Simplify (* 2 0) into 0
4.031 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.031 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.031 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.032 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.032 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.032 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.032 * [taylor]: Taking taylor expansion of 1/2 in x
4.032 * [backup-simplify]: Simplify 1/2 into 1/2
4.032 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.032 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.032 * [taylor]: Taking taylor expansion of 2 in x
4.032 * [backup-simplify]: Simplify 2 into 2
4.032 * [taylor]: Taking taylor expansion of x in x
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [taylor]: Taking taylor expansion of eps in x
4.032 * [backup-simplify]: Simplify eps into eps
4.032 * [backup-simplify]: Simplify (* 2 0) into 0
4.032 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.032 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.032 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.032 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.033 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
4.033 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
4.033 * [backup-simplify]: Simplify (- 0) into 0
4.033 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
4.033 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.033 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.033 * [taylor]: Taking taylor expansion of 1/2 in eps
4.033 * [backup-simplify]: Simplify 1/2 into 1/2
4.033 * [taylor]: Taking taylor expansion of eps in eps
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.034 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.034 * [backup-simplify]: Simplify 1 into 1
4.034 * [backup-simplify]: Simplify (+ 0) into 0
4.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
4.035 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.035 * [backup-simplify]: Simplify (+ 2 0) into 2
4.036 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
4.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.036 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
4.036 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
4.036 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
4.036 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
4.036 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.036 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.036 * [taylor]: Taking taylor expansion of 1/2 in eps
4.036 * [backup-simplify]: Simplify 1/2 into 1/2
4.036 * [taylor]: Taking taylor expansion of eps in eps
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 1 into 1
4.037 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.037 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.037 * [backup-simplify]: Simplify (- 0) into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (+ 0) into 0
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.039 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
4.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.040 * [backup-simplify]: Simplify (+ 0 0) into 0
4.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
4.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.041 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
4.041 * [backup-simplify]: Simplify (- 0) into 0
4.041 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
4.041 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
4.041 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
4.041 * [taylor]: Taking taylor expansion of 1/2 in eps
4.041 * [backup-simplify]: Simplify 1/2 into 1/2
4.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.041 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.041 * [taylor]: Taking taylor expansion of 1/2 in eps
4.041 * [backup-simplify]: Simplify 1/2 into 1/2
4.041 * [taylor]: Taking taylor expansion of eps in eps
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.042 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.043 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.043 * [backup-simplify]: Simplify -1/2 into -1/2
4.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.043 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.043 * [backup-simplify]: Simplify -1/2 into -1/2
4.044 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
4.044 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.044 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
4.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.044 * [taylor]: Taking taylor expansion of 1/2 in eps
4.044 * [backup-simplify]: Simplify 1/2 into 1/2
4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.044 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.044 * [taylor]: Taking taylor expansion of eps in eps
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 1 into 1
4.044 * [backup-simplify]: Simplify (/ 1 1) into 1
4.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.044 * [taylor]: Taking taylor expansion of 2 in eps
4.044 * [backup-simplify]: Simplify 2 into 2
4.044 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.044 * [taylor]: Taking taylor expansion of x in eps
4.044 * [backup-simplify]: Simplify x into x
4.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.045 * [backup-simplify]: Simplify (+ 1 0) into 1
4.045 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.045 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.045 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.045 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.045 * [taylor]: Taking taylor expansion of 1/2 in x
4.045 * [backup-simplify]: Simplify 1/2 into 1/2
4.045 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.045 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.045 * [taylor]: Taking taylor expansion of eps in x
4.045 * [backup-simplify]: Simplify eps into eps
4.045 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.045 * [taylor]: Taking taylor expansion of 2 in x
4.045 * [backup-simplify]: Simplify 2 into 2
4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.045 * [taylor]: Taking taylor expansion of x in x
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.046 * [backup-simplify]: Simplify (/ 1 1) into 1
4.046 * [backup-simplify]: Simplify (* 2 1) into 2
4.046 * [backup-simplify]: Simplify (+ 0 2) into 2
4.046 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.046 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.047 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.047 * [taylor]: Taking taylor expansion of 1/2 in x
4.047 * [backup-simplify]: Simplify 1/2 into 1/2
4.047 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.047 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.047 * [taylor]: Taking taylor expansion of eps in x
4.047 * [backup-simplify]: Simplify eps into eps
4.047 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.047 * [taylor]: Taking taylor expansion of 2 in x
4.047 * [backup-simplify]: Simplify 2 into 2
4.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.047 * [taylor]: Taking taylor expansion of x in x
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [backup-simplify]: Simplify (/ 1 1) into 1
4.047 * [backup-simplify]: Simplify (* 2 1) into 2
4.047 * [backup-simplify]: Simplify (+ 0 2) into 2
4.048 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.048 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.048 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.048 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.048 * [taylor]: Taking taylor expansion of 1/2 in eps
4.048 * [backup-simplify]: Simplify 1/2 into 1/2
4.048 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.048 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.048 * [taylor]: Taking taylor expansion of eps in eps
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 1 into 1
4.048 * [backup-simplify]: Simplify (/ 1 1) into 1
4.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.048 * [taylor]: Taking taylor expansion of 2 in eps
4.048 * [backup-simplify]: Simplify 2 into 2
4.048 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.048 * [taylor]: Taking taylor expansion of x in eps
4.048 * [backup-simplify]: Simplify x into x
4.048 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.049 * [backup-simplify]: Simplify (+ 1 0) into 1
4.049 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.049 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.049 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.049 * [taylor]: Taking taylor expansion of 0 in eps
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [taylor]: Taking taylor expansion of 0 in eps
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [taylor]: Taking taylor expansion of 0 in eps
4.049 * [backup-simplify]: Simplify 0 into 0
4.049 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.050 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.050 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
4.050 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.050 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.050 * [taylor]: Taking taylor expansion of -1/2 in eps
4.050 * [backup-simplify]: Simplify -1/2 into -1/2
4.050 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.050 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.050 * [taylor]: Taking taylor expansion of eps in eps
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.050 * [backup-simplify]: Simplify (/ 1 1) into 1
4.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.050 * [taylor]: Taking taylor expansion of 2 in eps
4.050 * [backup-simplify]: Simplify 2 into 2
4.050 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.050 * [taylor]: Taking taylor expansion of x in eps
4.050 * [backup-simplify]: Simplify x into x
4.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.051 * [backup-simplify]: Simplify (+ 1 0) into 1
4.051 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.051 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.051 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.051 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.051 * [taylor]: Taking taylor expansion of -1/2 in x
4.051 * [backup-simplify]: Simplify -1/2 into -1/2
4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.051 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.051 * [taylor]: Taking taylor expansion of eps in x
4.051 * [backup-simplify]: Simplify eps into eps
4.051 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.051 * [taylor]: Taking taylor expansion of 2 in x
4.051 * [backup-simplify]: Simplify 2 into 2
4.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.051 * [taylor]: Taking taylor expansion of x in x
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.052 * [backup-simplify]: Simplify (* 2 1) into 2
4.052 * [backup-simplify]: Simplify (+ 0 2) into 2
4.052 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.052 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.052 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.052 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.052 * [taylor]: Taking taylor expansion of -1/2 in x
4.052 * [backup-simplify]: Simplify -1/2 into -1/2
4.052 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.052 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.053 * [taylor]: Taking taylor expansion of eps in x
4.053 * [backup-simplify]: Simplify eps into eps
4.053 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.053 * [taylor]: Taking taylor expansion of 2 in x
4.053 * [backup-simplify]: Simplify 2 into 2
4.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.053 * [taylor]: Taking taylor expansion of x in x
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [backup-simplify]: Simplify (/ 1 1) into 1
4.053 * [backup-simplify]: Simplify (* 2 1) into 2
4.053 * [backup-simplify]: Simplify (+ 0 2) into 2
4.054 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.054 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.054 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.054 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.054 * [taylor]: Taking taylor expansion of -1/2 in eps
4.054 * [backup-simplify]: Simplify -1/2 into -1/2
4.054 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.054 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.054 * [taylor]: Taking taylor expansion of eps in eps
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (/ 1 1) into 1
4.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.054 * [taylor]: Taking taylor expansion of 2 in eps
4.054 * [backup-simplify]: Simplify 2 into 2
4.054 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.054 * [taylor]: Taking taylor expansion of x in eps
4.054 * [backup-simplify]: Simplify x into x
4.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.055 * [backup-simplify]: Simplify (+ 1 0) into 1
4.055 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.055 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.055 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.055 * [taylor]: Taking taylor expansion of 0 in eps
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [taylor]: Taking taylor expansion of 0 in eps
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [taylor]: Taking taylor expansion of 0 in eps
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
4.056 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
4.056 * [backup-simplify]: Simplify (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
4.056 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in (x eps) around 0
4.056 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in eps
4.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
4.056 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
4.056 * [taylor]: Taking taylor expansion of 1/2 in eps
4.056 * [backup-simplify]: Simplify 1/2 into 1/2
4.056 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
4.056 * [taylor]: Taking taylor expansion of (* 2 x) in eps
4.056 * [taylor]: Taking taylor expansion of 2 in eps
4.056 * [backup-simplify]: Simplify 2 into 2
4.056 * [taylor]: Taking taylor expansion of x in eps
4.056 * [backup-simplify]: Simplify x into x
4.056 * [taylor]: Taking taylor expansion of eps in eps
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
4.056 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
4.056 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
4.056 * [backup-simplify]: Simplify (cos x) into (cos x)
4.056 * [backup-simplify]: Simplify (sin x) into (sin x)
4.056 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.056 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.056 * [taylor]: Taking taylor expansion of 1/2 in eps
4.056 * [backup-simplify]: Simplify 1/2 into 1/2
4.056 * [taylor]: Taking taylor expansion of eps in eps
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.057 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.057 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x
4.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.057 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.057 * [taylor]: Taking taylor expansion of 1/2 in x
4.057 * [backup-simplify]: Simplify 1/2 into 1/2
4.057 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.057 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.057 * [taylor]: Taking taylor expansion of 2 in x
4.057 * [backup-simplify]: Simplify 2 into 2
4.057 * [taylor]: Taking taylor expansion of x in x
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 1 into 1
4.057 * [taylor]: Taking taylor expansion of eps in x
4.057 * [backup-simplify]: Simplify eps into eps
4.057 * [backup-simplify]: Simplify (* 2 0) into 0
4.058 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.058 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.058 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.058 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.058 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x
4.058 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
4.058 * [taylor]: Taking taylor expansion of 1/2 in x
4.058 * [backup-simplify]: Simplify 1/2 into 1/2
4.058 * [taylor]: Taking taylor expansion of eps in x
4.058 * [backup-simplify]: Simplify eps into eps
4.058 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.058 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.058 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.058 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) in x
4.058 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
4.058 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
4.058 * [taylor]: Taking taylor expansion of 1/2 in x
4.058 * [backup-simplify]: Simplify 1/2 into 1/2
4.058 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.058 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.058 * [taylor]: Taking taylor expansion of 2 in x
4.058 * [backup-simplify]: Simplify 2 into 2
4.058 * [taylor]: Taking taylor expansion of x in x
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [taylor]: Taking taylor expansion of eps in x
4.058 * [backup-simplify]: Simplify eps into eps
4.058 * [backup-simplify]: Simplify (* 2 0) into 0
4.058 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.058 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.058 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.059 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x
4.059 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
4.059 * [taylor]: Taking taylor expansion of 1/2 in x
4.059 * [backup-simplify]: Simplify 1/2 into 1/2
4.059 * [taylor]: Taking taylor expansion of eps in x
4.059 * [backup-simplify]: Simplify eps into eps
4.059 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
4.059 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
4.059 * [backup-simplify]: Simplify (- 0) into 0
4.059 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps))
4.059 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 0) into 0
4.059 * [backup-simplify]: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps))
4.060 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) into (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))
4.060 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 eps)) (cos (* 1/2 eps))) in eps
4.060 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.060 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.060 * [taylor]: Taking taylor expansion of 1/2 in eps
4.060 * [backup-simplify]: Simplify 1/2 into 1/2
4.060 * [taylor]: Taking taylor expansion of eps in eps
4.060 * [backup-simplify]: Simplify 0 into 0
4.060 * [backup-simplify]: Simplify 1 into 1
4.060 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.060 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.060 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.060 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.060 * [taylor]: Taking taylor expansion of 1/2 in eps
4.060 * [backup-simplify]: Simplify 1/2 into 1/2
4.060 * [taylor]: Taking taylor expansion of eps in eps
4.060 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.061 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.061 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.062 * [backup-simplify]: Simplify (* 0 1) into 0
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify (+ 0) into 0
4.062 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0
4.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 eps)) into 0
4.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.064 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0
4.064 * [backup-simplify]: Simplify (+ 0 0) into 0
4.064 * [backup-simplify]: Simplify (+ 0) into 0
4.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
4.065 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.065 * [backup-simplify]: Simplify (+ 2 0) into 2
4.066 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
4.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.067 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
4.067 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
4.067 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
4.067 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* (- (sin (* 1/2 eps))) (sin (* 1/2 eps)))) into (- (pow (sin (* 1/2 eps)) 2))
4.067 * [taylor]: Taking taylor expansion of (- (pow (sin (* 1/2 eps)) 2)) in eps
4.067 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps
4.067 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.067 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.067 * [taylor]: Taking taylor expansion of 1/2 in eps
4.067 * [backup-simplify]: Simplify 1/2 into 1/2
4.067 * [taylor]: Taking taylor expansion of eps in eps
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.068 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.069 * [backup-simplify]: Simplify (+ 0) into 0
4.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2
4.070 * [backup-simplify]: Simplify 1/2 into 1/2
4.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.071 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
4.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0
4.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.072 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
4.074 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
4.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
4.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.076 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
4.076 * [backup-simplify]: Simplify (- 0) into 0
4.076 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
4.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* (- (sin (* 1/2 eps))) 0) (* (- (* 1/2 (cos (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))))
4.077 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps))))) in eps
4.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 eps)) (cos (* 1/2 eps)))) in eps
4.077 * [taylor]: Taking taylor expansion of 1/2 in eps
4.077 * [backup-simplify]: Simplify 1/2 into 1/2
4.077 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 eps)) (cos (* 1/2 eps))) in eps
4.077 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.077 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.077 * [taylor]: Taking taylor expansion of 1/2 in eps
4.077 * [backup-simplify]: Simplify 1/2 into 1/2
4.077 * [taylor]: Taking taylor expansion of eps in eps
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 1 into 1
4.077 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.078 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
4.078 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.078 * [taylor]: Taking taylor expansion of 1/2 in eps
4.078 * [backup-simplify]: Simplify 1/2 into 1/2
4.078 * [taylor]: Taking taylor expansion of eps in eps
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.079 * [backup-simplify]: Simplify (* 0 1) into 0
4.079 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.079 * [backup-simplify]: Simplify (- 0) into 0
4.079 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
4.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.082 * [backup-simplify]: Simplify (+ (* 0 -1/8) (+ (* 1/2 0) (* 0 1))) into 0
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.083 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 eps)))) into 0
4.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
4.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 2) (* 0 eps)))) into 0
4.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin (* 1/2 eps))))
4.093 * [backup-simplify]: Simplify (- (- (* 1/6 (sin (* 1/2 eps))))) into (* 1/6 (sin (* 1/2 eps)))
4.093 * [backup-simplify]: Simplify (+ 0 (* 1/6 (sin (* 1/2 eps)))) into (* 1/6 (sin (* 1/2 eps)))
4.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* (- (sin (* 1/2 eps))) 0) (+ (* (- (* 1/2 (cos (* 1/2 eps)))) 0) (* (* 1/6 (sin (* 1/2 eps))) (sin (* 1/2 eps)))))) into (* 1/6 (pow (sin (* 1/2 eps)) 2))
4.093 * [taylor]: Taking taylor expansion of (* 1/6 (pow (sin (* 1/2 eps)) 2)) in eps
4.093 * [taylor]: Taking taylor expansion of 1/6 in eps
4.093 * [backup-simplify]: Simplify 1/6 into 1/6
4.093 * [taylor]: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps
4.093 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
4.093 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
4.093 * [taylor]: Taking taylor expansion of 1/2 in eps
4.093 * [backup-simplify]: Simplify 1/2 into 1/2
4.093 * [taylor]: Taking taylor expansion of eps in eps
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.094 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.095 * [backup-simplify]: Simplify (+ 0) into 0
4.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
4.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2
4.096 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
4.096 * [backup-simplify]: Simplify (- 1/4) into -1/4
4.096 * [backup-simplify]: Simplify -1/4 into -1/4
4.096 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4
4.097 * [backup-simplify]: Simplify (- 1/4) into -1/4
4.097 * [backup-simplify]: Simplify -1/4 into -1/4
4.097 * [backup-simplify]: Simplify (+ (* -1/4 (* (pow eps 2) x)) (+ (* -1/4 (* eps (pow x 2))) (* 1/2 (* eps 1)))) into (- (* 1/2 eps) (+ (* 1/4 (* x (pow eps 2))) (* 1/4 (* (pow x 2) eps))))
4.097 * [backup-simplify]: Simplify (* (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) (sin (* 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))
4.097 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in (x eps) around 0
4.097 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps
4.097 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.097 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.097 * [taylor]: Taking taylor expansion of 1/2 in eps
4.097 * [backup-simplify]: Simplify 1/2 into 1/2
4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.097 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.098 * [taylor]: Taking taylor expansion of eps in eps
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.098 * [backup-simplify]: Simplify (/ 1 1) into 1
4.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.098 * [taylor]: Taking taylor expansion of 2 in eps
4.098 * [backup-simplify]: Simplify 2 into 2
4.098 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.098 * [taylor]: Taking taylor expansion of x in eps
4.098 * [backup-simplify]: Simplify x into x
4.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.098 * [backup-simplify]: Simplify (+ 1 0) into 1
4.098 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.099 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.099 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
4.099 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
4.099 * [taylor]: Taking taylor expansion of 1/2 in eps
4.099 * [backup-simplify]: Simplify 1/2 into 1/2
4.099 * [taylor]: Taking taylor expansion of eps in eps
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.099 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
4.099 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x
4.099 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.099 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.099 * [taylor]: Taking taylor expansion of 1/2 in x
4.099 * [backup-simplify]: Simplify 1/2 into 1/2
4.099 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.099 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.099 * [taylor]: Taking taylor expansion of eps in x
4.099 * [backup-simplify]: Simplify eps into eps
4.099 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.099 * [taylor]: Taking taylor expansion of 2 in x
4.099 * [backup-simplify]: Simplify 2 into 2
4.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.099 * [taylor]: Taking taylor expansion of x in x
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [backup-simplify]: Simplify (* 2 1) into 2
4.100 * [backup-simplify]: Simplify (+ 0 2) into 2
4.100 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.100 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
4.100 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
4.100 * [taylor]: Taking taylor expansion of 1/2 in x
4.100 * [backup-simplify]: Simplify 1/2 into 1/2
4.100 * [taylor]: Taking taylor expansion of eps in x
4.101 * [backup-simplify]: Simplify eps into eps
4.101 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
4.101 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
4.101 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
4.101 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x
4.101 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.101 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.101 * [taylor]: Taking taylor expansion of 1/2 in x
4.101 * [backup-simplify]: Simplify 1/2 into 1/2
4.101 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.101 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.101 * [taylor]: Taking taylor expansion of eps in x
4.101 * [backup-simplify]: Simplify eps into eps
4.101 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.101 * [taylor]: Taking taylor expansion of 2 in x
4.101 * [backup-simplify]: Simplify 2 into 2
4.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.101 * [taylor]: Taking taylor expansion of x in x
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [backup-simplify]: Simplify (* 2 1) into 2
4.102 * [backup-simplify]: Simplify (+ 0 2) into 2
4.102 * [backup-simplify]: Simplify (* 1/2 2) into 1
4.102 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.102 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
4.102 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
4.102 * [taylor]: Taking taylor expansion of 1/2 in x
4.102 * [backup-simplify]: Simplify 1/2 into 1/2
4.102 * [taylor]: Taking taylor expansion of eps in x
4.102 * [backup-simplify]: Simplify eps into eps
4.102 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
4.102 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
4.102 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
4.102 * [backup-simplify]: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps))
4.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 eps)) 0) into 0
4.103 * [backup-simplify]: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps))
4.103 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))
4.103 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps
4.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.103 * [taylor]: Taking taylor expansion of 1/2 in eps
4.103 * [backup-simplify]: Simplify 1/2 into 1/2
4.103 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.103 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.103 * [taylor]: Taking taylor expansion of eps in eps
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify 1 into 1
4.103 * [backup-simplify]: Simplify (/ 1 1) into 1
4.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.103 * [taylor]: Taking taylor expansion of 2 in eps
4.103 * [backup-simplify]: Simplify 2 into 2
4.103 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.103 * [taylor]: Taking taylor expansion of x in eps
4.103 * [backup-simplify]: Simplify x into x
4.103 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.104 * [backup-simplify]: Simplify (+ 1 0) into 1
4.104 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.104 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.104 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
4.104 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
4.104 * [taylor]: Taking taylor expansion of 1/2 in eps
4.104 * [backup-simplify]: Simplify 1/2 into 1/2
4.104 * [taylor]: Taking taylor expansion of eps in eps
4.104 * [backup-simplify]: Simplify 0 into 0
4.104 * [backup-simplify]: Simplify 1 into 1
4.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.104 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
4.104 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))
4.105 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))
4.105 * [backup-simplify]: Simplify (+ 0) into 0
4.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0
4.105 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0
4.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0
4.106 * [backup-simplify]: Simplify (+ 0 0) into 0
4.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
4.106 * [taylor]: Taking taylor expansion of 0 in eps
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
4.107 * [backup-simplify]: Simplify 0 into 0
4.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
4.108 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
4.109 * [backup-simplify]: Simplify (+ 0 0) into 0
4.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
4.109 * [taylor]: Taking taylor expansion of 0 in eps
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.112 * [backup-simplify]: Simplify (+ 0 0) into 0
4.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) into 0
4.113 * [taylor]: Taking taylor expansion of 0 in eps
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
4.114 * [backup-simplify]: Simplify (* (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) (sin (* 1/2 (/ 1 (- eps))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))
4.114 * [approximate]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in (x eps) around 0
4.114 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps
4.114 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.114 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.114 * [taylor]: Taking taylor expansion of -1/2 in eps
4.114 * [backup-simplify]: Simplify -1/2 into -1/2
4.114 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.114 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.114 * [taylor]: Taking taylor expansion of eps in eps
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (/ 1 1) into 1
4.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.114 * [taylor]: Taking taylor expansion of 2 in eps
4.114 * [backup-simplify]: Simplify 2 into 2
4.114 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.114 * [taylor]: Taking taylor expansion of x in eps
4.114 * [backup-simplify]: Simplify x into x
4.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.114 * [backup-simplify]: Simplify (+ 1 0) into 1
4.115 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.115 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.115 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
4.115 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
4.115 * [taylor]: Taking taylor expansion of -1/2 in eps
4.115 * [backup-simplify]: Simplify -1/2 into -1/2
4.115 * [taylor]: Taking taylor expansion of eps in eps
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify 1 into 1
4.115 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.115 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
4.115 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x
4.115 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.115 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.115 * [taylor]: Taking taylor expansion of -1/2 in x
4.115 * [backup-simplify]: Simplify -1/2 into -1/2
4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.115 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.115 * [taylor]: Taking taylor expansion of eps in x
4.115 * [backup-simplify]: Simplify eps into eps
4.115 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.116 * [taylor]: Taking taylor expansion of 2 in x
4.116 * [backup-simplify]: Simplify 2 into 2
4.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.116 * [taylor]: Taking taylor expansion of x in x
4.116 * [backup-simplify]: Simplify 0 into 0
4.116 * [backup-simplify]: Simplify 1 into 1
4.116 * [backup-simplify]: Simplify (/ 1 1) into 1
4.116 * [backup-simplify]: Simplify (* 2 1) into 2
4.116 * [backup-simplify]: Simplify (+ 0 2) into 2
4.117 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.117 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.117 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
4.117 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
4.117 * [taylor]: Taking taylor expansion of -1/2 in x
4.117 * [backup-simplify]: Simplify -1/2 into -1/2
4.117 * [taylor]: Taking taylor expansion of eps in x
4.117 * [backup-simplify]: Simplify eps into eps
4.117 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
4.117 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
4.117 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
4.117 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x
4.117 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
4.117 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.117 * [taylor]: Taking taylor expansion of -1/2 in x
4.117 * [backup-simplify]: Simplify -1/2 into -1/2
4.117 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.117 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.117 * [taylor]: Taking taylor expansion of eps in x
4.117 * [backup-simplify]: Simplify eps into eps
4.117 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.117 * [taylor]: Taking taylor expansion of 2 in x
4.117 * [backup-simplify]: Simplify 2 into 2
4.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.117 * [taylor]: Taking taylor expansion of x in x
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.118 * [backup-simplify]: Simplify (* 2 1) into 2
4.118 * [backup-simplify]: Simplify (+ 0 2) into 2
4.118 * [backup-simplify]: Simplify (* -1/2 2) into -1
4.118 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.118 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
4.118 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
4.118 * [taylor]: Taking taylor expansion of -1/2 in x
4.119 * [backup-simplify]: Simplify -1/2 into -1/2
4.119 * [taylor]: Taking taylor expansion of eps in x
4.119 * [backup-simplify]: Simplify eps into eps
4.119 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
4.119 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
4.119 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
4.119 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps))
4.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 eps)) 0) into 0
4.119 * [backup-simplify]: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps))
4.119 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))
4.119 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps
4.119 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
4.119 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.119 * [taylor]: Taking taylor expansion of -1/2 in eps
4.119 * [backup-simplify]: Simplify -1/2 into -1/2
4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.119 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.119 * [taylor]: Taking taylor expansion of eps in eps
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (/ 1 1) into 1
4.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.119 * [taylor]: Taking taylor expansion of 2 in eps
4.120 * [backup-simplify]: Simplify 2 into 2
4.120 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.120 * [taylor]: Taking taylor expansion of x in eps
4.120 * [backup-simplify]: Simplify x into x
4.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.120 * [backup-simplify]: Simplify (+ 1 0) into 1
4.120 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
4.120 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
4.120 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
4.120 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
4.120 * [taylor]: Taking taylor expansion of -1/2 in eps
4.120 * [backup-simplify]: Simplify -1/2 into -1/2
4.120 * [taylor]: Taking taylor expansion of eps in eps
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.121 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.121 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
4.121 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))
4.121 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))
4.121 * [backup-simplify]: Simplify (+ 0) into 0
4.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0
4.122 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0
4.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.123 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0
4.123 * [taylor]: Taking taylor expansion of 0 in eps
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0
4.123 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
4.124 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
4.125 * [backup-simplify]: Simplify (+ 0 0) into 0
4.126 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0
4.126 * [taylor]: Taking taylor expansion of 0 in eps
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0
4.126 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.127 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 0) into 0
4.129 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) into 0
4.129 * [taylor]: Taking taylor expansion of 0 in eps
4.129 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
4.130 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
4.130 * [backup-simplify]: Simplify (+ x (+ x eps)) into (+ (* 2 x) eps)
4.130 * [approximate]: Taking taylor expansion of (+ (* 2 x) eps) in (x eps) around 0
4.130 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
4.130 * [taylor]: Taking taylor expansion of (* 2 x) in eps
4.130 * [taylor]: Taking taylor expansion of 2 in eps
4.130 * [backup-simplify]: Simplify 2 into 2
4.130 * [taylor]: Taking taylor expansion of x in eps
4.130 * [backup-simplify]: Simplify x into x
4.130 * [taylor]: Taking taylor expansion of eps in eps
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.130 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.130 * [taylor]: Taking taylor expansion of 2 in x
4.130 * [backup-simplify]: Simplify 2 into 2
4.130 * [taylor]: Taking taylor expansion of x in x
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [taylor]: Taking taylor expansion of eps in x
4.130 * [backup-simplify]: Simplify eps into eps
4.130 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
4.130 * [taylor]: Taking taylor expansion of (* 2 x) in x
4.130 * [taylor]: Taking taylor expansion of 2 in x
4.130 * [backup-simplify]: Simplify 2 into 2
4.130 * [taylor]: Taking taylor expansion of x in x
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [taylor]: Taking taylor expansion of eps in x
4.130 * [backup-simplify]: Simplify eps into eps
4.131 * [backup-simplify]: Simplify (* 2 0) into 0
4.131 * [backup-simplify]: Simplify (+ 0 eps) into eps
4.131 * [taylor]: Taking taylor expansion of eps in eps
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.131 * [backup-simplify]: Simplify (+ 2 0) into 2
4.131 * [taylor]: Taking taylor expansion of 2 in eps
4.131 * [backup-simplify]: Simplify 2 into 2
4.131 * [backup-simplify]: Simplify 2 into 2
4.131 * [backup-simplify]: Simplify 1 into 1
4.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.132 * [backup-simplify]: Simplify (+ 0 0) into 0
4.132 * [taylor]: Taking taylor expansion of 0 in eps
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.133 * [backup-simplify]: Simplify (+ 0 0) into 0
4.133 * [taylor]: Taking taylor expansion of 0 in eps
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify (+ (* 1 (* eps 1)) (* 2 (* 1 x))) into (+ (* 2 x) eps)
4.134 * [backup-simplify]: Simplify (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) into (+ (/ 1 eps) (* 2 (/ 1 x)))
4.134 * [approximate]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in (x eps) around 0
4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.134 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.134 * [taylor]: Taking taylor expansion of eps in eps
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 1 into 1
4.134 * [backup-simplify]: Simplify (/ 1 1) into 1
4.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.134 * [taylor]: Taking taylor expansion of 2 in eps
4.134 * [backup-simplify]: Simplify 2 into 2
4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.134 * [taylor]: Taking taylor expansion of x in eps
4.134 * [backup-simplify]: Simplify x into x
4.134 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.134 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.134 * [taylor]: Taking taylor expansion of eps in x
4.134 * [backup-simplify]: Simplify eps into eps
4.134 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.134 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.134 * [taylor]: Taking taylor expansion of 2 in x
4.134 * [backup-simplify]: Simplify 2 into 2
4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.134 * [taylor]: Taking taylor expansion of x in x
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.135 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.135 * [taylor]: Taking taylor expansion of eps in x
4.135 * [backup-simplify]: Simplify eps into eps
4.135 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.135 * [taylor]: Taking taylor expansion of 2 in x
4.135 * [backup-simplify]: Simplify 2 into 2
4.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.135 * [taylor]: Taking taylor expansion of x in x
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [backup-simplify]: Simplify (* 2 1) into 2
4.136 * [backup-simplify]: Simplify (+ 0 2) into 2
4.136 * [taylor]: Taking taylor expansion of 2 in eps
4.136 * [backup-simplify]: Simplify 2 into 2
4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.137 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
4.137 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.137 * [taylor]: Taking taylor expansion of eps in eps
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 1 into 1
4.137 * [backup-simplify]: Simplify (/ 1 1) into 1
4.137 * [backup-simplify]: Simplify 1 into 1
4.137 * [backup-simplify]: Simplify 2 into 2
4.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [taylor]: Taking taylor expansion of 0 in eps
4.138 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ 0 0) into 0
4.140 * [taylor]: Taking taylor expansion of 0 in eps
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.144 * [backup-simplify]: Simplify (+ 0 0) into 0
4.144 * [taylor]: Taking taylor expansion of 0 in eps
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 eps)) 1))) into (+ (* 2 x) eps)
4.144 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) into (- (+ (/ 1 eps) (* 2 (/ 1 x))))
4.144 * [approximate]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in (x eps) around 0
4.144 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
4.145 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.145 * [taylor]: Taking taylor expansion of eps in eps
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 1 into 1
4.145 * [backup-simplify]: Simplify (/ 1 1) into 1
4.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
4.145 * [taylor]: Taking taylor expansion of 2 in eps
4.145 * [backup-simplify]: Simplify 2 into 2
4.145 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
4.145 * [taylor]: Taking taylor expansion of x in eps
4.145 * [backup-simplify]: Simplify x into x
4.145 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.145 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.145 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.145 * [taylor]: Taking taylor expansion of eps in x
4.145 * [backup-simplify]: Simplify eps into eps
4.146 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.146 * [taylor]: Taking taylor expansion of 2 in x
4.146 * [backup-simplify]: Simplify 2 into 2
4.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.146 * [taylor]: Taking taylor expansion of x in x
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 1 into 1
4.146 * [backup-simplify]: Simplify (/ 1 1) into 1
4.146 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
4.146 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
4.146 * [taylor]: Taking taylor expansion of eps in x
4.146 * [backup-simplify]: Simplify eps into eps
4.146 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
4.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
4.146 * [taylor]: Taking taylor expansion of 2 in x
4.146 * [backup-simplify]: Simplify 2 into 2
4.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.146 * [taylor]: Taking taylor expansion of x in x
4.146 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (/ 1 1) into 1
4.147 * [backup-simplify]: Simplify (* 2 1) into 2
4.148 * [backup-simplify]: Simplify (+ 0 2) into 2
4.148 * [backup-simplify]: Simplify (- 2) into -2
4.148 * [taylor]: Taking taylor expansion of -2 in eps
4.148 * [backup-simplify]: Simplify -2 into -2
4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.150 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.150 * [backup-simplify]: Simplify (+ (/ 1 eps) 0) into (/ 1 eps)
4.150 * [backup-simplify]: Simplify (- (/ 1 eps)) into (- (/ 1 eps))
4.150 * [taylor]: Taking taylor expansion of (- (/ 1 eps)) in eps
4.150 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
4.150 * [taylor]: Taking taylor expansion of eps in eps
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (/ 1 1) into 1
4.151 * [backup-simplify]: Simplify (- 1) into -1
4.151 * [backup-simplify]: Simplify -1 into -1
4.151 * [backup-simplify]: Simplify -2 into -2
4.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0
4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.154 * [backup-simplify]: Simplify (+ 0 0) into 0
4.154 * [backup-simplify]: Simplify (- 0) into 0
4.154 * [taylor]: Taking taylor expansion of 0 in eps
4.154 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (- 0) into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (- 0) into 0
4.159 * [taylor]: Taking taylor expansion of 0 in eps
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.160 * [backup-simplify]: Simplify (- 0) into 0
4.160 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.164 * [backup-simplify]: Simplify (- 0) into 0
4.164 * [taylor]: Taking taylor expansion of 0 in eps
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- eps))) 1))) into (+ (* 2 x) eps)
4.164 * * * [progress]: simplifying candidates
4.166 * [simplify]: Simplifying:
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))
  (+ (log (cos (/ (+ x (+ x eps)) 2))) (log (sin (* 1/2 eps))))
  (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (exp (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (* (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))) (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (sin (* 1/2 eps))))
  (* (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))) (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))))
  (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (* (* (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))) (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))) (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (sqrt (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps))))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sqrt (sin (* 1/2 eps))))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sqrt (sin (* 1/2 eps))))
  (* (cos (/ (+ x (+ x eps)) 2)) (* (cbrt (sin (* 1/2 eps))) (cbrt (sin (* 1/2 eps)))))
  (* (cos (/ (+ x (+ x eps)) 2)) (sqrt (sin (* 1/2 eps))))
  (* (cos (/ (+ x (+ x eps)) 2)) 1)
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (sin (* 1/2 eps)))
  (* (sqrt (cos (/ (+ x (+ x eps)) 2))) (sin (* 1/2 eps)))
  (* (cos (/ (+ x (+ x eps)) 2)) (sin (* 1/2 eps)))
  (* (exp x) (* (exp x) (exp eps)))
  (* (exp x) (exp (+ x eps)))
  (log (+ x (+ x eps)))
  (exp (+ x (+ x eps)))
  (* (cbrt (+ x (+ x eps))) (cbrt (+ x (+ x eps))))
  (cbrt (+ x (+ x eps)))
  (* (* (+ x (+ x eps)) (+ x (+ x eps))) (+ x (+ x eps)))
  (sqrt (+ x (+ x eps)))
  (sqrt (+ x (+ x eps)))
  (+ (pow x 3) (pow (+ x eps) 3))
  (+ (* x x) (- (* (+ x eps) (+ x eps)) (* x (+ x eps))))
  (- (* x x) (* (+ x eps) (+ x eps)))
  (- x (+ x eps))
  (+ x (+ x eps))
  (+ x (+ x eps))
  (+ x x)
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- (* 1/2 eps) (+ (* 1/4 (* x (pow eps 2))) (* 1/4 (* (pow x 2) eps))))
  (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
  (* (cos (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))
  (+ (* 2 x) eps)
  (+ (* 2 x) eps)
  (+ (* 2 x) eps)
4.167 * * [simplify]: iteration 0: 84 enodes
4.186 * * [simplify]: iteration 1: 209 enodes
4.295 * * [simplify]: iteration 2: 636 enodes
4.753 * * [simplify]: iteration 3: 2895 enodes
5.981 * * [simplify]: iteration complete: 5011 enodes
5.981 * * [simplify]: Extracting #0: cost 35 inf + 0
5.983 * * [simplify]: Extracting #1: cost 352 inf + 0
5.990 * * [simplify]: Extracting #2: cost 1295 inf + 4992
6.027 * * [simplify]: Extracting #3: cost 1262 inf + 68410
6.097 * * [simplify]: Extracting #4: cost 235 inf + 230096
6.182 * * [simplify]: Extracting #5: cost 31 inf + 272624
6.256 * * [simplify]: Extracting #6: cost 18 inf + 275621
6.358 * * [simplify]: Extracting #7: cost 2 inf + 278777
6.422 * * [simplify]: Extracting #8: cost 0 inf + 279365
6.529 * [simplify]: Simplified to:
  (log (cos (/ (+ (+ x x) eps) 2)))
  (exp (cos (/ (+ (+ x x) eps) 2)))
  (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2))))
  (cbrt (cos (/ (+ (+ x x) eps) 2)))
  (* (cos (/ (+ (+ x x) eps) 2)) (* (cos (/ (+ (+ x x) eps) 2)) (cos (/ (+ (+ x x) eps) 2))))
  (sqrt (cos (/ (+ (+ x x) eps) 2)))
  (sqrt (cos (/ (+ (+ x x) eps) 2)))
  (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))
  (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (exp (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (* (* (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))))
  (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (* (* (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))
  (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2))))
  (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sqrt (sin (/ eps 2))))
  (* (cos (/ (+ (+ x x) eps) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))))
  (* (sqrt (sin (/ eps 2))) (cos (/ (+ (+ x x) eps) 2)))
  (cos (/ (+ (+ x x) eps) 2))
  (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2)))
  (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))
  (exp (+ eps (+ x x)))
  (exp (+ eps (+ x x)))
  (log (+ (+ x x) eps))
  (exp (+ eps (+ x x)))
  (* (cbrt (+ (+ x x) eps)) (cbrt (+ (+ x x) eps)))
  (cbrt (+ (+ x x) eps))
  (* (* (+ (+ x x) eps) (+ (+ x x) eps)) (+ (+ x x) eps))
  (sqrt (+ (+ x x) eps))
  (sqrt (+ (+ x x) eps))
  (+ (* (* (+ eps x) (+ eps x)) (+ eps x)) (* x (* x x)))
  (+ (* (+ eps x) eps) (* x x))
  (* (+ (+ x x) eps) (- eps))
  (- eps)
  (+ (+ x x) eps)
  (+ (+ x x) eps)
  (+ x x)
  (- 1 (* 1/2 (* x (+ eps x))))
  (cos (+ (/ eps 2) x))
  (cos (+ (/ eps 2) x))
  (- (/ eps 2) (* (* x (+ (* x eps) (* eps eps))) 1/4))
  (* (cos (+ (/ eps 2) x)) (sin (/ eps 2)))
  (* (cos (+ (/ eps 2) x)) (sin (/ eps 2)))
  (+ (+ x x) eps)
  (+ (+ x x) eps)
  (+ (+ x x) eps)
6.532 * * * [progress]: adding candidates to table
6.797 * * [progress]: iteration 3 / 4
6.797 * * * [progress]: picking best candidate
6.859 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (sin (* 1/2 eps)))))>
6.860 * * * [progress]: localizing error
6.913 * * * [progress]: generating rewritten candidates
6.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2)
6.937 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2)
6.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1)
7.000 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
7.021 * * * [progress]: generating series expansions
7.021 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2)
7.021 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
7.021 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
7.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
7.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
7.022 * [taylor]: Taking taylor expansion of 1/2 in eps
7.022 * [backup-simplify]: Simplify 1/2 into 1/2
7.022 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
7.022 * [taylor]: Taking taylor expansion of (* 2 x) in eps
7.022 * [taylor]: Taking taylor expansion of 2 in eps
7.022 * [backup-simplify]: Simplify 2 into 2
7.022 * [taylor]: Taking taylor expansion of x in eps
7.022 * [backup-simplify]: Simplify x into x
7.022 * [taylor]: Taking taylor expansion of eps in eps
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.022 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
7.022 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
7.022 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
7.022 * [backup-simplify]: Simplify (cos x) into (cos x)
7.022 * [backup-simplify]: Simplify (sin x) into (sin x)
7.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.022 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.022 * [taylor]: Taking taylor expansion of 1/2 in x
7.022 * [backup-simplify]: Simplify 1/2 into 1/2
7.022 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.022 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.022 * [taylor]: Taking taylor expansion of 2 in x
7.022 * [backup-simplify]: Simplify 2 into 2
7.022 * [taylor]: Taking taylor expansion of x in x
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.022 * [taylor]: Taking taylor expansion of eps in x
7.023 * [backup-simplify]: Simplify eps into eps
7.023 * [backup-simplify]: Simplify (* 2 0) into 0
7.023 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.024 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.024 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.024 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.024 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.024 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.024 * [taylor]: Taking taylor expansion of 1/2 in x
7.024 * [backup-simplify]: Simplify 1/2 into 1/2
7.024 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.024 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.024 * [taylor]: Taking taylor expansion of 2 in x
7.024 * [backup-simplify]: Simplify 2 into 2
7.024 * [taylor]: Taking taylor expansion of x in x
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 1 into 1
7.024 * [taylor]: Taking taylor expansion of eps in x
7.024 * [backup-simplify]: Simplify eps into eps
7.025 * [backup-simplify]: Simplify (* 2 0) into 0
7.025 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.025 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.025 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.025 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.025 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
7.025 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
7.026 * [backup-simplify]: Simplify (- 0) into 0
7.026 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
7.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.026 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.026 * [taylor]: Taking taylor expansion of 1/2 in eps
7.026 * [backup-simplify]: Simplify 1/2 into 1/2
7.026 * [taylor]: Taking taylor expansion of eps in eps
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.027 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.027 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (+ 0) into 0
7.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
7.029 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.029 * [backup-simplify]: Simplify (+ 2 0) into 2
7.030 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
7.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.031 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
7.031 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
7.031 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
7.031 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
7.031 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
7.031 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.031 * [taylor]: Taking taylor expansion of 1/2 in eps
7.031 * [backup-simplify]: Simplify 1/2 into 1/2
7.031 * [taylor]: Taking taylor expansion of eps in eps
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify 1 into 1
7.032 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.033 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.033 * [backup-simplify]: Simplify (- 0) into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify (+ 0) into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
7.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.037 * [backup-simplify]: Simplify (+ 0 0) into 0
7.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
7.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.039 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
7.039 * [backup-simplify]: Simplify (- 0) into 0
7.040 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
7.040 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
7.040 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
7.040 * [taylor]: Taking taylor expansion of 1/2 in eps
7.040 * [backup-simplify]: Simplify 1/2 into 1/2
7.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.040 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.040 * [taylor]: Taking taylor expansion of 1/2 in eps
7.040 * [backup-simplify]: Simplify 1/2 into 1/2
7.040 * [taylor]: Taking taylor expansion of eps in eps
7.040 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify 1 into 1
7.040 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.041 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.042 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.042 * [backup-simplify]: Simplify -1/2 into -1/2
7.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.043 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.043 * [backup-simplify]: Simplify -1/2 into -1/2
7.044 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
7.044 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.044 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.044 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.044 * [taylor]: Taking taylor expansion of 1/2 in eps
7.044 * [backup-simplify]: Simplify 1/2 into 1/2
7.044 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.044 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.044 * [taylor]: Taking taylor expansion of eps in eps
7.044 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify 1 into 1
7.045 * [backup-simplify]: Simplify (/ 1 1) into 1
7.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.045 * [taylor]: Taking taylor expansion of 2 in eps
7.045 * [backup-simplify]: Simplify 2 into 2
7.045 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.045 * [taylor]: Taking taylor expansion of x in eps
7.045 * [backup-simplify]: Simplify x into x
7.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.045 * [backup-simplify]: Simplify (+ 1 0) into 1
7.046 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.046 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.046 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.046 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.046 * [taylor]: Taking taylor expansion of 1/2 in x
7.046 * [backup-simplify]: Simplify 1/2 into 1/2
7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.046 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.046 * [taylor]: Taking taylor expansion of eps in x
7.046 * [backup-simplify]: Simplify eps into eps
7.046 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.046 * [taylor]: Taking taylor expansion of 2 in x
7.046 * [backup-simplify]: Simplify 2 into 2
7.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.046 * [taylor]: Taking taylor expansion of x in x
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (/ 1 1) into 1
7.047 * [backup-simplify]: Simplify (* 2 1) into 2
7.048 * [backup-simplify]: Simplify (+ 0 2) into 2
7.048 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.048 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.048 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.049 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.049 * [taylor]: Taking taylor expansion of 1/2 in x
7.049 * [backup-simplify]: Simplify 1/2 into 1/2
7.049 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.049 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.049 * [taylor]: Taking taylor expansion of eps in x
7.049 * [backup-simplify]: Simplify eps into eps
7.049 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.049 * [taylor]: Taking taylor expansion of 2 in x
7.049 * [backup-simplify]: Simplify 2 into 2
7.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.049 * [taylor]: Taking taylor expansion of x in x
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.049 * [backup-simplify]: Simplify (/ 1 1) into 1
7.050 * [backup-simplify]: Simplify (* 2 1) into 2
7.051 * [backup-simplify]: Simplify (+ 0 2) into 2
7.051 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.051 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.052 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.052 * [taylor]: Taking taylor expansion of 1/2 in eps
7.052 * [backup-simplify]: Simplify 1/2 into 1/2
7.052 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.052 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.052 * [taylor]: Taking taylor expansion of eps in eps
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify (/ 1 1) into 1
7.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.052 * [taylor]: Taking taylor expansion of 2 in eps
7.052 * [backup-simplify]: Simplify 2 into 2
7.052 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.052 * [taylor]: Taking taylor expansion of x in eps
7.052 * [backup-simplify]: Simplify x into x
7.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.053 * [backup-simplify]: Simplify (+ 1 0) into 1
7.053 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.053 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.054 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.054 * [taylor]: Taking taylor expansion of 0 in eps
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [taylor]: Taking taylor expansion of 0 in eps
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [taylor]: Taking taylor expansion of 0 in eps
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify 0 into 0
7.054 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.055 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.055 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.055 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.055 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.055 * [taylor]: Taking taylor expansion of -1/2 in eps
7.055 * [backup-simplify]: Simplify -1/2 into -1/2
7.055 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.055 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.055 * [taylor]: Taking taylor expansion of eps in eps
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 1 into 1
7.056 * [backup-simplify]: Simplify (/ 1 1) into 1
7.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.056 * [taylor]: Taking taylor expansion of 2 in eps
7.056 * [backup-simplify]: Simplify 2 into 2
7.056 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.056 * [taylor]: Taking taylor expansion of x in eps
7.056 * [backup-simplify]: Simplify x into x
7.056 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.056 * [backup-simplify]: Simplify (+ 1 0) into 1
7.057 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.057 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.057 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.057 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.057 * [taylor]: Taking taylor expansion of -1/2 in x
7.057 * [backup-simplify]: Simplify -1/2 into -1/2
7.057 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.057 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.057 * [taylor]: Taking taylor expansion of eps in x
7.057 * [backup-simplify]: Simplify eps into eps
7.057 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.057 * [taylor]: Taking taylor expansion of 2 in x
7.057 * [backup-simplify]: Simplify 2 into 2
7.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.058 * [taylor]: Taking taylor expansion of x in x
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (/ 1 1) into 1
7.058 * [backup-simplify]: Simplify (* 2 1) into 2
7.059 * [backup-simplify]: Simplify (+ 0 2) into 2
7.059 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.059 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.060 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.060 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.060 * [taylor]: Taking taylor expansion of -1/2 in x
7.060 * [backup-simplify]: Simplify -1/2 into -1/2
7.060 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.060 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.060 * [taylor]: Taking taylor expansion of eps in x
7.060 * [backup-simplify]: Simplify eps into eps
7.060 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.060 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.060 * [taylor]: Taking taylor expansion of 2 in x
7.060 * [backup-simplify]: Simplify 2 into 2
7.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.060 * [taylor]: Taking taylor expansion of x in x
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.060 * [backup-simplify]: Simplify (/ 1 1) into 1
7.061 * [backup-simplify]: Simplify (* 2 1) into 2
7.061 * [backup-simplify]: Simplify (+ 0 2) into 2
7.062 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.062 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.062 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.062 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.062 * [taylor]: Taking taylor expansion of -1/2 in eps
7.062 * [backup-simplify]: Simplify -1/2 into -1/2
7.062 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.062 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.062 * [taylor]: Taking taylor expansion of eps in eps
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (/ 1 1) into 1
7.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.063 * [taylor]: Taking taylor expansion of 2 in eps
7.063 * [backup-simplify]: Simplify 2 into 2
7.063 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.063 * [taylor]: Taking taylor expansion of x in eps
7.063 * [backup-simplify]: Simplify x into x
7.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.063 * [backup-simplify]: Simplify (+ 1 0) into 1
7.064 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.064 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.064 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.064 * [taylor]: Taking taylor expansion of 0 in eps
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [taylor]: Taking taylor expansion of 0 in eps
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [taylor]: Taking taylor expansion of 0 in eps
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.065 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2)
7.065 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
7.065 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
7.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
7.065 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
7.065 * [taylor]: Taking taylor expansion of 1/2 in eps
7.065 * [backup-simplify]: Simplify 1/2 into 1/2
7.065 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
7.065 * [taylor]: Taking taylor expansion of (* 2 x) in eps
7.065 * [taylor]: Taking taylor expansion of 2 in eps
7.065 * [backup-simplify]: Simplify 2 into 2
7.065 * [taylor]: Taking taylor expansion of x in eps
7.065 * [backup-simplify]: Simplify x into x
7.065 * [taylor]: Taking taylor expansion of eps in eps
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
7.066 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
7.066 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
7.066 * [backup-simplify]: Simplify (cos x) into (cos x)
7.066 * [backup-simplify]: Simplify (sin x) into (sin x)
7.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.066 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.066 * [taylor]: Taking taylor expansion of 1/2 in x
7.066 * [backup-simplify]: Simplify 1/2 into 1/2
7.066 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.066 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.066 * [taylor]: Taking taylor expansion of 2 in x
7.066 * [backup-simplify]: Simplify 2 into 2
7.066 * [taylor]: Taking taylor expansion of x in x
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.066 * [taylor]: Taking taylor expansion of eps in x
7.066 * [backup-simplify]: Simplify eps into eps
7.068 * [backup-simplify]: Simplify (* 2 0) into 0
7.069 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.069 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.069 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.069 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.069 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.069 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.069 * [taylor]: Taking taylor expansion of 1/2 in x
7.069 * [backup-simplify]: Simplify 1/2 into 1/2
7.069 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.069 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.069 * [taylor]: Taking taylor expansion of 2 in x
7.069 * [backup-simplify]: Simplify 2 into 2
7.069 * [taylor]: Taking taylor expansion of x in x
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of eps in x
7.069 * [backup-simplify]: Simplify eps into eps
7.069 * [backup-simplify]: Simplify (* 2 0) into 0
7.069 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.069 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.069 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.069 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.069 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
7.070 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
7.070 * [backup-simplify]: Simplify (- 0) into 0
7.070 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
7.070 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.070 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.070 * [taylor]: Taking taylor expansion of 1/2 in eps
7.070 * [backup-simplify]: Simplify 1/2 into 1/2
7.070 * [taylor]: Taking taylor expansion of eps in eps
7.070 * [backup-simplify]: Simplify 0 into 0
7.070 * [backup-simplify]: Simplify 1 into 1
7.070 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.071 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.071 * [backup-simplify]: Simplify 1 into 1
7.071 * [backup-simplify]: Simplify (+ 0) into 0
7.071 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
7.072 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.072 * [backup-simplify]: Simplify (+ 2 0) into 2
7.072 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
7.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.073 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
7.073 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
7.073 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
7.073 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
7.073 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
7.073 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.073 * [taylor]: Taking taylor expansion of 1/2 in eps
7.073 * [backup-simplify]: Simplify 1/2 into 1/2
7.073 * [taylor]: Taking taylor expansion of eps in eps
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.074 * [backup-simplify]: Simplify (- 0) into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify (+ 0) into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
7.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
7.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.078 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
7.078 * [backup-simplify]: Simplify (- 0) into 0
7.078 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
7.078 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
7.078 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
7.078 * [taylor]: Taking taylor expansion of 1/2 in eps
7.078 * [backup-simplify]: Simplify 1/2 into 1/2
7.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.078 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.078 * [taylor]: Taking taylor expansion of 1/2 in eps
7.078 * [backup-simplify]: Simplify 1/2 into 1/2
7.078 * [taylor]: Taking taylor expansion of eps in eps
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 1 into 1
7.078 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.079 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.079 * [backup-simplify]: Simplify -1/2 into -1/2
7.080 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.080 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.080 * [backup-simplify]: Simplify -1/2 into -1/2
7.080 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
7.080 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.080 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.081 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.081 * [taylor]: Taking taylor expansion of 1/2 in eps
7.081 * [backup-simplify]: Simplify 1/2 into 1/2
7.081 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.081 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.081 * [taylor]: Taking taylor expansion of eps in eps
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 1 into 1
7.081 * [backup-simplify]: Simplify (/ 1 1) into 1
7.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.081 * [taylor]: Taking taylor expansion of 2 in eps
7.081 * [backup-simplify]: Simplify 2 into 2
7.081 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.081 * [taylor]: Taking taylor expansion of x in eps
7.081 * [backup-simplify]: Simplify x into x
7.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.081 * [backup-simplify]: Simplify (+ 1 0) into 1
7.082 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.082 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.082 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.082 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.082 * [taylor]: Taking taylor expansion of 1/2 in x
7.082 * [backup-simplify]: Simplify 1/2 into 1/2
7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.082 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.082 * [taylor]: Taking taylor expansion of eps in x
7.082 * [backup-simplify]: Simplify eps into eps
7.082 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.082 * [taylor]: Taking taylor expansion of 2 in x
7.082 * [backup-simplify]: Simplify 2 into 2
7.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.082 * [taylor]: Taking taylor expansion of x in x
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.082 * [backup-simplify]: Simplify (/ 1 1) into 1
7.082 * [backup-simplify]: Simplify (* 2 1) into 2
7.083 * [backup-simplify]: Simplify (+ 0 2) into 2
7.083 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.083 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.083 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.083 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.083 * [taylor]: Taking taylor expansion of 1/2 in x
7.083 * [backup-simplify]: Simplify 1/2 into 1/2
7.083 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.083 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.083 * [taylor]: Taking taylor expansion of eps in x
7.083 * [backup-simplify]: Simplify eps into eps
7.083 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.083 * [taylor]: Taking taylor expansion of 2 in x
7.083 * [backup-simplify]: Simplify 2 into 2
7.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.083 * [taylor]: Taking taylor expansion of x in x
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 1 into 1
7.084 * [backup-simplify]: Simplify (/ 1 1) into 1
7.084 * [backup-simplify]: Simplify (* 2 1) into 2
7.084 * [backup-simplify]: Simplify (+ 0 2) into 2
7.084 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.084 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.085 * [taylor]: Taking taylor expansion of 1/2 in eps
7.085 * [backup-simplify]: Simplify 1/2 into 1/2
7.085 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.085 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.085 * [taylor]: Taking taylor expansion of eps in eps
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.085 * [taylor]: Taking taylor expansion of 2 in eps
7.085 * [backup-simplify]: Simplify 2 into 2
7.085 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.085 * [taylor]: Taking taylor expansion of x in eps
7.085 * [backup-simplify]: Simplify x into x
7.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.085 * [backup-simplify]: Simplify (+ 1 0) into 1
7.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.086 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.086 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.086 * [taylor]: Taking taylor expansion of 0 in eps
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [taylor]: Taking taylor expansion of 0 in eps
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [taylor]: Taking taylor expansion of 0 in eps
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.086 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.086 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.086 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.086 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.086 * [taylor]: Taking taylor expansion of -1/2 in eps
7.086 * [backup-simplify]: Simplify -1/2 into -1/2
7.086 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.087 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.087 * [taylor]: Taking taylor expansion of eps in eps
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.087 * [backup-simplify]: Simplify (/ 1 1) into 1
7.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.087 * [taylor]: Taking taylor expansion of 2 in eps
7.087 * [backup-simplify]: Simplify 2 into 2
7.087 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.087 * [taylor]: Taking taylor expansion of x in eps
7.087 * [backup-simplify]: Simplify x into x
7.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.087 * [backup-simplify]: Simplify (+ 1 0) into 1
7.087 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.088 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.088 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.088 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.088 * [taylor]: Taking taylor expansion of -1/2 in x
7.088 * [backup-simplify]: Simplify -1/2 into -1/2
7.088 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.088 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.088 * [taylor]: Taking taylor expansion of eps in x
7.088 * [backup-simplify]: Simplify eps into eps
7.088 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.088 * [taylor]: Taking taylor expansion of 2 in x
7.088 * [backup-simplify]: Simplify 2 into 2
7.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.088 * [taylor]: Taking taylor expansion of x in x
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (/ 1 1) into 1
7.088 * [backup-simplify]: Simplify (* 2 1) into 2
7.089 * [backup-simplify]: Simplify (+ 0 2) into 2
7.089 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.089 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.089 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.089 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.089 * [taylor]: Taking taylor expansion of -1/2 in x
7.089 * [backup-simplify]: Simplify -1/2 into -1/2
7.089 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.089 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.089 * [taylor]: Taking taylor expansion of eps in x
7.089 * [backup-simplify]: Simplify eps into eps
7.089 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.089 * [taylor]: Taking taylor expansion of 2 in x
7.089 * [backup-simplify]: Simplify 2 into 2
7.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.089 * [taylor]: Taking taylor expansion of x in x
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 1 into 1
7.089 * [backup-simplify]: Simplify (/ 1 1) into 1
7.090 * [backup-simplify]: Simplify (* 2 1) into 2
7.090 * [backup-simplify]: Simplify (+ 0 2) into 2
7.090 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.090 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.090 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.090 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.090 * [taylor]: Taking taylor expansion of -1/2 in eps
7.091 * [backup-simplify]: Simplify -1/2 into -1/2
7.091 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.091 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.091 * [taylor]: Taking taylor expansion of eps in eps
7.091 * [backup-simplify]: Simplify 0 into 0
7.091 * [backup-simplify]: Simplify 1 into 1
7.091 * [backup-simplify]: Simplify (/ 1 1) into 1
7.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.091 * [taylor]: Taking taylor expansion of 2 in eps
7.091 * [backup-simplify]: Simplify 2 into 2
7.091 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.091 * [taylor]: Taking taylor expansion of x in eps
7.091 * [backup-simplify]: Simplify x into x
7.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.091 * [backup-simplify]: Simplify (+ 1 0) into 1
7.091 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.092 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.092 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.092 * [taylor]: Taking taylor expansion of 0 in eps
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [taylor]: Taking taylor expansion of 0 in eps
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [taylor]: Taking taylor expansion of 0 in eps
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.092 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1)
7.092 * [backup-simplify]: Simplify (cos (/ (+ x (+ x eps)) 2)) into (cos (* 1/2 (+ (* 2 x) eps)))
7.092 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
7.092 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
7.092 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
7.092 * [taylor]: Taking taylor expansion of 1/2 in eps
7.092 * [backup-simplify]: Simplify 1/2 into 1/2
7.092 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
7.092 * [taylor]: Taking taylor expansion of (* 2 x) in eps
7.092 * [taylor]: Taking taylor expansion of 2 in eps
7.092 * [backup-simplify]: Simplify 2 into 2
7.092 * [taylor]: Taking taylor expansion of x in eps
7.093 * [backup-simplify]: Simplify x into x
7.093 * [taylor]: Taking taylor expansion of eps in eps
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
7.093 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
7.093 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
7.093 * [backup-simplify]: Simplify (cos x) into (cos x)
7.093 * [backup-simplify]: Simplify (sin x) into (sin x)
7.093 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.093 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.093 * [taylor]: Taking taylor expansion of 1/2 in x
7.093 * [backup-simplify]: Simplify 1/2 into 1/2
7.093 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.093 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.093 * [taylor]: Taking taylor expansion of 2 in x
7.093 * [backup-simplify]: Simplify 2 into 2
7.093 * [taylor]: Taking taylor expansion of x in x
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [taylor]: Taking taylor expansion of eps in x
7.093 * [backup-simplify]: Simplify eps into eps
7.093 * [backup-simplify]: Simplify (* 2 0) into 0
7.093 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.093 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.094 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.094 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.094 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.094 * [taylor]: Taking taylor expansion of 1/2 in x
7.094 * [backup-simplify]: Simplify 1/2 into 1/2
7.094 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.094 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.094 * [taylor]: Taking taylor expansion of 2 in x
7.094 * [backup-simplify]: Simplify 2 into 2
7.094 * [taylor]: Taking taylor expansion of x in x
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [taylor]: Taking taylor expansion of eps in x
7.094 * [backup-simplify]: Simplify eps into eps
7.094 * [backup-simplify]: Simplify (* 2 0) into 0
7.095 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.095 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.095 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.095 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.095 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
7.095 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
7.095 * [backup-simplify]: Simplify (- 0) into 0
7.096 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
7.096 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.096 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.096 * [taylor]: Taking taylor expansion of 1/2 in eps
7.096 * [backup-simplify]: Simplify 1/2 into 1/2
7.096 * [taylor]: Taking taylor expansion of eps in eps
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.097 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.097 * [backup-simplify]: Simplify 1 into 1
7.097 * [backup-simplify]: Simplify (+ 0) into 0
7.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
7.099 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.099 * [backup-simplify]: Simplify (+ 2 0) into 2
7.100 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
7.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.101 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
7.101 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
7.101 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
7.101 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
7.101 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
7.101 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.101 * [taylor]: Taking taylor expansion of 1/2 in eps
7.101 * [backup-simplify]: Simplify 1/2 into 1/2
7.101 * [taylor]: Taking taylor expansion of eps in eps
7.101 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify 1 into 1
7.102 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.102 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.103 * [backup-simplify]: Simplify (- 0) into 0
7.103 * [backup-simplify]: Simplify 0 into 0
7.103 * [backup-simplify]: Simplify (+ 0) into 0
7.103 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.105 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
7.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.106 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
7.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.109 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
7.109 * [backup-simplify]: Simplify (- 0) into 0
7.109 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
7.109 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
7.109 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
7.109 * [taylor]: Taking taylor expansion of 1/2 in eps
7.109 * [backup-simplify]: Simplify 1/2 into 1/2
7.109 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.109 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.109 * [taylor]: Taking taylor expansion of 1/2 in eps
7.109 * [backup-simplify]: Simplify 1/2 into 1/2
7.109 * [taylor]: Taking taylor expansion of eps in eps
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.110 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.111 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.112 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.112 * [backup-simplify]: Simplify -1/2 into -1/2
7.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.113 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.113 * [backup-simplify]: Simplify -1/2 into -1/2
7.114 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
7.114 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.114 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.114 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.114 * [taylor]: Taking taylor expansion of 1/2 in eps
7.114 * [backup-simplify]: Simplify 1/2 into 1/2
7.114 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.114 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.114 * [taylor]: Taking taylor expansion of eps in eps
7.114 * [backup-simplify]: Simplify 0 into 0
7.114 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify (/ 1 1) into 1
7.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.115 * [taylor]: Taking taylor expansion of 2 in eps
7.115 * [backup-simplify]: Simplify 2 into 2
7.115 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.115 * [taylor]: Taking taylor expansion of x in eps
7.115 * [backup-simplify]: Simplify x into x
7.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.115 * [backup-simplify]: Simplify (+ 1 0) into 1
7.116 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.116 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.116 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.116 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.116 * [taylor]: Taking taylor expansion of 1/2 in x
7.116 * [backup-simplify]: Simplify 1/2 into 1/2
7.116 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.116 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.116 * [taylor]: Taking taylor expansion of eps in x
7.116 * [backup-simplify]: Simplify eps into eps
7.116 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.116 * [taylor]: Taking taylor expansion of 2 in x
7.116 * [backup-simplify]: Simplify 2 into 2
7.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.116 * [taylor]: Taking taylor expansion of x in x
7.116 * [backup-simplify]: Simplify 0 into 0
7.116 * [backup-simplify]: Simplify 1 into 1
7.117 * [backup-simplify]: Simplify (/ 1 1) into 1
7.117 * [backup-simplify]: Simplify (* 2 1) into 2
7.118 * [backup-simplify]: Simplify (+ 0 2) into 2
7.118 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.118 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.118 * [taylor]: Taking taylor expansion of 1/2 in x
7.118 * [backup-simplify]: Simplify 1/2 into 1/2
7.118 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.118 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.118 * [taylor]: Taking taylor expansion of eps in x
7.118 * [backup-simplify]: Simplify eps into eps
7.119 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.119 * [taylor]: Taking taylor expansion of 2 in x
7.119 * [backup-simplify]: Simplify 2 into 2
7.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.119 * [taylor]: Taking taylor expansion of x in x
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify 1 into 1
7.119 * [backup-simplify]: Simplify (/ 1 1) into 1
7.120 * [backup-simplify]: Simplify (* 2 1) into 2
7.120 * [backup-simplify]: Simplify (+ 0 2) into 2
7.120 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.121 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.121 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.121 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.121 * [taylor]: Taking taylor expansion of 1/2 in eps
7.121 * [backup-simplify]: Simplify 1/2 into 1/2
7.121 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.121 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.121 * [taylor]: Taking taylor expansion of eps in eps
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 1 into 1
7.121 * [backup-simplify]: Simplify (/ 1 1) into 1
7.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.121 * [taylor]: Taking taylor expansion of 2 in eps
7.121 * [backup-simplify]: Simplify 2 into 2
7.121 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.121 * [taylor]: Taking taylor expansion of x in eps
7.122 * [backup-simplify]: Simplify x into x
7.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.122 * [backup-simplify]: Simplify (+ 1 0) into 1
7.122 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.123 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.123 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.123 * [taylor]: Taking taylor expansion of 0 in eps
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [taylor]: Taking taylor expansion of 0 in eps
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [taylor]: Taking taylor expansion of 0 in eps
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.124 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.124 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.124 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.124 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.124 * [taylor]: Taking taylor expansion of -1/2 in eps
7.124 * [backup-simplify]: Simplify -1/2 into -1/2
7.124 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.124 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.124 * [taylor]: Taking taylor expansion of eps in eps
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.125 * [backup-simplify]: Simplify (/ 1 1) into 1
7.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.125 * [taylor]: Taking taylor expansion of 2 in eps
7.125 * [backup-simplify]: Simplify 2 into 2
7.125 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.125 * [taylor]: Taking taylor expansion of x in eps
7.125 * [backup-simplify]: Simplify x into x
7.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.125 * [backup-simplify]: Simplify (+ 1 0) into 1
7.126 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.126 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.126 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.126 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.126 * [taylor]: Taking taylor expansion of -1/2 in x
7.126 * [backup-simplify]: Simplify -1/2 into -1/2
7.126 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.126 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.126 * [taylor]: Taking taylor expansion of eps in x
7.126 * [backup-simplify]: Simplify eps into eps
7.126 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.126 * [taylor]: Taking taylor expansion of 2 in x
7.126 * [backup-simplify]: Simplify 2 into 2
7.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.126 * [taylor]: Taking taylor expansion of x in x
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 1 into 1
7.127 * [backup-simplify]: Simplify (/ 1 1) into 1
7.127 * [backup-simplify]: Simplify (* 2 1) into 2
7.128 * [backup-simplify]: Simplify (+ 0 2) into 2
7.128 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.128 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.128 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.128 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.128 * [taylor]: Taking taylor expansion of -1/2 in x
7.129 * [backup-simplify]: Simplify -1/2 into -1/2
7.129 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.129 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.129 * [taylor]: Taking taylor expansion of eps in x
7.129 * [backup-simplify]: Simplify eps into eps
7.129 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.129 * [taylor]: Taking taylor expansion of 2 in x
7.129 * [backup-simplify]: Simplify 2 into 2
7.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.129 * [taylor]: Taking taylor expansion of x in x
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 1 into 1
7.129 * [backup-simplify]: Simplify (/ 1 1) into 1
7.130 * [backup-simplify]: Simplify (* 2 1) into 2
7.130 * [backup-simplify]: Simplify (+ 0 2) into 2
7.131 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.131 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.131 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.131 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.131 * [taylor]: Taking taylor expansion of -1/2 in eps
7.131 * [backup-simplify]: Simplify -1/2 into -1/2
7.131 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.131 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.131 * [taylor]: Taking taylor expansion of eps in eps
7.131 * [backup-simplify]: Simplify 0 into 0
7.131 * [backup-simplify]: Simplify 1 into 1
7.131 * [backup-simplify]: Simplify (/ 1 1) into 1
7.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.132 * [taylor]: Taking taylor expansion of 2 in eps
7.132 * [backup-simplify]: Simplify 2 into 2
7.132 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.132 * [taylor]: Taking taylor expansion of x in eps
7.132 * [backup-simplify]: Simplify x into x
7.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.132 * [backup-simplify]: Simplify (+ 1 0) into 1
7.133 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.133 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.133 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.133 * [taylor]: Taking taylor expansion of 0 in eps
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [taylor]: Taking taylor expansion of 0 in eps
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [taylor]: Taking taylor expansion of 0 in eps
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.134 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.134 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
7.134 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.134 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in (x eps) around 0
7.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in eps
7.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in eps
7.135 * [taylor]: Taking taylor expansion of 1/2 in eps
7.135 * [backup-simplify]: Simplify 1/2 into 1/2
7.135 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in eps
7.135 * [taylor]: Taking taylor expansion of (* 2 x) in eps
7.135 * [taylor]: Taking taylor expansion of 2 in eps
7.135 * [backup-simplify]: Simplify 2 into 2
7.135 * [taylor]: Taking taylor expansion of x in eps
7.135 * [backup-simplify]: Simplify x into x
7.135 * [taylor]: Taking taylor expansion of eps in eps
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [backup-simplify]: Simplify (* 2 x) into (* 2 x)
7.135 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x)
7.135 * [backup-simplify]: Simplify (* 1/2 (* 2 x)) into x
7.135 * [backup-simplify]: Simplify (cos x) into (cos x)
7.135 * [backup-simplify]: Simplify (sin x) into (sin x)
7.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.135 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.135 * [taylor]: Taking taylor expansion of 1/2 in x
7.135 * [backup-simplify]: Simplify 1/2 into 1/2
7.135 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.135 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.135 * [taylor]: Taking taylor expansion of 2 in x
7.135 * [backup-simplify]: Simplify 2 into 2
7.135 * [taylor]: Taking taylor expansion of x in x
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [taylor]: Taking taylor expansion of eps in x
7.136 * [backup-simplify]: Simplify eps into eps
7.136 * [backup-simplify]: Simplify (* 2 0) into 0
7.136 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.136 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.136 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.136 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.136 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (* 2 x) eps))) in x
7.136 * [taylor]: Taking taylor expansion of (* 1/2 (+ (* 2 x) eps)) in x
7.136 * [taylor]: Taking taylor expansion of 1/2 in x
7.136 * [backup-simplify]: Simplify 1/2 into 1/2
7.137 * [taylor]: Taking taylor expansion of (+ (* 2 x) eps) in x
7.137 * [taylor]: Taking taylor expansion of (* 2 x) in x
7.137 * [taylor]: Taking taylor expansion of 2 in x
7.137 * [backup-simplify]: Simplify 2 into 2
7.137 * [taylor]: Taking taylor expansion of x in x
7.137 * [backup-simplify]: Simplify 0 into 0
7.137 * [backup-simplify]: Simplify 1 into 1
7.137 * [taylor]: Taking taylor expansion of eps in x
7.137 * [backup-simplify]: Simplify eps into eps
7.137 * [backup-simplify]: Simplify (* 2 0) into 0
7.137 * [backup-simplify]: Simplify (+ 0 eps) into eps
7.137 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
7.137 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
7.137 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
7.137 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
7.138 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
7.138 * [backup-simplify]: Simplify (- 0) into 0
7.138 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
7.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.138 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.138 * [taylor]: Taking taylor expansion of 1/2 in eps
7.138 * [backup-simplify]: Simplify 1/2 into 1/2
7.138 * [taylor]: Taking taylor expansion of eps in eps
7.138 * [backup-simplify]: Simplify 0 into 0
7.138 * [backup-simplify]: Simplify 1 into 1
7.138 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.139 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.139 * [backup-simplify]: Simplify 1 into 1
7.139 * [backup-simplify]: Simplify (+ 0) into 0
7.139 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0
7.140 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
7.140 * [backup-simplify]: Simplify (+ 2 0) into 2
7.140 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 eps)) into 1
7.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps))
7.141 * [backup-simplify]: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps)))
7.141 * [backup-simplify]: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps)))
7.141 * [taylor]: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps
7.141 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
7.141 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.141 * [taylor]: Taking taylor expansion of 1/2 in eps
7.141 * [backup-simplify]: Simplify 1/2 into 1/2
7.141 * [taylor]: Taking taylor expansion of eps in eps
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 1 into 1
7.141 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.142 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.142 * [backup-simplify]: Simplify (- 0) into 0
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify (+ 0) into 0
7.142 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
7.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 eps)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps))))
7.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
7.144 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 2) (* 0 eps))) into 0
7.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0
7.146 * [backup-simplify]: Simplify (- 0) into 0
7.146 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps))))
7.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps
7.146 * [taylor]: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps
7.146 * [taylor]: Taking taylor expansion of 1/2 in eps
7.146 * [backup-simplify]: Simplify 1/2 into 1/2
7.146 * [taylor]: Taking taylor expansion of (cos (* 1/2 eps)) in eps
7.146 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
7.146 * [taylor]: Taking taylor expansion of 1/2 in eps
7.146 * [backup-simplify]: Simplify 1/2 into 1/2
7.146 * [taylor]: Taking taylor expansion of eps in eps
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.147 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.147 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.147 * [backup-simplify]: Simplify -1/2 into -1/2
7.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
7.148 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.148 * [backup-simplify]: Simplify -1/2 into -1/2
7.148 * [backup-simplify]: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
7.149 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2))) (cos (/ (+ (/ 1 x) (+ (/ 1 x) (/ 1 eps))) 2)))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.149 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.149 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.149 * [taylor]: Taking taylor expansion of 1/2 in eps
7.149 * [backup-simplify]: Simplify 1/2 into 1/2
7.149 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.149 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.149 * [taylor]: Taking taylor expansion of eps in eps
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify 1 into 1
7.149 * [backup-simplify]: Simplify (/ 1 1) into 1
7.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.149 * [taylor]: Taking taylor expansion of 2 in eps
7.149 * [backup-simplify]: Simplify 2 into 2
7.149 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.149 * [taylor]: Taking taylor expansion of x in eps
7.149 * [backup-simplify]: Simplify x into x
7.149 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.150 * [backup-simplify]: Simplify (+ 1 0) into 1
7.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.150 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.150 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.150 * [taylor]: Taking taylor expansion of 1/2 in x
7.150 * [backup-simplify]: Simplify 1/2 into 1/2
7.150 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.150 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.150 * [taylor]: Taking taylor expansion of eps in x
7.150 * [backup-simplify]: Simplify eps into eps
7.150 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.150 * [taylor]: Taking taylor expansion of 2 in x
7.150 * [backup-simplify]: Simplify 2 into 2
7.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.150 * [taylor]: Taking taylor expansion of x in x
7.150 * [backup-simplify]: Simplify 0 into 0
7.150 * [backup-simplify]: Simplify 1 into 1
7.151 * [backup-simplify]: Simplify (/ 1 1) into 1
7.151 * [backup-simplify]: Simplify (* 2 1) into 2
7.151 * [backup-simplify]: Simplify (+ 0 2) into 2
7.151 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.151 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.152 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.152 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.152 * [taylor]: Taking taylor expansion of 1/2 in x
7.152 * [backup-simplify]: Simplify 1/2 into 1/2
7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.152 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.152 * [taylor]: Taking taylor expansion of eps in x
7.152 * [backup-simplify]: Simplify eps into eps
7.152 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.152 * [taylor]: Taking taylor expansion of 2 in x
7.152 * [backup-simplify]: Simplify 2 into 2
7.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.152 * [taylor]: Taking taylor expansion of x in x
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 1 into 1
7.152 * [backup-simplify]: Simplify (/ 1 1) into 1
7.152 * [backup-simplify]: Simplify (* 2 1) into 2
7.153 * [backup-simplify]: Simplify (+ 0 2) into 2
7.153 * [backup-simplify]: Simplify (* 1/2 2) into 1
7.153 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.153 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.153 * [taylor]: Taking taylor expansion of 1/2 in eps
7.153 * [backup-simplify]: Simplify 1/2 into 1/2
7.153 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.153 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.153 * [taylor]: Taking taylor expansion of eps in eps
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 1 into 1
7.153 * [backup-simplify]: Simplify (/ 1 1) into 1
7.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.153 * [taylor]: Taking taylor expansion of 2 in eps
7.153 * [backup-simplify]: Simplify 2 into 2
7.153 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.154 * [taylor]: Taking taylor expansion of x in eps
7.154 * [backup-simplify]: Simplify x into x
7.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.154 * [backup-simplify]: Simplify (+ 1 0) into 1
7.154 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.154 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.154 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.154 * [taylor]: Taking taylor expansion of 0 in eps
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [taylor]: Taking taylor expansion of 0 in eps
7.154 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [taylor]: Taking taylor expansion of 0 in eps
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.155 * [backup-simplify]: Simplify (cbrt (* (* (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2))) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- eps)))) 2)))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.155 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in (x eps) around 0
7.155 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.155 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.155 * [taylor]: Taking taylor expansion of -1/2 in eps
7.155 * [backup-simplify]: Simplify -1/2 into -1/2
7.155 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.155 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.155 * [taylor]: Taking taylor expansion of eps in eps
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.156 * [backup-simplify]: Simplify (/ 1 1) into 1
7.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.156 * [taylor]: Taking taylor expansion of 2 in eps
7.156 * [backup-simplify]: Simplify 2 into 2
7.156 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.156 * [taylor]: Taking taylor expansion of x in eps
7.156 * [backup-simplify]: Simplify x into x
7.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.156 * [backup-simplify]: Simplify (+ 1 0) into 1
7.156 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.157 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.157 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.157 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.157 * [taylor]: Taking taylor expansion of -1/2 in x
7.157 * [backup-simplify]: Simplify -1/2 into -1/2
7.157 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.157 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.157 * [taylor]: Taking taylor expansion of eps in x
7.157 * [backup-simplify]: Simplify eps into eps
7.157 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.157 * [taylor]: Taking taylor expansion of 2 in x
7.157 * [backup-simplify]: Simplify 2 into 2
7.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.157 * [taylor]: Taking taylor expansion of x in x
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.157 * [backup-simplify]: Simplify (/ 1 1) into 1
7.157 * [backup-simplify]: Simplify (* 2 1) into 2
7.158 * [backup-simplify]: Simplify (+ 0 2) into 2
7.158 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.158 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.158 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x
7.158 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x
7.158 * [taylor]: Taking taylor expansion of -1/2 in x
7.158 * [backup-simplify]: Simplify -1/2 into -1/2
7.158 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x
7.158 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
7.158 * [taylor]: Taking taylor expansion of eps in x
7.158 * [backup-simplify]: Simplify eps into eps
7.158 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
7.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
7.158 * [taylor]: Taking taylor expansion of 2 in x
7.158 * [backup-simplify]: Simplify 2 into 2
7.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.158 * [taylor]: Taking taylor expansion of x in x
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.159 * [backup-simplify]: Simplify (/ 1 1) into 1
7.159 * [backup-simplify]: Simplify (* 2 1) into 2
7.159 * [backup-simplify]: Simplify (+ 0 2) into 2
7.159 * [backup-simplify]: Simplify (* -1/2 2) into -1
7.160 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.160 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps
7.160 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps
7.160 * [taylor]: Taking taylor expansion of -1/2 in eps
7.160 * [backup-simplify]: Simplify -1/2 into -1/2
7.160 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps
7.160 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
7.160 * [taylor]: Taking taylor expansion of eps in eps
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 1 into 1
7.160 * [backup-simplify]: Simplify (/ 1 1) into 1
7.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in eps
7.160 * [taylor]: Taking taylor expansion of 2 in eps
7.160 * [backup-simplify]: Simplify 2 into 2
7.160 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
7.160 * [taylor]: Taking taylor expansion of x in eps
7.160 * [backup-simplify]: Simplify x into x
7.160 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.160 * [backup-simplify]: Simplify (+ 1 0) into 1
7.161 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
7.161 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.161 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))
7.161 * [taylor]: Taking taylor expansion of 0 in eps
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [taylor]: Taking taylor expansion of 0 in eps
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [taylor]: Taking taylor expansion of 0 in eps
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ (* 2 x) eps)))
7.161 * * * [progress]: simplifying candidates
7.162 * [simplify]: Simplifying:
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cos (/ (+ x (+ x eps)) 2)))
  (exp (cos (/ (+ x (+ x eps)) 2)))
  (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (sqrt (cos (/ (+ x (+ x eps)) 2)))
  (log (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (exp (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (cbrt (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))))
  (cbrt (cos (/ (+ x (+ x eps)) 2)))
  (cbrt (* (+ (cos (+ (/ (+ x (+ x eps)) 2) (/ (+ x (+ x eps)) 2))) (cos (- (/ (+ x (+ x eps)) 2) (/ (+ x (+ x eps)) 2)))) (cos (/ (+ x (+ x eps)) 2))))
  (cbrt 2)
  (* (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))) (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))))
  (cbrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (* (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2))))) (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (sqrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (sqrt (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/2 (pow x 2))))
  (cos (* 1/2 (+ (* 2 x) eps)))
  (cos (* 1/2 (+ (* 2 x) eps)))
7.163 * * [simplify]: iteration 0: 43 enodes
7.176 * * [simplify]: iteration 1: 81 enodes
7.210 * * [simplify]: iteration 2: 137 enodes
7.269 * * [simplify]: iteration 3: 384 enodes
7.456 * * [simplify]: iteration 4: 1040 enodes
8.381 * * [simplify]: iteration 5: 3259 enodes
9.552 * * [simplify]: iteration complete: 5005 enodes
9.552 * * [simplify]: Extracting #0: cost 11 inf + 0
9.552 * * [simplify]: Extracting #1: cost 39 inf + 0
9.555 * * [simplify]: Extracting #2: cost 627 inf + 86
9.572 * * [simplify]: Extracting #3: cost 1114 inf + 11838
9.602 * * [simplify]: Extracting #4: cost 505 inf + 69455
9.649 * * [simplify]: Extracting #5: cost 39 inf + 106966
9.700 * * [simplify]: Extracting #6: cost 4 inf + 113522
9.744 * * [simplify]: Extracting #7: cost 0 inf + 114559
9.769 * [simplify]: Simplified to:
  (log (cos (+ (* 1/2 eps) x)))
  (exp (cos (+ (* 1/2 eps) x)))
  (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (log (cos (+ (* 1/2 eps) x)))
  (exp (cos (+ (* 1/2 eps) x)))
  (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (log (cos (+ (* 1/2 eps) x)))
  (exp (cos (+ (* 1/2 eps) x)))
  (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (log (cos (+ (* 1/2 eps) x)))
  (exp (cos (+ (* 1/2 eps) x)))
  (cbrt (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (cbrt (+ (cos (+ (* 1/2 eps) x)) (* (cos (+ (* 1/2 eps) x)) (cos (+ (+ x eps) x)))))
  (cbrt 2)
  (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (- 1 (* (* (+ x eps) x) 1/2))
  (cos (+ (* 1/2 eps) x))
  (cos (+ (* 1/2 eps) x))
  (- 1 (* (* (+ x eps) x) 1/2))
  (cos (+ (* 1/2 eps) x))
  (cos (+ (* 1/2 eps) x))
  (- 1 (* (* (+ x eps) x) 1/2))
  (cos (+ (* 1/2 eps) x))
  (cos (+ (* 1/2 eps) x))
  (- 1 (* (* (+ x eps) x) 1/2))
  (cos (+ (* 1/2 eps) x))
  (cos (+ (* 1/2 eps) x))
9.774 * * * [progress]: adding candidates to table
10.043 * * [progress]: iteration 4 / 4
10.043 * * * [progress]: picking best candidate
10.098 * * * * [pick]: Picked  #<alt (λ (x eps) (* 2 (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))))>
10.098 * * * [progress]: localizing error
10.124 * * * [progress]: generating rewritten candidates
10.124 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
10.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
10.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
10.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
10.212 * * * [progress]: generating series expansions
10.212 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
10.213 * [backup-simplify]: Simplify (cos (+ (* 1/2 eps) x)) into (cos (+ x (* 1/2 eps)))
10.213 * [approximate]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in (eps x) around 0
10.213 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in x
10.213 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in x
10.213 * [taylor]: Taking taylor expansion of x in x
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.213 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
10.213 * [taylor]: Taking taylor expansion of 1/2 in x
10.213 * [backup-simplify]: Simplify 1/2 into 1/2
10.213 * [taylor]: Taking taylor expansion of eps in x
10.213 * [backup-simplify]: Simplify eps into eps
10.213 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
10.213 * [backup-simplify]: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps)
10.213 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
10.213 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
10.213 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.213 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.213 * [taylor]: Taking taylor expansion of x in eps
10.213 * [backup-simplify]: Simplify x into x
10.213 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.213 * [taylor]: Taking taylor expansion of 1/2 in eps
10.213 * [backup-simplify]: Simplify 1/2 into 1/2
10.213 * [taylor]: Taking taylor expansion of eps in eps
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.214 * [backup-simplify]: Simplify (+ x 0) into x
10.214 * [backup-simplify]: Simplify (cos x) into (cos x)
10.214 * [backup-simplify]: Simplify (sin x) into (sin x)
10.214 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.214 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.214 * [taylor]: Taking taylor expansion of x in eps
10.214 * [backup-simplify]: Simplify x into x
10.214 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.214 * [taylor]: Taking taylor expansion of 1/2 in eps
10.214 * [backup-simplify]: Simplify 1/2 into 1/2
10.214 * [taylor]: Taking taylor expansion of eps in eps
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.214 * [backup-simplify]: Simplify (+ x 0) into x
10.214 * [backup-simplify]: Simplify (cos x) into (cos x)
10.214 * [backup-simplify]: Simplify (sin x) into (sin x)
10.215 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
10.215 * [backup-simplify]: Simplify (* (sin x) 0) into 0
10.215 * [backup-simplify]: Simplify (- 0) into 0
10.215 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
10.215 * [taylor]: Taking taylor expansion of (cos x) in x
10.215 * [taylor]: Taking taylor expansion of x in x
10.215 * [backup-simplify]: Simplify 0 into 0
10.215 * [backup-simplify]: Simplify 1 into 1
10.215 * [backup-simplify]: Simplify 1 into 1
10.215 * [backup-simplify]: Simplify (+ 0) into 0
10.216 * [backup-simplify]: Simplify (+ (* (cos x) 0) (* 0 1)) into 0
10.216 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.216 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
10.217 * [backup-simplify]: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x))
10.217 * [backup-simplify]: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x)))
10.217 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x)))
10.217 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin x))) in x
10.217 * [taylor]: Taking taylor expansion of (* 1/2 (sin x)) in x
10.217 * [taylor]: Taking taylor expansion of 1/2 in x
10.217 * [backup-simplify]: Simplify 1/2 into 1/2
10.217 * [taylor]: Taking taylor expansion of (sin x) in x
10.217 * [taylor]: Taking taylor expansion of x in x
10.217 * [backup-simplify]: Simplify 0 into 0
10.217 * [backup-simplify]: Simplify 1 into 1
10.218 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.218 * [backup-simplify]: Simplify (- 0) into 0
10.218 * [backup-simplify]: Simplify 0 into 0
10.218 * [backup-simplify]: Simplify (+ 0) into 0
10.218 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
10.220 * [backup-simplify]: Simplify (+ (* (cos x) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x)))
10.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.221 * [backup-simplify]: Simplify (+ 0 0) into 0
10.221 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.222 * [backup-simplify]: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0
10.222 * [backup-simplify]: Simplify (- 0) into 0
10.222 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x)))
10.222 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos x))) in x
10.222 * [taylor]: Taking taylor expansion of (* 1/8 (cos x)) in x
10.222 * [taylor]: Taking taylor expansion of 1/8 in x
10.222 * [backup-simplify]: Simplify 1/8 into 1/8
10.222 * [taylor]: Taking taylor expansion of (cos x) in x
10.222 * [taylor]: Taking taylor expansion of x in x
10.222 * [backup-simplify]: Simplify 0 into 0
10.222 * [backup-simplify]: Simplify 1 into 1
10.223 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
10.223 * [backup-simplify]: Simplify (- 1/8) into -1/8
10.223 * [backup-simplify]: Simplify -1/8 into -1/8
10.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.224 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.224 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.224 * [backup-simplify]: Simplify -1/2 into -1/2
10.225 * [backup-simplify]: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/8 (pow eps 2))))
10.225 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.225 * [approximate]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in (eps x) around 0
10.225 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.225 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.225 * [taylor]: Taking taylor expansion of 1/2 in x
10.225 * [backup-simplify]: Simplify 1/2 into 1/2
10.225 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.225 * [taylor]: Taking taylor expansion of eps in x
10.225 * [backup-simplify]: Simplify eps into eps
10.225 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.225 * [taylor]: Taking taylor expansion of x in x
10.225 * [backup-simplify]: Simplify 0 into 0
10.225 * [backup-simplify]: Simplify 1 into 1
10.226 * [backup-simplify]: Simplify (/ 1 1) into 1
10.226 * [backup-simplify]: Simplify (+ 0 1) into 1
10.226 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.226 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.226 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.226 * [taylor]: Taking taylor expansion of 1/2 in eps
10.226 * [backup-simplify]: Simplify 1/2 into 1/2
10.226 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.226 * [taylor]: Taking taylor expansion of eps in eps
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (/ 1 1) into 1
10.227 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.227 * [taylor]: Taking taylor expansion of x in eps
10.227 * [backup-simplify]: Simplify x into x
10.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.227 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.227 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.228 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.228 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.228 * [taylor]: Taking taylor expansion of 1/2 in eps
10.228 * [backup-simplify]: Simplify 1/2 into 1/2
10.228 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.228 * [taylor]: Taking taylor expansion of eps in eps
10.228 * [backup-simplify]: Simplify 0 into 0
10.228 * [backup-simplify]: Simplify 1 into 1
10.228 * [backup-simplify]: Simplify (/ 1 1) into 1
10.228 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.228 * [taylor]: Taking taylor expansion of x in eps
10.228 * [backup-simplify]: Simplify x into x
10.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.229 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.229 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.229 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.229 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.229 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.229 * [taylor]: Taking taylor expansion of 1/2 in x
10.229 * [backup-simplify]: Simplify 1/2 into 1/2
10.229 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.229 * [taylor]: Taking taylor expansion of eps in x
10.229 * [backup-simplify]: Simplify eps into eps
10.229 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.229 * [taylor]: Taking taylor expansion of x in x
10.229 * [backup-simplify]: Simplify 0 into 0
10.229 * [backup-simplify]: Simplify 1 into 1
10.230 * [backup-simplify]: Simplify (/ 1 1) into 1
10.230 * [backup-simplify]: Simplify (+ 0 1) into 1
10.230 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.230 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.230 * [taylor]: Taking taylor expansion of 0 in x
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [taylor]: Taking taylor expansion of 0 in x
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [taylor]: Taking taylor expansion of 0 in x
10.230 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) into (cos (+ x (* 1/2 eps)))
10.231 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.231 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in (eps x) around 0
10.231 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.231 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.231 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.231 * [taylor]: Taking taylor expansion of 1/2 in x
10.231 * [backup-simplify]: Simplify 1/2 into 1/2
10.231 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.231 * [taylor]: Taking taylor expansion of eps in x
10.231 * [backup-simplify]: Simplify eps into eps
10.231 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.231 * [taylor]: Taking taylor expansion of x in x
10.231 * [backup-simplify]: Simplify 0 into 0
10.231 * [backup-simplify]: Simplify 1 into 1
10.231 * [backup-simplify]: Simplify (/ 1 1) into 1
10.232 * [backup-simplify]: Simplify (+ 0 1) into 1
10.232 * [backup-simplify]: Simplify (- 1) into -1
10.232 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.232 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.232 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.232 * [taylor]: Taking taylor expansion of 1/2 in eps
10.232 * [backup-simplify]: Simplify 1/2 into 1/2
10.232 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.232 * [taylor]: Taking taylor expansion of eps in eps
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify 1 into 1
10.232 * [backup-simplify]: Simplify (/ 1 1) into 1
10.233 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.233 * [taylor]: Taking taylor expansion of x in eps
10.233 * [backup-simplify]: Simplify x into x
10.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.233 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.233 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.233 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.234 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.234 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.234 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.234 * [taylor]: Taking taylor expansion of 1/2 in eps
10.234 * [backup-simplify]: Simplify 1/2 into 1/2
10.234 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.234 * [taylor]: Taking taylor expansion of eps in eps
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [backup-simplify]: Simplify (/ 1 1) into 1
10.234 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.234 * [taylor]: Taking taylor expansion of x in eps
10.234 * [backup-simplify]: Simplify x into x
10.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.235 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.235 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.235 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.235 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.235 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.235 * [taylor]: Taking taylor expansion of 1/2 in x
10.235 * [backup-simplify]: Simplify 1/2 into 1/2
10.235 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.235 * [taylor]: Taking taylor expansion of eps in x
10.235 * [backup-simplify]: Simplify eps into eps
10.235 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.235 * [taylor]: Taking taylor expansion of x in x
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.236 * [backup-simplify]: Simplify (/ 1 1) into 1
10.236 * [backup-simplify]: Simplify (+ 0 1) into 1
10.236 * [backup-simplify]: Simplify (- 1) into -1
10.236 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.237 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.237 * [taylor]: Taking taylor expansion of 0 in x
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [taylor]: Taking taylor expansion of 0 in x
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [taylor]: Taking taylor expansion of 0 in x
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))) into (cos (+ x (* 1/2 eps)))
10.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
10.237 * [backup-simplify]: Simplify (log (exp (cos (+ (* 1/2 eps) x)))) into (cos (+ x (* 1/2 eps)))
10.237 * [approximate]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in (eps x) around 0
10.237 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in x
10.237 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in x
10.237 * [taylor]: Taking taylor expansion of x in x
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.237 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
10.237 * [taylor]: Taking taylor expansion of 1/2 in x
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of eps in x
10.238 * [backup-simplify]: Simplify eps into eps
10.238 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
10.238 * [backup-simplify]: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps)
10.238 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
10.238 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
10.238 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.238 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.238 * [taylor]: Taking taylor expansion of x in eps
10.238 * [backup-simplify]: Simplify x into x
10.238 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.238 * [taylor]: Taking taylor expansion of 1/2 in eps
10.238 * [backup-simplify]: Simplify 1/2 into 1/2
10.238 * [taylor]: Taking taylor expansion of eps in eps
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 1 into 1
10.238 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.238 * [backup-simplify]: Simplify (+ x 0) into x
10.238 * [backup-simplify]: Simplify (cos x) into (cos x)
10.238 * [backup-simplify]: Simplify (sin x) into (sin x)
10.238 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.238 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.238 * [taylor]: Taking taylor expansion of x in eps
10.238 * [backup-simplify]: Simplify x into x
10.238 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.239 * [taylor]: Taking taylor expansion of 1/2 in eps
10.239 * [backup-simplify]: Simplify 1/2 into 1/2
10.239 * [taylor]: Taking taylor expansion of eps in eps
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 1 into 1
10.239 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.239 * [backup-simplify]: Simplify (+ x 0) into x
10.239 * [backup-simplify]: Simplify (cos x) into (cos x)
10.239 * [backup-simplify]: Simplify (sin x) into (sin x)
10.239 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
10.239 * [backup-simplify]: Simplify (* (sin x) 0) into 0
10.240 * [backup-simplify]: Simplify (- 0) into 0
10.240 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
10.240 * [taylor]: Taking taylor expansion of (cos x) in x
10.240 * [taylor]: Taking taylor expansion of x in x
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.240 * [backup-simplify]: Simplify 1 into 1
10.240 * [backup-simplify]: Simplify (+ 0) into 0
10.240 * [backup-simplify]: Simplify (+ (* (cos x) 0) (* 0 1)) into 0
10.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.241 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
10.242 * [backup-simplify]: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x))
10.242 * [backup-simplify]: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x)))
10.242 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x)))
10.242 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin x))) in x
10.242 * [taylor]: Taking taylor expansion of (* 1/2 (sin x)) in x
10.242 * [taylor]: Taking taylor expansion of 1/2 in x
10.242 * [backup-simplify]: Simplify 1/2 into 1/2
10.242 * [taylor]: Taking taylor expansion of (sin x) in x
10.242 * [taylor]: Taking taylor expansion of x in x
10.242 * [backup-simplify]: Simplify 0 into 0
10.242 * [backup-simplify]: Simplify 1 into 1
10.242 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.242 * [backup-simplify]: Simplify (- 0) into 0
10.242 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify (+ 0) into 0
10.243 * [backup-simplify]: Simplify 0 into 0
10.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
10.244 * [backup-simplify]: Simplify (+ (* (cos x) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x)))
10.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.245 * [backup-simplify]: Simplify (+ 0 0) into 0
10.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.245 * [backup-simplify]: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0
10.246 * [backup-simplify]: Simplify (- 0) into 0
10.246 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x)))
10.246 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos x))) in x
10.246 * [taylor]: Taking taylor expansion of (* 1/8 (cos x)) in x
10.246 * [taylor]: Taking taylor expansion of 1/8 in x
10.246 * [backup-simplify]: Simplify 1/8 into 1/8
10.246 * [taylor]: Taking taylor expansion of (cos x) in x
10.246 * [taylor]: Taking taylor expansion of x in x
10.246 * [backup-simplify]: Simplify 0 into 0
10.246 * [backup-simplify]: Simplify 1 into 1
10.246 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
10.246 * [backup-simplify]: Simplify (- 1/8) into -1/8
10.246 * [backup-simplify]: Simplify -1/8 into -1/8
10.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.247 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.247 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.247 * [backup-simplify]: Simplify -1/2 into -1/2
10.248 * [backup-simplify]: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* x eps)) (* 1/8 (pow eps 2))))
10.248 * [backup-simplify]: Simplify (log (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.248 * [approximate]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in (eps x) around 0
10.248 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.248 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.248 * [taylor]: Taking taylor expansion of 1/2 in x
10.248 * [backup-simplify]: Simplify 1/2 into 1/2
10.248 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.248 * [taylor]: Taking taylor expansion of eps in x
10.248 * [backup-simplify]: Simplify eps into eps
10.248 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.248 * [taylor]: Taking taylor expansion of x in x
10.248 * [backup-simplify]: Simplify 0 into 0
10.248 * [backup-simplify]: Simplify 1 into 1
10.248 * [backup-simplify]: Simplify (/ 1 1) into 1
10.249 * [backup-simplify]: Simplify (+ 0 1) into 1
10.249 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.249 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.249 * [taylor]: Taking taylor expansion of 1/2 in eps
10.249 * [backup-simplify]: Simplify 1/2 into 1/2
10.249 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.249 * [taylor]: Taking taylor expansion of eps in eps
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 1 into 1
10.249 * [backup-simplify]: Simplify (/ 1 1) into 1
10.249 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.249 * [taylor]: Taking taylor expansion of x in eps
10.249 * [backup-simplify]: Simplify x into x
10.249 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.250 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.250 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.250 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.250 * [taylor]: Taking taylor expansion of 1/2 in eps
10.250 * [backup-simplify]: Simplify 1/2 into 1/2
10.250 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.250 * [taylor]: Taking taylor expansion of eps in eps
10.250 * [backup-simplify]: Simplify 0 into 0
10.250 * [backup-simplify]: Simplify 1 into 1
10.250 * [backup-simplify]: Simplify (/ 1 1) into 1
10.250 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.250 * [taylor]: Taking taylor expansion of x in eps
10.250 * [backup-simplify]: Simplify x into x
10.250 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.251 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.251 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.251 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.251 * [taylor]: Taking taylor expansion of 1/2 in x
10.251 * [backup-simplify]: Simplify 1/2 into 1/2
10.251 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.251 * [taylor]: Taking taylor expansion of eps in x
10.251 * [backup-simplify]: Simplify eps into eps
10.251 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.251 * [taylor]: Taking taylor expansion of x in x
10.251 * [backup-simplify]: Simplify 0 into 0
10.251 * [backup-simplify]: Simplify 1 into 1
10.252 * [backup-simplify]: Simplify (/ 1 1) into 1
10.252 * [backup-simplify]: Simplify (+ 0 1) into 1
10.252 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.252 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.252 * [taylor]: Taking taylor expansion of 0 in x
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [taylor]: Taking taylor expansion of 0 in x
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [taylor]: Taking taylor expansion of 0 in x
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) into (cos (+ x (* 1/2 eps)))
10.253 * [backup-simplify]: Simplify (log (exp (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.253 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in (eps x) around 0
10.253 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.253 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.253 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.253 * [taylor]: Taking taylor expansion of 1/2 in x
10.253 * [backup-simplify]: Simplify 1/2 into 1/2
10.253 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.253 * [taylor]: Taking taylor expansion of eps in x
10.253 * [backup-simplify]: Simplify eps into eps
10.253 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.253 * [taylor]: Taking taylor expansion of x in x
10.253 * [backup-simplify]: Simplify 0 into 0
10.253 * [backup-simplify]: Simplify 1 into 1
10.253 * [backup-simplify]: Simplify (/ 1 1) into 1
10.253 * [backup-simplify]: Simplify (+ 0 1) into 1
10.254 * [backup-simplify]: Simplify (- 1) into -1
10.254 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.254 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.254 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.254 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.254 * [taylor]: Taking taylor expansion of 1/2 in eps
10.254 * [backup-simplify]: Simplify 1/2 into 1/2
10.254 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.254 * [taylor]: Taking taylor expansion of eps in eps
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 1 into 1
10.254 * [backup-simplify]: Simplify (/ 1 1) into 1
10.254 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.254 * [taylor]: Taking taylor expansion of x in eps
10.254 * [backup-simplify]: Simplify x into x
10.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.255 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.255 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.255 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.255 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.255 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.255 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.255 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.255 * [taylor]: Taking taylor expansion of 1/2 in eps
10.255 * [backup-simplify]: Simplify 1/2 into 1/2
10.255 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.255 * [taylor]: Taking taylor expansion of eps in eps
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 1 into 1
10.256 * [backup-simplify]: Simplify (/ 1 1) into 1
10.256 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.256 * [taylor]: Taking taylor expansion of x in eps
10.256 * [backup-simplify]: Simplify x into x
10.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.256 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.257 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.257 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.257 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.257 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.257 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.257 * [taylor]: Taking taylor expansion of 1/2 in x
10.257 * [backup-simplify]: Simplify 1/2 into 1/2
10.257 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.257 * [taylor]: Taking taylor expansion of eps in x
10.257 * [backup-simplify]: Simplify eps into eps
10.257 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.257 * [taylor]: Taking taylor expansion of x in x
10.257 * [backup-simplify]: Simplify 0 into 0
10.257 * [backup-simplify]: Simplify 1 into 1
10.257 * [backup-simplify]: Simplify (/ 1 1) into 1
10.258 * [backup-simplify]: Simplify (+ 0 1) into 1
10.258 * [backup-simplify]: Simplify (- 1) into -1
10.258 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.258 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.258 * [taylor]: Taking taylor expansion of 0 in x
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [taylor]: Taking taylor expansion of 0 in x
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [taylor]: Taking taylor expansion of 0 in x
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))) into (cos (+ x (* 1/2 eps)))
10.259 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
10.259 * [backup-simplify]: Simplify (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))) into (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))
10.259 * [approximate]: Taking taylor expansion of (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))) in (eps x) around 0
10.259 * [taylor]: Taking taylor expansion of (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))) in x
10.259 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in x
10.259 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in x
10.259 * [taylor]: Taking taylor expansion of x in x
10.259 * [backup-simplify]: Simplify 0 into 0
10.259 * [backup-simplify]: Simplify 1 into 1
10.259 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
10.259 * [taylor]: Taking taylor expansion of 1/2 in x
10.259 * [backup-simplify]: Simplify 1/2 into 1/2
10.259 * [taylor]: Taking taylor expansion of eps in x
10.259 * [backup-simplify]: Simplify eps into eps
10.259 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
10.259 * [backup-simplify]: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps)
10.259 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
10.259 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
10.259 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in x
10.259 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
10.259 * [taylor]: Taking taylor expansion of 1/2 in x
10.259 * [backup-simplify]: Simplify 1/2 into 1/2
10.259 * [taylor]: Taking taylor expansion of eps in x
10.259 * [backup-simplify]: Simplify eps into eps
10.259 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
10.259 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
10.259 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
10.259 * [taylor]: Taking taylor expansion of (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))) in eps
10.259 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.259 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.259 * [taylor]: Taking taylor expansion of x in eps
10.260 * [backup-simplify]: Simplify x into x
10.260 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.260 * [taylor]: Taking taylor expansion of 1/2 in eps
10.260 * [backup-simplify]: Simplify 1/2 into 1/2
10.260 * [taylor]: Taking taylor expansion of eps in eps
10.260 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.260 * [backup-simplify]: Simplify (+ x 0) into x
10.260 * [backup-simplify]: Simplify (cos x) into (cos x)
10.260 * [backup-simplify]: Simplify (sin x) into (sin x)
10.260 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
10.260 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.260 * [taylor]: Taking taylor expansion of 1/2 in eps
10.260 * [backup-simplify]: Simplify 1/2 into 1/2
10.260 * [taylor]: Taking taylor expansion of eps in eps
10.260 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.261 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.261 * [taylor]: Taking taylor expansion of (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))) in eps
10.261 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.261 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.261 * [taylor]: Taking taylor expansion of x in eps
10.261 * [backup-simplify]: Simplify x into x
10.261 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.261 * [taylor]: Taking taylor expansion of 1/2 in eps
10.261 * [backup-simplify]: Simplify 1/2 into 1/2
10.261 * [taylor]: Taking taylor expansion of eps in eps
10.261 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify 1 into 1
10.261 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.261 * [backup-simplify]: Simplify (+ x 0) into x
10.261 * [backup-simplify]: Simplify (cos x) into (cos x)
10.261 * [backup-simplify]: Simplify (sin x) into (sin x)
10.261 * [taylor]: Taking taylor expansion of (sin (* 1/2 eps)) in eps
10.261 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.261 * [taylor]: Taking taylor expansion of 1/2 in eps
10.261 * [backup-simplify]: Simplify 1/2 into 1/2
10.261 * [taylor]: Taking taylor expansion of eps in eps
10.261 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify 1 into 1
10.262 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.262 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
10.262 * [backup-simplify]: Simplify (* (sin x) 0) into 0
10.263 * [backup-simplify]: Simplify (- 0) into 0
10.263 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
10.263 * [backup-simplify]: Simplify (* (cos x) 0) into 0
10.263 * [taylor]: Taking taylor expansion of 0 in x
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify 0 into 0
10.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
10.263 * [backup-simplify]: Simplify (+ 0) into 0
10.264 * [backup-simplify]: Simplify (+ (* (cos x) 0) (* 0 1)) into 0
10.264 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.264 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
10.265 * [backup-simplify]: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x))
10.265 * [backup-simplify]: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x)))
10.265 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x)))
10.265 * [backup-simplify]: Simplify (+ (* (cos x) 1/2) (* (- (* 1/2 (sin x))) 0)) into (* 1/2 (cos x))
10.265 * [taylor]: Taking taylor expansion of (* 1/2 (cos x)) in x
10.265 * [taylor]: Taking taylor expansion of 1/2 in x
10.265 * [backup-simplify]: Simplify 1/2 into 1/2
10.265 * [taylor]: Taking taylor expansion of (cos x) in x
10.265 * [taylor]: Taking taylor expansion of x in x
10.265 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify 1 into 1
10.266 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.266 * [backup-simplify]: Simplify 1/2 into 1/2
10.266 * [backup-simplify]: Simplify 0 into 0
10.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
10.268 * [backup-simplify]: Simplify (+ (* (cos x) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x)))
10.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.269 * [backup-simplify]: Simplify (+ 0 0) into 0
10.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.269 * [backup-simplify]: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0
10.270 * [backup-simplify]: Simplify (- 0) into 0
10.270 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x)))
10.270 * [backup-simplify]: Simplify (+ (* (cos x) 0) (+ (* (- (* 1/2 (sin x))) 1/2) (* (- (* 1/8 (cos x))) 0))) into (- (* 1/4 (sin x)))
10.270 * [taylor]: Taking taylor expansion of (- (* 1/4 (sin x))) in x
10.270 * [taylor]: Taking taylor expansion of (* 1/4 (sin x)) in x
10.270 * [taylor]: Taking taylor expansion of 1/4 in x
10.270 * [backup-simplify]: Simplify 1/4 into 1/4
10.270 * [taylor]: Taking taylor expansion of (sin x) in x
10.270 * [taylor]: Taking taylor expansion of x in x
10.270 * [backup-simplify]: Simplify 0 into 0
10.270 * [backup-simplify]: Simplify 1 into 1
10.270 * [backup-simplify]: Simplify (* 1/4 0) into 0
10.271 * [backup-simplify]: Simplify (- 0) into 0
10.271 * [backup-simplify]: Simplify 0 into 0
10.271 * [backup-simplify]: Simplify (+ 0) into 0
10.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
10.271 * [backup-simplify]: Simplify 0 into 0
10.271 * [backup-simplify]: Simplify 0 into 0
10.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
10.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.275 * [backup-simplify]: Simplify (+ (* (cos x) 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 1)))) into 0
10.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.275 * [backup-simplify]: Simplify (+ 0 0) into 0
10.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/48
10.277 * [backup-simplify]: Simplify (+ (* (sin x) -1/48) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x)))
10.277 * [backup-simplify]: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x))
10.277 * [backup-simplify]: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x))
10.277 * [backup-simplify]: Simplify (+ (* (cos x) -1/48) (+ (* (- (* 1/2 (sin x))) 0) (+ (* (- (* 1/8 (cos x))) 1/2) (* (* 1/48 (sin x)) 0)))) into (- (* 1/12 (cos x)))
10.277 * [taylor]: Taking taylor expansion of (- (* 1/12 (cos x))) in x
10.277 * [taylor]: Taking taylor expansion of (* 1/12 (cos x)) in x
10.277 * [taylor]: Taking taylor expansion of 1/12 in x
10.277 * [backup-simplify]: Simplify 1/12 into 1/12
10.277 * [taylor]: Taking taylor expansion of (cos x) in x
10.277 * [taylor]: Taking taylor expansion of x in x
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 1 into 1
10.278 * [backup-simplify]: Simplify (* 1/12 1) into 1/12
10.278 * [backup-simplify]: Simplify (- 1/12) into -1/12
10.278 * [backup-simplify]: Simplify -1/12 into -1/12
10.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.279 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4
10.279 * [backup-simplify]: Simplify (- 1/4) into -1/4
10.279 * [backup-simplify]: Simplify -1/4 into -1/4
10.279 * [backup-simplify]: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* x (pow eps 2)))))
10.280 * [backup-simplify]: Simplify (* (log (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (sin (* 1/2 (/ 1 eps)))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))
10.280 * [approximate]: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in (eps x) around 0
10.280 * [taylor]: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in x
10.280 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.280 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.280 * [taylor]: Taking taylor expansion of 1/2 in x
10.280 * [backup-simplify]: Simplify 1/2 into 1/2
10.280 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.280 * [taylor]: Taking taylor expansion of eps in x
10.280 * [backup-simplify]: Simplify eps into eps
10.280 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.280 * [taylor]: Taking taylor expansion of x in x
10.280 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify 1 into 1
10.280 * [backup-simplify]: Simplify (/ 1 1) into 1
10.280 * [backup-simplify]: Simplify (+ 0 1) into 1
10.281 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.281 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
10.281 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
10.281 * [taylor]: Taking taylor expansion of 1/2 in x
10.281 * [backup-simplify]: Simplify 1/2 into 1/2
10.281 * [taylor]: Taking taylor expansion of eps in x
10.281 * [backup-simplify]: Simplify eps into eps
10.281 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
10.281 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
10.281 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
10.281 * [taylor]: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in eps
10.281 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.281 * [taylor]: Taking taylor expansion of 1/2 in eps
10.281 * [backup-simplify]: Simplify 1/2 into 1/2
10.281 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.281 * [taylor]: Taking taylor expansion of eps in eps
10.281 * [backup-simplify]: Simplify 0 into 0
10.281 * [backup-simplify]: Simplify 1 into 1
10.281 * [backup-simplify]: Simplify (/ 1 1) into 1
10.281 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.281 * [taylor]: Taking taylor expansion of x in eps
10.281 * [backup-simplify]: Simplify x into x
10.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.282 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.282 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.282 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
10.282 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
10.282 * [taylor]: Taking taylor expansion of 1/2 in eps
10.282 * [backup-simplify]: Simplify 1/2 into 1/2
10.282 * [taylor]: Taking taylor expansion of eps in eps
10.282 * [backup-simplify]: Simplify 0 into 0
10.282 * [backup-simplify]: Simplify 1 into 1
10.282 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.282 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
10.282 * [taylor]: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in eps
10.282 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.282 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.282 * [taylor]: Taking taylor expansion of 1/2 in eps
10.282 * [backup-simplify]: Simplify 1/2 into 1/2
10.282 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.282 * [taylor]: Taking taylor expansion of eps in eps
10.282 * [backup-simplify]: Simplify 0 into 0
10.283 * [backup-simplify]: Simplify 1 into 1
10.283 * [backup-simplify]: Simplify (/ 1 1) into 1
10.283 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.283 * [taylor]: Taking taylor expansion of x in eps
10.283 * [backup-simplify]: Simplify x into x
10.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.283 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.283 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in eps
10.283 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in eps
10.284 * [taylor]: Taking taylor expansion of 1/2 in eps
10.284 * [backup-simplify]: Simplify 1/2 into 1/2
10.284 * [taylor]: Taking taylor expansion of eps in eps
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 1 into 1
10.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.284 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
10.284 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))
10.284 * [taylor]: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in x
10.284 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.284 * [taylor]: Taking taylor expansion of 1/2 in x
10.284 * [backup-simplify]: Simplify 1/2 into 1/2
10.284 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.284 * [taylor]: Taking taylor expansion of eps in x
10.284 * [backup-simplify]: Simplify eps into eps
10.284 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.284 * [taylor]: Taking taylor expansion of x in x
10.284 * [backup-simplify]: Simplify 0 into 0
10.284 * [backup-simplify]: Simplify 1 into 1
10.285 * [backup-simplify]: Simplify (/ 1 1) into 1
10.285 * [backup-simplify]: Simplify (+ 0 1) into 1
10.285 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.285 * [taylor]: Taking taylor expansion of (sin (/ 1/2 eps)) in x
10.285 * [taylor]: Taking taylor expansion of (/ 1/2 eps) in x
10.285 * [taylor]: Taking taylor expansion of 1/2 in x
10.285 * [backup-simplify]: Simplify 1/2 into 1/2
10.285 * [taylor]: Taking taylor expansion of eps in x
10.285 * [backup-simplify]: Simplify eps into eps
10.285 * [backup-simplify]: Simplify (/ 1/2 eps) into (/ 1/2 eps)
10.285 * [backup-simplify]: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps))
10.285 * [backup-simplify]: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps))
10.285 * [backup-simplify]: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps))
10.285 * [backup-simplify]: Simplify (* (cos (/ 1/2 eps)) 0) into 0
10.285 * [backup-simplify]: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps))
10.285 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))
10.286 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))
10.286 * [backup-simplify]: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
10.286 * [taylor]: Taking taylor expansion of 0 in x
10.286 * [backup-simplify]: Simplify 0 into 0
10.286 * [backup-simplify]: Simplify 0 into 0
10.286 * [backup-simplify]: Simplify (+ 0) into 0
10.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0
10.287 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0
10.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0
10.288 * [backup-simplify]: Simplify (+ 0 0) into 0
10.288 * [backup-simplify]: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (* 0 (sin (/ 1/2 eps)))) into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
10.288 * [taylor]: Taking taylor expansion of 0 in x
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.288 * [backup-simplify]: Simplify 0 into 0
10.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
10.290 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
10.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
10.291 * [backup-simplify]: Simplify (+ 0 0) into 0
10.291 * [backup-simplify]: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0
10.291 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) into 0
10.292 * [taylor]: Taking taylor expansion of 0 in x
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify 0 into 0
10.292 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))
10.292 * [backup-simplify]: Simplify (* (log (exp (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))))) (sin (* 1/2 (/ 1 (- eps))))) into (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.292 * [approximate]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in (eps x) around 0
10.292 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in x
10.292 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
10.292 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
10.292 * [taylor]: Taking taylor expansion of -1/2 in x
10.292 * [backup-simplify]: Simplify -1/2 into -1/2
10.292 * [taylor]: Taking taylor expansion of eps in x
10.292 * [backup-simplify]: Simplify eps into eps
10.292 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
10.292 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
10.292 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
10.292 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.292 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.292 * [taylor]: Taking taylor expansion of 1/2 in x
10.292 * [backup-simplify]: Simplify 1/2 into 1/2
10.292 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.293 * [taylor]: Taking taylor expansion of eps in x
10.293 * [backup-simplify]: Simplify eps into eps
10.293 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.293 * [taylor]: Taking taylor expansion of x in x
10.293 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 1 into 1
10.293 * [backup-simplify]: Simplify (/ 1 1) into 1
10.293 * [backup-simplify]: Simplify (+ 0 1) into 1
10.293 * [backup-simplify]: Simplify (- 1) into -1
10.294 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.294 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps
10.294 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
10.294 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
10.294 * [taylor]: Taking taylor expansion of -1/2 in eps
10.294 * [backup-simplify]: Simplify -1/2 into -1/2
10.294 * [taylor]: Taking taylor expansion of eps in eps
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify 1 into 1
10.294 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.294 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
10.294 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.294 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.294 * [taylor]: Taking taylor expansion of 1/2 in eps
10.294 * [backup-simplify]: Simplify 1/2 into 1/2
10.294 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.294 * [taylor]: Taking taylor expansion of eps in eps
10.294 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify 1 into 1
10.294 * [backup-simplify]: Simplify (/ 1 1) into 1
10.294 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.294 * [taylor]: Taking taylor expansion of x in eps
10.294 * [backup-simplify]: Simplify x into x
10.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.295 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.295 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.295 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.295 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps
10.295 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in eps
10.295 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in eps
10.295 * [taylor]: Taking taylor expansion of -1/2 in eps
10.296 * [backup-simplify]: Simplify -1/2 into -1/2
10.296 * [taylor]: Taking taylor expansion of eps in eps
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 1 into 1
10.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
10.296 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
10.296 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.296 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.296 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.296 * [taylor]: Taking taylor expansion of 1/2 in eps
10.296 * [backup-simplify]: Simplify 1/2 into 1/2
10.296 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.296 * [taylor]: Taking taylor expansion of eps in eps
10.296 * [backup-simplify]: Simplify 0 into 0
10.296 * [backup-simplify]: Simplify 1 into 1
10.300 * [backup-simplify]: Simplify (/ 1 1) into 1
10.300 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.300 * [taylor]: Taking taylor expansion of x in eps
10.300 * [backup-simplify]: Simplify x into x
10.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.300 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.301 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.301 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.301 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.301 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in x
10.302 * [taylor]: Taking taylor expansion of (sin (/ -1/2 eps)) in x
10.302 * [taylor]: Taking taylor expansion of (/ -1/2 eps) in x
10.302 * [taylor]: Taking taylor expansion of -1/2 in x
10.302 * [backup-simplify]: Simplify -1/2 into -1/2
10.302 * [taylor]: Taking taylor expansion of eps in x
10.302 * [backup-simplify]: Simplify eps into eps
10.302 * [backup-simplify]: Simplify (/ -1/2 eps) into (/ -1/2 eps)
10.302 * [backup-simplify]: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps))
10.302 * [backup-simplify]: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps))
10.302 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.302 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.302 * [taylor]: Taking taylor expansion of 1/2 in x
10.302 * [backup-simplify]: Simplify 1/2 into 1/2
10.302 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.302 * [taylor]: Taking taylor expansion of eps in x
10.302 * [backup-simplify]: Simplify eps into eps
10.302 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.302 * [taylor]: Taking taylor expansion of x in x
10.302 * [backup-simplify]: Simplify 0 into 0
10.302 * [backup-simplify]: Simplify 1 into 1
10.302 * [backup-simplify]: Simplify (/ 1 1) into 1
10.302 * [backup-simplify]: Simplify (+ 0 1) into 1
10.303 * [backup-simplify]: Simplify (- 1) into -1
10.303 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps))
10.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 eps)) 0) into 0
10.303 * [backup-simplify]: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps))
10.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0
10.304 * [taylor]: Taking taylor expansion of 0 in x
10.304 * [backup-simplify]: Simplify 0 into 0
10.304 * [backup-simplify]: Simplify 0 into 0
10.304 * [backup-simplify]: Simplify (+ 0) into 0
10.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0
10.304 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0
10.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0
10.305 * [backup-simplify]: Simplify (+ 0 0) into 0
10.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) into 0
10.306 * [taylor]: Taking taylor expansion of 0 in x
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.306 * [backup-simplify]: Simplify 0 into 0
10.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0
10.307 * [backup-simplify]: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0
10.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0
10.308 * [backup-simplify]: Simplify (+ 0 0) into 0
10.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) into 0
10.309 * [backup-simplify]: Simplify 0 into 0
10.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))))) into 0
10.309 * [taylor]: Taking taylor expansion of 0 in x
10.309 * [backup-simplify]: Simplify 0 into 0
10.309 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify (* (sin (/ -1/2 (/ 1 (- eps)))) (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x))))))) into (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))
10.310 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
10.310 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 eps) x))) into (exp (cos (+ x (* 1/2 eps))))
10.310 * [approximate]: Taking taylor expansion of (exp (cos (+ x (* 1/2 eps)))) in (eps x) around 0
10.310 * [taylor]: Taking taylor expansion of (exp (cos (+ x (* 1/2 eps)))) in x
10.310 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in x
10.310 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in x
10.310 * [taylor]: Taking taylor expansion of x in x
10.310 * [backup-simplify]: Simplify 0 into 0
10.310 * [backup-simplify]: Simplify 1 into 1
10.310 * [taylor]: Taking taylor expansion of (* 1/2 eps) in x
10.310 * [taylor]: Taking taylor expansion of 1/2 in x
10.310 * [backup-simplify]: Simplify 1/2 into 1/2
10.310 * [taylor]: Taking taylor expansion of eps in x
10.310 * [backup-simplify]: Simplify eps into eps
10.310 * [backup-simplify]: Simplify (* 1/2 eps) into (* 1/2 eps)
10.310 * [backup-simplify]: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps)
10.310 * [backup-simplify]: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps))
10.310 * [backup-simplify]: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps))
10.310 * [backup-simplify]: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps))
10.310 * [backup-simplify]: Simplify (* (sin (* 1/2 eps)) 0) into 0
10.310 * [backup-simplify]: Simplify (- 0) into 0
10.311 * [backup-simplify]: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps))
10.311 * [backup-simplify]: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps)))
10.311 * [taylor]: Taking taylor expansion of (exp (cos (+ x (* 1/2 eps)))) in eps
10.311 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.311 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.311 * [taylor]: Taking taylor expansion of x in eps
10.311 * [backup-simplify]: Simplify x into x
10.311 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.311 * [taylor]: Taking taylor expansion of 1/2 in eps
10.311 * [backup-simplify]: Simplify 1/2 into 1/2
10.311 * [taylor]: Taking taylor expansion of eps in eps
10.311 * [backup-simplify]: Simplify 0 into 0
10.311 * [backup-simplify]: Simplify 1 into 1
10.311 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.311 * [backup-simplify]: Simplify (+ x 0) into x
10.311 * [backup-simplify]: Simplify (cos x) into (cos x)
10.311 * [backup-simplify]: Simplify (sin x) into (sin x)
10.311 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
10.311 * [backup-simplify]: Simplify (* (sin x) 0) into 0
10.311 * [backup-simplify]: Simplify (- 0) into 0
10.311 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
10.312 * [backup-simplify]: Simplify (exp (cos x)) into (exp (cos x))
10.312 * [taylor]: Taking taylor expansion of (exp (cos (+ x (* 1/2 eps)))) in eps
10.312 * [taylor]: Taking taylor expansion of (cos (+ x (* 1/2 eps))) in eps
10.312 * [taylor]: Taking taylor expansion of (+ x (* 1/2 eps)) in eps
10.312 * [taylor]: Taking taylor expansion of x in eps
10.312 * [backup-simplify]: Simplify x into x
10.312 * [taylor]: Taking taylor expansion of (* 1/2 eps) in eps
10.312 * [taylor]: Taking taylor expansion of 1/2 in eps
10.312 * [backup-simplify]: Simplify 1/2 into 1/2
10.312 * [taylor]: Taking taylor expansion of eps in eps
10.312 * [backup-simplify]: Simplify 0 into 0
10.312 * [backup-simplify]: Simplify 1 into 1
10.312 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.312 * [backup-simplify]: Simplify (+ x 0) into x
10.312 * [backup-simplify]: Simplify (cos x) into (cos x)
10.312 * [backup-simplify]: Simplify (sin x) into (sin x)
10.312 * [backup-simplify]: Simplify (* (cos x) 1) into (cos x)
10.312 * [backup-simplify]: Simplify (* (sin x) 0) into 0
10.312 * [backup-simplify]: Simplify (- 0) into 0
10.312 * [backup-simplify]: Simplify (+ (cos x) 0) into (cos x)
10.313 * [backup-simplify]: Simplify (exp (cos x)) into (exp (cos x))
10.313 * [taylor]: Taking taylor expansion of (exp (cos x)) in x
10.313 * [taylor]: Taking taylor expansion of (cos x) in x
10.313 * [taylor]: Taking taylor expansion of x in x
10.313 * [backup-simplify]: Simplify 0 into 0
10.313 * [backup-simplify]: Simplify 1 into 1
10.313 * [backup-simplify]: Simplify (exp 1) into E
10.313 * [backup-simplify]: Simplify E into E
10.313 * [backup-simplify]: Simplify (+ 0) into 0
10.313 * [backup-simplify]: Simplify (+ (* (cos x) 0) (* 0 1)) into 0
10.314 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.314 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
10.316 * [backup-simplify]: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x))
10.316 * [backup-simplify]: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x)))
10.316 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x)))
10.316 * [backup-simplify]: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 1) 1)))) into (* -1/2 (* (sin x) (exp (cos x))))
10.316 * [taylor]: Taking taylor expansion of (* -1/2 (* (sin x) (exp (cos x)))) in x
10.316 * [taylor]: Taking taylor expansion of -1/2 in x
10.316 * [backup-simplify]: Simplify -1/2 into -1/2
10.316 * [taylor]: Taking taylor expansion of (* (sin x) (exp (cos x))) in x
10.316 * [taylor]: Taking taylor expansion of (sin x) in x
10.316 * [taylor]: Taking taylor expansion of x in x
10.316 * [backup-simplify]: Simplify 0 into 0
10.316 * [backup-simplify]: Simplify 1 into 1
10.316 * [taylor]: Taking taylor expansion of (exp (cos x)) in x
10.316 * [taylor]: Taking taylor expansion of (cos x) in x
10.316 * [taylor]: Taking taylor expansion of x in x
10.316 * [backup-simplify]: Simplify 0 into 0
10.317 * [backup-simplify]: Simplify 1 into 1
10.317 * [backup-simplify]: Simplify (exp 1) into E
10.317 * [backup-simplify]: Simplify (* 0 E) into 0
10.317 * [backup-simplify]: Simplify (* -1/2 0) into 0
10.318 * [backup-simplify]: Simplify 0 into 0
10.318 * [backup-simplify]: Simplify (+ 0) into 0
10.319 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0
10.319 * [backup-simplify]: Simplify 0 into 0
10.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
10.321 * [backup-simplify]: Simplify (+ (* (cos x) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x)))
10.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.322 * [backup-simplify]: Simplify (+ 0 0) into 0
10.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.323 * [backup-simplify]: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0
10.324 * [backup-simplify]: Simplify (- 0) into 0
10.324 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x)))
10.324 * [backup-simplify]: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 2) 2)) (* (/ (pow (- (* 1/8 (cos x))) 1) 1)))) into (* (- (* 1/8 (pow (sin x) 2)) (* 1/8 (cos x))) (exp (cos x)))
10.325 * [taylor]: Taking taylor expansion of (* (- (* 1/8 (pow (sin x) 2)) (* 1/8 (cos x))) (exp (cos x))) in x
10.325 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow (sin x) 2)) (* 1/8 (cos x))) in x
10.325 * [taylor]: Taking taylor expansion of (* 1/8 (pow (sin x) 2)) in x
10.325 * [taylor]: Taking taylor expansion of 1/8 in x
10.325 * [backup-simplify]: Simplify 1/8 into 1/8
10.325 * [taylor]: Taking taylor expansion of (pow (sin x) 2) in x
10.325 * [taylor]: Taking taylor expansion of (sin x) in x
10.325 * [taylor]: Taking taylor expansion of x in x
10.325 * [backup-simplify]: Simplify 0 into 0
10.325 * [backup-simplify]: Simplify 1 into 1
10.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.326 * [taylor]: Taking taylor expansion of (* 1/8 (cos x)) in x
10.326 * [taylor]: Taking taylor expansion of 1/8 in x
10.326 * [backup-simplify]: Simplify 1/8 into 1/8
10.326 * [taylor]: Taking taylor expansion of (cos x) in x
10.326 * [taylor]: Taking taylor expansion of x in x
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.326 * [taylor]: Taking taylor expansion of (exp (cos x)) in x
10.326 * [taylor]: Taking taylor expansion of (cos x) in x
10.326 * [taylor]: Taking taylor expansion of x in x
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 1 into 1
10.326 * [backup-simplify]: Simplify (exp 1) into E
10.326 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
10.327 * [backup-simplify]: Simplify (- 1/8) into -1/8
10.327 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8
10.328 * [backup-simplify]: Simplify (* -1/8 E) into (* -1/8 E)
10.328 * [backup-simplify]: Simplify (* -1/8 E) into (* -1/8 E)
10.329 * [backup-simplify]: Simplify (+ 0) into 0
10.330 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0
10.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 E)) into E
10.334 * [backup-simplify]: Simplify (+ (* -1/2 E) (* 0 0)) into (- (* 1/2 E))
10.335 * [backup-simplify]: Simplify (- (* 1/2 E)) into (- (* 1/2 E))
10.336 * [backup-simplify]: Simplify (+ (* (- (* 1/2 E)) (* x eps)) (+ (* (* -1/8 E) (pow (* 1 eps) 2)) E)) into (- E (+ (* 1/8 (* E (pow eps 2))) (* 1/2 (* x (* E eps)))))
10.337 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.337 * [approximate]: Taking taylor expansion of (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in (eps x) around 0
10.337 * [taylor]: Taking taylor expansion of (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.337 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.337 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.337 * [taylor]: Taking taylor expansion of 1/2 in x
10.337 * [backup-simplify]: Simplify 1/2 into 1/2
10.337 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.337 * [taylor]: Taking taylor expansion of eps in x
10.337 * [backup-simplify]: Simplify eps into eps
10.337 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.337 * [taylor]: Taking taylor expansion of x in x
10.337 * [backup-simplify]: Simplify 0 into 0
10.337 * [backup-simplify]: Simplify 1 into 1
10.338 * [backup-simplify]: Simplify (/ 1 1) into 1
10.338 * [backup-simplify]: Simplify (+ 0 1) into 1
10.338 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.338 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.338 * [taylor]: Taking taylor expansion of (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.338 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.339 * [taylor]: Taking taylor expansion of 1/2 in eps
10.339 * [backup-simplify]: Simplify 1/2 into 1/2
10.339 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.339 * [taylor]: Taking taylor expansion of eps in eps
10.339 * [backup-simplify]: Simplify 0 into 0
10.339 * [backup-simplify]: Simplify 1 into 1
10.339 * [backup-simplify]: Simplify (/ 1 1) into 1
10.339 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.339 * [taylor]: Taking taylor expansion of x in eps
10.339 * [backup-simplify]: Simplify x into x
10.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.340 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.341 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.341 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.341 * [taylor]: Taking taylor expansion of (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.341 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.341 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.341 * [taylor]: Taking taylor expansion of 1/2 in eps
10.341 * [backup-simplify]: Simplify 1/2 into 1/2
10.341 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.341 * [taylor]: Taking taylor expansion of eps in eps
10.341 * [backup-simplify]: Simplify 0 into 0
10.341 * [backup-simplify]: Simplify 1 into 1
10.341 * [backup-simplify]: Simplify (/ 1 1) into 1
10.341 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.342 * [taylor]: Taking taylor expansion of x in eps
10.342 * [backup-simplify]: Simplify x into x
10.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.342 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.342 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.343 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.343 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.343 * [taylor]: Taking taylor expansion of (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.343 * [taylor]: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.343 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.343 * [taylor]: Taking taylor expansion of 1/2 in x
10.343 * [backup-simplify]: Simplify 1/2 into 1/2
10.343 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.343 * [taylor]: Taking taylor expansion of eps in x
10.343 * [backup-simplify]: Simplify eps into eps
10.343 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.343 * [taylor]: Taking taylor expansion of x in x
10.343 * [backup-simplify]: Simplify 0 into 0
10.343 * [backup-simplify]: Simplify 1 into 1
10.344 * [backup-simplify]: Simplify (/ 1 1) into 1
10.344 * [backup-simplify]: Simplify (+ 0 1) into 1
10.344 * [backup-simplify]: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))
10.344 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.345 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.346 * [backup-simplify]: Simplify (* (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.346 * [taylor]: Taking taylor expansion of 0 in x
10.346 * [backup-simplify]: Simplify 0 into 0
10.346 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify (* (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.347 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify (* (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.348 * [taylor]: Taking taylor expansion of 0 in x
10.348 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify 0 into 0
10.350 * [backup-simplify]: Simplify (* (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.350 * [backup-simplify]: Simplify 0 into 0
10.352 * [backup-simplify]: Simplify (* (exp (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.352 * [taylor]: Taking taylor expansion of 0 in x
10.352 * [backup-simplify]: Simplify 0 into 0
10.352 * [backup-simplify]: Simplify 0 into 0
10.352 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x))))) into (exp (cos (+ x (* 1/2 eps))))
10.352 * [backup-simplify]: Simplify (exp (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.352 * [approximate]: Taking taylor expansion of (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in (eps x) around 0
10.352 * [taylor]: Taking taylor expansion of (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in x
10.352 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.352 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.352 * [taylor]: Taking taylor expansion of 1/2 in x
10.352 * [backup-simplify]: Simplify 1/2 into 1/2
10.352 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.352 * [taylor]: Taking taylor expansion of eps in x
10.353 * [backup-simplify]: Simplify eps into eps
10.353 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.353 * [taylor]: Taking taylor expansion of x in x
10.353 * [backup-simplify]: Simplify 0 into 0
10.353 * [backup-simplify]: Simplify 1 into 1
10.353 * [backup-simplify]: Simplify (/ 1 1) into 1
10.354 * [backup-simplify]: Simplify (+ 0 1) into 1
10.354 * [backup-simplify]: Simplify (- 1) into -1
10.354 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.354 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.354 * [taylor]: Taking taylor expansion of (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps
10.354 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.354 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.355 * [taylor]: Taking taylor expansion of 1/2 in eps
10.355 * [backup-simplify]: Simplify 1/2 into 1/2
10.355 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.355 * [taylor]: Taking taylor expansion of eps in eps
10.355 * [backup-simplify]: Simplify 0 into 0
10.355 * [backup-simplify]: Simplify 1 into 1
10.355 * [backup-simplify]: Simplify (/ 1 1) into 1
10.355 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.355 * [taylor]: Taking taylor expansion of x in eps
10.355 * [backup-simplify]: Simplify x into x
10.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.356 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.356 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.356 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.357 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.357 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.357 * [taylor]: Taking taylor expansion of (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps
10.357 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps
10.357 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps
10.357 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps
10.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps
10.357 * [taylor]: Taking taylor expansion of 1/2 in eps
10.357 * [backup-simplify]: Simplify 1/2 into 1/2
10.357 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps
10.357 * [taylor]: Taking taylor expansion of eps in eps
10.357 * [backup-simplify]: Simplify 0 into 0
10.357 * [backup-simplify]: Simplify 1 into 1
10.357 * [backup-simplify]: Simplify (/ 1 1) into 1
10.358 * [taylor]: Taking taylor expansion of (/ 1 x) in eps
10.358 * [taylor]: Taking taylor expansion of x in eps
10.358 * [backup-simplify]: Simplify x into x
10.358 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.358 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.358 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.358 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.358 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.359 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.359 * [taylor]: Taking taylor expansion of (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in x
10.359 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x
10.359 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x
10.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x
10.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x
10.359 * [taylor]: Taking taylor expansion of 1/2 in x
10.359 * [backup-simplify]: Simplify 1/2 into 1/2
10.359 * [taylor]: Taking taylor expansion of (/ 1 eps) in x
10.359 * [taylor]: Taking taylor expansion of eps in x
10.359 * [backup-simplify]: Simplify eps into eps
10.359 * [backup-simplify]: Simplify (/ 1 eps) into (/ 1 eps)
10.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.359 * [taylor]: Taking taylor expansion of x in x
10.359 * [backup-simplify]: Simplify 0 into 0
10.359 * [backup-simplify]: Simplify 1 into 1
10.359 * [backup-simplify]: Simplify (/ 1 1) into 1
10.359 * [backup-simplify]: Simplify (+ 0 1) into 1
10.360 * [backup-simplify]: Simplify (- 1) into -1
10.360 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))
10.360 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.360 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))
10.361 * [backup-simplify]: Simplify (* (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.361 * [taylor]: Taking taylor expansion of 0 in x
10.361 * [backup-simplify]: Simplify 0 into 0
10.361 * [backup-simplify]: Simplify 0 into 0
10.361 * [backup-simplify]: Simplify (* (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.361 * [backup-simplify]: Simplify 0 into 0
10.362 * [backup-simplify]: Simplify (* (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.362 * [taylor]: Taking taylor expansion of 0 in x
10.362 * [backup-simplify]: Simplify 0 into 0
10.362 * [backup-simplify]: Simplify 0 into 0
10.362 * [backup-simplify]: Simplify 0 into 0
10.363 * [backup-simplify]: Simplify (* (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.363 * [backup-simplify]: Simplify 0 into 0
10.365 * [backup-simplify]: Simplify (* (exp (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.365 * [taylor]: Taking taylor expansion of 0 in x
10.365 * [backup-simplify]: Simplify 0 into 0
10.365 * [backup-simplify]: Simplify 0 into 0
10.365 * [backup-simplify]: Simplify (exp (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x))))))) into (exp (cos (+ x (* 1/2 eps))))
10.365 * * * [progress]: simplifying candidates
10.367 * [simplify]: Simplifying:
  (* (cos (* 1/2 eps)) (cos x))
  (* (sin (* 1/2 eps)) (sin x))
  (log (cos (+ (* 1/2 eps) x)))
  (exp (cos (+ (* 1/2 eps) x)))
  (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))
  (cbrt (cos (+ (* 1/2 eps) x)))
  (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (sqrt (cos (+ (* 1/2 eps) x)))
  (log (* (cbrt (exp (cos (+ (* 1/2 eps) x)))) (cbrt (exp (cos (+ (* 1/2 eps) x))))))
  (log (cbrt (exp (cos (+ (* 1/2 eps) x)))))
  (log (sqrt (exp (cos (+ (* 1/2 eps) x)))))
  (log (sqrt (exp (cos (+ (* 1/2 eps) x)))))
  (log 1)
  (log (exp (cos (+ (* 1/2 eps) x))))
  (log (exp (* (cos (* 1/2 eps)) (cos x))))
  (log (exp (* (sin (* 1/2 eps)) (sin x))))
  (log (exp (cos (+ (* 1/2 eps) x))))
  (log (exp (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))))
  (log (exp (sqrt (cos (+ (* 1/2 eps) x)))))
  (log (exp 1))
  (log (log (exp (cos (+ (* 1/2 eps) x)))))
  (exp (log (exp (cos (+ (* 1/2 eps) x)))))
  (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (cbrt (log (exp (cos (+ (* 1/2 eps) x))))))
  (cbrt (log (exp (cos (+ (* 1/2 eps) x)))))
  (* (* (log (exp (cos (+ (* 1/2 eps) x)))) (log (exp (cos (+ (* 1/2 eps) x))))) (log (exp (cos (+ (* 1/2 eps) x)))))
  (sqrt (log (exp (cos (+ (* 1/2 eps) x)))))
  (sqrt (log (exp (cos (+ (* 1/2 eps) x)))))
  (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))
  (+ (log (log (exp (cos (+ (* 1/2 eps) x))))) (log (sin (* 1/2 eps))))
  (log (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (exp (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (* (* (* (log (exp (cos (+ (* 1/2 eps) x)))) (log (exp (cos (+ (* 1/2 eps) x))))) (log (exp (cos (+ (* 1/2 eps) x))))) (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (sin (* 1/2 eps))))
  (* (cbrt (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))) (cbrt (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))))
  (cbrt (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (* (* (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))) (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))) (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (sqrt (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (sqrt (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps))))
  (* (sqrt (log (exp (cos (+ (* 1/2 eps) x))))) (sqrt (sin (* 1/2 eps))))
  (* (sqrt (log (exp (cos (+ (* 1/2 eps) x))))) (sqrt (sin (* 1/2 eps))))
  (* (log (exp (cos (+ (* 1/2 eps) x)))) (* (cbrt (sin (* 1/2 eps))) (cbrt (sin (* 1/2 eps)))))
  (* (log (exp (cos (+ (* 1/2 eps) x)))) (sqrt (sin (* 1/2 eps))))
  (* (log (exp (cos (+ (* 1/2 eps) x)))) 1)
  (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))
  (* (log (exp (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x)))))) (sin (* 1/2 eps)))
  (* (log (exp (sqrt (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps)))
  (* (log (exp 1)) (sin (* 1/2 eps)))
  (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps)))
  (* (sqrt (log (exp (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps)))
  (* (log (exp (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))
  (exp (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x)))))
  (exp (sqrt (cos (+ (* 1/2 eps) x))))
  (exp 1)
  (exp (* (cos (* 1/2 eps)) (cos x)))
  (exp (* (sin (* 1/2 eps)) (sin x)))
  (log (exp (cos (+ (* 1/2 eps) x))))
  (exp (exp (cos (+ (* 1/2 eps) x))))
  (* (cbrt (exp (cos (+ (* 1/2 eps) x)))) (cbrt (exp (cos (+ (* 1/2 eps) x)))))
  (cbrt (exp (cos (+ (* 1/2 eps) x))))
  (* (* (exp (cos (+ (* 1/2 eps) x))) (exp (cos (+ (* 1/2 eps) x)))) (exp (cos (+ (* 1/2 eps) x))))
  (sqrt (exp (cos (+ (* 1/2 eps) x))))
  (sqrt (exp (cos (+ (* 1/2 eps) x))))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/8 (pow eps 2))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
  (- 1 (+ (* 1/2 (* x eps)) (* 1/8 (pow eps 2))))
  (cos (+ x (* 1/2 eps)))
  (cos (+ x (* 1/2 eps)))
  (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* x (pow eps 2)))))
  (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))
  (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps)))
  (- E (+ (* 1/8 (* E (pow eps 2))) (* 1/2 (* x (* E eps)))))
  (exp (cos (+ x (* 1/2 eps))))
  (exp (cos (+ x (* 1/2 eps))))
10.369 * * [simplify]: iteration 0: 102 enodes
10.390 * * [simplify]: iteration 1: 199 enodes
10.443 * * [simplify]: iteration 2: 490 enodes
10.620 * * [simplify]: iteration 3: 1170 enodes
11.239 * * [simplify]: iteration 4: 2671 enodes
11.983 * * [simplify]: iteration complete: 5000 enodes
11.983 * * [simplify]: Extracting #0: cost 41 inf + 0
11.984 * * [simplify]: Extracting #1: cost 312 inf + 3
11.988 * * [simplify]: Extracting #2: cost 1033 inf + 2612
11.997 * * [simplify]: Extracting #3: cost 1098 inf + 32739
12.035 * * [simplify]: Extracting #4: cost 271 inf + 172292
12.094 * * [simplify]: Extracting #5: cost 55 inf + 249231
12.158 * * [simplify]: Extracting #6: cost 3 inf + 275368
12.231 * * [simplify]: Extracting #7: cost 0 inf + 276758
12.292 * [simplify]: Simplified to:
  (* (cos (* eps 1/2)) (cos x))
  (* (sin x) (sin (* eps 1/2)))
  (log (cos (+ (* eps 1/2) x)))
  (exp (cos (+ (* eps 1/2) x)))
  (* (cbrt (cos (+ (* eps 1/2) x))) (cbrt (cos (+ (* eps 1/2) x))))
  (cbrt (cos (+ (* eps 1/2) x)))
  (* (* (cos (+ (* eps 1/2) x)) (cos (+ (* eps 1/2) x))) (cos (+ (* eps 1/2) x)))
  (sqrt (cos (+ (* eps 1/2) x)))
  (sqrt (cos (+ (* eps 1/2) x)))
  (+ (log (cbrt (exp (cos (+ (* eps 1/2) x))))) (log (cbrt (exp (cos (+ (* eps 1/2) x))))))
  (log (cbrt (exp (cos (+ (* eps 1/2) x)))))
  (* 1/2 (cos (+ (* eps 1/2) x)))
  (* 1/2 (cos (+ (* eps 1/2) x)))
  0
  (cos (+ (* eps 1/2) x))
  (* (cos (* eps 1/2)) (cos x))
  (* (sin x) (sin (* eps 1/2)))
  (cos (+ (* eps 1/2) x))
  (* (cbrt (cos (+ (* eps 1/2) x))) (cbrt (cos (+ (* eps 1/2) x))))
  (sqrt (cos (+ (* eps 1/2) x)))
  1
  (log (cos (+ (* eps 1/2) x)))
  (exp (cos (+ (* eps 1/2) x)))
  (* (cbrt (cos (+ (* eps 1/2) x))) (cbrt (cos (+ (* eps 1/2) x))))
  (cbrt (cos (+ (* eps 1/2) x)))
  (* (* (cos (+ (* eps 1/2) x)) (cos (+ (* eps 1/2) x))) (cos (+ (* eps 1/2) x)))
  (sqrt (cos (+ (* eps 1/2) x)))
  (sqrt (cos (+ (* eps 1/2) x)))
  (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))
  (log (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (log (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (exp (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (* (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))) (* (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))) (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))))
  (* (cbrt (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))) (cbrt (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))))
  (cbrt (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (* (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))) (* (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))) (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))))
  (sqrt (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (sqrt (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2))))
  (* (sqrt (cos (+ (* eps 1/2) x))) (sqrt (sin (* eps 1/2))))
  (* (sqrt (cos (+ (* eps 1/2) x))) (sqrt (sin (* eps 1/2))))
  (* (* (cbrt (sin (* eps 1/2))) (cbrt (sin (* eps 1/2)))) (cos (+ (* eps 1/2) x)))
  (* (sqrt (sin (* eps 1/2))) (cos (+ (* eps 1/2) x)))
  (cos (+ (* eps 1/2) x))
  (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))
  (* (sin (* eps 1/2)) (* (cbrt (cos (+ (* eps 1/2) x))) (cbrt (cos (+ (* eps 1/2) x)))))
  (* (sqrt (cos (+ (* eps 1/2) x))) (sin (* eps 1/2)))
  (sin (* eps 1/2))
  (* (cbrt (cos (+ (* eps 1/2) x))) (sin (* eps 1/2)))
  (* (sqrt (cos (+ (* eps 1/2) x))) (sin (* eps 1/2)))
  (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))
  (exp (* (cbrt (cos (+ (* eps 1/2) x))) (cbrt (cos (+ (* eps 1/2) x)))))
  (exp (sqrt (cos (+ (* eps 1/2) x))))
  E
  (exp (* (cos (* eps 1/2)) (cos x)))
  (exp (* (sin x) (sin (* eps 1/2))))
  (cos (+ (* eps 1/2) x))
  (exp (exp (cos (+ (* eps 1/2) x))))
  (* (cbrt (exp (cos (+ (* eps 1/2) x)))) (cbrt (exp (cos (+ (* eps 1/2) x)))))
  (cbrt (exp (cos (+ (* eps 1/2) x))))
  (exp (* (cos (+ (* eps 1/2) x)) 3))
  (sqrt (exp (cos (+ (* eps 1/2) x))))
  (sqrt (exp (cos (+ (* eps 1/2) x))))
  (- 1 (* eps (+ (/ x 2) (* 1/8 eps))))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
  (- 1 (* eps (+ (/ x 2) (* 1/8 eps))))
  (cos (+ (* eps 1/2) x))
  (cos (+ (* eps 1/2) x))
  (* eps (+ 1/2 (* eps (- (* x -1/4) (* 1/12 eps)))))
  (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))
  (* (cos (+ (* eps 1/2) x)) (sin (* eps 1/2)))
  (- E (* (* E eps) (+ (/ x 2) (* 1/8 eps))))
  (exp (cos (+ (* eps 1/2) x)))
  (exp (cos (+ (* eps 1/2) x)))
12.296 * * * [progress]: adding candidates to table
12.722 * [progress]: [Phase 3 of 3] Extracting.
12.722 * * [regime]: Finding splitpoints for: (#<alt (λ (x eps) (* 2 (* (log (/ (exp (* (cos (* 1/2 eps)) (cos x))) (exp (* (sin (* 1/2 eps)) (sin x))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (+ (log (sqrt (exp (cos (+ (* 1/2 eps) x))))) (log (sqrt (exp (cos (+ (* 1/2 eps) x)))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (cbrt (log (exp (cos (+ (* 1/2 eps) x)))))) (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps))))))> #<alt (λ (x eps) (* 2 (* (log (pow E (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))))) (sin (* 1/2 eps)))))>)
12.725 * * * [regime-changes]: Trying 2 branch expressions: (eps x)
12.725 * * * * [regimes]: Trying to branch on eps from (#<alt (λ (x eps) (* 2 (* (log (/ (exp (* (cos (* 1/2 eps)) (cos x))) (exp (* (sin (* 1/2 eps)) (sin x))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (+ (log (sqrt (exp (cos (+ (* 1/2 eps) x))))) (log (sqrt (exp (cos (+ (* 1/2 eps) x)))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (cbrt (log (exp (cos (+ (* 1/2 eps) x)))))) (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps))))))> #<alt (λ (x eps) (* 2 (* (log (pow E (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))))) (sin (* 1/2 eps)))))>)
12.834 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x eps) (* 2 (* (log (/ (exp (* (cos (* 1/2 eps)) (cos x))) (exp (* (sin (* 1/2 eps)) (sin x))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (cos (/ (+ x (+ x eps)) 2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (+ (log (sqrt (exp (cos (+ (* 1/2 eps) x))))) (log (sqrt (exp (cos (+ (* 1/2 eps) x)))))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (cbrt (log (exp (cos (+ (* 1/2 eps) x)))))) (* (cbrt (log (exp (cos (+ (* 1/2 eps) x))))) (sin (* 1/2 eps))))))> #<alt (λ (x eps) (* 2 (* (log (pow E (cos (+ (* 1/2 eps) x)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))> #<alt (λ (x eps) (* 2 (* (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) (sin (* 1/2 eps)))))> #<alt (λ (x eps) (* 2 (* (cbrt (* (* (cos (/ (+ x (+ x eps)) 2)) (cos (/ (+ x (+ x eps)) 2))) (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (cbrt (cos (/ (+ x (+ x eps)) 2)))))) (sin (* 1/2 eps)))))>)
12.906 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
12.906 * [simplify]: Simplifying:
  (* 2 (* (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) (sin (* 1/2 eps))))
12.906 * * [simplify]: iteration 0: 16 enodes
12.907 * * [simplify]: iteration 1: 20 enodes
12.907 * * [simplify]: iteration complete: 20 enodes
12.907 * * [simplify]: Extracting #0: cost 1 inf + 0
12.907 * * [simplify]: Extracting #1: cost 3 inf + 0
12.907 * * [simplify]: Extracting #2: cost 4 inf + 1
12.908 * * [simplify]: Extracting #3: cost 7 inf + 1
12.908 * * [simplify]: Extracting #4: cost 12 inf + 1
12.908 * * [simplify]: Extracting #5: cost 11 inf + 3
12.908 * * [simplify]: Extracting #6: cost 8 inf + 148
12.908 * * [simplify]: Extracting #7: cost 2 inf + 1181
12.908 * * [simplify]: Extracting #8: cost 0 inf + 2108
12.908 * [simplify]: Simplified to:
  (* 2 (* (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x))) (sin (* 1/2 eps))))
19.667 * [regime-testing]: Baseline error score: 0.3189407651546101
19.676 * [regime-testing]: Oracle error score: 0.0941021050735422
19.693 * [regime-testing]: End program error score: 0.3189407651546101
19.784 * [regime-testing]: Target error score: 14.993412491128192